SOMEONE PLS HELP PLS PLS PLS PLS I DONT UNDERSTAND ANYTHING AND I WANT TO SCREAM THIS IS SO DIFFICULT ILL GIVE BRAINLIEST AND ALL THAT STUFF PLS HELP.

SOMEONE PLS HELP PLS PLS PLS PLS I DONT UNDERSTAND ANYTHING AND I WANT TO SCREAM THIS IS SO DIFFICULT

Answers

Answer 1

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

in this exercise, when asking you to simplify the fraction, you are actually asking to rationalize the denominator, that is, you operate the fraction until any square root of the denominator disappears

In order to do that, the first thing to do is multiply both the denominator and the numerator by the root that you want to eliminate, that is, by [tex]\sqrt{5}[/tex] :

[tex]\frac{5}{\sqrt{5}}*\frac{\sqrt{5} }{\sqrt{5} }  =\frac{5*\sqrt{5} }{\sqrt{5} *\sqrt{5} } = \frac{5\sqrt{5} }{\sqrt{5} ^{2} } =\frac{5\sqrt{5} }{5} =\sqrt{5}[/tex]

Answer 2

Answer:

the answer is 7.2

Step-by-step explanation:

the square root of 5 is 2.2 that plus 5 is 7.2

Can I get brainliest


Related Questions

Please help me with this

Answers

Answer:

Step-by-step explanation:

Start with the distance squared.

The distance from the center to the point on the circle is found from

Formula

d^2 = r^2 = (x2 - x1)^2 + (y2 - y1)^2

Givens

x2 = 2

x1 = - 5

y2 = -8

y1 = - 8

Center= (-5,-8)

Solution

r^2 = (2 - - 5)^2 + (-8 - - 8)^2

r^2 = 49 + 0

r^2 = 49

equation

(x + 5)^2 + (y + 8)^ = 49

Find the area and the circumference of a circle with diameter 8 ft.

Answers

Answer:

Area: pir^2

r=4

4pi^2

if pi=3.14

then the area is 50.24ft^2

Circumference: pi x d

d=8

8pi

if pi=3.14

then the circumference is 25.12ft.

ANSWER

Circumference=8πft

Area=16π ft²

EXPLANATION

The circumference of a circle calculated using the formula:

C=πd

The diameter of the circle is 8ft.

The circumference is

C=8π ft.

The area of a circle is given by:

A = πr²

Where r=8/2=4 ft is the radius of the circle.

Therefore the area is

A = π×4²

A=16π ft²

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A population of bacteria is growing according to the exponential model P = 100e(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]

Answers

Answer:  B) 1.6

Step-by-step explanation:

[tex]P=100e^{0.70t}\\\\\underline{\text{Substitute P = 300:}}\\300=100e^{0.70t}\\\\\\\underline{\text{Divide both sides by 100:}}\\3=e^{0.70t}\\\\\\\underline{\text{Apply ln to both sides:}}\\ln\ 3=ln\ e^{0.70t}\\\\\\\underline{\text{ln e cancels out:}}\\ln\ 3=0.70t\\\\\\\underline{\text{Divide both sides by 0.70:}}\\\dfrac{ln\ 3}{0.70}=t\\\\\\\underline{\text{Evaluate using a calculator:}}\\1.569=t[/tex]

Find the zeros of the following polynomial.
3x3 + 9x2 - 12x

Answers

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

If you factor 3x from the expression, you have

[tex]3x^3+9x^2-12x=3x(x^2+3x-4)[/tex]

So, we have

[tex]3x(x^2+3x-4)=0 \iff 3x=0\lor x^2+3x-4=0[/tex]

We easily have

[tex]3x=0\iff x=0[/tex]

So, one solution is x=0.

The other solutions depend on the quadratic equation:

[tex]x^2+3x-4=0 \iff x=-4 \lor x=1[/tex]

So, the solutions are [tex]x=-4,\ 0,\ 1[/tex]

A card is randomly selected from the standard deck. What is the probability of selecting a red card, the king of spades, or the ace of clubs?

