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il63 [147K]
3 years ago
14

-(m-3)=5m-(6m-7)-4 solve?

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

-( m-3) = 5m-(6m-7)-4

-m+3 = 5m-6m+7-4

-m-5m+6m = 7-4-3

0m= 0

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Find the nonpermissiable replacelment for the variable in the expression. 3x/5x+2
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A person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20
lorasvet [3.4K]

Answer:

21.27 meters.

Step-by-step explanation:

Please find the attachment.

Let H and h represent height of building and tree respectively.

We have been given that a person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person and the building is 60 m away from the person.

We know that tangent relates opposite side of a right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(28^{\circ})=\frac{H}{60}

60\cdot \text{tan}(28^{\circ})=H

60\cdot 0.531709431661=H

H=31.90256589966\approx 31.90

Similarly, we can find height of the tree.

\text{tan}(28^{\circ})=\frac{h}{20}

20\cdot\text{tan}(28^{\circ})=h

20\cdot 0.531709431661=h

h=10.63418863322\approx 10.63

H-h=31.90-10.63

H-h=21.27

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3 0
3 years ago
Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices ar
Katen [24]

Answer: P = 6 miles

Step-by-step explanation: A rectangle is a quadrilateral with opposite sides with the same measure. As Central Park is one, its parallel sides has the same measurement.

Distance of points gives the measurement of the sides of the rectangle. It is calculated as:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }

For the first two points, (-1.25,-0.25) and (-1.25,0.25), note that x-components is the same, so, only y-component is relevant to the distance:

d=\sqrt{(-1.25+1.25)^{2}+(0.25+0.25)^{2} }

d=\sqrt{(0.5)^{2} }

d = 0.5

Two sides of the rectangle are 0.5 miles.

For points (-1.25,0.25) and (1.25,0.25), y-component will add 0 to the formula. Then,

d=\sqrt{(1.25+1.25)^{2}+(0.25-0.25)^{2} }

d=\sqrt{(2.5)^{2}}

d = 2.5

Two sides of the park are 2.5 miles.

Perimeter is the sum of all the sides of a geometric figure.

Perimeter of central Park is

P = 0.5+0.5+2.5+2.5

P = 6

Central Park has perimeter of 6 miles.

8 0
4 years ago
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