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Feliz [49]
3 years ago
13

What is the height of an isosceles trapezoid, if the lengths of its bases are 5m and 11m, and the length of a leg 4m? (Please sh

ow your work) Thank you!
Mathematics
1 answer:
Ivan3 years ago
7 0

We have been given the measure of two parallel sides as 11 m and 5 m. And we are given one of the slanted sides as 4 m.

From the given information, we can find the base of one of the side triangles as 3 m.

Therefore, upon using Pythagorean theorem, we get the set up for height as

h^{2}=4^{2}-3^{2}=7

h=\sqrt{7}

Therefore, height of the required figure is \sqrt{7} m

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45 cm<br> 60 om<br> What is the length of the hypotenuse?<br> centimeters?
ExtremeBDS [4]

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

5 0
2 years ago
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Scientific Notation is made up of two number parts. The second part is a power of base 10.
Aneli [31]

Answer:

Step-by-step explanation:

True

7 0
3 years ago
Find the value of x that makes this statement true
Brrunno [24]
\frac{(-2)^{5x-3}}{(-2)^{2x}} =(-2)^{21}

(-2)^{5x-3-2x}=(-2)^{21}  (The numerator and the denominator has same bases, therefore the powers will get subtracted. It is an exponential property)

(-2)^{3x-3}=(-2)^{21}

3x-3=21  (As the left hand side is equal to right hand side and the bases are on both the sides are equal too, we will equate their exponential power. Another property)

x-1=7

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4 0
3 years ago
7x+49=2x+94 solve for x
Illusion [34]

Answer: x=9

Step-by-step explanation:

7x=2x+45

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x=9

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3 years ago
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A mill processes 27 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if the rate of production s
Delvig [45]
There are a few ways you can go about solving this question. One way is to use the given information to find how many tons of flour can be processed in one hour. If 27 tons can be processed in 3 hours, we can do 27 divided by 3 to find that 9 tons of flour can be processed per hour. Then, if we want to see how many tons of flour can be processed in 8 hours, we can multiply 9 tons by 8 hours to get a total of 72 tons of flour.

I hope this helps.
5 0
3 years ago
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