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Law Incorporation [45]
3 years ago
12

Find the area of the following geometric figure

Mathematics
1 answer:
romanna [79]3 years ago
4 0

The area of the triangle is 90 m²

Explanation:

Given that the base of the triangle is 15 m

The altitude of the triangle is 12 m

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

Area=\frac{1}{2}bh

where b is the base and h is the altitude

Thus, we have,

b=15 and h=12

Substituting the values in the above formula, we get,

Area=\frac{1}{2}(15)(12)

Multiplying the terms, we get,

Area=\frac{180}{2}

Dividing, we get,

Area=90 \ m^2

Therefore, the area of the triangle is 90 m²

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If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.
Anestetic [448]

Answer:

4x^2 +8x + 16

Step-by-step explanation:

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

4x^2 + 8x +16

3 0
3 years ago
Can someone help me with this?
shutvik [7]
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5 0
3 years ago
Make a rational equations with the following requirements
Rufina [12.5K]

Answer:

f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}

Step-by-step explanation:

Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

f(x)=\dfrac{?}{(x-5)(x+5)}

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}

Now substitute the point (0, 4) and solve for A:

f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50

So final rational function:

f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}

4 0
3 years ago
Its about similar figures and scale drawing <br> No links
antoniya [11.8K]

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

6 0
3 years ago
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