9514 1404 393
Answer:
r ≈ 19.0
s ≈ 17.7
Step-by-step explanation:
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
So, you have ...
cos(43°) = r/26
r = 26·cos(43°) ≈ 19.0
__
sin(43°) = s/26
s = 26·sin(43°) ≈ 17.7
Answer: 0.418 < p < 0.512
Step-by-step explanation: A 95% conifdence interval for a population proportion is given by:
where:
p is the proportion
z is score in z-table
n is sample size
The proportion for people who said "yes" is
= 0.465
For a 95% confidence interval, z = 1.96.
Calculating
0.465 ± 1.96*0.024
0.465 ± 0.047
Interval is between:
0.465 - 0.047 = 0.418
0.465 + 0.047 = 0.512
<u>The interval with 95% of confidence is between 0.418 and 0.512.</u>
The incenter of a triangle is where the angle bisectors of the triangle meet. That means angle A is 64, angle B is 74, and using the triangle angle sum, angle C is 42 degrees. Divide that in half to get the measure of DCA, 21 degrees.
Answer:
Yes both of the circles show the same amount.
Step-by-step explanation:
You start of by looking at both of the circles. Each circle shows the same fraction which is 1/3, which means both of them have the same value or amount. Both circles have the same amount of total parts, and have the same amount of parts shaded in. Sorry that was long but yeah both of the circles show the same amount.
Answer:
A = 47° and B = 43°
Step-by-step explanation:
Express angle A in terms of angle B, that is
A = B + 4
Complementary angles sum to 90°, hence
A + B = 90, that is
B + 4 + B = 90
2B + 4 = 90 ( subtract 4 from both sides )
2B = 86 ( divide both sides by 2 )
B = 43
Hence
∠B = 43° and ∠A = B + 4 = 43 + 4 = 47°
