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bogdanovich [222]
3 years ago
12

What is the equation of the line, in slope-intercept form, that passes through the point (6,−1) and is perpendicular to the line

y=2x−7?
A)y=2x+13
B)y=−12x+2
C)y=12x−4
D)y=12x+132

Mathematics
1 answer:
finlep [7]3 years ago
6 0

did you mean to put. y= -1/2x+2 for choice b? because that's what I got as a solution

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The sum of three consecutive odd integers is –87. What are the integers?
nirvana33 [79]
-30 -29 -28 is the correct answer



8 0
2 years ago
If you can solve all parts I will give brainliest (also give strategy)
Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is <u>18.2 inches</u>

Part b. The volume of the cone is 37\frac{1}{2}  \cdot \pi in.³

Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The area of the brim is found by <u>subtracting the area of the base of the cone from the area covered by the perimeter of the brim</u>

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

r = \dfrac{C}{2 \cdot \pi}

Which gives;

r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

  • The slant height, <em>s</em> ≈ <u>18.2 inches</u>

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h

Therefore;

V = \dfrac{1}{3} \times \pi \times 2.5^2 \times  18 = 37\frac{1}{2}  \cdot \pi

  • The volume of the cone, V = 37\frac{1}{2}·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, <em>A</em> = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

  • The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The procedure for solving the question in part c, is described as follows;

  • The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0
3 years ago
Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?
Anuta_ua [19.1K]

The correct statement is that the <u>range of the data is 9</u>

<h3>Range of a data</h3>

The formula for calculating the range of data is expressed as:

Range = Highest value - Lowest value

From the given data

  • Highest value = 20
  • Lowest value = 11

Substituting into the formula

Range = 20 - 11

Range = 9

Hence the correct statement is that the <u>range of the data is 9</u>

Learn more on range here: brainly.com/question/2264373

6 0
2 years ago
1 ) What is the difference between 3,002 and 577?
hodyreva [135]
1. 2425
2. 2089
......
8 0
3 years ago
Read 2 more answers
Work out 15% of £24 please
mylen [45]

Answer:

£3.6

Step-by-step explanation:

24 = 100% ; x = 15%

Let's make it simple

\frac{x}{24 } = \frac{15}{100}   ; x = 24.15/ 100 ; x=3.6

8 0
2 years ago
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