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SSSSS [86.1K]
3 years ago
11

Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝

if ∝ < β. sin(2x - 8) = cos(6x - 6) A) 13° B) 18° C) 72° D) 77°
Mathematics
1 answer:
barxatty [35]3 years ago
7 0
Since ∝ < β you can throw out answers C and D. Using the relationship of sine and cosine being complementary angles you can plug in the two smallest values. Out of those two for 13° you get sin18°=cos72° and 13°+72°=90°, meaning these two angles are complementary. 
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Dr. Newton needs 5000 dollars, and 3000 dollars have already been saved. So, 2000 dollars remain.

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4 0
3 years ago
Janelle and her best friend Carmen go shopping. the function p(t) = 5^4-3x^3 +2^2+24 represents how much money each girl spent b
emmasim [6.3K]
<h2>Hello!</h2>

The answer is:

They spent $176 together.

<h2>Why?</h2>

We are given an expression which represents the money spent for each girl, it's a function of time and it will show how much they can spend in terms of hours.

Assuming that you have committed a mistake writing the equation, otherwise, the given options would not fit, the expression is:

p(t)=5x^{4}-3x^{3}+2x^{2}+24

Now, from the statement we know that the function represents how much money each girl spent, so, if we need to calculate how much money they will spend together, we need to multiply the expression by 2, so we have:

p(t)=2(5x^{4}-3x^{3}+2x^{2}+24)

Then, calculating the spent money for 2 hours, we need to substitute the variable "x" with 2.

Calculating we have:

p(2)=2(5*(2)^{4}-3*(2)^{3}+2*(2)^{2}+24)=2(5*16-3*8+2*4+24)

p(2)=2(5*16-3*8+2*4+24)=2(80-24+8+24)=2*88=176

Hence, we have that they spent $176 together.

Have a nice day!

3 0
3 years ago
Read 2 more answers
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A cab company charges according to the following rate chart. Which graph correctly represents the charge, y, in dollars for a ca
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The graph is the one that correctly represents the linear piece-wise function is the first graph.

<h3>How to solve for the graph</h3>

First we have a linear function as

Mx + b

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b = y-intercept, y value as x = 0

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Read more on graphs here:

brainly.com/question/22295833

#SPJ1

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