What is the solution to the equation?

A. h=11/3

B.h=5

C.h=21/2
D. h=7

Answer:

[tex]EH=12\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

ABCD and EFGH are similar

so

CD is proportional to GH

AD is proportional to EH

[tex]\frac{CD}{GH}=\frac{AD}{EH}[/tex]

substitute the given values and solve for EH

[tex]\frac{2}{3}=\frac{8}{EH}[/tex]

[tex]EH=3*8/2=12\ units[/tex]

Let's solve your equation step-by-step.

2x3−5x2+3x+7=x−2

Step 1: Subtract x-2 from both sides.

2x3−5x2+3x+7−(x−2)=x−2−(x−2)

2x3−5x2+2x+9=0

Step 2: Factor left side of equation.

(x+1)(2x2−7x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or 2x2−7x+9=0

x=−1

Answer:

x=−1

The given equation is rearranged into a polynomial equation, and can be solved using methods such as factoring, the quadratic formula, graphing, or completing the square.

To solve this question, you first need to set the equation in order. You should arrange it as a quadratic equation (ax²+bx+c = 0). Given equation is:

2x³ - 5x² + 3x + 7 = x-2

We need to simplify this equation by adding '2' on both sides and subtracting 'x' from both sides:

2x³ - x - 5x² + 3x + 1 = 0

Now, it has been transformed into a polynomial equation with the variable x. Solving this kind of equation requires methods such as factoring, quadratic formula, graphing or completing the square.

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Answer:-13

Step-by-step explanation:

-8 + b^2 - 5 - b^2

=============

-13

Answer:

-13           __________________________

Step-by-step explanation:

Answer:

[tex]x=8\sqrt{2}[/tex] units

Step-by-step explanation:

The given triangle is an isosceles right triangle.

This implies that, the second leg is also x units.

We use the Pythagoras Theorem to obtain:

[tex]x^2+x^2=16^2[/tex]

[tex]2x^2=256[/tex]

Divide both sides by 2; to get

[tex]x^2=128[/tex]

Take positive square root to get:

[tex]x=\sqrt{128}[/tex]

[tex]x=8\sqrt{2}[/tex]

ANSWER

Each triangle:40 cm²

Kite : 80cm²

EXPLANATION

The area of a triangle is

[tex] \frac{1}{2}bh[/tex]

The height of the triangle is

[tex] h = \frac{1}{2} (10)=5cm[/tex]

and the base is 16 cm.

The area of each triangle is

[tex] = \frac{1}{2}(16)(5) = 40 {cm}^{2} [/tex]

2. The total area of the kite is 2 times the area of one triangle.

[tex] = 2 \times 40 = 80 {cm}^{2} [/tex]

Answer:

The first answer to your question is B=40

The second answer to your question is B=80

Step-by-step explanation:

Right on ED2021, goodluck!

QUES 1)

Let x denote the gig of data used.

and y denote the monthly charge for use of data

We know that the equation of a line with given slope "m" and y-intercept "c" is given by:

       y=mx+c

Runfast--

The monthly charge is: $ 8

and the cost of per gig of data is: $ 8

Since, the cost per gig represent the slope and fixed monthly charge represent the y-intercept.

Hence, the equation that is given by this set of information is:

             [tex]y=8x+8---------(1)[/tex]

BA & D--

The monthly charge is: $ 15

and the cost of per gig of data is: $ 4

Hence, the equation that is given by this set of information is:

             [tex]y=4x+15-----------(2)[/tex]

QUES 2)

We will substitute the value of y from equation (1) in equation (2) as follows:

 8x+8=4x+15

i.e.  8x-4x=15-8

i.e.   4x=7

i.e.   x=7/4=1.75

and the value of y is:

y=8×1.75+8

i.e.    y=22

Hence, the cost of both the companies are equal when 1.75 gigs of data is used and the cost is: $ 22

( Since , the solution is: (1.75,22)  )

Answer:

6720ft^3

Step-by-step explanation:

37²-12² = a²

1225 = a²

√1225 = a

a = 35

35(24²/3) =

35(576/3) =

35•192 = 6720 cm³

The answer is 6720 ft

......................................

Answer:

please upload the complete image once again for better understanding.

Step-by-step explanation:

Answer:

The answer is 4/5

Step-by-step explanation:

Answer:

Circumference=37.6991 or 38

Step-by-step explanation:

c=2[tex]\pi[/tex]r

c=2[tex]\pi[/tex]6

c=37.6991

Answer:

Step-by-step explanation:

c=2\pir

Answer:

D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

D. -3 and  4

Step-by-step explanation:

-12 = -3 x 4

-3  + 4 = 1

so

x^2 + x - 12

=  (x - 3)(x + 4)

Answer

D.  -3 and 4

ANSWER

D. -3 and 4

EXPLANATION

The given quadratic trinomial is

[tex] {x}^{2} + x - 12[/tex]

To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.

