what is the length of the diagonal of the rectangle?
A) 29.75
B) 10.625
C) 126.4375
D) 21.25

With sides of 12.75 and 17 on the bottom.

Answers

Answer 1

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem since we know the legs

a^2+b^2 = c^2

12.75 ^2 + 17^2 = c^2

162.5625+289= c^2

451.5625 = c^2

Take the square root of each side

sqrt(451.5625) =sqrt( c^2)

21.25 = c

Answer 2

Answer: the answer will be 21.25

Step-by-step explanation:


Related Questions

find the volume of the fish tank if the base is a regular octagon with side length 0.9 units and the height of the prism is 2 units

Answers

Answer:

9.2

Step-by-step explanation:

Use mental math to calculate the following.

Answers

e). 60

f). [tex]\frac{4}{9}[/tex]

Will mark as brainliest if correct

Answers

Answer:

1.2

Step-by-step explanation:

5*1.2=6

Answer: .9

Step-by-step explanation:

Solve the inequality.
5c + 3 ≤ −2

Answers

Answer:

c is greater than or equal to -1.

Step-by-step explanation:

Subtract 3 from both sides, divide by 5.

I have attached the work to your problem below.

I hope this helps.

Plz help me out, I only have a minute to submit this..
Pilar built a tower by stacking identical layers on top of each other. If her tower used a total of 312 blocks and if the bottom layer has 13 blocks, how tall is her tower? Explain how you know.

Answers

Answer:

The height of the tower = 24 units.

Explanation:

In the question above, we are given the following variables.

The total number of blocks used = 312 blocks

The bottom layer( base of the tower) = 13 blocks

We are to find how tall the tower is = height of the tower = unknown.

The total number of blocks used = Volume of the tower = 312 cubic units(blocks)

Area of the base = number of the blocks used in the bottoms layer = 13 square units( block).

Because blocks are used, we assume that this is a Rectangular based prism

The Volume of a Rectangular based prism = Area of the base × h

312 = 13 × h

h = 312 cubic units ÷ 13 square units.

h = 24 units.

There fore, the height of the tower = 24 units

Which always yields a cross section that is the same shape and size as the base of the figure

Answers

Answer:

a triangular pyramid when sliced parallel to its base

Step-by-step explanation:

Stanley surveyed his classmates to make a prediction about kids his age.
Hours
0
0.5
1.5
2
2.5
Number of Students
1
2
5
7
2
1
Use Step 1 of the GAISE model. Which could be a question Stanley asked?
A How long have you lived in this town?
B How long have you attended this school?
C How long do you spend on homework each day?
D How long have you spent learning a musical instrument?​

Answers

Answer:

Step-by-step explanation:stanley chuppa mi colla

Find the diameter of a circle with an area of 256π square meters.

Answers

Answer:

d = 32 m

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Area of a Circle Formula: A = πr²

r is radius

Radius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]

d is diameter

Step-by-step explanation:

Step 1: Define

Identify variables

A = 256π m²

Step 2: Derive

Rewrite formula

[Area of a Circle Formula] Substitute in r [Radius Formula]:                          [tex]\displaystyle A = \pi(\frac{d}{2})^2[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = \pi(\frac{d^2}{4})[/tex]Multiply:                                                                                                             [tex]\displaystyle A = \frac{\pi d^2}{4}[/tex]

Step 3: Solve for d

Substitute in A [Modified Area of a Circle Formula]:                                      [tex]\displaystyle 256 \pi \ m^2 = \frac{\pi d^2}{4}[/tex][Multiplication Property of Equality] Multiply 4 on both sides:                      [tex]\displaystyle 1024 \pi \ m^2 = \pi d^2[/tex][Division Property of Equality] Divide π on both sides:                                  [tex]\displaystyle 1024 \ m^2 = d^2[/tex][Equality Property] Square root both sides:                                                    [tex]\displaystyle 32 \ m = d[/tex]Rewrite:                                                                                                             [tex]\displaystyle d = 32 \ m[/tex]

During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How many baskets did whitney make

Answers

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

A sphere has a radius of 5 inches. What is its volume? Sphere V = 4 3 πr3 1. Substitute the radius into the formula: V = 4 3 π(53) 2. Evaluate the power: V = 4 3 π(125) 3. Simplify: V = in.3

Answers

Answer:

The volume of sphere is 524 in³ .

