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wel
4 years ago
7

Find the value of x in a triangle with one side 11 and 1 angle being 28​

Mathematics
2 answers:
Kobotan [32]4 years ago
8 0

Answer:

c 12.5

Step-by-step explanation:

cos 28 = adjacent side/ hypotenuse

cos 28 = 11/x

Multiply each side by x

x cos 28 = 11/x *x

x cos 28 = 11

Divide each side by cos 28

x cos 28/ cos 28 =11 /cos 28

x = 11 /cos 28

x =12.45827056

To the nearest tenth

x = 12.5

Andre45 [30]4 years ago
4 0

Answer:

C: 12.5

Step-by-step explanation:

The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.

First we can set up our equation

cos28=\frac{11}{x}

Next we can solve for x by multiplying by x and dividing by cos 28

x=\frac{11}{cos28}\\\\x=12.458\\\\x=12.5

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A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?
trapecia [35]

Answer:

$120

Step-by-step explanation:

y = mx + b

The $100 sign up fee is a set amount, or the b value.

The $20 would be the m value since it the constant change, or the slope.

Thus, the equation would be y=20x + 100

The membership fee for 1 month would be --->

y= 20(1) +100

y= 20 + 100

y= $120

                                     

4 0
3 years ago
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
Leo wants to paint a moral that covers a wall with an area of 1440 sq ft. the height of the wall is 2 fifths of its length. What
DerKrebs [107]
The length of the wall will be 288.... I think
4 0
3 years ago
Read 2 more answers
What is 1.28 as a fraction. Simplify
attashe74 [19]
128/100=32/25
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8 0
3 years ago
Read 2 more answers
Over five days Nikia ran a total of 10.2
beks73 [17]

Answer:

2 miles

Step-by-step explanation:

10.2 (total amount of miles ran) - 2.2(fifth day) = 8m

8=miles ran in total for the first 4 days

8 miles / 4 days = 2 miles per day for the first 4 days

5 0
3 years ago
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