Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
224 cubes. Are needed 224 cubes with side lenghts of 1/4 cm to fill the prism.
The key to solve this problem is calculate the volume of both the cube and the prism.
Vcube = l³
Vprism = l*w*h
Where l is lenght, w is width, and h is height.
Vcube = (1/4 cm)³ = 1/64 cm³
Vprism = (2 cm)(7/4 cm)(1 cm) = 7/2 cm³
Calculating how many cubes does it takes to fill the prism:
Cubes = Vprism/Vcube = (7/2 cm³)/(1/64 cm³) = 448/2 = 224
Answer:
words per minute = 228/4
Carlos can type 57 words per minute.
Step-by-step explanation:
Answer:
x = 2; y = -9
Step-by-step explanation:
(1) 4x + 6y = -46
(2) -2x – 2y = 14 Multiply (2) by 2
(3) -4x - 4y = 28 Add (1) and (3)
2y = -18 Divide each side by 2
y = -9 Substitute into (2)
-2x – 2(-9) = 14
-2x + 18 = 14 Subtract 18 from each side
-2x = -4 Divide each side by -2
x = 2
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<em>Check:
</em>
(1) 4×2 + 6(-9) = -46
8 – 54 = -46
-46 = -46
(2) -2×2 – 2(-9) = 14
-4 + 18 = 14
14 = 14
