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quester [9]
3 years ago
12

a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height o

f the tree?​
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Answer:

the height of the tree is about 151 meters

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A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inche
makkiz [27]

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

5 0
3 years ago
Mr. Miller built a rectangular frame for a sandbox in his back yard. He used boards that measured 414
umka21 [38]

Answer:

jio;ji

Step-by-step explanation:

jhjlk

4 0
3 years ago
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Mr. Barnes painted a mural on the office wall.
saw5 [17]

Answer:864

Step-by-step explanation:

36*24=864

8 0
2 years ago
Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
-BARSIC- [3]

Answer:

  • $1375 at 14%
  • $475 at 6%

Step-by-step explanation:

Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...

  0.14x + 0.06(x -900) = 221

  0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify

  x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%

  (x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%

Peter invested $475 in the 6% account and $1375 in the 14% account.

7 0
3 years ago
What is number 20 simplified?
guapka [62]

Answer:

  2

----------

5w^11


Step-by-step explanation:

8/20 reduces to 2/5, and (w^(-2)) / w^9 becomes 1 / w^11.

Overall, #20 reduces to:

  2

----------

5w^11


Recall the rule of exponents:

  w^a

----------- = w^(a-b)

  w^b


and note that

 w^(-2)

------------ = w^(-2-9)  =  w^(-11) (same as above)

  w^9

6 0
3 years ago
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