1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GaryK [48]
4 years ago
12

Bob needs to make a canvas sun shade that covers half of the pool. One side of the pool is 31.22 feet and the other side is 25 f

eet. How long will the diagonal side (hypotenuse) of the shade be ?
Mathematics
1 answer:
lidiya [134]4 years ago
3 0
To find the diagonal of the pool, you need to use The Pythagorean Theorem which is a^2 + b^2 = c^2. We need to find c, so we substitute in the sides, and it doesn't matter how we substitute because we are adding positive numbers so the answer will always be the same. So, 31.22^2 + 25^2 = c^2. After we calculate this out we get c^2. To find the diagonal or c, we square root c^2 to get a final answer of 39.9961 or 40 feet
You might be interested in
In the number below, what happens to the value of the digit 3 when it is moved one place value to the left?
Elis [28]

Answer:

it increases by a factor of 10, hence option B is the answer

Step-by-step explanation:

Initial Figure = 2037

When it is moved one place to the left, it increases from tens to hundreds

Hence option B is the answer

5 0
3 years ago
Giving Brainliest! No bots or using for points or I’ll report you. This is really needed!
AlexFokin [52]

Answer:

1.) L=5 W=4 H=1. 2.)L=5 W=4 H=2. 3.)L=5 W=4 H=5

Step-by-step explanation:

you look at the sides and the front and count the cubic units

5 0
3 years ago
Read 2 more answers
A text message plan costs $2 per month plus $0.23 per text. Fine the monthly cost for x text messages
vlabodo [156]

Answer:

y= 2 + 0.23x

Step-by-step explanation:

Giving the following information:

A text message plan costs $2 per month plus $0.23 per text.

<u>First, we need to structure the total cost formula:</u>

<u></u>

y= total cost

x= number of text messages

y= 2 + 0.23x

<u>Now, we can calculate the total cost for any number of text:</u>

x= 200

y= 2 + 0.23*200

y= $48

6 0
4 years ago
Quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in
kirill115 [55]
A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)

Solving (1), (2) and (3) gives a = 9, b = -5, c = 19

Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425

Therefore, it costs $425 to produce 7 calculators.
4 0
3 years ago
Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu
Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(contains less than 10 grams of impurities)

P(x < 10)

P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)

Calculation the value from standard normal z table, we have,  

P(x < 10) =0.216= 21.6\%

b) P(contains more than 15 grams of impurities)

P(x > 15)

P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%

c) P(contains between 12 and 15 grams of impurities)

P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%

P(12 \leq x \leq 15) = 36.9%

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

5 0
4 years ago
Other questions:
  • what is the difference between the current value and repair costs of a 3 year old vehicle purchased fir $9950
    14·1 answer
  • PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER
    11·1 answer
  • Haley had 403 photos to put into a photo album.if each page holds 7 photos ,how many full pages will she have
    11·1 answer
  • (14x+8y+3)-(11x-6y+2)
    15·1 answer
  • A game room has a floor that is 120 feet by 75 feet a scale drawing of the floor on grid paper uses a scale of one unit for ever
    5·1 answer
  • What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B7%7D%20%20%3D%20n%20%2B%20%20%5Cfrac%7B5%7D%7B6%7D%20" id="Tex
    12·1 answer
  • Hello, can you answer this for me
    8·1 answer
  • What is the answer to this question
    10·1 answer
  • Determine the sum of the interior angles of a polygon with 30 sides.
    7·1 answer
  • mel cuts a slice of cake if her slice is 4/15 of the cake, what is the central angle of her slice, please give answer in degrees
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!