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vovikov84 [41]
2 years ago
14

Use the inverse cosine to find the measure of angle Q.

Mathematics
1 answer:
Rom4ik [11]2 years ago
4 0

Answer:

∠ Q ≈ 53.1°

Step-by-step explanation:

cos Q = \frac{adjacent}{hypotenuse} = \frac{QS}{QR} = \frac{6}{10} , then

∠ Q = cos^{-1} (\frac{6}{10} ) ≈ 53.1° ( to the nearest tenth )

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

H(x,y) = (8,6)

San Antonio

T(x,y) = (-6,-7)

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)] (1)

S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]

S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)

S(x,y) = (4.5,2.75)

Andra

A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)] (2)

A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]

A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)

A(x,y) =(1, -0.5)

Emily

E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)] (3)

E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]

E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)

E(x,y) = (-2.5, -3.75)

a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, A(x,y) =(1, -0.5).

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

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3 years ago
I can't figure this one out.
mezya [45]

Answer:

I'm pretty sure the answer is B. x+6

Step-by-step explanation:

a polynomial with two terms (x and 6) is called a binomial. bi means two, so your answer would have two terms! hope this helped :)

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Neporo4naja [7]

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Step-by-step explanation:

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The new value would be $134.40; 1.12 times 120
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