A: 1/2

B: 7/13

C: 27/52

D: 15/52

Answers

Answer:

d

Step-by-step explanation:

13 red, 1 king of spade, 1 ace of club

A jet travels 430 miles in 5 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?

Answers

Answer:

430/5*9 = 774 miles

Step-by-step explanation:

Find the value of x, rounded to the nearest tenth

Answers

Answer:

B

Step-by-step explanation:

Use the law of sines to create a proportion.

[tex]\frac{18}{sin(90)}=\frac{x}{sin(20)}[/tex]

Solve for [tex]x[/tex].

[tex]x=6.2[/tex]

Answer:

[tex]x=6.2[/tex]

Step-by-step explanation:

Given triangle is right triangle so we can use trigonometric ratios to find the value of x.

[tex]\sin\left(\theta\right)=\frac{opposite}{hypotenuse}[/tex]

[tex]\sin\left(20^o\right)=\frac{x}{18}[/tex]

[tex]\sin\left(20^o\right)(18)=x[/tex]

[tex](0.34202014332566873304409961468226)(18)=x[/tex]

[tex]6.1563625798620371947937930642807=x[/tex]

[tex]x=6.1563625798620371947937930642807[/tex]

[tex]x=6.2[/tex]

Hence final answer is [tex]x=6.2[/tex]

Find the value of y. Round your answer to the nearest tenth

Answers

ANSWER

9.6

EXPLANATION

The given trigonometric equation is:

[tex] \cos(21 \degree) = \frac{9}{y} [/tex]

We want to find y, so we multiply both sides by y to get,

[tex]y\cos(21 \degree) = \frac{9}{y} \times y[/tex]

Cancel out the common factors,

.

[tex]y\cos(21 \degree) = 9[/tex]

. Divide both sides by cos(21°)

[tex]y= \frac{9}{\cos(21 \degree)} [/tex]

[tex]y = 9.64[/tex]

To the nearest tenth, y=9.6

Find the volume of the pyramid, if The base is a rectangle with sides of 3 in and 5 in while the height of the pyramid is 10 in

Answers

Answer:

50 inches cubed

Step-by-step explanation:

To solve the volume of a rectangular pyramid, the equation l×w×h divided by 3 can be used. Plug in the numbers given to you in the question- the length of the base is 3, width of base is 5, and height of pyramid is 10 so the equation becomes 3×5×10 divided by 3. When solved, you get 50.

Which step of the equation is invalid?

Answers

I am pretty sure it’s step one

A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.

Answers

The volume of the foam is  : 8[tex]r^{3}[/tex]

What is a cube?

A cube is a three dimensional shape made of 6 squares.

it has 8 corners and 12 edges.

Analysis:

Given that the sphere fits snugly in the cube the length of each face of the cube would be twice the radius of the sphere.

therefore:

L = 2r

where r = radius of sphere,

L = length of each face of cubic foam

volume of cubic foam = [tex]L^{3}[/tex]

= [tex](2r)^{3}[/tex]

= [tex]8r^{3}[/tex]

In conclusion, the volume of the cubic foam is  [tex]8r^{3}[/tex]

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gymnastics incline mat is shaped like a wedge two sides of the matter shaped like right triangles how much vinyl is needed to cover both of triangular sides. 15in. and 33in.​

Answers

Vinyl is = 15 in. * 33 in. = 495 in.²

Vinyl is needed 495 inches² to cover both of triangular sides

We have to given that,

Gymnastics incline mat is shaped like a wedge two sides of the matter shaped like right triangles.

Now, We know that,

Area of triangle is,

⇒ A = 1/2 x  base x height

Here, base = 33 inches

Height = 15 inches

Since, Vinyl needed to cover both of the triangular sides.

Hence, Area is,

A = 2 (Area of triangle)

A = 2 (1/2 x  base x height)

A = base x height

A = 15  x 33

A = 495 inches²

Thus, Vinyl is needed 495 inches² to cover both of triangular sides.

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Name 3 geometric solids which have circular cross-sections

Answers

Answer:

  sphere, cylinder, (right circular) cone

Step-by-step explanation:

Any cross section of a sphere is a circle.

A cross section parallel to the base of a cylinder or cone will have the same shape as the base. By definition, a cylinder has a circular base. A "right circular" cone will also have a circular base.

