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3 years ago

How can you use slope to determine whether the parallelogram is a rectangle?

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

Step-by-step explanation:

To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.

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A cheetah ran 275 feet in 3.23 seconds. How fast did the cheetah run in miles per hour? Round your answer to the nearest whole m

yawa3891 [41]

First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.

Then we do: 83.82m / 3.23s = 25.9504644 m/s.

Then we convert that into miles per hour by 2.23694, so we do:

25.9504644 * 2.23694 = 58.0496318.

Then we round it to 58 mph.

So the answer is: The cheetah was running at 58 mph.

Hope this helped! c:

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=-2%5Csqrt%7B18%7D%20%2B2%5Csqrt%7B2%7D" id="TexFormula1" title="-2\sqrt{18} +2\sqrt{2}" alt="-

UkoKoshka [18]

Answer:

- 4 $\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify $\sqrt{18}$ using this rule

$\sqrt{18}$

= $\sqrt{9(2)}$

= $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Then

- 2 $\sqrt{18}$ + 2 $\sqrt{2}$

= - 2(3 $\sqrt{2}$ ) + 2 $\sqrt{2}$

= - 6 $\sqrt{2}$ + 2 $\sqrt{2}$

= - 4 $\sqrt{2}$

5 0

3 years ago

PLEASE HElp asap Solve for x. x = [?] X + 19 7x + 9

Bess [88]

X + 19 + 7x + 9 = 180
8x + 28 = 180
8x = 180 - 28
8x = 152
X = 152 : 8
X = 19

3 0

3 years ago

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\

s2008m [1.1K]

Given:

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

In ΔKLM, using law of sine, we get

$\dfrac{k}{\sin K}=\dfrac{l}{\sin L}$

$\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}$

$k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}$

On further simplification, we get

$k=\dfrac{48\times 0.819152}{0.7193398}$

$k=\dfrac{39.319296}{0.7193398}$

$k=54.66025
$

Approximate the value to the nearest inch.

$k\approx 55
$

Therefore, the length of k is 55 inch.

4 0

3 years ago

Easy one - giving brainly if correct - show work.

Maksim231197 [3]

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

Your answer isnt wrong, I dont know why your teacher is saying it is.

4 0

3 years ago