Step-by-step explanation:

By substituing the radius into the formula :

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Let r = 5,

[tex]v = \frac{4}{3} \times \pi \times {5}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times 125[/tex]

[tex]v = \frac{500}{3} \pi[/tex]

[tex]v = 524 \: {inches}^{3} (3s.f)[/tex]

Answer:

The first person who answered this is wrong. It's 500/3 in.3

Step-by-step explanation

Did it on Edge.

Question 11 - (3 marks available )
I think of a number, double it, and add eleven. I get twenty five.
a) Using the statement above, form an equation.
Use the letter 'X' for the unknown number.
b) Solve the equation.

Answers

Answer:

the answer is 7

Step-by-step explanation:

7 plus 7 add 11 equals twenty five

Find the missing measurement. Photo attached

Answers

Answer:

Height Length: ( About ) 3.3 yards; Option B

Step-by-step explanation:

~ We are given the Area of this triangle, so let us apply the area of a triangle formula 1/2 * base * height ~

The base is known the be 4.1 yards, the Area 6.8 yards^2, so let us substitute these values into the formula for a triangle as to solve for height. At the same time let us declare x ⇒ height of the triangle:

6.8 = 1/2 * 4.1 * x,

6.8 = 2.05 * x,

x = 6.8/2.05,

Height Length: ( About ) 3.3 yards

Pablo makes a spinner to model the probability of simultaneously flipping a "heads" on a nickel, a "heads" on a dime, and a "heads" on a quarter. He divides his spinner wheel into sections for each possible combination of coin flips, and he colors green the section representing simultaneously flipping three "heads." If he decides to spin the arrow on the spinner 24 times, how many times can he predict the arrow will land on the green section?
times

Answers

Using proportions, it is found that he predicts that the arrow will land on the green section 24 times.

What is a proportion?

A proportion is a fraction of a total amount.

Considering that each trial has a 1/2 probability of resulting in heads, the fraction correponding to the probability of simultaneously flipping three "heads" is given by:

[tex]p = \left(\frac{1}{2}\right)^3 = \frac{1}{8}[/tex]

Considering that he does this 24 times, we apply the proportion, hence:

[tex]\frac{1}{8} \times 24 = 3[/tex].

He predicts that the arrow will land on the green section 24 times.

More can be learned about proportions at https://brainly.com/question/24372153

the midpoint of chord AB is ( , ), and the slope of chord AB is BLANK

Answers

Answer:

midpoint of chord ab is (-2, 12) slope of chord ab is 1/2

Step-by-step explanation:

the public library surveyed 220 people about their favorite movie if 25% of people chose documentaries how many people chose documentaries

Answers

Answer:

55

Step-by-step explanation:

Take the number of people surveyed and multiply by the percent that liked documentaries

220 *25%

Change to decimal form

220 *.25

55

Answer:

The answer is 55. .

Step-by-step explanation:

First, you take 25% and turn it into a decimal (0.25). Then, multiply 220 by 0.25 (55). Since it’s only asking for the documentaries, the answer is just 55

Find the median the first and third quartiles the interquartile range and my outliers for set of data 81,69,90,79,59,125,95,116,183,97,92,50,122,55,92

Answers

Answer:

Step-by-step explanation:

Find the median of the first and third quartiles

81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 92

50, 55, 59, 69, 79, 81, 90,   92,     92, 95, 97, 116, 122, 125, 183.

The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69

The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.

The interquartile range is the difference between the median of both the first and third quartile:  which is 116 - 69 = 47.

There are no outliers in this set of data

When a child was born, her grandfather decides to put $500 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options: Option A: An account that grows by 10.5% each year. Option B: An account that grows by $20 each year. Which option will result in a better 18th birthday gift? Explain your reasoning.

Answers

Answer:Answer B

Step-by-step explanation:

You get more money that way.

what is -0.8- (-1.6)?

Answers

Answer:

0.8

Step-by-step explanation:

Solution:

0.8

Step by step explanation:

1) (0- 8/10) - (0-8/5)

2) Simplfy. 4/5

3) (0-4/5) - (-8/5)

4) (-4) - (-8)/5 = 4/5

Final result: 4/5= 0.8000

What digit is in the ten thousand place 7,612,045

Answers

Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

Answer this easy question.

Answers

Answer:

your camera is too close, i don't understand

Step-by-step explanation:

Answer:

What is the question?

Create an equation with one solution of x = −7.

10x − (x − 2) = 2x − (_+ x)
Full question is on attached image. All help is appreciated :)

Answers

Answer:

10x − (x − 2) = 2x − (40 + x).

The missing number is 40.

