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Vlada [557]
4 years ago
14

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics
1 answer:
kvasek [131]4 years ago
7 0

cos = adjacent/hypotenuse

cos 31° = 20/x

Cross multiply.

0.8571673007x = 20

Divide both sides by cos 31°.

x = 23.3 (rounded to nearest tenth).

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A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

4 0
4 years ago
The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.
Licemer1 [7]
You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
2+x=8
x=6

(6+y)/2=10
6+y=20
y=14

The answer is A. (6,14)
5 0
3 years ago
6 x (36÷12)2 + 8 = =
svp [43]

6*(36/12)2+8

=44

Hope this helped :T

7 0
3 years ago
Read 2 more answers
If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
nordsb [41]

Answer:

They both have H hoel

Step-by-step explanation:

\

4 0
2 years ago
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0
3 years ago
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