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liq [111]
2 years ago
12

Solve for the missing side to the nearest tenth. 19 X 51

Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer:

<em>x = 30.2 units</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 51^\circ=\frac{19}{x}

Solving for x:

\displaystyle x=\frac{19}{\cos 51^\circ}

\displaystyle x=\frac{19}{0.6293}

x = 30.2 units

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Answer:

16.4012194669

simplified: 16.4

Step-by-step explanation:

4 0
2 years ago
6. If n (E) = 40, n (A) = 22, n (ANB) = 8 and n ((AUB)') = 6, determine n(B)​
Dimas [21]

Answer:

4

Step-by-step explanation:

First n(AUB)=n(E) - n((AUB)')

So n(AUB) = 40 - 6 = 34

Now all u hv to do is use the formulae,

n(AUB) = n(A) + n(B) - n(ANB)

So when u substitute above values,

34=22 + n(B) - 8

So,

n(B) = 4

4 0
3 years ago
If CD= EF and EF = GH, then
Dmitry [639]
GH=CD i think im not really super outrageous with math 
6 0
3 years ago
Given: m
Nutka1998 [239]

Answer:

m\angle MEJ=25^{\circ}.

Step-by-step explanation:

The arcs LY, KM, KL and MJ together form the full revolution angle, thus

4x+50^{\circ}+6x+x+10^{\circ}+4x=360^{\circ},\\ \\15x=300^{\circ},\\ \\x=20^{\circ}.

Note that

m\angle MOJ=4x=80^{\circ},

then

m\angle MLJ=\dfrac{1}{2}\cdot 80^{\circ}=40^{\circ}.

So,

m\angle ELM=180^{\circ}-40^{\circ}=140^{\circ}.

Also

m\angle LOK=30^{\circ},

so

m\angle KML=\dfrac{1}{2}\cdot 30^{\circ}=15^{\circ}.

In triangle EML,

m\angle MEL+m\angle EML+m\angle ELM=180^{\circ},\\ \\m\angle MEL=180^{\circ}-15^{\circ}-140^{\circ}=25^{\circ}.

Thus, m\angle MEJ=25^{\circ}.

7 0
3 years ago
Find the rate of interest per annum at which ₹ 5000 will amount to ₹ 6, 050 in 3<br> years.
loris [4]

Answer:

7%

Step-by-step explanation:

Using the formula

Amount = Principal + Interest

Give the following

Principal = ₹ 5000

Amount =₹ 6050

Time = 3 years

Required

Time

Substitute into the formula

A = P + I

A = P + PRT/100

6050 = 5000 + 5000(R)(3)/100

6050 - 5000 = 150R

1050 = 150R

R = 1050/150

R = 7

Hence the rate of interest is 7%

6 0
2 years ago
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