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DENIUS [597]
3 years ago
12

Solve the equation -2(5x+1)>48

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
-2(5x+1)>48
(5x+1)<-96
5x<-97
x<-19.4
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Find the surface area of the triangular prism
melomori [17]

Answer:

608 ft²

Step-by-step explanation:

<u>1) Find the area of the bases</u>

A=\frac{1}{2} bh where b is the base length and h is the height

Plug in b and h

A=\frac{1}{2} (12)(8)\\A=48

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

<u>2) Find the area of the two sides facing up</u>

A=lw where l is the length and w is the width

Plug in l and w

A=10*16\\A=160

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

<u>3) Find the area of the bottom side</u>

A=lw where l is the length and w is the width

Plug in l and w

A=12*16\\A=192

Therefore, the area of this side is 192 ft².

<u>4) Add all the areas together</u>

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0
3 years ago
Read 2 more answers
Explain how to use the vertex and the value of “A” to determine the range of an absolute value function. PLEASE HELP!!
Thepotemich [5.8K]

Answer:

First, a absolute value function is something like:

y = f(x) = IxI

remember how this work:

if x ≥ 0, IxI = x

if x ≤ 0, IxI = -x

Notice that I0I = 0.

And the range of this function is all the possible values of y.

For example for the parent function IxI, the range will be all the positive reals and the zero.

First, if A is the value of the vertex of the absolute function, then we know that A is the maximum or the minimum value of the function.

Now, if the arms of the graph open up, then we know that A is the minimum of the function, and the range will be:

y ≥ A

Or all the real values equal to or larger than A.

if the arms of the graph open downwards, then A is the maximum of the function, and we have that the range is:

y ≤ A

Or "All the real values equal to or smaller than A"

5 0
3 years ago
The Shirt shop sold 15 tshirts. Of the
Sidana [21]

Answer:

12

Step-by-step explanation:

1/5 of 15 is 3. 3 shirts are grey. 15-3 is 12. 12 t shirt are white.

8 0
3 years ago
A tractor-trailer travels 205.296 miles in 3.12 hours. What is the speed at which the tractor-trailer is traveling?
yarga [219]
Speed=distance/time
distance=205.296
time=3.12

speed=205.296/3.12=65.8

answer is 65.8 miles per hour
3 0
3 years ago
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Is the number given a solution to the equation?<br> c = 2c - 4; 8
Sveta_85 [38]
No i dint think it is 2×8-4=12 and 8 is not equal to 12 :)
6 0
3 years ago
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