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faust18 [17]
3 years ago
12

Given the triangle below, what is m A. 46.2 B. 41.40 C. 48.4 D. 38.6°

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

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PLEASE GUYS HELP ME I NEED THIS FOR A TEST NOW
ValentinkaMS [17]

Answer:

23.54 m

Step-by-step explanation:

Applying

cos∅ = adjacent(A)/hypotenuse(H)

cos∅ = A/H................ Equation 1

make H the subject of the equation

H = A/cos∅............ Equation 2

Given: A = 15 m, ∅ = 25°

Substitute into equation 2

H = 15/cos25

H = 16.55 m

Also,

tan∅ = opposite(O)/Adjacent(A)

tan∅ = O/A............Equation 3

Make O the subject of the equation

O = Atan∅.......... Equation 4

Substituting into equation 4

O = 15(tan25°)

O = 6.99 m.

From the diagram,

The height of the goal post before snap = H+O

The height of the goal post before snap = 16.55+6.99

The height of the goal post before snap = 23.54 m

4 0
3 years ago
In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral?
iris [78.8K]

Answer:

(B) 18.

Step-by-step explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

\text{Perimeter of quadrilateral}=8+1+8+1

\text{Perimeter of quadrilateral}=16+2

\text{Perimeter of quadrilateral}=18

Therefore, the perimeter of the given quadrilateral is 18 units.

8 0
4 years ago
Harriet has an 8.5-inch-by-11-inch sheet of paper. She brings the short edges together to create a cylinder and adds a top and b
ICE Princess25 [194]

Answer:

dunno

Step-by-step explanation:

dunno

4 0
3 years ago
Find the value of x help me
gregori [183]

Answer: x = 35

Step-by-step explanation:

since its a 90 degree angle the equation is equal to 90

2x + 20(-20) = 90(-20)

2x/2 = 70/2

x = 35

hope this helps :))

7 0
3 years ago
Read 2 more answers
A ware house has 355 books to ship each shipping. Cartton holds 14 books how many carttons dose the ware house need to ship all
nexus9112 [7]
26 cartons.
355 books / 14 books per carton = 25.36
Because you cannot ship a half carton, you would need a total of 26.
3 0
3 years ago
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