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Phoenix [80]
3 years ago
5

Can someone please help me?

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0
\bf t=165x+2771\qquad 
\begin{cases}
x=\textit{years since 1996}\\
t=\textit{tuition average fees}\\
----------\\
t=5576
\end{cases}
\\\\\\
5576=165x+2771\implies 5576-2771=165x\implies 2805=165x
\\\\\\
\cfrac{2805}{165}=x\implies \boxed{17=x}\\\\
-----------------------------\\\\
1996+\boxed{17}\implies 2013
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Please show work. thank you!​
ioda

Answer:

\large\boxed{h=\dfrac{\sqrt{703}}{2}ft\approx13.26ft}

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=\dfrac{9}{2}ft\\\\hypotenuse=14ft\\\\leg=h

Substitute:

\left(\dfrac{9}{2}\right)^2+h^2=14^2

\dfrac{81}{4}+h^2=196                <em>multiply both sides by 4</em>

81+4h^2=784             <em>subtract 81 from both sides</em>

4h^2=703            <em>divide both sides by 4</em>

h^2=\dfrac{703}{4}\to h=\sqrt{\dfrac{703}{4}}\\\\h=\dfrac{\sqrt{703}}{\sqrt4}\\\\h=\dfrac{\sqrt{703}}{2}\\\\h\approx13.26

5 0
4 years ago
Need the answer to number 4
Dvinal [7]

Answer:

\sqrt{85} /2

Step-by-step explanation:

lets find hypotenuse( longest side) first

let other two samller sides be a and b and hypotenuse be c

pythagorsd theorem

a^2 + b^2 =c^2

9^2 + 2^2 =c^2

81 + 4=c^2

85 =c^2

\sqrt{85} =c

take theta as reference angle

cosec theta=hypotenuse/opposite

=\sqrt{85} / 2

5 0
3 years ago
Read 2 more answers
A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t
QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0
3 years ago
A=1/2h(B+b); a=6,b=2, b=1<br><br> What is h
alexdok [17]
A=(1/2)(h)(B+b)
(6)=(1/2)(h)((2)+(1))
12=h(3)
h=4

Answer: h=4
3 0
3 years ago
Please help with these
MatroZZZ [7]
Set up a proportion.

\frac{3~minutes}{2~questions} = \frac{x~minutes}{12~questions}

Cross multiply.

2x=36
x=12

It would take her 12 minutes.

-----------------------------------------

Formula for surface area of a cube: 6a² where a=20.

6 x (20)²
6 x 400
= 2400

Surface area: 2400 cm

----------------------------------------------

Mean absolute deviation: The average distance from each number in the set to the mean of the set.

Mean of the set: \frac{(3+8+10+12+15)}{5} =  \frac{48}{5} = 9.6

9.6-3=6.6
9.6-8=1.6
10-9.6=0.4
12-9.6=11.4
15-9.6=5.4

Mean of 6.6, 1.6, 0.4, 11.4, and 5.4: \frac{(6.6+1.6+0.4+11.4+5.4)}{5} =  \frac{25.4}{5} = 5.08
8 0
4 years ago
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