___

A torus, ellipsoid, or hyperboloid may also have a circular cross section.

Identify one characteristic of exponential decay
A. A common ratio between 0 & 1
B. A common ratio greater than 1
C. A common difference less than 0
D. A graph that is an increasing curve

Answers

Answer: A

Hope this helps you out!

A common ratio between 0 and 1

Harry took a loan from the bank.

D(t)D(t)D, left parenthesis, t, right parenthesis models Harry's remaining debt (in dollars) as a function of time ttt (in months).

D(t)=-200t+9000D(t)=−200t+9000D, left parenthesis, t, right parenthesis, equals, minus, 200, t, plus, 9000

What was the size of Harry's loan?

Answers

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

[tex]D(t) =-200t+ 9000[/tex]

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

[tex]D(t)=-200(0)+9000[/tex]

So,[tex]D(t) =9000[/tex]

Hence, the size of Harry's loan is $9000.

Answer:

$200

Step-by-step explanation:

I got $9000 wrong on Khan and $200 right

Let u = <-7, -2>. Find 4u.

a. <-28, -8>
b. <-28, 8>
c. <28, -8>
d. <28, 8>

Answers

Answer:

a. <-28, -8>

Step-by-step explanation:

The given vector is

u = <-7, -2>.

To find 4u, we multiply the given vector by the scalar 4.

4u =4 <-7, -2>.

4u =<-7\times4, -2\times4>.

We multiply out to get;

4u =<-28, -8>.

The correct choice is a. <-28, -8>

The answer is <-28 or >8

find the exact value of csc theta if cot theta = -2 and the terminal side of theta lies in quadrant II (2).

Answers

let's recall that on the II Quadrant x/cosine is negative whilst y/sine is positive,

also let's recall that the hypotenuse is simply the radius distance and thus is never negative.

[tex]\bf cot(\theta )=\cfrac{\stackrel{adjacent}{-2}}{\stackrel{opposite}{1}}\impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-2)^2+1^2}\implies c=\sqrt{5} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{5}}}{\stackrel{opposite}{1}}\implies csc(\theta )=\sqrt{5}[/tex]

The exact value of csc theta when the value of cot theta is  -2 and the terminal side of theta lies in quadrant II (2) is √(5).

What is the terminal side of an angle?

The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.

The exact value of csc theta has to be found out. The value of cot theta is,

cot θ = -2

cot θ =-2/1.

By the property of right angle triangle, the ratio of adjacent side to the opposite side is equal to the cot theta. Thus,

Adjacent side= -2

Opposite side= 1

The value of hypotenuse side is equal to the square root of the sum of the square of adjacent side and opposite side. Thus,

Hypotenuse side=√((-2)²+1²)

Hypotenuse side=√(5)

By the property of right angle triangle, the ratio of hypotenuse side to the opposite side is equal to the coses theta. Thus,

coses θ =√(5)/1

coses θ =√(5)

Hence, the exact value of csc theta when the value of cot theta is  -2 and the terminal side of theta lies in quadrant II (2) is √(5).

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Which characteristic is correct for the function f(x) = −2x^3 + 3x^2 ?




A. even

B. neither even nor odd

C. odd

D.both even and odd

Answers

Answer:

B

Step-by-step explanation:

The function is cubic (the highest power is 3), so it can't be even.  It's either odd or neither.

We can either graph the function, or we can test that it's symmetrical about the origin by seeing if f(x) = -f(-x).

f(x) = -2x³ + 3x²

f(-x) = -2(-x)³ + 3(-x)²

f(-x) = 2x³ + 3x²

f(x) ≠ -f(-x), so the function is neither even nor odd.

The answer is B because if you add the negative sign it will change

A storage compartment for a gym locker room can hold up to 7 folded towels. There are 22 compartements for towels. Katie has 150 towels to fold and put away. How many of the compartments will be filled? How many towels will be in a compartment that is not completely filled.

Answers

The 21 compartments will be fully filled and the last compartment will contain 3 towels.

The number of compartments that will be filled =  total number of towels/ capacity of one compartment.

So we have 150 towels / 7 towels per compartment ≈ 21.43.

