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ValentinkaMS [17]
3 years ago
12

30=2y+16 simplify your answer as much as possible

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

y=7

Step-by-step explanation:

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In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
lesya692 [45]

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:

\displaystyle 5 k = 4

Solve for the scale factor <em>k: </em>

<em />\displaystyle k = \frac{4}{5}<em />

<em />

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2

In conclusion, the area of ΔEDF is 9.6 square inches.

5 0
3 years ago
Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth
AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

Width = 5ft

Length = 4ft

Height = 8ft

The second has the following dimension:

Width = 3ft ---- see the last label at the top

Length = 2ft --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

Height = 8ft

So: The volume of the closet is:

Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2

Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft

Volume = 160ft^3 + 48ft^3

Volume = 208ft^3

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

Boxes = \frac{208ft^3}{32ft^3}

Boxes= \frac{208}{32}

Boxes = 6.5

7 0
3 years ago
The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35
Natasha2012 [34]

32 kilometers + 35 kilometers + 17 kilometers

= 67 kilometers + 17 kilometers

= 84 kilometers

#LearnWithEXO

7 0
3 years ago
Read 2 more answers
PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
seropon [69]

Answer:

radius and number rotation

4 0
2 years ago
Using the equation shown below calculate the q value of vertex?<br><br> y= 2x2square +4x -9
Ugo [173]

Answer:

The vertex is (-1,-11).

Step-by-step explanation:

I don't know what the q value of this is, but I found the vertex for you.

I hope that this helps!

6 0
4 years ago
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