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Vaselesa [24]
3 years ago
5

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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In the right triangle shown, what is the cosine of angle C?
DiKsa [7]

Answer:

Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is

length of adjacent leg

length of hypotenuse

, the cosine of angle C is

24

26

, or

12

13

.

3 0
3 years ago
Read 2 more answers
27p+41=23+p. show with steps, the final answer should be p=9/13, please show how​
const2013 [10]

Answer:

9/13

Step-by-step explanation:

Everything that crossed the equal sign past with an opositive value.

41-23=18

27-p= 26

18/26

9/13

3 0
4 years ago
How do I draw a picture to show how to find 12+37
mihalych1998 [28]
Draw 12 dollars and 37 pennies! vote me brainliest :)
4 0
4 years ago
Read 2 more answers
Solve the equation v^3=80
Luba_88 [7]

Answer:

4.31

Step-by-step explanation:

Find the cube root of both sides of the equation.

^3\sqrt{v^3} = ^3\sqrt{80}

The cube root will cancel out the cubed in the variable.

v = ^3\sqrt{80}

Find the cube root of 80. I rounded to the nearest hundredth.

v = 4.31

3 0
3 years ago
Read 2 more answers
in Virgil's class, there are 4 girls for every 5 boys. There are 27 students in the class. How many are girls?
Korvikt [17]
The answer is twenty
3 0
4 years ago
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