Since we can't have a fraction of a compartment, this means that 21 compartments will be fully filled.

The remaining towels can be found = the total number of towels - the number of towels that fit into the full compartments

Total no. of towels that fit into all compartments = 21 compartments × 7 towels each = 147 towels.

Therefore, we have 150 - 147 = 3 towels left, which will be in the compartment that is not completely filled.

There are 21 compartments filled with towels, and in the 22nd compartment, there will be 3 towels.

Number of compartments filled: 21 compartments  

Towels in a partially filled compartment: 6 towels  

To calculate the number of compartments filled, we need to divide the total number of towels by the maximum number of towels each compartment can hold:

[tex]\( \text{Number of compartments filled} = \frac{\text{Total number of towels}}{\text{Maximum towels per compartment}} \)[/tex]

[tex]\( \text{Number of compartments filled} = \frac{150}{7} = 21.4285 \)[/tex]

Since we can't have a fraction of a compartment, we round down to the nearest whole number, which is 21.

To find out how many towels will be in a compartment that is not completely filled, we subtract the total number of towels already placed in filled compartments from the total number of towels:

[tex]\( \text{Remaining towels} = \text{Total number of towels} - (\text{Number of compartments filled} \times \text{Maximum towels per compartment}) \)[/tex]

[tex]\( \text{Remaining towels} = 150 - (21 \times 7) = 150 - 147 = 3 \)[/tex]

So, there are 21 compartments filled with towels, and in the 22nd compartment, there will be 3 towels.

Complete question

A storage compartment for a gym locker room can hold up to 7 folded towels. There are 22 compartments for towels. Katie has 150 towels to fold and put away. How many of the compartments will be filled? How many towels will be in a compartment that is not completely filled?

Please help me out!!!!!!!!

Answers

The probability that an item is either Large or Blue, [tex]\( P(\text{Large or Blue}) \)[/tex], is 0.7 after simplification.

To find the probability [tex]\( P(\text{Large or Blue}) \)[/tex], we will use the principle of inclusion-exclusion. The formula for two events A and B is:

[tex]\[ P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B) \][/tex]

Let's define our events as:

- A = The event that an item is Large.

- B = The event that an item is Blue.

Looking at the table:

- The probability that an item is Large, [tex]\( P(\text{Large}) \)[/tex], is the sum of all Large items divided by the total number of items.

- The probability that an item is Blue, [tex]\( P(\text{Blue}) \)[/tex], is the sum of all Blue items divided by the total number of items.

- The probability that an item is both Large and Blue, [tex]\( P(\text{Large and Blue}) \)[/tex], is the number of items that are both Large and Blue divided by the total number of items.

From the table:

There are [tex]\( 17 + 8 = 25 \)[/tex] Large items.There are [tex]\( 17 + 3 = 20 \)[/tex] Blue items.There are [tex]\( 17 \)[/tex] items that are both Large and Blue.The total number of items is [tex]\( 17 + 3 + 8 + 12 = 40 \)[/tex].

Now we can calculate the probabilities:

[tex]\[ P(\text{Large}) = \frac{25}{40} \][/tex]

[tex]\[ P(\text{Blue}) = \frac{20}{40} \][/tex]

[tex]\[ P(\text{Large and Blue}) = \frac{17}{40} \][/tex]

Using the inclusion-exclusion principle:

[tex]\[ P(\text{Large or Blue}) = P(\text{Large}) + P(\text{Blue}) - P(\text{Large and Blue}) \][/tex]

Let's do the calculations.

The probability of an item being Large or Blue is [tex]\( P(\text{Large or Blue}) = 0.7 \)[/tex], which is already in its simplest form.

THE LIN FAMILY HAS A FISH WITH DIFFERENT COLORS OF FISH . THERE ARE 7 BLUE FISH 4 GREEN FISH ,AND 4 YELLOW WHAT IS THE RATIO OF YELLOW FISH TO TOTAL WRITE THE RATIO IN 3 WAYS

Answers

Answer:

4:15, 4 to 15, 4/15

Tell whether the sequence is arithmetic. If It is what is the common difference?