We can see from the table that, when p=-3 and q=4, then p+q =1.

The trinomial can now be factored as:

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

The correct answer is D.

Answer:

12 5 dollar bills

20 50 dollar bills

Step-by-step explanation:

Let x = number of five dollar bills

Let y = number of fifty dollar bills

We have a total of 32 bills

x+y = 32

The total amount is 1060

5x+50y = 1060

We have 2 equations and 2 unknowns

x+y = 32

5x+50y = 1060

Multiply the first equation by -5 so we can eliminate x

-5x -5y = -5*32

-5x -5y =-160

Add this to the second equation

5x+50y = 1060

-5x -5y =-160

------------------------

45 y    = 900

Divide each side by 45

45y/45 = 900/45

y = 20

There are 20 50 dollar bills

x+y = 32

x+20 = 32

Subtract 20 from each side

x+20-20 = 32-20

x = 12

There are 12 5 dollar bills

Answer: About 134% of last years earnings

Step-by-step explanation:

Answer:

39366

Step-by-step explanation:

Answer:

1. 2

2. 6,

3. 18,

4. 54,

5. 162,

6. 486,

7. 1,456,

8. 4,368

9. 13,104

10. 39,312

Step-by-step explanation:

Step-by-step Answer:

Given:

W=vehicle is White

T=vehicle is a pick-up Truck

P(W and T)=0.06

P(W)=0.25

P(T)=0.15

We need the conditional probability that a vehicle is white, given that it is a pick-up truck:

P(W | T)

= P(W and T) / P(T)

= 0.06 / 0.15

=0.4

Answer:

0.40

Step-by-step explanation:

Answer:

11: b = c - 0.5, where b is the bread and c is the cheese

12: h = b + 2, where h is the height and b is the base

13: p = 25b, where p is the plane ticket and b is the bus ticket

Answer: 25868

Find area of circle, then add to are of rectangle

Answer:

23745 ft²

Step-by-step explanation:

Area of the Rectangle = LW = 146 x 119 = 17374 ft²

Area of 3/4 of a circle = 3/4r²π = 3/4 x 52² x π = 6371.14990148... ≈ 6371 ft²

Total area = 23745 ft²

The formula for area of a triangle is: 1/2 x base x height.

You are given the height of 4 and the area of 4.

Replace those in the formula and solve for x ( base)

4 = 1/2 x base x 4

Divide both sides by 4:

1 = 1/2 x base

Multiply both sides by 2:

2 = base

x = 2

Answer:

2=X

Step-by-step explanation:

The area of a triangle is ..

A=1/2 (b×h)

b=base

h=height

Therefore you must plug in what you know and work backwards

4=1/2 (x×4)

×2=×2

___ _________

8=(x×4)

÷4= ÷4

____ _____

2=x

Answer:192^3

Step-by-step explanation:

Multiply the base x width x height (6, 8, 4) and get your answer 192^3.

The volume of composite figure is [tex]76ft^{3}[/tex]

To find the volume of composite figure,

Let us consider that, given figure is complete.

So that, [tex]length=6ft, width=2ft, height=8ft[/tex]

Volume of complete figure,

            [tex]Volume=length*width*height\\\\Volume=6*2*8=96ft^{3}[/tex]

Now find the volume of cut part.

           [tex]Volume=2*2*5=20ft^{3}[/tex]

Volume of composite figure is,

                     [tex]96-20=76ft^{3}[/tex]

Learn more about the Volume here:

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Answer:

8

Step-by-step explanation:

6+4/4+3/3=8

For this case we have the following expression:

[tex]6+ \frac {4} {a} + \frac {b} {3}[/tex]

We must evaluate the expression when:

[tex]a = 4\\b = 3[/tex]

Substituting in the expression:

[tex]6+ \frac {4} {4} + \frac {3} {3} =\\6 + 1 + \frac {3} {3} =\\6 + 1 + 1 =\\7 + 1 =\\8[/tex]

ANswer:

The value of the expression when[tex]a = 4[/tex] and [tex]b = 3[/tex], is 8

Centi means [tex]10^{-2}=\frac{1}{100}[/tex] that also means you can write 1024 cm as [tex]1024\cdot\frac{1}{100}[/tex] m.

Now we can simplify the above fraction a little bit.

[tex]

1024\cdot\frac{1}{100}=\frac{1024}{100}=\boxed{10.24}

[/tex]

Which means 1024 cm is 10.24 m.

