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Masteriza [31]
3 years ago
13

Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is

sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?
Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:

Step-by-step explanation:

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Fill in the blank.<br>-9+____=-14​
faust18 [17]

Answer:

-5

Step-by-step explanation:

-9+x = -14

Add 9 to each side

-9+x+9 = -14+9

x = -5

4 0
3 years ago
Read 2 more answers
A bag contains yellow marbles and red marbles, 19 in total. The number of yellow marbles is 5 less than 3 times the number of re
Bad White [126]

Answer of this question =8

3 0
3 years ago
Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
Kobotan [32]

Given:

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'.

To find:

The measure of side E'F'.

Solution:

If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'. So,

E'F'=\dfrac{3}{4}\times EF

From the given figure it is clear that EF=12. So,

E'F'=\dfrac{3}{4}\times 12

E'F'=9

Therefore, the measure of side E'F' is 9 units.

7 0
3 years ago
A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what
Artemon [7]

Answer:

V=650.25\ yards^3

Step-by-step explanation:

Given that,

Length = 12\dfrac{3}{4}\ yards

Width = 5\dfrac{2}{3}\ yards

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3

So, the volume of the swimming pool is equal to 650.25\ yards^3.

7 0
3 years ago
Em quantos meses um capital de R$4.000,00 aplicado a uma taxa de juros simples de 29,3% ao ano, renderá de juros o valor de R$58
Akimi4 [234]

Responda:

6 meses

10 meses

Explicação passo a passo:

Dado que:

Principal = 4000

Juros = 586

Taxa (r) = 29,3% ao ano = 0,293

Juros simples = principal * taxa * tempo

586 = 4000 * 0,293 * t

586 = 1172t

t = 586/1172

t = 0,5 anos

Tempo = (0,5 * 12) = 6 meses

B.)

principal = $ 90909,09

Montante final = 100.000

Taxa (r) = 12% = 0,12

Usando a fórmula:

Quantidade final = p (1 + rt)

Taxa = r; t = tempo

100000 = 90909,09 (1 + 0,12t)

100000 = 90909,09 + 10909,0908t

100000 - 90909,09 = 10909,0908t

9090,91 = 10909,0908t

t = 9090,91 / 10909,0908

t = 0,8333334

Número de meses:

0,8333334 * 12

= 10 meses

4 0
3 years ago
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