Answers

Answer:

yes; 5

Step-by-step explanation:

To determine if the sequence is arithmetic, take the second term and subtract the first term

-7 - (-12) = -7+12 = 5

This would be the common difference if our sequence is arithmetic

Now take the second term and add the"common difference"

-7+5 = -2  This is our third term

-2+5 = 3  This is our fourth term

The sequence is arithmetic with a common difference of 5

What is the factored form of 8x24-27y6

Answers

Answer:

(2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)

Step-by-step explanation:

For this case we must factor the following expression:

[tex]8x^{24} -27y ^ 6[/tex]

So:

We rewrite [tex]8x^{24}\ as\ (2x ^ 8) ^ 3[/tex]

We rewrite[tex]27y ^ 6\ as\ (3y ^ 2) ^ 3[/tex]

(2x ^ 8) ^ 3- (3y ^ 2) ^ 3

Since both terms are perfect cubes, factor using the cube difference formula:

[tex]a ^ 3-b ^ 3 = (a-b) (a ^ 2 + ab + b ^ 2)[/tex]

Where:

[tex]a = 2x ^ 8\\b = 3y ^ 2[/tex]

Rewriting:

[tex](2x ^ 8-3y ^ 2) ((2x ^ 8) ^ 2 + (2x ^ 8) (3y ^ 2) + (3y ^ 2) ^ 2) =\\(2x ^ 8-3y ^ 2) (4x ^{16} + 6x ^ 8y ^ 2 + 9y ^ 4)[/tex]

ANswer:

Option C

A board game uses the deck of 20 cards shown to the right. two cards are selected at random from this deck. calculate the probability that the first card selected has a red bird and the second card selected has a lion​, both with and without replacement.

Answers

The probability with replacement is [tex]= 1 \div 16[/tex]

The probability without replacement is [tex]= 5 \div 16[/tex]

Calculation of probability with or without replacement:

(a)

With replacement

Since cards should be replaced, 5 lions or 5 legs

So, the probability is

[tex]= 5\div 20 \times 5\div 20\\\\= 1 \div 16[/tex]

(b)

Without replacement

Since cards should not be put back, for the second draw only 19 cards are left

So, the probability is

[tex]= 5\div 20 \times 5\div 19\\\\= 5 \div 16[/tex]

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Final answer:

To calculate probability with and without replacements, we adjust the number of total outcomes depending on whether the card is replaced or not after each draw. For this specific scenario, when there is no replacement, the probability of drawing a red bird and then a lion is (5/20)*(5/19), while with replacement it is (5/20)*(5/20).

Explanation:

Your question involves the concepts of probability and specifically the difference between sampling with and without replacement. Let's assume, for the sake of this example, that there are 5 red bird cards and 5 lion cards in the deck of 20 cards.

1. Sampling without replacement: After the first card (a red bird) is taken out, it is not added back into the deck. So the deck now only has 19 cards. So, the probability of drawing a red bird card first is 5/20 or 1/4. Then, the probability of drawing a lion card second is 5/19.

2. Sampling with replacement: After the first card (a red bird) is pulled out, it is replaced back into the deck. So the deck continues to have 20 cards. So, the probability of drawing a red bird first is still 5/20 or 1/4 and the probability of drawing a lion card second is still 5/20 or 1/4.

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Where does the parentheses go and equation 7 + 16 -8 / 2 + 2 * 25 divided by 5 to get the total number of 21?

Answers

Answer:

Through trial and error:

7 + (16 - 8) / 2 + (2 * 25 / 5)

Hank raises mealworms. In a square of compost 5ft by 5ft, he can have 2000 mealworms. How many mealworms can he have if his square of compost has a side length that is six times longer

Answers

Answer:

72,000

Step-by-step explanation:

wth dude i do not know

An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The word tiles come in two sizes: The smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. If the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?

Answers

Calculate the cost per square foot for each size tile.

1 square foot = 144 square inches.

Small tile = 4 x 4 = 16 square inches.

16 / 144 = 1/9 square foot.

Cost per square foot = 3.50 / 1/9 = $31.50 per square foot.

Large tile = 6 x 12 = 72 square inches.

72 / 144 = 1/2 square foot.

