Simplify the expression below as much as possible. (9+81) + (4 - 7i) - (9-6i) O A. 4-5i O B. 4+9i O c. 4 + 21i O D. 4 + 7i

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

4 0

9514 1404 393

Answer:

D. 4 +7i

Step-by-step explanation:

Combine like terms.

(9 +8i) +(4 -7i) -(9 -6i) = (9 +4 -9) +(8 -7 -(-6))i = 4+7i

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A ladder 6.5 m long rests against a vertical wall. If the foot of the ladder is 2.5m from the foot of the wall find upto how muc

Burka [1]

Answer:

The ladder reaches a height of 6 m.

Step-by-step explanation:

Given that,

Height of the ladder, H = 6.5 m

The foot of the ladder is 2.5 m from the foot of the wall.

We need to find the height does the ladder reach. If we consider a triangle in which hypotenuse is 6.5 m, foot of the ladder is 2.5 m then we need to find the height of the ladder i.e.

$H^2=b^2+h^2\\\\h^2=H^2-b^2\\\\h^2=(6.5)^2-(2.5)^2\\\\h=6\ m$

The ladder reaches a height of 6 m.

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3 years ago

Angela makes a pillow in the shape of a wedge to use for watching tv. The pillow is 12 feet three squares of fluffy material

Hunter-Best [27]

Answer:

4 feet.

Step-by-step explanation:

Please consider the complete question.

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We know that a wedge is in form of triangular prism, so the volume of wedge will be equal to volume of triangular prism.

$\text{Volume of triangular prism}=\frac{1}{2}(\text{length}\times\text{ width}\times \text{Height})$