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Natasha_Volkova [10]
3 years ago
8

Plzzzz help me on this questions fast This is Trigonometry​

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0

Answer:

x = 20.41 units, y = 11.71 units to the nearest hundredth.

Step-by-step explanation:

Consider the small triangle:

cos 20 = 11/y

y = 11 / cos 20

= 11.706 units.

Now the larger triangle:

sin 35 = 11.706 / x

x = 11.706 / sin 35

x = 20.409 units.

Sladkaya [172]3 years ago
5 0

Answer:

x ≈ 20.42, y ≈ 11.71

Step-by-step explanation:

Using the cosine ratio on the right triangle on the right, that is

cos20° = \frac{adjacent}{hypotenuse} = \frac{11}{y}

Multiply both sides by y

y × cos20° = 11 ( divide both sides by cos20° )

y = \frac{11}{cos20} ≈ 11.71

Using the sine ratio on the right triangle on the left, that is

sin35° = \frac{opposite}{hypotenuse} = \frac{y}{x} = \frac{11.71}{x}

Multiply both sides by x

x × sin35° = 11.71 ( divide both sides by sin35° )

x = \frac{11.71}{sin35} ≈ 20.42

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X2-3xy-5xy-7y2+4x2+8y2
Zepler [3.9K]

For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

4 0
3 years ago
Ryan is filling a box with 1-inch cubes. He filled the bottom layer as shown. Ryan wants to completely fill the box.
Norma-Jean [14]
You cant answer the Question with out the picture  <span />
3 0
3 years ago
State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen
yuradex [85]

Answer:

Answer is option 2

Step-by-step explanation:

We know that Angle M = Angle G (given in diagram)

We also know that Angle L in triangle LMN is equal to Angle L in triangle LGH

As two angles are equal in both triangles they are similar.

But why is it Triangle LGH instead of Triangle HGL?

As we know M=G therefore they should be in the same place in the name Of the triangle. In triangle LMN M is in the middle therefore Angle G should also be in the middle

7 0
2 years ago
Simplify 45/150 show work please:)
Jlenok [28]

Answer:

\frac{3}{10}

Step-by-step explanation:

\frac{45}{150}  15 can go into both 45 and 150 so you divide both into that

45/15 is 3

150/15=10

\frac{3}{10}

7 0
2 years ago
Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of
Rzqust [24]

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Step-by-step explanation:

The given is,

               A solid clay brick in the shape of a rectangular prism.

               A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

               The clay weighs 1.055 ounces per cubic

Step:1

              Formula for volume of rectangular prism,

                                  Volume, V= whl...................(1)

            Where, w - Width of the rectangular prism

                          h - Height of rectangular prism

                           l - Length of rectangular prism

            From the given,

                         w = 3.5 inches

                          h = 2.25 inches

                           l =  8 inches

           Equation (1) becomes,

                                              = (3.5)(2.25)(8)

                                              = (7.875)(8)

                                              = 63

                            Volume, V = 63 cubic inches

Step:2

          Weight of brick = Volume of brick × Weight per cubic inch

                                     = (63) (1.055)

                                     = 66.465 ounces

          Weight of brick = 66.465 ounces

Result:

            The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

7 0
2 years ago
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