Hiroto's texting plan costs $20 per month, plus $0.05 per
2 answers:
The question is incomplete:
Hiroto's texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia's plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
A. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
B. Both plans cost the same when 22 texts are sent.
C. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
D. Both plans cost the same when 50 texts are sent.
THE GRAPH IS ATTACHED.
Answer:
D. Both plans cost the same when 50 texts are sent.
Explanation:
The answer is that both plans cost the same when 50 texts are sent as both lines intersect in 50 texts with a price of $22.5 which means that they cost the same.
The other options are not right:
-Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent. This is not true because in the graph you can see that after 50 texts Emilia's line is higher which indicates that her plan has a higher costs.
-Both plans cost the same when 22 texts are sent. This is not true because the lines don't intersect at the same point when 22 texts are sent.
-Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent. This is false because when 22 texts are sent Emilia's plan costs around $15.5 and Hiroto's plan costs around $21 and Hiroto's plan is more expensive until they reach 50 texts that is the only point where they cost the same.
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Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
(1)
Where:
- Area.
- Base.
- Height.
The base and height of the parallelogram are, respectively:
Base
Height
Then, the area of the parallelogram is:
The area of the paralellogram is 24 square units.
Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° = , then letting the altitude be h
tan60° = =
=
( multiply both sides by h )
11 = h ×
( divide both sides by
)
11 = h
using the sine ratio in the triangle on the left and the exact value
sin45° = , then
sin45° = =
=
=
( cross- multiply )
× x = 22
( divide both sides by
)
x = 22