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Sonja [21]
3 years ago
13

Find the area of the trapezoid.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

\large\boxed{A=54\ m^2}

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdor h

<em>b₁, b₂</em> - <em>bases</em>

<em>h</em><em> - height</em>

We must use the Pythagorean theorem:

x^2+8^2=10^2

x^2+64=100              <em>subtract 64 from both sides</em>

x^2=36\to x=\sqrt{36}\\\\x=6\ m

We have <em>b₁ = 6 + 6 = 12m</em>, <em>b₂ = 6m</em> and <em>h = 8m</em>.

Substitute:

A=\dfrac{12+6}{2}\cdot6=\dfrac{18}{2}\cdot6=(9)(6)=54\ m^2

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Answer:

5 × \frac{1}{100}

Step-by-step explanation:

4*100+2*10+3*1+6*\frac{1}{10}+x+9*\frac{1}{1000}=423.659\\4*100+2*10+3*1+6*0.1+x+9*0.001=423.659\\400+20+3+0.6+x+0.009=423.659\\423.609+x=423.659\\x=0.05\\\\50*\frac{1}{10}=5\\\\5*\frac{1}{100}=0.05\\\\50=50\\\\5*0.05=0.25

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2 years ago
HELP!!
WITCHER [35]

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.

<h3>What is a triangle?</h3>

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

Triangle is a very common figure to deal with in our daily life.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠A +  m∠B +  m∠C = 180°

m∠C = 180° - 58° -  44°

m∠C = 78°.

The exterior angle of C = 180- 78 = 102°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".

For more about triangles,

brainly.com/question/2773823

 

#SPJ1

 

5 0
1 year ago
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Last math question.
siniylev [52]

Answer:

<h2>y = 5x + 11</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================

\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11

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Step-by-step explanation:

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