Step-by-step explanation:

Let the missing number be a, Then:

10x - (x - 2) = 2x - (a + x)

10x - x + 2 = 2x - a + x

9x - 2x - x = -a - 2

6x = -a - 2

When x = -7:

6(-7) = - a - 2

-42 + 2 = -a

-40 = -a

a = 40.

So the equation is

10x − (x − 2) = 2x − (40 + x).

You and a friend are playing a game of tossing two coins. If both heads or both are tails, you win. Otherwise, your friend wins. The table shows the possible outcomes. Is this a fair game?

Answers

Answer:

yes

Step-by-step explanation:

All possible outcomes when flipping two coins are HH, HT, TH, and TT, where H is heads and T is tails. Of these 4 outcomes, 2 make you win and 2 make your friend win. Because you and your friend are equally likely to win the game, it is a far game. Hope this helps!

Answer:

yes it is a fair game

Step-by-step explanation:

..........,,,...............

$3,000 is invested in an account that earns 3% annually interest, compounded monthly.
What is the value of the account after 10 years ?

Answers

Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.


What is the amount of money accrued after 10 years?

The compound interest formula is expressed mathematically as;

A = P(1 + r/n)^(n*t)

Where A is amount accrued, P is principal, r is interest rate, n is number of times interest applied per time period and t is time.

Given the data in the question;

Principal P = $3,000Annual interest rate r = 3% = 3/100 = 0.03Compounded monthly n = 12Time t = 10 years

Plug the given values into the formula above and solve for A.

A = P(1 + r/n)^(n*t)

A = 3000(1 + 0.03/12)^(12 × 10)

A = 3000(1 + 0.0025 )¹²⁰

A = 3000(1.0025 )¹²⁰

A = 3000( 1.34935354 )

A = $4,048.06

Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.

Learn more about compound interest here: brainly.com/question/27128740

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All of the following have the same solution except _____.

50 = 5m
b + 2 = 8
x - 6 = 4
= 2

Answers

Answer:

Your answer is b+2=8. Good day.

Step-by-step explanation:

Answer:

I believe b+2=8

Step-by-step explanation:

m=10

b=6

x=10

The product of two irrational numbers is rational.

Answers

Answer:

It can be both rational and irrational.

Step-by-step explanation:

A rectangle has a height of 3 and a width of 2x2 + 3x – 5.

Answers

Answer:

Area = 6x^2 + 9x - 15.

Step-by-step explanation:

Its area = height * width

= 3 *  (2x2 + 3x – 5)

=  6x^2 + 9x - 15.

f(x) = 2x^2 – 5x; find f(3)​

Answers

Answer:

f(3) = 3

Step-by-step explanation:

f(x) = 2x^2 – 5x

Let x = 3

f(3) = 2(3)^2 - 5(3)

      = 2*9 -15

      = 18-15

      =3

Answer:

f(3)=3

Step-by-step explanation:

This question asks us to find f(3). We want to find what f(x), or y is, when x is equal to 3.

f(x)=2x^2-5x

Substitute 3 in for x.

f(3)=2(3)^2-5(3)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Evaluate the exponent first. 3^2 is the same as 3*3, which is equal to 9.

f(3)=2(9)-5(3)

Multiply 2 and 9

f(3)=18-5(3)

Multiply 5 and 3

f(3)=18-15

Subtract 15 from 18

f(3)=3

Hi, can you pls find the area of this shape? please find it fasttttt

Answers

Answer:

20

Step-by-step explanation:

Area = ((7+3) x 4) ÷ 2 = 20

3 = b + 12
I need work and answer

Answers

Answer:

b= -9

Step-by-step explanation:

Plug in -9 for b.

3= -9+12

Solve.

3=3

Since both sides are equal, the answer is -9

I hope this helped you ;)

the answer is b = -9, hope this helps!!

How many real roots does the following equation have?
x4 -81 = 0

Answers

Answer:

Find roots of x4−81=0 by solving for x. x=3,−3

Step-by-step explanation:

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots x = 3 and

x = -3.

We have,

The given equation [tex]x^4[/tex] - 81 = 0 can be factored as a difference of squares:

[tex](x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0[/tex]

Further simplifying:

(x - 3)(x + 3)(x² + 9) = 0

From this factorization, the equation has two linear factors (x - 3) and

(x + 3) and one quadratic factor (x² + 9).

The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.

x = 3 and x = -3.

The quadratic factor (x² + 9) has no real roots.

This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.

Therefore,

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots,

x = 3 and x = -3.

Learn more about equations here:

https://brainly.com/question/17194269

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