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Airida [17]
3 years ago
11

If a pyramid with a square base has a volume of 600 cubic feet and the base area is 40 square feet, what is the height of the py

ramid? A. 60 ft B. 50 ft C. 15 ft D. 45 ft
Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0
I believe it is D. 45 ft
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Find the distance between points P(3, 4) and Q(4, -6) If necessary round to the nearest hundredth.
Andrei [34K]

Answer:

10.05 units

Step-by-step explanation:

We can find the distance between these points using the distance formula. The distance formula is:

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

We know that x1 is 3, x2 is 4, y1 is 4, and y2 is -6, so we can substitute inside the equation.

\sqrt{(4 - 3)^2 + (-6 - 4)^2} \\\\\sqrt{1^2 + -10^2} \\\\\sqrt{1 + 100} \\\\\sqrt{101} \\\\\approx10.05

Hope this helped!

7 0
3 years ago
Which of the points shown below are on the line given by the equation
777dan777 [17]
Point B and Point D are on the line
7 0
4 years ago
Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from
Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

\frac{TD}{sin(P)}=\frac{TP}{sin(D)}

substitute the given values

\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}

TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0
3 years ago
Find the slope of this line: (15,7) (3,-2)<br><br> Help
Oliga [24]

Answer:

m=\frac{3}{4}

Step-by-step explanation:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)

m=\frac{-2-7}{3-15}

\mathrm{Refine}

m=\frac{3}{4}

5 0
3 years ago
How many seconds equals 4.2 hours?<br><br> Enter your answer in the box.<br><br> ___s
sergiy2304 [10]
4.2× 3600 = 15120 seconds
8 0
3 years ago
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