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GenaCL600 [577]
3 years ago
5

Please assist me with these problems using the 45-45-90 relationship triangles​

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

side opposite 90 angle = x \sqrt{2}

sides opposite 45 angle = x

the multiplication and division by  \sqrt{2} should be self explanatory

1. x = 5, y = 5

2. v = 10, u = 10

3. x = \sqrt{10}, y = \sqrt{5}

4. m = 5, n = \frac{5\sqrt{2} }{2}

5. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

6. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

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The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width
Elenna [48]

Answer:

Width is 10  Length is 20

Step-by-step explanation:

Perimeter = 60

Length = W + 10

P = 2L + 2W                      Write the equation for perimeter

60 = 2(W + 10) + 2W         Substitute your variables

60 = 4W + 20

- 20          - 20                Subtract 20 from both sides

40 = 4W                        Divide both sides by 4

10 = W

8 0
2 years ago
Read 2 more answers
Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg
love history [14]

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

Opposite side = Height

Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}

$\tan27^\circ =\frac{{ h}}{200}

The value of tan 27° = 0.5095

$0.5095 =\frac{{ h}}{200}

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

8 0
3 years ago
Pleas help I will mark brainliest
kramer

The area for one side is S^2 where S is the length of one side.

The area for one side = 1/2^2 = 1/4 square foot.

A cube has 6 sides. Total surface are = 1/4 x 6 = 1 1/2 square feet.

Volume of a cube is S^3

1/4^3 = 1/64 cubic foot.

3 0
3 years ago
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Solve for x please and thank you
Sphinxa [80]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of segment lengths is the same for the two chords.

  9(21) = x(27)

  x = 189/27 . . . . . divide by 27

  x = 7

5 0
2 years ago
Does the line whose equation is y=-2x+13 pass through the point (4,5)? Explain how you arrived at
katrin2010 [14]

Answer:

Yes

Step-by-step explanation:

Plug in 4 for x, 5 for y. if it equals, then its a point

5 = -2(4) + 13

5 = -8 + 13

5 = 5

it equals so (4,5) is a point

6 0
2 years ago
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