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3 years ago

11

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.

What is the approximate width of her backyard?

2 answers:

irina [24]3 years ago

8 0

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

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butalik [34]3 years ago

3 0

Answer:

22.4 m

Step-by-step explanation:

I just took the exam

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3 years ago

You are doing annual inventory at the hardware store where you work. A box filled with brass connectors weighs 5 pounds 4 ounces

Georgia [21]

Answer:

304 brass connectors.

Step-by-step explanation:

We have been given that a box filled with brass connectors weighs 5 pounds 4 ounces. The box weighs 8 ounces when empty, and each connector weighs 0.25 ounces.

Since we know that 1 pound equals to 16 ounces.Let us convert weight of box filled with brass connectors from pounds to ounces.

$(5*16)+4=80+4=84$

Now we will find weight of brass connectors by subtracting weight of empty box from weight of filled box.

$84-8=76$

Let us divide 76 by 0.25 to find number of brass connectors in the box.

$\text{ Number of brass connectors in the box}=\frac{76}{0.25}$

$\text{ Number of brass connectors in the box}=304$

Therefore, there are 304 connectors in the box.

6 0

3 years ago

Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.

Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Where, v = speed

d = distance

t = time

Put the value into the formula

$v=\dfrac{160}{60}$

$v=2.66\ m/s$

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Put the value into the formula

$v=\dfrac{140}{60}$

$v=2.33\ m/s$

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0

3 years ago

Pls only do this if yk it because i’m giving correct answer brainliest! :))

Leno4ka [110]

Answer:

$x=2+\frac{1}{2}\sqrt[]{21}$

or

$x=2-\frac{1}{2}\sqrt{{21}$

Step-by-step explanation:

$4x^2-16x-26=-21$

Add 21 on both sides.

$4x^2-16x-26+21=-21+21$

$4x^2-16x-5=0$

a=4

b=-16

c=-5

$x=\frac{-b\frac{+}{}\sqrt[]{b^2-4ac} }{2a}$

$x=\frac{-(-16)\frac{+}{}\sqrt[]{(-16)^2-4(4)(-5)} }{2(4)}$

$x=\frac{16\frac{+}{}\sqrt[]{256+80} }{8}$

$x=\frac{16\frac{+}{}\sqrt[]{336} }{8}$

$x=\frac{16\frac{+}{}\sqrt[]{2^2*2^2*21} }{8}$

$x=\frac{16\frac{+}{}2*2\sqrt[]{21} }{8}$

$x=\frac{16\frac{+}{}4\sqrt[]{21} }{8}$

---------------------------------------------------------------------------

$x=\frac{16}{8}+\frac{4\sqrt[]{21}}{8}$

$x=2+\frac{1}{2}\sqrt[]{21}$

---------------------------------------------------------------------------

$x=\frac{16}{8}-\frac{4\sqrt[]{21}}{8}\\x=2-\frac{1}{2}\sqrt{{21}$

6 0

3 years ago

Read 2 more answers

Helppp ppleasee ??!!

madam [21]

Answer:

$(m^{4} + 5) - n^{3}$ = 85

Step-by-step explanation:

$(m^{4} + 5) - n^{3}$ given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

$(m^{4} + 5) - n^{3}$

$[(-2)^{4} + 5] - (-4)^{3}$

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

8 0

2 years ago

Read 2 more answers