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STALIN [3.7K]
3 years ago
11

-3 < 5c + 7 < 22 algebra

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:=

Solution: -2<c<3

Interval Notation: (-2,3)

Step-by-step explanation:

-3<5c+7<22

-3<5c+7  :  c>-2

5c+7<22 : c<3

combine the intervals

c>-2 and c<3

-2<c<3

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Right triangles and trigonometry help!
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Step-by-step explanation:

sin \: 45 \degree =  \frac{39}{z}  \\  \\  \therefore \:  \frac{1}{ \sqrt{2} }  =  \frac{39}{z}   \\  \\  \therefore \: z = 39 \sqrt{2}  \\ let \: p \: be \: the \: perpendicular \:  \\  \\\therefore \: tan \: 45 \degree =  \frac{39}{p}  \\  \\ \therefore \:1 = \frac{39}{p}  \\  \\ \therefore \:p = 39 \\  \\ sin \: 60 \degree =  \frac{39}{x}   \\  \\ \therefore \:  \frac{ \sqrt{3} }{2} =  \frac{39}{x}  \\  \\ \therefore \: x =  \frac{78}{ \sqrt{3} }  \\  \\ \therefore \: x =  \frac{78 \sqrt{3} }{ 3 }  \\  \\ \therefore \: x =  26 \sqrt{3} \\\\tan\: 60 \degree =  \frac{39}{y}   \\  \\ \therefore \:  \sqrt{3}  =  \frac{39}{y}  \\  \\ \therefore \: y =  \frac{39}{ \sqrt{3} }  \\  \\ \therefore \: y=  \frac{39 \sqrt{3} }{ 3 }  \\  \\ \therefore \: y =  13 \sqrt{3} \\

5 0
3 years ago
The functiong(x)is graphed below.
gregori [183]
Pstepstep by step ok
5 0
3 years ago
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
tester [92]

Answer:

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8 0
3 years ago
the length of a rectangle is 6in.more than than its width .Its area is 50 sq.in Find the width of the rectangle....
yulyashka [42]
L=6+W
A=LW
sub 6+W for L
A=(6+W)(W)
expand
oh, A=50
50=W²+6W
minus 50 both sides
0=W²+6W-50
we gots to use quadratic formula
for
aW²+bW+c=0
W=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
we got
a=1
b=6
c=-50


W=\frac{-(6)+/- \sqrt{(6)^2-4(1)(-50)} }{2(1)}
W=\frac{-6+/- \sqrt{36+200} }{2}
W=\frac{-6+/- \sqrt{236} }{2}
W=\frac{-6+/- 2\sqrt{59} }{2}
W=-3+/- \sqrt{59}

W=-3+ \sqrt{59} or W=-3- \sqrt{59}
aprox
W=-10.6811 or W=4.68115
can't be negative width

width=4.68115 or -3√59
7 0
3 years ago
If n ll m, find the value of x and the value of z.
aliina [53]
Answer: A

Explanation: the two triangles are proportional, so find the “proportion” between the two sides
12/4=3
3*3=9
3z=6
7 0
3 years ago
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