a rectangle is drawn so the width is 28 inches longer than the height. If the rectangle's diagonal measurement is 52 inches find the height

Answers

Answer 1

Answer:

A) W = 28 + H

B) W * H = 52

A) Height = W -28

B) W * (W -28) = 52

B) W^2 -28W = 52

W^2 - 28W - 52 = 0

Width = 29.748

Height = 1.748

Step-by-step explanation:


Related Questions

If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?

Answers

Answer:

The probability that exactly 2 don't grow is 0.075 or 7.5%

Step-by-step explanation:

Binomial Distribution

Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where  

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.

The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.

Apply the formula:

[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]

[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]

[tex]\displaystyle P_{8} = 0.075[/tex]

The probability that exactly 2 don't grow is 0.075 or 7.5%

1.) 15 — 2y = Зу Help!!!​

Answers

Answer:

y=3 the answer is 9 to the equation

What is the factored form of the polynomal? x2-12x+27

o (x+4)(x+3)
o (x-4)(x+3)
o (x+9)(x+3)
o (x-9)(x-3) ​

Answers

Answer:

The answer is [tex](x-9) (x-3)[/tex].

Step-by-step explanation:

This is because when you multiply them together you get

[tex]x^{2}[/tex], [tex]-9x[/tex], [tex]-3x[/tex], and [tex]27[/tex]

When you add the like terms you get,

[tex]x^{2} - 12x +27[/tex]

What is StartFraction 5 Over 8 EndFraction divided by One-fourth?

Answers

Answer:

[tex]\frac{5}{2}[/tex] improper fraction or [tex]2\frac{1}{2}[/tex] mixed number

Step-by-step explanation:

To find the answer you would need to do [tex]\frac{5}{8}[/tex] divided by [tex]\frac{1}{4}[/tex]

Hope this helps!

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

5/8 and 1/4

Then the division of the numbers 5/8 and 1/4 will be given by putting a division sign between them. Then we have

⇒ (5/8) ÷ (1/4)

⇒ (5/8) x (4)

⇒ 5/2

⇒ 2.5

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

solve 86.5=2l+2(2l-40.75)

Answers

Answer:

[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]

l=28

The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?

Answers

Answer:

The answer is 4.47 g/cm³

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 14.3 g

volume = 3.2 cm³

We have

[tex]density = \frac{14.3}{3.2} \\ = 4.46875[/tex]

We have the final answer as

4.47 g/cm³

Hope this helps you

Answer:

The answer is 4.47 g/cm³

Step-by-step explanation:

Finish this for points fractions to decimals

Answers

1:  0.7142857143

2:  0.04761904762

3:  0.2142857143

4:  0.8666666667

5:  0.2727272727

6: 0.3888888889

7:  0.3333333333

8:  0.4444444444

9:  0.3333333333

10:  0.3571428571

11:    0.36

12:  0.8

13:  0.2307692308

14:  0.875

15:  0.8

16:  0.04761904762

The mass of a substance is 8×10⁹ micrograms. If one microgram is equal to 0.000001 grams, what is the substances mass in grams written in scientific notation?

Answers

Answer:

The mass of the substance is  [tex]\mathit{8\cdot 10^{3}}[/tex] grams.

Step-by-step explanation:

Scientific Notation

The mass of a substance is [tex]8\cdot 10^9[/tex] micrograms and one microgram is 0.000001 grams.

This last unit needs to be expressed in scientific notation:

[tex]0.000001 grams = 1\cdot 10^{-6}[/tex]

The mass of the substance in grams is calculated by:

[tex]8\cdot 10^9 * 1\cdot 10^{-6}[/tex]

Multiply the magnitudes and add the exponents:

[tex]8\cdot 10^9 * 1\cdot 10^{-6}=8\cdot 10^{-6+9}=8\cdot 10^{3}[/tex]

The mass of the substance is [tex]\mathbf{8\cdot 10^{3}}[/tex] grams.

Please help it's due today!!!!!!

Answers

Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi

Answers

Answer:

Figure of the function is included below as attachment.

Step-by-step explanation:

Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:

[tex]\cos x = 0[/tex]

In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Maxima

Maxima are those points of the function such that [tex]y = 1[/tex]. That is:

[tex]\cos x = 1[/tex]

In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Minima

Minima are those points of the function such that [tex]y = -1[/tex]. That is:

[tex]\cos x = -1[/tex]

In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.

Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet long and 16 feet wide. The medium pool is 80 feet long and 18 feet wide. The large pool is 88 by 20. If the new superduper Coffeetable pool is 96 feet long, how wide will it be?
A 28 feet wide
b 22 feet wide
c 24 feet wide
d 26 feet wide

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 22 feet.

Step-by-step explanation:

The width is adding 2 feet for every time the length is adding 8 feet. So, 88+8=96, and 20+2=22.

Please Help! FAST! Multiple Choice! Brainlest!

Answers

Answer:

B is the answer

Step-by-step explanation:

the rulers at store a cost much

The measures of two vertical angles are 29° and (2x + 3)º. Find the value of x .

Answers

Answer:

Vertical Angles!

Step-by-step explanation:

Very simple!

Vertical angles are a pair of angles that are equal in degree measure.

Essentially, they are equal to each other. Nothing more to it.

