Answer:
1428 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is 
, where V represent volume, l is the length, w is the width, and h is the height.
You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.
Solve.
V = 12 * 7 * 17
V= 1428 in³
Answer:
Step-by-step explanation:
1.
2. q-p = 3p +5
q = 4p+5
4p = q-5
p = (q-5)/4
3. y = 2a -b
Answer:x = 21
Explanation:In a parallelogram, each two opposite angles are equal.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.
Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21
We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal
Hope this helps :)
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
1992.1875
1500/64000= 0.0234375
0.0234375 x 85000=1992.1875
