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2 years ago

8

Select all expressions that are equivalent to 64.

1 answer:

ikadub [295]2 years ago

5 0

For 64 it’s A. , C. , D. and for 3 it’s D. and F

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The area of a square is 16 square units. Since 42 = 16 and (-4)2 = 16, both 4 and -4

Elodia [21]

It is true that (-4)^2 = 16; however, it doesn't make sense to have a square with a negative side lengths. Lengths and distances must be positive numbers.

So in many problems, we'll just ignore the negative solution to equations like x^2 = 16. It makes sense to only consider x = 4 for situations like this.

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Ostrovityanka [42]

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If a person can carry 40 pounds, and a group of people want to carry 86 pounds of stuff, how many people are necessary to carry

aliina [53]

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2 years ago

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The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian

natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

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3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opp}{hyp}$ = $\frac{opp}{19}$ = $\frac{1}{2}$ ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

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Shortest side in the triangle is 9.5 cm

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2 years ago