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ELEN [110]
2 years ago
7

Please help. Find the value of h in the triangle.

Mathematics
2 answers:
astra-53 [7]2 years ago
7 0
First find out the area of the triangle and then use it to divide by 21.8 and 1/2
dybincka [34]2 years ago
3 0
1/2×12m×18.2m=109.2m2
109.2m2÷21.8m÷1/2=10m(nearest whole number)
h=10m
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If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?
Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\displaystyle \large{m =  \frac{10 - 2.5}{4 - 1} } \\  \displaystyle \large{m =  \frac{7.5}{3} } \\ \displaystyle \large{m =  2.5}

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\displaystyle \large{y = 2.5x }

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\displaystyle \large{1577847.6 = 2.5x}

Divide both sides by 2.5

\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }

5 0
2 years ago
If a function f has an inverse and f(1) = -3, then f-1(-3) = 1.<br> A) True<br> B) False
bonufazy [111]

Answer:

  A) True

Step-by-step explanation:

The ordered pair for the first expression is ...

  y = f(x)

  -3 = f(1)

  (x, y) = (1, -3)

The ordered pair for the second expression is ...

  y = f^-1(x)

  1 = f^-1(-3)

  (x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.

4 0
3 years ago
Of the 50 fish that Alan caught from the lake,14 were trout.The estimated population of the lake is 7,500 fish. About how many t
Korolek [52]
Relative frequency = event/sample space
50/14 = 0.28

Expected probability = relative frequency*event
0.28*7500 = 2100 
About 2100 trout is expected to be in the lake.
6 0
3 years ago
Charlie is at a small Airfield watching for the approach of a small plane with engine trouble he sees a plane at an angle of ele
Vlada [557]

Answer:

2720 feet

Step-by-step explanation:

u can draw a right triangle whose opposite side is 1700 feet, the adjacent side is the ground distance from Charlie to the plane (x), and the angle between theses sides is 32°.

Then, tan (32°) = 1700 feet / x => x = 1700 feet / tan(32°) = 1700 feet / 0.625 = 2720 feet.

3 0
3 years ago
Read 2 more answers
What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.
Blizzard [7]

Answer:

A=11.7\ m^2

Step-by-step explanation:

Given that,

Central angle, \theta=160^{\circ}

Diameter,d = 5.8 m

Radius, r = 2.9 m

We need to find the area of sector. The formula for the area of sector is given by :

A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2

So, the area of a sector is equal to 11.7\ m^2.

4 0
3 years ago
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