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2 years ago

8

Jackson is building a sandbox for his son. He needs to fill it with about 1 1 /2 feet of sand. If his sandbox is 4 feet by 2 fee

t and sand comes in bags that fill two cubic feet of space, how many bags will Jackson have to buy in order to fill his son’s sandbox?

1 answer:

zmey [24]2 years ago

4 0

Answer:

6 Bags

Step-by-step explanation:

Volume: LxWxH

L=4

W=2

H=1 1/2

8x 1/12= 12

12/2 = 6

Ans: 6 Bags

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from point a leah walked 40 yards south, 60 yards west, 10 yards north, and 20 yards east to point b. what is the length, in yar

nataly862011 [7]

Let's say $A = (0, 0)$ . Let's find point $B$ so that we can find $\overline{AB}$ .

Leah walks 40 yards south. $B = (0, 0 - 40) = (0, -40)$
Leah walks 60 yards west. $B = (0 - 60, -40) = (-60, -40)$
Leah walks 10 yards north. $B = (-60, -40 + 10) = (-60, -30)$
Leah walks 20 yards east. $B = (-60 + 20, -30) = (-40, -30)$

We have found that $B = (-40, -30)$ .

Now think about this scenario visually. We started at the center of something, which we call point $A$ , and then started moving around until we got to point $B$ . We can then form line $\overline{AB}$ between the points. However, realize that we can actually make a triangle. Just think of one of the legs as part of the x-axis and the other leg as part of the y-axis.

We can find the length of these parts, which is simply the absolute value of the coordinates of point $B$ . It may be a little hard to think about, but essentially, we can form a triangle with sides that consist of part of the x-axis, part of the y-axis, and $\overline{AB}$ . We also know that the lengths of the legs are 40 and 30.

Since we are given the two lengths of the legs on the triangle and trying to find the length of the hypotenuse, we can use the Pythagorean Theorem. This states:

$a^2 + b^2 = c^2$

$a$ and $b$ are the lengths two legs of the triangle
$c$ is the length of the hypotenuse

Thus, substituting in our values, we find:

$40^2 + 30^2 = (\overline{AB})^2$

$\overline{AB} = \sqrt{40^2 + 30^2} = \sqrt{2500} = 50$

The length of $\overline{AB}$ is 50.

5 0

3 years ago

Find the area of the composite shape

Alexxandr [17]

Answer:

$13.735$ $ft^{2}$

Step-by-step explanation:

Area of a circle.

$A=\pi r^{2}$

$r=d/2\\r=8/2\\r=4$

$A=\pi \times 4^{2}$

$A=16\pi$

$A \approx 50.2654824574$

Area of a square.

$A=s^{2}$

$A=8^{2}$

$A=64$

Subtract the area of the square with the area of the circle.

$64-50.2654824574$

$= 13.7345175426$

I hope it helps.

Brainliest much appreciated.

8 0

2 years ago

your turkey must cook for 5 & a half hours. You want to eat at 4 o'clock.It will take 15 minutes to carve the turkey. At wha

kkurt [141]

The turkey will go into the oven at about 10:15
hope ti helps
and choose brainliest answer

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2 years ago

Read 2 more answers

Please Help asap 40 points

tester [92]

Answer:

Step-by-step explanation:

34 to the 4

7 0

3 years ago

Jay estimates that a basketball weights about .5 pounds. Shawna estimates that a basketball weights about.05. Whose estimate is

Natasha_Volkova [10]

Answer:

Jay's estimate is closer to the actual weight of the basketball

Step-by-step explanation:

The standard weight of an NBA basketball is 1.4 pounds.

Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below

Error = (Standard value - Estimated value)/ Standard Value ×100

Error in Jays answer = $\frac{1.4 - 0.5}{1.4}$ × 100 = 64.28 %

Error in Shawna's answer = $\frac{1.4 - 0.05}{1.4}$ × 100 = 96.42%

From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.

8 0

2 years ago