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4 years ago

What would be the slope of a line perpendicular to y=2x + 1 be?

1 answer:

3 0

The slope of the given line is 2.

The slope of the line perpendicular to the given line is the negative reciprocal of 2 or -1/2.

Answer: -1/2

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Determine the values of X, Y and Z on the following number line: HH X -11 Y 9 Z

Dmitrij [34]

-11 y 17 with z and x on the line

3 0

3 years ago

Jim borrows $2,500 from his bank. The loan has a 5.4% annual simple interest rate. If it takes Jim two years to pay back the loa

riadik2000 [5.3K]

2500(.054)(2) = 270

270+2500=2770

The total amount he would pay is $2770

Happy to help,
~BP98

4 0

4 years ago

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

s2008m [1.1K]

Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

Find the area of the bottom base of the crayon

$A=\pi[r2^{2}-r1^{2}]$

where

r2 is the radius of the cylinder

r1 is the radius of the cone

substitute

$A=\pi[1.5^{2}-1^{2}]$

$A=1.25\pi\ cm^{2}$

Find the area of the top base of the cylinder

$A=\pi(1.5)^{2}=2.25\pi\ cm^{2}$

Find the surface area

$SA=2\pi+36\pi+2.25\pi+1.25\pi=41.50\pi\ cm^{2}$

8 0

3 years ago

Read 2 more answers

Mina drew 15hearts,6stars and 16 circles.What is the ratio of stars to hearts to circles?

GenaCL600 [577]

answer

6:15:16

step-by-step explanation

the ratio of stars to hearts to circles is stars:hearts:circles

plug in 6 for stars, 15 for hearts, and 16 for circles

6:15:16

since these do not have a common factor, this is your final answer

7 0

3 years ago

Read 2 more answers

Which distributive property gives the same answer as 7(99)?

Makovka662 [10]

Answer:

7(100-1)

Step-by-step explanation:

That's it right there

6 0

3 years ago