Hope this helps.

r3t40

There are 100 cm in 1 meter so to convert 1024 cm to meters divide 1024 by 100

1024/100 = 10.24

In 1024 cm there are 10.24 meters

Hope this helped!

~Just a girl in love with Shawn Mendes

It’s 50 you use the Pythagorean theorem

A^2 + B^2 = C^2

48^2 + 14^2 = C^2

2304 + 196 = C^2

2500= c^2

Then square root 2500 and you get 50

ANSWER

B. Domain is (-∞,∞) and Range is (-∞,∞).

The given function is

[tex]f(x) = \sqrt[3]{x - 6} + 5[/tex]

This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.

This function is defined for all real values of x.

Therefore the domain is all real numbers.

The range is all real numbers.

The domain for this function becomes the range for the inverse function and the range becomes the domain.

Hence the domain is (-∞,∞) and the range is (-∞,∞).

Answer:

1 Goes with A. 2 Goes with C. 3 Goes with B.

Step-by-step explanation:

I counted them lol

Answer:

x > 12

Answer for 2/3>8

Answer:

x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞)

Step-by-step explanation:

Let's find the solution by modifying the conditions like this:

First condition:

2/3x > 8

Notice that x needs to be a positive number because if x is negative number the expression 2/3x is always negative, and the given condition will be false. Also, x can't be 0 because dividing by 0 is not allowed.

Multiplying the first condition in both sides by (3x/2) we obtain:

(2/3x)*(3x/2) > 8*(3x/2) equal to:

1 > 12x, which dividing by 12 in both sides is:

1/12 > x, which means a domain: (0,1/12)

Second condition:

2/3x < 4

Notice that if x is negative, the expression (2/3x) is always negative, so the second condition will be always true, so negative numbers are not a problem for this conditions.

Let's find the highest positive number which allows the second condition to be a true statement.

Multiplying the second condition in both sides by (3x/2) we obtain:

(2/3x)*(3x/2) < 4*(3x/2) equal to:

1 < 6x, which dividing by 6 in both sides is:

1/6 < x which means a domain: (-∞,0) ∪ (1/6,∞), notice that 0 is not in the domain because dividing by 0 is not allowed, but also as mentioned before negative numbers makes the statement true.

Notice that the problem uses the word OR (condition one or condition two), which means that we need to create a domain for x which allows that always at least one condition is true.

Adding the x domains for the two conditions we obtain:

(-∞,0) ∪ (0,1/12) ∪ (1/6,∞); notice that all the boundary numbers are not included.

In conclusion, the statement 2/3x>8 or 2/3x<4 is true for x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞).

Answer:

For any question like this you take the number of ways an event can happen (odd number) and divide by the total number of possibilities (sides of a die). If you assume a six sided die there are 3 odd numbers, 1,3, 5. And 6 total sides, so 3/6 = 1/2 or 50%.

Step-by-step explanation:

Final answer:

The probability of rolling an odd number and then a number greater than 5 on a six-sided die in sequence is calculated by multiplying the two independent probabilities, resulting in a combined probability of 1/12.

Explanation:

The student wants to know the probability of landing on an odd number and then landing on a number greater than 5 when rolling a six-sided die. To solve this problem, we need to consider the two separate events independently and then calculate the combined probability.

First, let's consider the probability of landing on an odd number. There are three odd numbers on a die: 1, 3, and 5. Since each outcome is equally likely, the probability is the number of favorable outcomes over the number of possible outcomes, which is P(odd number) = 3/6 = 1/2.

Next, we calculate the probability of landing on a number greater than 5, which is only one number, 6. So, P(number > 5) = 1/6.

To find the probability of both events happening in sequence, we multiply the two probabilities: P(odd number) * P(number > 5) = (1/2) * (1/6) = 1/12. Therefore, the probability of rolling an odd number and then a number greater than 5 is 1/12.

Answer:

A) Ni Hua visited 12 islands and 7 peninsulas.

Step-by-step explanation:

If all visits had been to islands, Hua would have skydived 19·2 = 38 times. He actually skydived 45-38 = 7 times more than that. Each peninsula that replaces an island adds 1 skydive to his total, so he must have visited 7 peninsulas.

Hua visited 7 peninsulas and 12 islands.

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

The answer is c

If it was around 25.2 at 12

6 hour later it would have been 12 1/2 more or more

And 25+12=37 and u round it off to 38

And therefore your answer is 38

Answer:

8_/3

Step-by-step explanation:

tan60=arc/8

arc=8×_/3=8_/3 ans

Answer:

Its 8. I just did this lesson and got it right.

Step-by-step explanation: