Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The length of each side of a square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of each side of the original square was inches.

Answers

Answer 1

Answer:

15 inches

Step-by-step explanation:

Suppose length of original square is L inches.

Now, to form a new square the length increases by 2.5 inches

So, new length=L+2.5 inches

Given that, perimeter of new square =70 inches.

Formula:-

        Perimeter=4*length of square

Therefore 70=4*(L+2.5)

                   70 =4 L+10

                   4 L=60

                  L=15 inches

Answer 2

Answer:

The original length of each side was 15 inches.

Step-by-step explanation:

In this case we have to have clear that the perimeter of square consists in the addition of the length of each one of its four sides, this is:

[tex]perimeter=a+a+a+a[/tex]

The new square has a perimeter of 70, and we have to find the original length of each side, the equation will be:

[tex]70=a+2.5+a+2.5+a+2.5+a+2.5[/tex]

[tex]70=4a+10[/tex]

We have to clear a:

[tex]a=\frac{70-10}{4} \\a=\frac{60}{4} \\a=15[/tex]

The original length of each side was 15 inches.


Related Questions

The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature and the number of hours.

Which statement best interprets information provided by the graph?
A. The temperature in the city increased for some time and decreased for some time.
B. The temperature remained constant for a while.
C. The temperature in the city increased throughout the period.
D. The temperature in the city increased at a constant rate for the entire time.

Answers

Answer:

A

Step-by-step explanation:

From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

Find the radius of the circle whose equation is x² + y² = 4.

Answers

Answer:

Radius : 2

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

The radius of the circle with the equation x² + y² = 4 is 2 units, calculated by taking the square root of the right-hand side of the equation.

The question requires us to find the radius of a circle given its equation. The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. The given equation, x² + y² = 4, indicates that the circle is centered at the origin (0,0) and the radius is the square root of 4.

To calculate the radius, we take the square root of 4:
r = √4 = 2.

Therefore, the radius of the circle is 2 units.

PLEASE HELP I'll GIVE BRAINLIEST:

Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?

Answers

Answer: [tex]40cm^2[/tex]

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

[tex]A=\frac{b*h}{2}[/tex]

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]

Then:

[tex]b=8cm[/tex]

The height ot this triangle is the height of the cone:

[tex]h=10cm[/tex]

So, by substituting into the formula you get the area of the cross-section in square centimeters:

[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]

Quincy feeds his dog 2.75 cups food each day each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?

Answers

2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2

Answer:

C) 3 x 1

Step-by-step explanation:

First, you round 2.75 to 3 because of the rounding rule- "If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up." Then you round 1.25 to 1 because of the rounding rule. Then you get 3 x 1!

Hope this helps-

maggbaron765

Please answer and work it out and round to the nearest tenth. Thank you!

Answers

The length of UV is 6 in because it is parallel to WX.

Find the length of TV:

[tex]TV^{2} =\sqrt{TU^{2} +TV^{2}}[/tex]

[tex]TV^{2} =\sqrt{12^{2} +6^{2}}[/tex]

[tex]TV^{2} =\sqrt{144+36}[/tex]

[tex]TV^{2} =\sqrt{180}[/tex]

[tex]TV =6\sqrt{5} = 13.41640786[/tex]

The length of VX is 9 in because it is parallel to UW.

[tex]TX^{2} =\sqrt{TV^{2} +VX^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +9^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +81}[/tex]

[tex]TX^{2} =\sqrt{261}[/tex]

[tex]TX =16.15549442[/tex]

TX = 16.2 inches

Answer:

The value of TX is 15 in

Step-by-step explanation:

According to Pythagoren theorem

Hyp² = Base² + Perp²

Putting the values

Hyp² = 12² + 9²

Hyp²  = 144 + 81

Hyp² = 225

taking square root on both sides

Hyp = 15

solve the equation j/3 = 4.5​ J=

Answers

The solution to the equation j/3 = 4.5 is j = 13.5

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

j/3 = 4.5

Multiply both sides of the equation by 3

So, we have

3 * j/3 = 4.5 * 3

Evaluate the products

This gives

j = 13.5

Hence, the solution to the equation is 13.5

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You are about to sue your contractor who promised to install a water tank that holds 500 gallons Of Water. You Know That 500 Gallons is The Capacity Of A Tank That holds 67 cubic feet. the Cylindrical Tank Has A Radius Of 3 Feet And A Height Of 2 Ft 4 Inch. Does The Evidence Indicate You Can Win The Case Against The Contractor If It Goes To Court. SHOW YOUR WORK

Answers

πr^2h => π x 3^2 x 2.033 = 57.48 cubic ft

67 cubic ft Tank hold 500 Gallons

57.48 cubic ft Tank will hold less than 500 Gallons

Yes you can win

The volume of a cylinder,

πr^2h => π x 3^2 x 2.033 = 57.48 cubic ft

67 cubic feet Tank hold 500 Gallons

57.48 cubic feet Tank will hold less than 500 Gallons

Yes you can win.

what is the volume of a cylinder?

The volume of a cylinder in cubic feet is equal to π times the radius in feet squared times the height in feet. π is roughly equal to 3.1415. If you know the diameter of the cylinder, you can find the radius by dividing the diameter by two, or just use our circle diameter calculator.

Why is the volume of a cylinder?

To calculate the volume of a cylinder, you need the radius or diameter of the circular base or top and a cylinder's height. The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.

Cubic feet by multiplying three linear measurements—length, width, and height—in feet.π r2 h

The volume of a cylinder is given by the formula – π r2 h, where r is the radius of the cylinder and h is the height.

Learn more about volume of a cylinder, refer

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what is the answer?​

Answers

[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]

brando had 15 pairs of kicks,then went nuts and bought a bunch more onlie.After they all showed up.he realized he had 84 pairs of shoes,and was trying to figure out how many pairs of shoes he bought online​

Answers

Brando could subtract the 84 pairs of shoes by 15 to see how much pairs of shoes he bought online

Evaluate −9 − (−4).

5
−5
13
−13

Answers

-5, because subtracting a negative is the same as adding a positive, which will bring -9 up to -5

Answer:

[tex]-5[/tex]

Step-by-step explanation:

We want to evaluate  -9-(-4).

This is the same as [tex]-9+4[/tex].

We can again rewrite this as [tex]4-9[/tex]

Since we are subtracting a larger number from a smaller number, the result will be negative.

Therefore our expression evaluates to [tex]-5[/tex]

The second option is correct.

What would the budget be if he gets $44,000 annually. These are his expenses per month: $1,200 for rent. $600 for food. $350 for transportation. $150 for utilities. $300 for insurance. $400 for taxes.​ Im just confused on how to find out what the budget is so I can find the percent.

Answers

Answer:

Step-by-step explanation:

$1200+$600+$350+$150+$300+$400=$3000

=12*$3000=$36000

rent= 1200*100/3000=40%

food=600*100/3000=20%

trans=350*100/3000=11.7%

utilities=150*100/3000=5%

insurance=300*100/3000=10

taxes=400*100/3000=13.3%

What is the surface area of the sphere?

Answers

Answer:

1024πcm²

Step-by-step explanation:

The surface area of a sphere is found using the following formula:n A=4πr². r is the radius while A is the surface area.

in the sphere the radius is 16 cm thus:

A=4×π×16²

=1024π cm²

Answer:

The correct answer is third option 1024π

Step-by-step explanation:

Formula:-

Surface area of sphere = 4πr²

Where r is the radius of sphere

To find the surface area of sphere

Here r = 16

Surface area =  4πr²

  = 4 * π *16²

  = 4 * π * 16 * 16 = 1024π

Therefore surface area of sphere = 1024π

The correct answer is third option 1024π

on Monday the school cafeteria made a collection of $99.55 from paid lunch. The next day 40 students ate at the cafeteria. if the collection of lunch money on Monday was $19.95 more how much did the school lunch cost?​

Answers

just about 49. cents a person

Answer:

99.55 – 40x = 19.95 ; $1.99

Step-by-step explanation:

Answer: $1.99

I NEED HELP AHHH-HHHHHHHHH HELP ME ASAP

Answers

Answer:

1/5, 1/3, 4/6

Step-by-step explanation:

First, find all the common denominators for these numbers. In this case, it's 30.

1/5 = 10/30

4/6 = 20/30

1/5 = 6/30

Now, you can see which ones are greatest and least.

1. 1/5 (least)

2. 1/3 (middle)

3. 4/6  (greatest)

Which equation can be used to solve the following system? x+y=11
4x^2-3y^2=8

Answers

Rearrange x + y = 11.

x = 11 - y

Substitute into other equation.

4(11 - y)^2 = 3y^2 = 8

Answer:

4(11 - y)^2 - 3y^2 = 8 (#2)

What is the result of subtracting in the division problem shown below?

Answers

Answer:

The answer is 9x² - 6x - 1

Step-by-step explanation:

∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =

    0 + 9x² - 6x - 1 = 9x² - 6x - 1

Answer:

The result is : [tex]9x^{2} -6x-1[/tex]

Step-by-step explanation:

The given terms to be subtracted are ;

[tex]6x^{3}+x^{2} -10x-1[/tex] and

[tex]6x^{3}-8x^{2} -4x[/tex]

So, subtracting each term to be more clear we get:

[tex]6x^{3}-6x^{3}=0[/tex]

[tex]x^{2} -(-8x^{2} )=x^{2} +8x^{2} =9x^{2}[/tex]

[tex]-10x-(-4x)=-10x+4x=-6x[/tex]

[tex]-1+0=-1[/tex]

So, the answer will be :

[tex]9x^{2} -6x-1[/tex]

How do I solve this complicated problem?

Answers

Interesting problem! In order to solve this one, we’ll know some information about the measure of these triangles’ angles. First, remember that triangles have the very unique property that *equal angles sweep out equal lengths*. The other side of that is that if two sides of a triangle are congruent, we know the angles opposite them are congruent, too.

Since all the sides of triangle ABE are congruent, all its angles are congruent, and since the angles of a triangle add to 180, this means that each of the angles in ABE must be 60 degrees (since 60 + 60 + 60 = 180).

The other triangle of notice in the problem is triangle ABC. Notice that, since it’s formed from a square, it’s a *right* triangle. This means that one of its angles must be 90. Sharing two sides with the square ABCD also means that two of the triangle’s sides are congruent, which *also* means the two non-right angles must be congruent. This forces them to be 45 degrees (since 90 + 45 + 45 = 180).

Now, take a look at angle EAC. That small angle is what we end up with if we take angle EAB (an angle of triangle ABE) and subtract angle CAB (part of triangle ABC) from it. EAB measures 60 degrees, and CAB measures 45, so angle EAB must be 60 - 45 = 15 degrees.

At this point, we’re almost done. I want to bring your attention to the point where line segments EB and AC intersect; let’s call that point F. If we want to find the measure of x, we can look at the angle right across from it, angle AFE. Notice that this angle is one of three in the triangle AFE. We’ve already found the other two, actually: angle AEF is 60 degrees, and angle EAF is 15, so to find AFE, we can simply subtract those two from 180 to find a measure of

180 - 60 - 15 = 180 - 75 = 105 degrees.

And since AFE and x are vertical angles, we know x must also be 105 degrees.

Find the area of a regular hexagon with a radius of 8 and an apothem of 4√3.
Round your answer to the nearest tenth.

Answers

Answer:

The area of the regular hexagon is [tex]166.3\ units^{2}[/tex]

Step-by-step explanation:

we know that

The regular hexagon can be divided into 6 equilateral triangles

so In this problem

The radius is equal to length side of the polygon

The area of the regular hexagon is equal to the area of six equilateral triangle

[tex]A=6[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=r=8\ units[/tex] ---> the base of each triangle is equal to the radius

[tex]h=4\sqrt{3}\ units[/tex] ---> the height of each triangle is equal to the apothem

substitute

[tex]A=6[\frac{1}{2}(8)(4\sqrt{3})]=96\sqrt{3}\ units^{2}[/tex]

[tex]96\sqrt{3}=166.3\ units^{2}[/tex]

Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?

Answers

Answer:

Step-by-step explanation:

The calculator says that the answer is 7.36 * 10^-3.

This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.

Coefficient: 7.36

Exponent: - 3

Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3

Answer:

7.56932 * 10^-3

The coefficient is 7.35932

The exponent is -3

Step-by-step explanation:

When we multiply numbers in scientific notation, we take the numbers out front and multiply

1.466*5.02 =7.56932

Then we add the exponents on the powers of 10

10^(-8+5) = 10^(-3)

The result is 7.56932 * 10^-3

Using a calculator, we get 0.00735932, which is not in scientific notation.  Your question indicates that you want the result in scientific notation

.00735932 changed to scientific notation

Move the decimal until a nonzero digit is to the left of the decimal

7.35932

We moved it 3 places to the left, that means our exponent is -3

7.35932*10^-3

What is the total surface area of the rectangular pyramid below?

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The total surface area of rectangular pyramid will be the area of all four faces and area of base.

The faces are triangular, so area will be = [tex]\frac{1}{2}*base*height[/tex]

Area of face = [tex]\frac{1}{2}*16*14=112[/tex]

Another face area = [tex]\frac{1}{2}*12*15=90[/tex]

Each face has its similar another face. So total area of faces will be = [tex]112+112+90+90=404[/tex]

Area of base = [tex]12*16=192[/tex]

So total surface area = [tex]404+192=596[/tex] square feet

Hence the total surface area is 596 square feet.   :   Answer

Hope it will help :)

Answer:596 square feet

Step-by-step explanation:

please help
there is a attachment to this i think.

Answers

Answer:

squrt6(84)

Step-by-step explanation:

By the law:

squrtn(a^m) = a^(m/n)

Best regards

A computer can produce a list of random numbers.
A. True B. False

Answers

The given statement "A computer can produce a list of random numbers" is true.

What is computer?

"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."

What are random numbers?

"Random numbers are numbers that occur in a sequence such that two conditions are met:

The values are uniformly distributed over a defined interval or set, and It is impossible to predict future values based on past or present ones."

"Random numbers are important in statistical analysis and probability theory."

"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."

Hence, the correct option is A.

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help me asap i need to do tangent ratio !!!

Answers

QUESTION 1

The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

From ΔYZX,

[tex]\tan(X)=\frac{YZ}{XZ}[/tex]

[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]

QUESTION 2

We use the tangent ratio to obtain;

[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]

[tex]\tan(V)=\frac{WX}{VW}[/tex]

QUESTION 3

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

We take the inverse tangent of both sides to obtain;

[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]

[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]

QUESTION 4

From ΔVWX,

[tex]\tan(V)=\frac{WX}{VW}[/tex]

Taking the inverse tangent of both sides, we obtain;

[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]

[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]

QUESTION 5.

We know that

[tex]\tan(V)=\frac{WX}{VW}[/tex]

and

[tex]\tan(X)=\frac{VW}{WX}[/tex]

[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]

QUESTION 6.

[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]

[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]

This implies that;

[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]

QUESTION 7

[tex]\tan 23\degree =0.4244[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 23\degree =0.42[/tex]

QUESTION 8

[tex]\tan 43\degree =0.9325[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 43\degree =0.92[/tex]

QUESTION 9

[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]

We round to the nearest 0.01 to obtain.

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

QUESTION 10

[tex]\tan ^{-1} 1=45.00\degree[/tex]

QUESTION 11

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

This implies that;

[tex]\tan 7.97\degree=0.14[/tex]

QUESTION 12

[tex]\tan ^{-1} 1=45.00\degree[/tex]

This implies that;

[tex]\tan 45.00\degree=1[/tex]

Please Answer Again Lol I got One More After This And I'll Stop Asking And I'll Try Brainlist But If I can't Then I'll Still Say Thanks 10 Points

Answers

It would be C. Hope this helps!
Final answer:

The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.

Explanation:

Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.

How long should u spend on your phone

Answers

Answer:

um dunno like 2 hours a day?

Step-by-step explanation:

2x, x representing day? So 2 days = 2*2 = 4 hours?

Answer:

3 hours a day

Step-by-step explanation:

If you are on your phone to much you could have eye problems when you grow up or other problems.

3x+4y=33
2x+y=17 ➡ y=-2x+17
2x+(17-2x)=17
2x+17-2x=17
2x-2x+17=17
17=17
Is it Infinitely many solutions?​

Answers

Yes, the answer to the system is infinitely many solutions as the solution 17=17 is reflexive.

Answer:

YES

Step-by-step explanation:

3x+4y=33

2x+y=17 ➡ y=-2x+17

2x+(17-2x)=17

2x+17-2x=17

2x-2x+17=17

17=17

same number on both sides means   Infinitely many solutions

:0)

Suze wants to make 5 pies for a party. She needs 1 1/2 cup of confectioners sugar for each pie. She has two bags of confectioners sugars in her pantry. One bad has 3 1/4 cups remaining and the other bag has 6 1/8 cups remaining. How many cups of confectioners sugar Suze have left after she prepares her pies?

Answers

Answer:

1  7/8 cups leftover

Step-by-step explanation:

The total amt. of sugar Suze needs is 5(1  1/2 cups) = 15/2 cups, or 7.5 cups.

Combining the 3  1/4 and 6  1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total.  She needs only 7.5 cups of this sugar.

Thus, she has leftover the following amount:  9 3/8 - 7 4/8 cups, which

simplifies to  1  7/8 cups

Total C.Sugar

3 1/4+6 1/8

=13/4 + 49/8

=26/8 + 49/8

=75/8 cups

Used C.Sugar

1 1/2 × 5

= 3/2 × 5

= 15/2 cups

Remaining C.Sugar

75/8 - 15/2

=75/8 - 60/8

=15/8

=1 7/8 cups

Answer

1 7/8 cups remaining

all real numbers that greater than -6 but less than 6 ​

Answers

This means that everything in between those numbers is correct

hello plz help it’s urgent

Answers

1: Expression: 4500-2000

Answer: 2500 left to go

2: Expression: 20x

Answer: 40 centimeters

3: Expression: You can easily write and evaluate an expression based off of the terms/values used in the problem. If Stacy runs 5 miles and wants a goal of 10 miles, the expression would be 10-5 or 5+5. If Tom wants to give each of his 4 friends 2 cookies, the expression would be 4 • 2 (multiplication). If Jonny wants to give his sister half of his 50 cards, the expression would be 50 divided by 2

Answer:

d. expression: 4500 - 2000 = , amount left to go : 2500

e. expression : 20×2= , amount rattlesnake grows in 2 years: 40

Step-by-step explanation:

The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mile.

Answers

Kash to Gary is 8 miles

Gary to Joan is 5 miles

Use the Pythagorean theorem to calculate the distance from Joan to Kash:

x = √8^2 + 5^2

x = √64+25

x = √89

x = 9.4

Total distance = 5 + 8 + 9.4 = 22.4 miles.

Rounded to nearest mile = 22 miles.

Answer:22 miles

Step-by-step explanation:

Got it right on a quiz

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