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ladessa [460]
3 years ago
6

4)

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

a is 25 b is 15 percent

Step-by-step explanation:

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In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?
luda_lava [24]

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

8 0
3 years ago
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(4, 1) and (6,7)what is the slope ​
mojhsa [17]

Answer:

3

Step-by-step explanation:

m =  \frac{y}{x}  =  \frac{7 - 1}{6 - 4}  =  \frac{6}{2}  = 3

6 0
3 years ago
Solve the following system of equations. If there is no solution, write DNE in each coordinate of the
Rainbow [258]

Answer:

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Step-by-step explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2

6 0
3 years ago
Convert 9 1/2 into fractional notation.
raketka [301]
(9 * 2) + 1 = 18 + 1 = 19/2 is it's fractional notation/mixed number.
3 0
3 years ago
What is 1748 divided by 53 I’m not very sure please help ASAP
Zina [86]
32.98 is the answer to that question
5 0
3 years ago
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