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:
One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes
Step-by-step explaination:
The maximum amount he can haul in one load is 7500 pounds
150 × 40 pounds boxes = 6000 pounds
20 × 75 pounds boxes = 1500 pounds
6000 pounds + 1500 pounds = 7500 pounds
Answer:
Part A. C=9
Part B. (w+3)² =139
Part C. w = 8.8 inch
Step-by-step explanation:
Given from the question length of the the picture = (2w+12) inches
Width of the picture = w inches
Area of the picture = 260 inch²
Part A. Area of the picture with the given dimensions= w×(2w+12)
Or w(2w+12) = 260
2w²+12w = 260
2(w²+6w) = 2×(130)
w²+6w = 130
Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c
Therefore for c = 9 we will get a perfect square trinomial.
Part B. As we have seen the equation in part A.
As required equation will be (w+3)²=139
Part C. Since (w+3)² = 139
Then by taking under root on both the sides of the equation
(w+3) =√139 = 11.8
(w+3)-3=11.8-3
w = 8.8 inch
Answer:
153 times
Step-by-step explanation:
We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14
Width = 0.14
ME = 
ME = 
ME = 
use p = 0.5
z at 95.8% is 1.727(using calculator)
So, Option B is true
Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head
