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nikitadnepr [17]
3 years ago
12

A certain highway has a 7% grade. how many feet does it rise in a horizontal distance of 1 mile? (1 mile = 5280 feet. round your

answer to one decimal place.)
Mathematics
1 answer:
pentagon [3]3 years ago
3 0
For this case we have the following relationship:
 (x / 5280) = (7/100)
 From this relationship we must clear the value of x.
 Clearing we have:
 x = (7/100) * (5280)
 Calculating we have:
 x = 0.07 * 5280
 x = 369.6 feet
 Answer:
 
it does rise in a horizontal distance of 1 mile about:
 
x = 369.6 feet
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The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
Which number will come next 4, 5, 9, 18, 34, 59…?
GaryK [48]

Answer: 95

34 + 59 = 95

6 0
3 years ago
I need you to explain your answer, please.
Alex787 [66]

Answer:

7√6 - 5√7  

Step-by-step explanation:

5√7 + 12√6 - 10√7 - 5√6    (rearranging)

= (5√7 - 10√7) + (12√6  - 5√6)   (factor out √6 and √7 respectively)

= (5 - 10) √7  + (12  - 5)√6

=  -5√7  + 7√6  (rearrange)

=  7√6 - 5√7  

4 0
3 years ago
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun
yarga [219]

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7

Hence, the distribution for the total amount of product has <u>mean and standard deviation</u> given by:

\mu = \mu_F + \mu_R = 370 + 170 = 540

\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25

The probability that the total amount of product is less than 575 g is the <u>p-value of Z when X = 575</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{575 - 540}{25}

Z = 1.4

Z = 1.4 has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0
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6y+2+9x how many terms are there in the algebraic expression
TiliK225 [7]

Answer: 3

Step-by-step explanation:

6y (1)

2 (2)

9x (3)

7 0
3 years ago
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