This means that [tex]29=2x+3[/tex]!

I presume you have done math before, so this solves to be: [tex]x=13[/tex]

(I don't have a degree sign, but it should be there in your answer.)

Hope this helps!

P.S. How's life?

Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .

Answers

Answer:

[tex]x\geq-1.\overline{756}[/tex]

Step-by-step explanation:

[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]

Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?

Question 2 options:

{1, 2, 4, 8, 16}


{16, 32, 48, 64, 80}


{16, 32, 42, 64, 84}


{4, 8, 12, 16, 20, 24, 28}

Answers

Answer:

2nd answer. (16,32,48,64,80)

Step-by-step explanation:

Rectangle a measures 9 inches by 3 inches. Rectangle b is a scaled copy of rectangle a .select a set of measurement pairs that could be the dimensions of of rectangle b

Answers

Answer:

Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.

Step-by-step explanation:

Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.

As we are given Dimensions of rectangle A =  9 inches by 3 inches

Then for any scaling factor x the dimensions of rectangle B will be:

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimension of rectangle B = x * (9 inches by 3 inches)

Dimensions of rectangle B = 9x inches by 3x inches

For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:

For scaling factor (x) = 3;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 3 (9 inches by 3 inches)

Dimensions of rectangle B = 27 inches by 9 inches

On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 0.75 (9 inches by 3 inches)

Dimensions of rectangle B = 6.75 inches by 2.25 inches

7. In January, a small business had a profit of $6. In
February, the company lost $9. What was the
company's total profit or loss for January and February?

Answers

Answer:

The company lost 3 dollars

9-6= (-3)

Step-by-step explanation:

5. The list of ordered pairs below represents a function: (12, 6), (3, 1), (2,-2), (5, 10), (-8,-4) Which of the following could be the missing ordered poin? 8. A. (21) B. (12,7 C.-8. B D.-3.-4 will mark brainiest answer us not b​

Answers

Answer:

21

Step-by-step explanation:

just took the test

Answer

I believe D or C

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

What’s the answer to this question HELP ME !!

Answers

Answer:

x=6

Step-by-step explanation:

The picture is a little unclear but I hope this is true...

To find the perimeter you need to add the sides of the triangles and the question says that the perimeters of the triangles are equal. So,...

(2x+4)+(2x)+(2x+3)=(3x+1)+(2x)+(2x)

2x+4+2x+2x+3=3x+1+2x+2x

4+2x+3=3x+1

7+2x=3x+1

2x-3x=1-7

-x=-6

x=6

Andrew has 30 rocks. He has 10 more rocks then Amanda. He has 15 fewer rocks then Rob. How many rocks does each person have?

Answers

Answer:

Amanda has 20, Rob has 45

Step-by-step explanation:

Amanda has ten fewer rocks than Andrew, 30-10=20

Rob has 15 more rocks than Andrew, 30+15=45

What is the solution to the inequality?​

Answers

Answer:

B.

Step-by-step explanation:

-6<x<6

Please help me answer this <3

Answers

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

30 = x

tan(43)-tan(13)/1+tan(43)tan(13)

Answers

Answer:

tan(13)-tan(2)

Step-by-step explanation:

= Monthsarry namin ng bebe ko

k(x) = 6x – 12; k(x) = 18

Answers

Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

3. What is the y-intercept of the line
5x – 3y = 15? Write your answer as an ordered
pair.

Answers

I hope the answer is (10/-3,5/-3) according to my knowledge

Answer:

(0, -5)

Step-by-step explanation:

For Y-intercept: put X = 0

5x-3y=15

-3y=15-5x

3y=-15+5x

y=-5+5/3x

y=5/3x-5

A test has been developed to detect a particular type of arthritis in individuals over 50 years old. From a national survey it is known that approximately 10% of the individuals in this age group suffer from this form of arthritis. The proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease. What is the probability that an individual has this disease given that the test indicates its presence

Answers

Answer:

The probability that an individual has this disease given that the test indicates its presence is 0.1

Step-by-step explanation:

Let A be the event which indicates Having disease

Let B be the event in which test indicates that disease presence

Now we are given that 10% of the individuals in this age group suffer from this form of arthritis

So, P(A)=0.1

We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.

P(B|A)=0.85

Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease

So,P(B|A')=0.04

We are supposed to find  the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)

So we will use Bayes theorem

[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]

[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]

Hence the probability that an individual has this disease given that the test indicates its presence is 0.1

Multiply using cancellation:

2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!

Answers

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?

Answers

Answer:

130 balloons

Step-by-step explanation:

Use the labled point to write a point slope form for the line

Answers

Answer:

The point-slope form of the line is y - 3 = -2(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

(x1, y1) is a point on the linem is the slope of the line

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line.

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]

m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

   equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

The point-slope form of the line is y - 3 = -2(x + 2)

Complete the table for this equation

Answers

Answer:

x=2

y= -4/3

y=2/3

x=-4

Step-by-step explanation:

4x-6(0)=8

4x-0=8

4x=8

x=2

4(0)-6y=8

0-6y=8

-6y=8

y=-4/3

4(3)-6y=8

12-6y=8

-6y=-4

y=2/3

4x-6(-4)=8

4x+24=8

4x=-16

x=-4

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