The measure of acute angle A to the nearest tenth of a degree is 51.2°
<h3>Measure of angles</h3>
From the given information, we are to determine the measure of the angle.
The angle we are to determine its measure is acute angle A
From the given information, we have that
sin A = 0.7793
Thus,
A = sin⁻¹(0.7793)
Using calculator
A = 51.1965°
A ≅ 51.2°
Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°
Learn more on Calculating measure of angles here: brainly.com/question/9171516
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Answer:
the perimeter is 960
Step-by-step explanation:
The computation of the perimeter is shown below;
If we assume
= (24 × 2) + (6 × 2)
= 48 + 12
= 60
And, the area is 16 times to that of original So
= 60 × 16
Hence, the perimeter is 960
Answer:
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Step-by-step explanation:
The national average is 17% .The z proportional hypothesis test is used.
1) Let the null and alternate hypothesis be
H0: p =0.17
against the claim
Ha: p ≠ 0.17
Choose the significance level ∝= 0.05
The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.
Computing
z= p^-p / sqrt [pq/n]
Z= 0.22-0.17/ √0.17*(1- 0.17)/90147
z= 39.965
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
2* 100 + 2 * 65 = 330 perimeter
100 * 65 = 6,500 area
2*90 + 2*75 = 330 perimeter
90 * 75 = 6,750 area
For this case we have the following functions:
We must find f (g (x)). So:
Finally we have to:
For the function to be defined the denominator must be different from 0. That is x different from -3.
Answer:
Option B
