A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot? A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet

Answers

Answer 1

Answer:

Answer:

Answer is option b

17 feet.

Step-by-step explanation:

Given that A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow.

for man actual height = 6 foot

Shadow = 9 foot

At a particular time, the height/shadow ratio would be constant

Hence 6/9 =x/25

Or x = 25(6)/9

x=16.67feet

Rounding off x=17 feet

Answer 2

Answer: ratio of object to shadow = 6/9 = x/25 (where x is the height of the tree)
x = (6 * 25)/9 = 16.67feet

x = approx. 17 feet

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Choose all the numbers that 84 is divisible by.2
3
4
5
6
9
10

Answers

The number 84 is divisible by 2,3,4 and 6.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The numbers which divide 84 completely are:-

2 ⇒ 84 ÷ 2=24

3 ⇒ 84 ÷ 3=28

4 ⇒ 84 ÷ 4=21

6 ⇒ 84 ÷ 6=13

Hence, the numbers are 2,3,4 and 6.

To know more about division follow

brainly.com/question/4721701

#SPJ2

2↪84:2=24
3↪84:3=28
4↪84:4=21
6↪84:6=13

What is the volume of the cube? A. 2744 mm3

B. 42 mm3

C. 1176 mm3

D. 196 mm3

Answers

If you would like to know the volume of the cube, you can calculate this using the following steps:

a^3 = 2744 mm^3 ... a = 14 mm
b^3 = 42 mm^3 ... b = 3.48 mm
c^3 = 1176 mm^3 ... c = 10.56 mm
d^3 = 196 mm^3 ... d = 5.81 mm

The correct result would be A. 2744 mm^3.

the correct answer is A.

I need to write an equation for:

ten times the sum of half a number and 6 is 8

Answers

Let's start with the easy part of this equation. We know it will end with = 8 because of the the phrase "is 8". Now let's work backwards, starting with the sum of half a number and 6. In this example, we will represent "a number" with x. To take half a number is to divide it by 2, so half a number would be x/2. The phrasing "the sum of" indicates addition, therefore the sum of half a number and 6 would be represented by x/2+6. Now for the the first part of the equation, ten times. This phrasing indicates multiplication, and so we will multiply 10 by the remainder of the equation, This gives us the answer of 10(x/2+6). Now all you have to do is add the equals sign and answer to make this expression and equation, and you get 10(x/2 + 6) =8

Find the inverse function of g(x) = 2x + 4.g -1(x) = 4x + 2
g -1(x) = 2x + 1/2
g -1(x) = 1/2 x - 2
g -1(x) = 2x - 4

Answers

Answer:

$g^(-1)(x)=(1)/(2)x-2$

Step-by-step explanation:

First, let's rename this as y = 2x + 4.

In order to find the inverse, switch the x and the y, then solve for the new y.

x = 2y + 4 so

2y = x - 4 and

$y=(1)/(2)x-2$

Putting it back into function notation:

$g^(-1)(x)=(1)/(2)x-2$

A number increased by 10

Answers

Answer:

im pretty sure we need the previous value

Answer:

Step-by-step explanation:

just got it right on plato

Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide by 80 mm high. She moves the projector so that the width of the projected image is 300 mm. If the original drawing and the projected image are similar figures, what will be the height of the projected image?

Answers

so 60 by 80,
60 <80 so 60=width
she moves it so that width=300
findn height

60:300=80:x
60/300=80/x
muliplyb oth sides by x
60x/300=80
x/5=80
mulitpliy both sides by 5
x=400

the height=400 mm

Answer:

400mm

Step-by-step explanation:

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