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Gnesinka [82]
3 years ago
6

8^(c+1)=16^(2c+3) solve the inequality please show work

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

Step-by-step explanation:

8^{c+1}=16^{2c+3}\\(2^{3} )^{c+1} =(2^{4}) ^{2c+3} \\2^{3(c+1)} =2^{4(2c+3)} \\3(c+1)=4(2c+3)\\3c+3=8c+12\\8c-3c=3-12\\5c=-9\\c=-\frac{9}{5}

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The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area
Damm [24]

Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.

8 0
3 years ago
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Lisa [10]

Answer:

The third exterior angle is 103^o

Step-by-step explanation:

Given

\theta = 158^o

\alpha = 99^o

Required

The third exterior angle (\beta)

The exterior angles of a triangle add up to 360 degrees.

So:

\theta + \alpha + \beta = 360^o

Make \beta the subject

\beta = 360^o - (\theta + \alpha)

Substitute known values

\beta = 360^o - (158^o + 99^o)

\beta = 103^o

4 0
3 years ago
Pam made 1/2 gallon of tea for 10 people. Each person gets the same amount of tea. How much tea, in gallons, will each person ge
OverLord2011 [107]
You just divided 1/2 (.5) by 10 which is .05. so the answer is 0.05 gallons
6 0
3 years ago
Anyone helppp meee please ....
borishaifa [10]
Yep, this one seems sneaky and confusing.  But it's not so bad if you remember the things you learned about parallel lines.  (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

angle-A = 120 - 65 = <u>55 degrees</u>.
4 0
3 years ago
How can the bar symbol be used to show the quotient of 7÷11 if the division is carried on forever?
Thepotemich [5.8K]

\bf 7\div 11\implies 0.636363636363636........\implies 0.\overline{63}

4 0
3 years ago
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