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3 years ago

Write (3 − 7i) − (-11 + 5i) as a complex number in standard form.

1 answer:

7 0

The answer would be A) 14 - 12i

Simplify ( 3 - 7i + 11 - 5i )

Gather like terms ( 3 + 11 ) + ( -7i - 5i )

Simplify ( 14 - 12i ).

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Question 7 (Worth 5 points)

svet-max [94.6K]

Answer:

$20.60

Step-by-step explanation:

$25.75 x 20% = $5.15

$25.75 - $5.15 = $20.60

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3 years ago

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if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

tresset_1 [31]

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

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3 years ago

The roof of a house is the shape of an isosceles right triangles as shown in the diagram below. What is the height of the roof ,

matrenka [14]

What diagram? Where's the diagram?

6 0

3 years ago

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Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f

arsen [322]

Answer:

1. Area of rectangular rug is $110 ft^{2}$

2. Area of triangular room is $330ft^{2}$

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A = ?

Length l = 11 ft

Width w= 10 ft

we know that the area of a rectangle is expressed as

$Area=Length * Width$

substituting our given data we have

$Area= 11*10\\Area= 110 ft^{2}$

step two

let us solve for the area of the triangular room

given data

Area A = ?

base b = 30 ft

height h= 22 ft

we know that the area of a triangle is expressed as

$Area= \frac{1}{2} *base* height\\$

substituting our given data we have

$Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}$

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3 years ago

The events committee buys 100 flowers for a school dance the flowers are a combination of carnations an roses. Each carnation co

Natali5045456 [20]

Answer:

We don't know the price of the roses, so there is not enough information to answer.

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3 years ago