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2 years ago

Willl give 100 points!! Find the exact value of sine, cosine and tangent.

Mathematics

1 answer:

mezya [45]2 years ago

4 0

Answer:

Step-by-step explanation:

c i think

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Solve for x. Show all your work

olasank [31]

42°

Step-by-step explanation:

$\angle BAE =180\degree -132\degree$

(Angles in linear pair)

$\angle BAE =48\degree$

$\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})$

$\angle ABE = 180\degree-(48\degree+90\degree)$

(Angle sum postulate of a triangle)

$\implies\angle ABE = 180\degree-138\degree$

$\implies\angle ABE = 42\degree$

$\angle CDE =\angle ABE = 42\degree$

(corresponding angles)

$\implies x\degree=\angle CDE$

(vertical angles)

$\implies x\degree=42\degree$

$\implies x=42$

3 0

1 year ago

X= square root of 10x-24

FrozenT [24]

√10x-24 = x

Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x

STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2

STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}

STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4

7 0

2 years ago

Mr. Dyer is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is

boyakko [2]

Answer:

5 meters.

Step-by-step explanation:

Given:

Mr. Dyer is leaning a ladder against the side of his house to repair the roof.

The top of the ladder reaches the roof, which is 3 meters high.

The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.

Question asked: