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Lena [83]
4 years ago
5

30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t

he shadow
Mathematics
1 answer:
Pavlova-9 [17]4 years ago
3 0

Answer:  22 meters

<u>Step-by-step explanation:</u>

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters.  Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x²          = 37² - 30²

x²          = 1369 - 900

x²          = 469

√x²       = √469

        x = 21.656

        x ≈ 22

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Hector made a batch of pancakes first guest you 6 cups of milk three eggs and 9 cups of pancake mix. What is the constant of pus
Nitella [24]

Answer:

  3 : 2

Step-by-step explanation:

The ratio of pancake mix to milk is ...

  pancake mix : milk = (9 cups) : (6 cups) = 9 : 6 = 3 : 2

6 0
4 years ago
Elijah wants to know the cross-sectional area of the circular pipe. He measures the diameter which he finds, to the nearest mill
Tanya [424]

Answer:

The area is 0.002m² to 3 dp

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes(I.e cross sectional area of pipe ) , this time the a circle.

It requires us to look for the area of the shape

Given data

Diameter d = 5cm

Converting to mm = 5/100= 0.05m

Radius of circle r=d/2=0.05/2 =0.025mm

Given the area of the circle

A=πr²

A=3.14*0.025²

A=0.0019m²

To 3 dp we have area as 0.002m²

3 0
3 years ago
(2.9x10^8)divided by(9.2x10^6)
dangina [55]

Answer:

(2.9x10^8) divided by (9.2x10^6)  will be equal to 31.52

Step-by-step explanation:

Given that:

(2.9x10^8) divided by (9.2x10^6)

we can write it as:

=2.9/9.2 * (10^8-6)         (subtracting exponents of same bases in division)

=0.3152 * 10^2               (As 10^2 equals 100)

=31.52                             (Answer)

I hope it will help you!

7 0
3 years ago
The ratio of boys to girls in a class room is 5 to 7. If there are 30 boys then how many girls are there
Brums [2.3K]

Answer:

The ratio of boys to girls to 5:7

Let the number of boys be 5x

Let the number of girls be 7x

5x = 30

x = 6

Now just plug in 6 for the x in 7x

and number of girls 7 x 6 = 42

4 0
3 years ago
Read 2 more answers
Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.
beks73 [17]

Answer:  Yes,  \bold{f^{-1}(x)=\dfrac{x+6}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x - 6    is a line so it is a function  because

                      it passes the vertical line test

                              and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y

8 0
3 years ago
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