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ludmilkaskok [199]
3 years ago
6

A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat th

at adds 1 inch to each side of the length and the width. What is the area of the mat?
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

207 inches

Step-by-step explanation:

23*9=207

notka56 [123]3 years ago
4 0

Answer:

23 inches long by 9 inches wide.

Step-by-step explanation:

if the mat add one inch to the sides then just add one to the measurements.

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When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0
3 years ago
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maxonik [38]

Answer:

no solution

Step-by-step explanation:

1.4-5-2-3=7-6

2.-1-2-3=7-6

3.-3-3=7-6

4.-6=7-6

5.-6=1

6.since -6=1 is false, there's no solution

4 0
3 years ago
What are alternate exterior
vichka [17]
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: ... Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
5 0
3 years ago
Four friends go to the movies and pay $11 per ticket. They also each buy a snack
Setler79 [48]

Answer:

Each snack combo costed $8

Step-by-step explanation:

4 friends* 11 per ticket = $44 for four tickets

76 - 44 = $32 spent on all the snack combos

$32 ÷ 4 friends = $8 spent on each snack combo

So, each snack combo costed $8

Hope this helps!

6 0
2 years ago
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Softa [21]

Answer:

11

Step-by-step explanation:

\frac{154}{14} =11\\\\check: 11*14=154

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3 years ago
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