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denis-greek [22]
3 years ago
5

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

The length of PR is 4.4 units.

Explanation:

It is given that the length of the hypotenuse is 10 units.

Also, the angle of R is 64°

To find the length of PR, we shall use the cosine formula,

\cos \theta=\frac{a d j}{h y p}

Here,  \theta=64, adj = PR and hyp = 10

Substituting these values in the formula, we get,

\cos 64=\frac{P R}{10}

Multiplying both sides by 10, we get,

10*\cos 64={P R}

Substituting the value for cos 64, we get,

10*0.438={P R}

Multiplying, we have,

4.38=PR

Rounding off, we get,

PR=4.4

Thus, the length of PR is 4.4 units.

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Nat2105 [25]

Answer:

a_{10}=\frac{20}{11}


Step-by-step explanation:

The formula for nth term of a the sequence is given as  a_n=\frac{2n}{n+1}


<u>Finding the 10th term means finding  a_{10}, which means to plug in 10 into n, in the nth term formula.</u>

a_{10}=\frac{2(10)}{(10)+1}=\frac{20}{11}

7 0
3 years ago
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Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.
kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.

Find the value of B from the equation 2A - B = 1:

2A-B=1\\-B=1-2A\\B=2A-1

Substitute in the B-value to the other equation:

-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}

Find the B-value using the equation from before:

B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}  

Therefore the equation Ax + By = 1 would equal:

\frac{1}{7} x-\frac{5}{7} y=1

4 0
3 years ago
A chemist recorded the change in temperature of a cooling liquid as −25.5°F over a 1.5 minute period. The temperature fell at a
Strike441 [17]

The rate of change in temperature is −17°F/min

<h3>Rate of change of a function</h3>

The formula for calculating the rate of change of a function is expressed as:

Rate of change = rise/run

This is also known as the slope of the function

Given the following parameters

Temperature = −25.5°F

Cooling time = 1.5mins

Determine the rate of change

Rate = −25.5°F/1.5min

Rate = −17°F/min

Hence the rate of change in temperature is −17°F/min

Learn more on rate of change here: brainly.com/question/8728504

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5 0
2 years ago
Which situation can be represented by Y= 12x - 4?​
andrey2020 [161]

Answer:

D. The number of eggs , y, in x, dozen eggs for sale after 4 dozen eggs are sold

Step-by-step explanation:

The correct answer is D

The number of eggs , y, in x, dozen eggs for sale after 4 dozen eggs are sold.

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HELP ILL MARK YOU BRAINLIST
Goshia [24]

Answer:

slope is 3/5

y intercept (0,0)

Step-by-step explanation:

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