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3 years ago

C. No, Bretts claim is incorrect because the pythagorean can only be used with a right triangle

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

Answer:

C. The answer is C, as pythagorean theorem only works on right triangles.

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A muffin recipe calls for 2/5 tablespoons of vanilla extract for 6 muffins. Arthur is making 18 muffins. How much vanilla extrac

GuDViN [60]

2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins

If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:

x * 6 = 18 * 2/5
x * 6 = 36/5 /6
x = 36/5 / 6
x = 6/5 = 1 1/5

Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.

7 0

3 years ago

The altitude of an airplane is decreasing at a rate 42 feet per second what is the change in altitude of the airplane over a per

Xelga [282]

The descent after 16 seconds would be 672 feet, with the function -42•X and X=16 so -42•16=-672

7 0

3 years ago

Ethan ran 11 miles in 2 hours. what is the unit rate of miles to an hour?

bearhunter [10]

11 ÷ 2 = 5.5
Ethan ran 5.5 miles per hour

4 0

3 years ago

Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

METHOD - I

Sin² C + Cos² C = 1

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$

Tan C = $\frac{3}{4}$ 

METHOD - II

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

∵ ΔABC is Right triangle.

∴ By Pythagorean Theorem-

AB² + AC² = BC²

AC² = BC² - AB²

AC² = 5² - 3²

AC² = 25 - 9

AC² = 16

AC ( Base) = 4

Since,

Tan C = $\frac{Height}{Base}$ 

Tan C = $\frac{AB}{AC}$

Hence Tan C = $\frac{3}{4}$ 

4 0

3 years ago

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

3 years ago