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Vsevolod [243]
3 years ago
7

If the length of each side of the right triangle shown on the grid is measured in cm, find the area of the triangle.

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

The area of the given triangle is 25 square cm.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of the triangle.

The right bottom end of the triangle is at (15, 5).

The bottom left end of the triangle is at (10, 5).

The top left end of the triangle is (10, 5).

The area of a triangle is given by half the product of its base length and the height of the triangle.

Step 2:

The area of a triangle= \frac{1}{2} (base)(height).

The base is the distance between the bottom two points. The base length= 15 -10 = 5 cm.

The height is the distance between the two left points. The height= 15 - 5 = 10 cm.

The area of the triangle = \frac{1}{2} (5)(10) = 25.

The area of the given triangle is 25 square cm.

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Las edades de kevin y ayrton son 30 y 36 años. Dentro de cuántos años sus edades estarán en relación de 13 a 11
harkovskaia [24]

<span>3 años. A los tres años las edades serán 39 y 33. 39 dividido por 33 es una relación igual a 13 dividido por 11.</span>
3 0
3 years ago
An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t
Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

Download pptx
5 0
3 years ago
PLS HELP
Rzqust [24]
1+1=2!!

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8 0
3 years ago
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a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop
Kobotan [32]

Answer:

Table:

0,200

4, 262

8,344

12, 450

Population after 12 years is 450 deer

Initial population is 200 deer.

Step-by-step explanation:

You take the x in the table and plug it in as an exponent so you will need a calculator or multiple the 1.07 by that many times so 1.07 12 times multipled by itself. and the initial is 0 years so anything to the exponent of 0 is 1 so that show i got 200 for the x=0

8 0
3 years ago
Find the slope (-2,-4) (-5,5)
diamong [38]

Answer:

Your answer would be Slope m = -3

Step-by-step explanation:

Step 1: Graph the points on a <u>coordinate plane</u>( <em>refer to image!)</em>

Whenever your trying to find a slope of 2 order pairs, remember this

m = rise/run. ( Slope = rise over run.) = Δy/Δx

Now we solve:

M = rise/run = Δy/Δx

M = y2 - y1/x2-x1

M = 5 - (-4) / -5-(-2)

<u>So we get  M = 9/-3 and </u><u>9 divided by -3 is -3 </u>

<u />

So, the slope of (-2,-4) and (-5,5) is -3.

5 0
3 years ago
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