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MariettaO [177]
3 years ago
15

A line is graphed in the coordinate plane and two slope triangles are shown

Mathematics
1 answer:
aniked [119]3 years ago
3 0
If you could post the picture I can help
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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

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

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
What interest will be charged on a $300 loan for 6 months if the rate is 18% simple interest?
Yakvenalex [24]

Answer: 540.00

Step-by-step explanation:

4 0
3 years ago
about 7.5 gallons of water fill up 1 cubic foot of space. how many gallons of water will fill a goldfish pool shaped like the pr
Murrr4er [49]
The volume of the <span>goldfish pool is V= 0.5ft x 1.5ft x 3ft=2.25 ft^3
so 7.5gallons ----------> 1 ft^3
                x=? <----------- </span>2.25 ft^3
<span>x= 2.25 x 7.5 / 1= 16.87 gallons
the answer is </span>16.87 gallons of water <span>

</span>
3 0
3 years ago
I NEED AN ANSWER PLEASE!
Nata [24]

Answer:

1×-5= -5squared =25+(4×-4squared)=25+(-16)=9

7 0
2 years ago
What is the simplified answer of “One less than X is less than -1 OR 3 more than X is greater than or equal to 7.” This is solvi
blsea [12.9K]
x - 1 \ \textless \  -1 OR x + 3  \geq 7
5 0
3 years ago
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