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3 years ago

9. Carlos walked 8 miles in 3 hours. Leah walked 14 miles in 6 hours. Are these rates

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

no, not proportional

Step-by-step explanation:

set up a proportion and see if cross-products are equal:

8/3 = 14/6

cross-multiply:

(8)(6) ≠ (14)(3)

48 ≠ 42

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juin [17]

Answer:

- first option is incorrect

- second option is correct

- third option is correct

- fourth option is correct

Step-by-step explanation:

grammarly xoxo

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3 years ago

The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to repr

9966 [12]

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

6 0

3 years ago

Convert the rectangular coordinates (4√3,−4) to polar form. Let r>0 and 0≤θ<2π.

spayn [35]

Answer:

(8,150)

Step-by-step explanation:

Polar form is in,

(r,theta).

To find r, apply pythagorean theorem using both coordinates to find r.

$(4 \sqrt{3} ) {}^{2} + ( - 4 {}^{2} ) = {r}^{2}$

$48 + 16 = {r}^{2}$

$r = 8$

To find theta, since we know the opposite and adjacent side, apply the tangent function.

$\tan(x) = \frac{ - 4}{4 \sqrt{3} }$

Apply inverse tan function

$\tan {}^{ - 1} ( \frac{ - 4}{4 \sqrt{3} } ) = - 30$

Since the degrees have to be in between 0 and 360. Add 180 to -30.

$- 30 + 180 = 150$

So the answer is

(8,150).

3 0

3 years ago

The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h. Which equation can

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Answer

You would add 17 to 51 so it would be 68 degrees

Step-by-step explanation:

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3 years ago

This is a building on the grounds of the us Air Force academy in Colorado featuring a glass skylight resembling the tail of a je

vovangra [49]

Answer:

Pyramid

Step-by-step explanation:

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4 years ago