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Anuta_ua [19.1K]
3 years ago
9

Pre Calculus:

Mathematics
2 answers:
Mademuasel [1]3 years ago
4 0

Answer:

(p-200)/30 that is the answer good luck

Gwar [14]3 years ago
3 0
Let n be a number of friends at the perty. If <span>dinner costs $30 per person, then it cost $30n for all friends.
</span>
Robert has booked a banquet hall which costs <span>$200, then his total expenses are $200+30n.
</span>
If the final bill is p, then p=<span>200+30n.
</span>
Answer: p=<span>200+30n.</span>

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3. A sign company is building a sign with the dimensions shown. What is the area, in square feet, of the sign? Round to the near
Aleks04 [339]

Answer:

84.87sq ft

Step-by-step explanation:

Let ABC be the triangle and  AD be the perpendicular on BC such that BD=DC=7ft.

Now, it is known that \frac{DC}{AC}=cos60^{0}

AC=\frac{7}{\frac{1}{2}}

AC=7ft

Now, in triangle ADC, we have

(AC)^{2}=(AD)^{2}+(DC)^{2}

(14)^{2}=(AD)^{2}+(7)^{2}

196-49=(AD)^{2}

AD=12.12ft

Now, area of the triangle=\frac{1}{2}{\times}b{\times}h

=\frac{1}{2}{\times}14{\times}12.12

=84.87sq ft

Thus, area of the building is 84.87sq ft.

8 0
2 years ago
What is the slope of the graph y = -25x - 42?​
sweet [91]
-25x is the slope
-42 is the y-intercept
5 0
2 years ago
Read 2 more answers
What is the points for C on the graph?
qaws [65]
The points for C is (12, 10.5)
5 0
2 years ago
Read 2 more answers
Find the area of the trapezoid. Answer without units.
Leto [7]

Answer:

180

Step-by-step explanation:

Since the type of trapezoid is not listed, I cannot really explain, sorry :/

5 0
3 years ago
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

8 0
3 years ago
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