Answer:
<em>c</em> = 32.1
<em>b = </em>34.4
<em />
47 degrees
Step-by-step explanation:
Using sine = opp/hyp. to find side c:
Using cosine = adj/hyp. to find side b:

Finding angle B:
It's a right triangle and you're given one of the acute angles, which means you can find the missing third angle. All triangles interior angles add to equal 180 degrees.
180 - (43 + 90) = 47 degrees
Step-by-step explanation:
Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.
Also nine cookies has 7*9 = 63 grams of fat.
So the number of grams consumed will be at least 36 and no more than 63.
Answer:
C
Step-by-step explanation:
only a dilation would make the figures not congruent/similar
Answer:
1. 91 = 70*1.30
2a. 195= 150*1.30
2b. 210 = 150*1.40
3a. 56.70 = 156* .30
3b. 132.30 = 156-56.70
3c. 17.20 = 132.30 *0.13
3d. 149.50 = 132.30+17.20
3e. You do not have enough money, because you need $9.50 more.
Step-by-step explanation:
good luck
Answer:
The standard error of the mean is 0.85.
Step-by-step explanation:
The given standard deviation of a population (σ) = 7.8
sample size (N) = 85
We have to find standard error of the mean.
The formula to find standard error of the mean
= (standard deviation of the distribution) / (square root of sample size)
= (σ) / (√N)
= 7.8 / (√85)
= 7.8 / 9.219544457
= 0.8460
= 0.85 (approximately taken to two decimal places)
We have got the required answer.
The standard error of the mean is 0.85.