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3 years ago

A park is 4 times as long as its wide. If the distance around the park is12.5kilometers, what is the are of the park

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

Let x be the width, length=4x
(4x+x)×2×2=12.5
20x=12.5
x=0.625
Length = 4×0.625=2.5
Area = 2.5×0.625= 1.5625 km square

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Which situation could the expression 1/4 ÷ 3 represent?

adoni [48]

Answer:

see the procedure

Step-by-step explanation:

The situation could be

Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?

Divide 1/4 by 3

$\frac{(1/4)}{3}=\frac{1}{12}\ pounds$

The weight of each part is $\frac{1}{12}\ pounds$

8 0

3 years ago

Find the unit vector in the direction of u = (-3,2).

DENIUS [597]

$\bf \textit{unit vector for }(a,b)\implies \left( \cfrac{a}{\sqrt{a^2+b^2}}~~,~~\cfrac{b}{\sqrt{a^2+b^2}} \right)\\\\
-------------------------------\\\\
(-3,2)\qquad \stackrel{unit~vector}{\implies }\qquad \left( \cfrac{-3}{\sqrt{(-3)^2+2^2}}~~,~~\cfrac{2}{\sqrt{(-3)^2+2^2}} \right)
\\\\\\
\left( -\cfrac{3}{\sqrt{13}}~~,~~ \cfrac{2}{\sqrt{13}}\right)\\\\
-------------------------------$

$\bf \textit{and now let's \underline{rationalize} the denominator for each}
\\\\\\
-\cfrac{3}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies -\cfrac{3\sqrt{13}}{13} \qquad \qquad \qquad \qquad \cfrac{2}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies \cfrac{2\sqrt{13}}{13}
\\\\\\
\textit{and written in \underline{ai+bj form}}\qquad -\cfrac{3\sqrt{13}}{13}i~~~~+~~~~\cfrac{2\sqrt{13}}{13}j$

7 0

3 years ago

An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance

lbvjy [14]

Answer: a) Unimodal and symmetric

b) 0.26

c) 0.038

Step-by-step explanation:

Given: Sample size of investors (n)= 131

True proportion of smartphone users(p) =26%

a) Since sampling distribution for the sample proportion is approximately normal when n is larger.

Normal distribution is Unimodal and symmetric.

So correct option : Unimodal and symmetric

b) mean of this sampling distribution = p = 0.26

c) standard deviation of the samplingdistribution = $\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}$

$=0.0383236518364\approx0.038$

6 0

3 years ago

Find the measure of angle C in the triangle below. (The figure is not drawn to scale.)

alisha [4.7K]

2x+4x-4=80
6x-4=80
6x=84
84/6=14
Angle c = 4 x 14= 56 - 4 = 52

Hope this helps.

6 0

3 years ago

Help me answer this question please

enot [183]

Figure D could be formed from the net.

(bottom right)

-Because-

The net says that the middle shape (the bottom face) is 14 long, and it is 8 tall. So the only option that makes sense is the bottom right!

<em>feel free to mark brainliest! :)</em>

5 0

3 years ago