All categories

3 years ago

HOW DO I FIND THE AREA OF DEF?

Mathematics

2 answers:

Fittoniya [83]3 years ago

5 0

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

tatiyna3 years ago

3 0

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7 $\sqrt{3}$ )/x

x= (7 $\sqrt{3}$ )/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

You might be interested in

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value prod

Mashcka [7]

we know that

The exponential function is of the form

$f(x)=a^{x}$

where

a is any value greater than $0$

In General:

It is always greater than $0$ , and never crosses the x-axis

It always intersects the y-axis at $y=1$

Its Domain is the Real Numbers

Its Range is the Positive Real Numbers

Examples

Let

$a=3$

1) For $x=2$

$f(2)=3^{2} \\ f(2)=9$

2) For $x=3$

$f(3)=3^{3} \\ f(3)=27$

3) For $x=4$

$f(4)=3^{4} \\ f(4)=81$

4) For $x=5$

$f(5)=3^{5} \\ f(5)=243$

$f(3)/f(2)=\frac{27}{9} \\ =3$

$f(4)/f(3)=\frac{81}{27} \\ =3$

$f(5)/f(4)=\frac{243}{81} \\ =3$

therefore

the answer is the option

D.) exponential

5 0

2 years ago

Read 2 more answers

5. Kayla is making a scale drawing of a room in a house. The room

marusya05 [52]

Answer:

he scale of a room in a blueprint is 3 in: 5 ft. A wall in the same blueprint is 18 in. ... 15. 20. 25. 30 à. How long is the actual wall? The wall is 30 feet lona. 1.5 in. b. A window in ... Redraw the rectangle on centimeter grid paper using a scale of 1 cmcom. I. leme ... measurements of the object of the drawing can you find?

Step-by-step explanation:

5 0

3 years ago

A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0

3 years ago

Using the digits 0 to 9

Gre4nikov [31]

Supplementary Angles:

$\boxed{100°} and \boxed{80°}$

Arithmetically speaking, the closest 2 supplementary angles can get (in 3 and 2 digits respectively) is the upwritten.

Complementary Angles:

$\boxed{45°} and \boxed{45°}$

Simply, in this case, for angles to be numerically as close as possible - make both the angles 45°.

8 0

2 years ago

30 points!

Andrei [34K]

Its the first one. Beacuse she gains speed then slows down and stops but then starts up again then slows down. Hope this helps!

7 0

3 years ago

Read 2 more answers