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3 years ago

А E E С D B If mZACD = 100°, then mZACE = [?]°

Mathematics

1 answer:

ad-work [718]3 years ago

5 0

Answer:

80 degrees

Step-by-step explanation:

a line is always 180 degrees

one side of that line is 100

so, just subtract 100 from 180

you get 80

180 - 100 = 80

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A cone has a radius of 9 and a height of 22. What is the approximate volume of the cylinder? Round to the nearest tenth where ne

ryzh [129]

Answer

Answer: Volume = 9025.8 cm³

Step-by-step explanation:

--------------------------------------------------------

Find Radius :

--------------------------------------------------------

Base area = πr²

169π = πr²

r² = 169

r = √169

r = 13 cm

--------------------------------------------------------

Find height :

--------------------------------------------------------

Height = 13 + 4

Height = 17 cm

--------------------------------------------------------

Find Volume :

--------------------------------------------------------

Volume = πr²h

Volume = π(13)²(17)

Volume = 9025.8 cm³

--------------------------------------------------------

Answer: Volume = 9025.8 cm³

--------------------------------------------------------

8 0

3 years ago

Daniel, my son, is exactly one fifth of my age. in 21 years time, i will be exactly twice his age. my wife is exactly seven time

nydimaria [60]

Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y

x = 5d (given in question)
∴ x - 5d = 0

x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21

We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:

3d = 21
∴ d = 7

This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.

y = 7j (given in question)
∴ y - 7j = 0

y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16

If we use a similar method of elimination we get this:

4j = 16
∴ j = 4

Hence, from this we can concur that daniel is 7 and jessica is 4.

3 0

3 years ago

In Washington county , 850 homes were sold in 2017 . How many homes was sold in the southwest region.

Semmy [17]

The number of homes sold in the Southwest region in 2017was <u>B. 102</u>.

<h3>What are Regional Sales?</h3>

Regional sales refer to the sales recorded by marketing and sales regions through which an organization distributes its products and services.

Recording sales by region helps management to determine regional managers' performances and contributions to the sales efforts.

<h3>Data and Calculations</h3>

Sales in Washington county:

Southeast = 48%

Southwest = 12%

Northwest = 25%

Northeast = 15%

Sales of homes in the Southwest region = 102 (850 x 12%)

<h3>Question Completion with Answer Options:</h3>

A. 1,020

B. 102

C. 588

D. 1,231

Thus, the homes sold in the Southwest region in 2017 were <u>B. 102</u>.

Learn more about analyzing regional sales at brainly.com/question/27026647

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5 0

2 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Aleks [24]

Answer:

Substitution

Step-by-step explanation:

The subtraction property of equality is when you subtract from both sides, they will still be equal. The multiplication property is the same thing but with multiplication.

7 0

3 years ago

Read 2 more answers

(TIME SENSITIVE PLEASE HELP) Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the p

Len [333]

The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.

<h3>What is the matrix?</h3>

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

We have vertices shown in the picture.

Form a matrix using the vertices:

$= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]$

To reflect over the x-axis, multiply by the reflection matrix:

$= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]$

$\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right]$

The above matrix represent the reflection matrix.

Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.

Learn more about the matrix here:

brainly.com/question/9967572

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4 0

2 years ago