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erica [24]
3 years ago
6

If sin∠E = cos∠F and m∠E = 43°, what is m∠F?

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Using complementary angles, it is found that F = 47º.

<h3>What are complementary angles?</h3>

Two angles are complementary if the sum of their measures is of 90º.

If two angles A and B are complementary, the sine of one angle is the cosine of the other.

In this problem, 43º and 47º are complementary, hence:

sin 43º = cos 47º, which means that F = 47º.

More can be learned about complementary angles at brainly.com/question/11161460

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List all the factor pairs of 40
Zarrin [17]
2x20
1x40
4x10
5x8

All integers these multiply to 40
6 0
3 years ago
Read 2 more answers
He completed 2 and 4/5 rows of grapes each hour he worked after completing 140 rows of grapes how many hours had he worked?
algol [13]

Step-by-step explanation:

Divide 140 by 2\frac{4}{5} to represent the amount of hours he worked.

To make dividing easier, 2\frac{4}{5} can also represent 2.8 as a decimal.

\frac{140}{2.8} =50

He has worked 50 hours after completing 140 rows of grapes.

4 0
3 years ago
Suppose that 18 inches of wire costs 72 cents.
NeX [460]

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

<em>c = 164</em>

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

<em>164 cents</em>

7 0
3 years ago
In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080-112

11x = 968

x = 968/11

x = 88 degrees

Get the middle angle y;

Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

5 0
3 years ago
Write a inequality to represent a number is at most two
Arturiano [62]

Answer:

x≤2

Step-by-step explanation:

8 0
3 years ago
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