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Sloan [31]
3 years ago
7

a cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord of wood in cubic feet?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0
To find the volume of a rectangular prism, like this one, we take the measure of the Width, Length, and Height and multiply them together. So the answer is: 4*4*8. 4*4=16, and 16*8=128, so the answer is 128 Cubic Feet.
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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
Can anyone help me with this question?
Andreyy89

Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}

Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

y = 180 - (60+40)

y = 180° - 100°

= 80°

6 0
3 years ago
Jeff wants to know how many miles it is from his house to school. On a map the distance is 3 inches. If the scale is 1/2 inch fo
frez [133]

Answer:

12 miles

Step-by-step explanation:

1/2 inch per 2 miles

3 inches away

3 ÷ 1/2 = 6

6 * 2 = 12

8 0
3 years ago
Which line plot displays a data set with an outlier?<br>giving out 20 points and please no gussing
choli [55]

Answer:

the one on the bottom left, with 23 all by its lonesome

Step-by-step explanation:

3 0
2 years ago
Donna is running a track it takes her 10 minutes to run 6 laps if she keeps running at the same speed how long will it take her
kaheart [24]
To solve this problem we can make a proportion.
6      5
-- = ---
10    x

to solve this proportion we can cross multiply and divide.
5 times 10 is 50.  divided by 6 is 8.3
it will take her 8.3 minutes to run 5 laps
7 0
3 years ago
Read 2 more answers
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