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3 years ago

2. Eleanor Raymond works full time while her husband, Peter, attends college and works part

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

Answer:

Eleanor and Peter's total income

= $597.63

Step-by-step explanation:

Eleanor's Income:

Paycheck = $380.48

Eleanor's Expenses:

Birthday gift= $16.50

Peter's income

Paycheck = $120

Sales of his college textbook = $13.65

Check from Peter's father= $100

Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father

= $120 + $13.65 + $100

= $233.65

Eleanor and Peter's total income

= Eleanor's Income + Peter's total income - Eleanor's Expenses

= $233.65 + $380.48 - $16.50

= $597.63

Eleanor and Peter's total income

= $597.63

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Without using a calculator, choose the statement that best describes the value of the square root of 46

allochka39001 [22]

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

√49 = 7

Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

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3 years ago

Two lines that lie in parallel planes are

Alchen [17]

Answer: Parallel.

Two or more lines that lie in the same plane and never intersect. Parallel lines will always have the same slope. Skew lines are lines that are in different planes and never intersect. A transversal is a line that intersects two other lines.

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3 years ago

Use the geometric mean theorems to find AC and BD. BA=20 BC=15

kiruha [24]

Step-by-step explanation:

first, you use the pythagorean theorem to find the missing side of the original and big triangle.

$20 {}^{2} + 15 {}^{2}$

next, you simplify these into actual numbers

$400 + 225$

after, you add these numbers together and find the square root.

$\sqrt{625} = 25$

you have the answer for AC. next you need to find BD. of you line up BC with BD, BC would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for BD- that's just me- but I'm not sure how to exactly find it.

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3 years ago

Can someone please help me asappp I’ll mark brainlist !!!

DanielleElmas [232]

Answer:

D. y = 76x

Step-by-step explanation:

First you find the gradient, by using the gradient formula

rise over run

380 - 228

---------------- <- division sign

5 - 3

152/2 = 76

Hence y = 76x + c

Find c by subbing points in. I am going to use this as an example (5, 380)

380 = 76(5) + c

380 -380 = c

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3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumferen

Andreas93 [3]

Answer:

The volume of the cone-shaped sculpture is equal to 114.631 ft³.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Circumference Formula:
$\displaystyle C = 2 \pi r$

r is radius

Volume Formula [Cone]:
$\displaystyle V = \frac{\pi r^2 h}{3}$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify given.

h = 8 ft

C = 23.236 ft

Step 2: Find Radius r

[Circumference Formula] Substitute in variables:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\\end{aligned}$
Solve [Equality Properties]:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\& \rightarrow r = 3.7 \ \text{ft} \\\end{aligned}$

Step 3: Find Volume

[Volume Formula - Cone] Substitute in variables:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\& \rightarrow V = \boxed{ 114.631 \ \text{ft}^3 } \\\end{aligned}$

∴ the volume of the artist-created sculpture is 114.631 ft³.

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Learn more about Geometry: brainly.com/question/27732359

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Topic: Geometry

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2 years ago