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sergey [27]
3 years ago
12

Evaluate the value of x to 1 d.p Thank you

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

{a}^{2}  =  {b}^{2}  +  {c}^{2}   - 2 \times b \times c \times cos(100) \\  {x}^{2}  =  {13}^{2}  +  {10}^{2}  - (2 \times 13 \times 10 \times cos100) \\  = 169 + 100 - 260 \times 0.862 \\  = 269 - 260 \times 0.862 \\  = 7.758 \\x =  \sqrt{7.758 }  \\  = 2.785 \\  = approx \: 2.8

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Ok so this... is confusing the hell outta me any help? <br>​
kap26 [50]

Answer:

y = 24

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

ABC = 60

We know 2x-4 = 60

2x -4+4 = 60+4

2x = 64

x = 64/2 = 32

A = 3x = 3(32) = 962x-4 = 60

B = 60

Using the first equation

96+ 60 +y = 180

156 +y =180

y = 180-156

y = 24

8 0
3 years ago
The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
2 years ago
The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expr
denpristay [2]

The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: \frac 12 \times 25

Let the sides of Juan's triangle be x, y and z. So:

x = 5 \\ y = 8\\ z = 12

The perimeter (J) of Juan's triangle is calculated by adding all sides.

So:

J =x +y +z

This gives:

J =5 + 8 + 12

J =25

From the question, we understand that:

The perimeter (S) of Stephanie's triangle is half that of Juan.

This means that:

S = \frac 12J

Substitute 25 for J

S = \frac 12 \times 25

Hence, the numerical expression for the perimeter of Stephanie's triangle is: \frac 12 \times 25

Read more about perimeters at:

brainly.com/question/11957651

4 0
3 years ago
Read 2 more answers
What is the value of x<br><br> A 19<br> B 22<br> C 67<br> D71
Novay_Z [31]

Answer:

Step-by-step explanation:

(2x+4)° + 42° = 180°

x = 67°

4 0
2 years ago
A person runs 1/5 miles in 1/40<br> Hour The person's speed is<br> miles per hour.
Minchanka [31]

Answer:

1/5 × 40 = 8

the person's speed is 8 miles per hour

5 0
3 years ago
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