To find the answer we simply work out the equation.
cos (75) = 10/x

cos (75) * x = 10. Here, I simply multiplied both sides by x to move x to the left hand side of the equation.

x = 10 / cos (75) Here, I divided cos (75) on both sides to move cos (75) to the right hand side of the equation.

The cosine of 75 is 0.92175127, so, 10 / 0.92175127 = 10.8489137

4 0

3 years ago

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

gladu [14]

Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20 min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min

The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

7 0

3 years ago

How to write 30 1/4% as a fraction in simplest formq

ycow [4]

$p\%=\dfrac{p}{100}\\\\30\dfrac{1}{4}=\dfrac{30\cdot4+1}{4}=\dfrac{121}{4}\\\\30\dfrac{1}{4}\%=\dfrac{121}{4}\%=\dfrac{\frac{121}{4}}{100}=\dfrac{121}{4}\cdot\dfrac{1}{100}=\dfrac{121}{400}\\\\Answer:\boxed{30\frac{1}{4}\%=\frac{121}{400}}$

8 0

3 years ago