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OLga [1]
3 years ago
5

Write an equivalent expression to the expression below 17 times 93 and 17 times 97

Mathematics
1 answer:
Fantom [35]3 years ago
6 0
17 * 39 = 331.5 * 2 

17 * 97 = 824.5 * 2
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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
Find the slope of a ski run that descends 15 feet for every horizontal change 24 feets
Diano4ka-milaya [45]

Answer: 5/8


Step-by-step explanation:


Slope is determined by dividing the amount of vertical movement by the amount of horizontal movement and then simplifying the answer. In this case it is 15/24. To simplify you need to find the least common denominator (LCD), which is 3, and divide both numbers by it. 15/3=5 and 24/3=8, so the answer is 5/8.


7 0
3 years ago
Which unit would you most likely use to represent the time it takes to drive to your friend's house, which is five miles from yo
Leokris [45]

Answer:

C. minutes

Step-by-step explanation:

8 0
2 years ago
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What is 69*773 I just need some help getting the answer?
mixer [17]

Answer:

53,337

Step-by-step explanation:

4 0
3 years ago
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What fraction of an hour is 56 minutes?<br> Give your answer in its simplest form.
d1i1m1o1n [39]

Answer:

\frac{14}{15}

Step-by-step explanation:

There are 60 minutes in an hour, thus

56 minutes = \frac{56}{60} of an hour

To simplify divide 56 and 60 by 4

56 minutes = \frac{14}{15} ← in simplest form

5 0
3 years ago
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