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2 years ago

Simplify the following 8*7-10+55

Mathematics

1 answer:

yarga [219]2 years ago

7 0

Answer:

101

Step-by-step explanation:

8*7 -10+55.

First, multiplication.

8*7 is 56.

56-10+55

56-10 is 46.

46+55 is 101.

Hope this helps plz hit the crown :D

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In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

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Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

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3 years ago

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Answer:

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Step-by-step explanation:

This question is a simultaneous equation

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Substrate (2) From (3)

4x=8

Let's make x the subject of formula by dividing both sides by 4

x=2

So let's substitute the value of x into (1)

3x+y=8

3(2)+y=8

6+y=8

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2 years ago

A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in

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Step-by-step explanation:

We know that the speed of the boat is:

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Then we have the equation:

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Umnica [9.8K]

Answer:

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1 year ago

Simplify the following 8*7-10+55​

Simplify the following 8*7-10+55