Answer:
Step-by-step explanation:
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Answer:
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Step-by-step explanation:
<u><em>The correct question is </em></u>
Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?
Let
x ----> the number of cards that Frank has
y ----> the number of cards that his friend has
we know that
Together they have 42 cards
----> equation A
Frank has 6 more than half the number of cards as his friend
---> equation B
Solve the system by substitution
Substitute equation B in equation A
solve for y
<em>Find the value of x</em>
therefore
The number of cards Frank has is 18 and the number of cards his friend has is 24.
A unicycle has 1 wheel. u unicycles have u wheels.
A bicycle has 2 wheels. b bicycles have 2b wheels.
In u unicycles and b bicycles, there are a total of
u + 2b wheels.
We are told there are 28 wheels, so u + 2b must equal 28.
The answer is choice C. u + 2b = 28
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
46.95 in.²
Step-by-step explanation:
Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H
Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²
Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.
Height of prism (H) = 10 in.
Plug in the values
Surface area = 1.95 + 4.5*10 = 46.95 in.²
