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2 years ago

13

ABCD ~ EFGH

1 answer:

julsineya [31]2 years ago

5 0

$z=110$ $A$

is your final answer. Pls makr me brainiest

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The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the

Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0

3 years ago

Which equation represents the line that passes through points (2, 0) and (6, -8)?

aleksandr82 [10.1K]

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-8}{4}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{2})\implies y=-2x+4$

4 0

3 years ago

Round 0.198 to three decimal places

Crazy boy [7]

.198 is already rounded to three decimal places. If it had a number after the 8 that was greater than 5, it would be rounded to .199, though

3 0

3 years ago

Read 2 more answers

A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each day of the

Levart [38]

Answer:

Total = 686000 meters for 10 weeks 7 days a week.

Step-by-step explanation:

Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7

a = 8000

n = 10

d = 400

Sum = (a + L)*n/2

L = a + (n - 1)*d
L = 8000 + (10 - 1)*400
L = 8000 + 9*400
L = 8000 + 3600
L = 11600 meters

Sum = (8000 + 11600)*10/2

Sum = 19600 * 10/2

Sum = 98000 meters.

This total represents 1 training day a week.

The total amount is 7 times this figure.

Total = 7 * 98000 = 686 000 meters.

3 0

3 years ago

In a certain lake, trout average 12 in. in length with standard deviation 2.75 in. and the bass average 4 lb. in weight with sta

NISA [10]

Answer:

The bass fish was the better catch

Step-by-step explanation:

From the question we are told that

The population mean for trout is $\mu_1 = 12 \ in$

The standard deviation is $\sigma_1 = 2.75 \ in$

The population mean for base is $\mu _2 = 4 \ lb$

The standard deviation is $\sigma_2 = 0.8 \ lb$

The number of trout caught $x_1 = 18$

The number of bass caught $x_2 = 6$

Generally z-value(standardized value ) for the of number trout caught is mathematically represented as

$z_1 = \frac{x_1 - \mu_1}{\sigma_1 }$

substituting value

$z_1 = \frac{18 - 12}{2.75 }$

$z_1 = 2.18$

Generally z-value(standardized value ) for the of number bass caught is mathematically represented as

$z_2 = \frac{x_2 - \mu_2}{\sigma_2 }$

substituting value

$z_2 = \frac{6 - 4}{0.8 }$

$z_2 = 2.5$

From our calculation we see that $z_2 > z_1$

The fish that was the better catch is the bass fish

3 0

3 years ago