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The annual rainfall (in inches) in Western Colorado is modeled by a distribution with the following cumulative distribution func

kirill115 [55]

Stanky chesse Sandwich Ummmm

8 0

3 years ago

What seems to always be true about the height of the triangle?

ivann1987 [24]

Answer:

The height of the triangle is always the measurement of a line (often shown as dashes) that is perpendicular to the base and extends to the opposite angle at the top of the triangle.

If it is a right triangle, and the right angle is at the bottom, the side extending up from the right angle will be the height. But this is not always the case.

3 0

3 years ago

Quinn is building an enclosed pen in his backyard he wants the perimeter to be no more than 50 feet he also wants the length to

ycow [4]

Answer:

Option B width = 5 feet and length = 12 feet

The solution in the attached figure

Step-by-step explanation:

The options of the questions are

Which combination of width and length will meet Quinn’s requirements for the pen?

A. width = 7 feet and length = 20 feet

B. width = 5 feet and length = 12 feet

C. width = 15 feet and length = 10 feet

D. width = 11 feet and length = 15 feet

Let

x -----> the length of the enclosed pen in feet

y-----> the width of the enclosed pen in feet

we know that

The perimeter is equal to

$P=2(x+y)$

In this problem

$2(x+y)\leq 50$

Simplify

$(x+y)\leq 25$ ----> inequality A

$x\geq y+5$ ---> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure N 1

Remember that

The values of x and y cannot be a negative number

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

Verify each case

case A) width = 7 feet and length = 20 feet

so

For y=7, x=20

Check inequality A

$(20+7)\leq 25$

$(27)\leq 25$ ----> is not true

therefore

This combination of width and length will not meet Quinn’s requirements for the pen

case B) width = 5 feet and length = 12 feet

so

For y=5, x=12

Check inequality A

$(12+5)\leq 25$

$(17)\leq 25$ ----> is true

Check inequality B

$12\geq 5+5$

$12\geq 10$ -----> is true

therefore

This combination of width and length will meet Quinn’s requirements for the pen

case C) width = 15 feet and length = 10 feet

so

For y=15, x=10

Check inequality A

$(10+15)\leq 25$

$(25)\leq 25$ ----> is true

Check inequality B

$10\geq 15+5$

$10\geq 20$ -----> is not true

therefore

This combination of width and length will not meet Quinn’s requirements for the pen

case D) width = 11 feet and length = 15 feet

so

For y=11, x=15

Check inequality A

$(15+11)\leq 25$

$(26)\leq 25$ ----> is not true

therefore

This combination of width and length will not meet Quinn’s requirements for the pen

Note If the ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area

see the attached figure N 2 to better understand the problem

6 0

4 years ago

Julie made $22,$55,$38 and $25 babysitting.How much did she make babysitting

Leno4ka [110]

She made $140 Dollars Babysitting

8 0

4 years ago

Read 2 more answers

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

dalvyx [7]

The standard form is given as Ax+By =C

we are given points (-8,0) and (1,5)

let us first find the slope here

$slope = \frac{y2-y1}{x2-x1}$

$slope = \frac{5-0}{1-(-8)}$

slope=5/9

now using the equation (y-y1)=m(x-x1)

(y-0)=5/9(x+8)

9y=5x+40

9y-5x=40 is the standard form of the line that passes through given points

7 0

3 years ago