Calculate the slope:<br> rise: 37<br> run: 63

The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t

emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1 and given area = 21

21 = (2w-1) * w

$21= 2w^2 - w$

subtract 21 on both sides

$0= 2w^2 - w - 21$

now solve for 'w'

$0= 2w^2 +6w -7w- 21$

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0 and w+3 =0

w = 7/2 w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0

3 years ago

Find angle sum therom

cluponka [151]

Answer:

y = 120°

Step-by-step explanation:

angles in a triangle add up to 180 degrees

180 - (87 +33) = 60

x = 60 degrees

angles on a straight line add up to 180 degrees

180 - 60 = 120

y = 120

4 0

3 years ago

Read 2 more answers

Rotate the given triangle 270°<br>counter-clockwise about the<br>origin.

Nezavi [6.7K]

Answer:

3

Step-by-step explanation:

3 0

2 years ago

Determine for each number whether it is a rational or irrational number.

ollegr [7]

In order:

irrational

rational

6 0

3 years ago

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months, and the failure times ar

Yuliya22 [10]

Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months.

This means that $\mu = 37, \sigma = 5$