Cost per square foot = 4.50 / 1/2 = $9 per square foot.

The minimum area of the mosaic is 3 feet x 5 feet = 15 square feet.

The large tiles are cheaper per square foot.

Total tiles needed = 15 sq. ft.  / 1/2 sq. ft = 30 tiles.

30 tiles x 4.50 each = $135

Solve by your method of choice.

Answers

Answer:

B

Step-by-step explanation:

Given the 2 equations

x³ + y = 0 → (1)

11x² - y = 0 → (2)

Add (1) and (2) term by term to eliminate the term in y

x³ + 11x² = 0 ← factor out x² from each term

x²(x + 11) = 0

Equate each factor to zero and solve for x

x² = 0 ⇒ x = 0

x + 11 = 0 ⇒ x = - 11

Substitute these values into (1) for corresponding values of y

(1) y = - x³

x = 0 ⇒ y = 0 ⇒ (0, 0) is a solution

x = - 11 ⇒ y = - (- 11)³ = 1331 ⇒ (- 11, 1331) is a solution

You estimate that a jar contains 68 marbles. The actual number of marbles is 60. Find the percent error. Round your answer to the nearest tenth. The percent error is about %.

Answers

Percent error = |(Measured - Actual) / Actual| × 100. For Measured 68, Actual 60: [tex]\( \frac{|68 - 60|}{60} \times 100 ≈ 13.3\% \).[/tex]



To find the percent error, you can use the formula:

[tex]\[ \text{Percent Error} = \left| \frac{\text{Measured Value} - \text{Actual Value}}{\text{Actual Value}} \right| \times 100 \]\\[/tex]

Given:

- Measured Value = 68

- Actual Value = 60

Substitute these values into the formula:

[tex]\[ \text{Percent Error} = \left| \frac{68 - 60}{60} \right| \times 100 \]\[ \text{Percent Error} = \left| \frac{8}{60} \right| \times 100 \]\[ \text{Percent Error} = \left| 0.1333... \right| \times 100 \]Now, rounding to the nearest tenth:\[ \text{Percent Error} ≈ 13.3\% \]\\[/tex]

So, the percent error is about 13.3%. This indicates that the measured value is approximately 13.3% higher than the actual value.

The percent error, rounded to the nearest tenth, is about 13.3%.

To find the percent error, you can use the following formula:

[tex]\[\text{Percent Error} = \frac{{|\text{Estimated Value} - \text{Actual Value}|}}{{\text{Actual Value}}} \times 100.\][/tex]

Here, the estimated value is 68 marbles, and the actual value is 60 marbles.

Calculate the absolute error :

  [tex]\[ |\text{68 - 60}| = 8. \][/tex]

Calculate the relative error :

[tex]\[ \frac{{8}}{{60}}. \][/tex]

Convert to percentage :

[tex]\[ \frac{{8}}{{60}} \times 100 = 13.333. \][/tex]

Round to the nearest tenth :

[tex]\[ \approx 13.3.[/tex]

Thus, the percent error, rounded to the nearest tenth, is about 13.3%.

Question :

You estimate that a jar contains 68 marbles. The actual number of marbles is 60. Find the percent error. Round your answer to the nearest tenth. The percent error is about %.

Peter knows that pentagon DEFGH has 5 congruent sides. How can he determine if the pentagon,has 5 congruent angles without measuring?

Answers

Final answer:

To determine if pentagon DEFGH has 5 congruent angles, Peter needs to consider if it is a regular pentagon. Regular pentagons have 5 congruent sides and angles. In such pentagons, each angle measures 108°.

Explanation:

Peter can determine if the pentagon has 5 congruent angles by checking if it is a regular pentagon. A regular pentagon is defined as having all its sides and angles equal. If the pentagon DEFGH is regular, it will have 5 congruent sides and 5 congruent angles.

The Pythagorean theorem would apply if DEFGH were a triangle, where D and L are sides with hypotenuse s. For pentagons, the theorem is not applicable. It's important to remember that the angles of any pentagon add up to 540°. So, in a regular pentagon, each angle measures 108° because 540°/5=108°.

Learn more about Regular Polygon here:

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