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riadik2000 [5.3K]
3 years ago
8

Find the approximate perimeter of pentagon ABCDE plotted below.

Mathematics
2 answers:
meriva3 years ago
5 0

Answer: 32.5

Step-by-step explanation:

This is the answer on Khan Acadamy

Vedmedyk [2.9K]3 years ago
5 0

Answer: 32.5

Step-by-step explanation: Khan Academy

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while
aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

\implies tan\theta = \frac{x}{x}    ( at 3pm the height of shadow = height of the pole)

\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

The height of shadow = x + 95,

\implies tan(45-12)^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

4 0
3 years ago
A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute? a. 2,400 ft/min b. 211,200 ft/min c. 3,
SCORPION-xisa [38]

Answer:

  3520 ft/min

Step-by-step explanation:

40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min

_____

Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.

3 0
3 years ago
The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
Blizzard [7]

the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)

hypotenuse = 10

 10/2 =5

 so the answer should be 5sqrt(2), which I don't see as a choice

4 0
3 years ago
4x + y = 10<br> 7x + 2y = 17
Nezavi [6.7K]

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

6 0
2 years ago
Read 2 more answers
. Gold has a density of 19.32 g/cm3. If a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is
trapecia [35]

Answer:

The answer to your question is: It is not made of gold.

Step-by-step explanation:

Data

density = 19.32 g/cm³

side = 5 cm

height = 6 cm

mass = 942 g

Formula

                          V = \frac{1}{3} L^{2}  h

L² = 5 x 5 = 25 cm²

                          V = \frac{1}{3} 25 x 6

                          V = 50 cm³

density = 942 g / 50 cm³

            = 18.84 g/cm³  

It is not made of gold because the density calculated is lower than the density reported in books.

3 0
3 years ago
Read 2 more answers
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