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attashe74 [19]
3 years ago
8

given triangle PQR with QR = 8, PQ = 6, and m p = 90 degrees, which of the following choices is used to determine m r

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8

The situation forms a right angle triangle.

<h3>How to find an angle in a right triangle?</h3>

The angle R can be found as follows:

using trigonometric ratios,

sin R = opposite / hypotenuse

Therefore,

opposite sides = 6

hypotenuse = 8

sin R = 6 / 8

R = sin⁻¹ 6 / 8

learn more on right triangle here: brainly.com/question/6322314

#SPJ1

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For each equation, determine the number of solutions and place on the appropriate field in the table. 3x2 + 24x = -48 4x2 - 16x
Arte-miy333 [17]

Answer:

3x^2+24x=-48 -> one solution, x=-4

4x^2-16x=0 -> has two solutions, x=0 and x=4

5x^2+2=4x -> has no solutions,

3(x+5)^2=-2 -> has no solutions.

Step-by-step explanation:

7 0
3 years ago
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Please help i am confused
Dovator [93]

Answer: (1)

Step-by-step explanation:

The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.

3 0
2 years ago
A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain
noname [10]

Answer:

Z_{H0}= 1.56

Step-by-step explanation:

Hello!

You have two independent samples of fertilizers from distributor A and B, and need to test if the average content of nitrogen from fertilizer distributed by A is greater than the average content of nitrogen from fertilizer distributed by B.

Sample 1

X₁: Content of nitrogen of a fertilizer batch distributed by A

n₁= 4 batches

Sample mean X₁[bar]= 23pound/batch

σ₁= 4 poundes/batch

Sample 2

X₂: Content of nitrogen of a fertilizer batch distributed by B

n₂= 4 batches

Sample mean X₂[bar]= 18pound/batch

σ₂= 5 pounds/batch

Both variables have a normal distribution. Now since you have the information on the variables distribution and the values of the population standard deviations, you could use a pooled Z-test.

Your hypothesis are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

The statistic to use is:

Z= <u> X₁[bar] - X₂[bar] - (μ₁ - μ₂) </u>~N(0;1)

       √(δ²₁/n₁ + δ²₂/n₂)

Z_{H0}=<u>   </u>(<u>23 - 18) - 0  </u> = 1.56

         √(16/4 + 25/4)

I hope this helps!

8 0
3 years ago
Estimate the time it would take you to drive 361 miles at 42 miles per hour. Round to the nearest hour.
polet [3.4K]

Answer:

It would take you 9 hours

Step-by-step explanation:

Speed (s) = Distance (d) / Time (t)

given that; Speed = 42 miles/hour

                 Distance = 361 miles

42 miles/hour = 361 miles / Time (t)

Time (t) * 42 miles/hour = 361 miles

Time (t) = 361 miles / 42 miles/hour

Time (t) = 8.59 hours

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8 0
3 years ago
The functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first
sertanlavr [38]

Answer:

13/9

y =-22x+32

Step-by-step explanation:

Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.

x f(x) f'(x) g(x) g'(x)

1 4 -3 5 2

2 -3 -1 4 6

3 π 8 -1 4

4 -5 unknown 0 3

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(using quotient rule)

Substitute 1 for x

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b) r(x) = f(x) g(x)\\r'(x) = f(x) g'(x)+g(x)f'(x)

when x =2, r(x) = r(2) = f(2) g(2) = -12

point of contact is (2,-12)

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Using point slope form, tangent is

y+12 = -22(x-2)\\y = -22x +32

7 0
4 years ago
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