A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.

Answer:

y=-2/3x+6

Step-by-step explanation:

19.4 inches

Step-by-step explanation:

Area of the traingle = 230.86 sq. inches

Height of the triangle = 23.8 sq. inches

We have,

Area of the triangle =  1/2bh

where,

b = base of the traingle

h = height of the triangle

Now, substituting the given info we get,

230.86 = 1/2b (23.8)

230.86 × 2/23.8 = b

b = 19.4

So, the base of the triangle is 19.4 inches

Answer:

Interest earned= $6,060

Step-by-step explanation:

Giving the following formula:

Principal (P)= $12,625

Interest (r)= 4%= 0.04

Period of time (t)= 12 years

To calculate the interest earned after twelve years, we need to use the following formula:

I= P*r*t

I= (12,625*0.04*12)

I= $6,060

Interest earned= $6,060

Answer:

The answer is 1030 ml

Hope this helps

Answer:

1.03 liters

Step-by-step explanation:

225 + 370 + 435 = 1030 ml

1030ml = 1.03 l

Answer:

V = 240 cm^3

Step-by-step explanation:

The volume formula for a cone or triangular prism such as this one is

V = (1/3)(base area)(height), which here is:

V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3

Answer:

z=25

Step-by-step explanation:

(3+5)^2+[8-11]+z=4(z-2)

(8)^2 +3+z=4z-8

square 8

add 8 to both sides

mines z from both sides

64+3+8=3z

75=3z

25=z

To find the volume we use an equation:

volume = length x width x height

Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.

So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.

volume = 4.5 x 4.5 x 4.5

Which will get you an answer of 91.125 inches cubed

[tex]91.125in^{3}[/tex]

Hope this helps :)

Answer:

35

Step-by-step explanation:

i believe it is 35 degree at is directly opposite to a 35 degree angle

The probability that you lose the next two matches is 0.4. The correct option is B.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that you play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning.

The probability that you lose the next two matches is calculated as:-

Probability = 1 - 0.6

Probability = 0.4

Therefore, the probability that you lose the next two matches is 0.4. The correct option is B.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

Answer:

Step-by-step explanation:

I think it’s c

Answer:

It should be 66%

Hope this helped! :)

Answer:

6cm produces the largest mosquito

Step-by-step explanation:

The question has missing details.

From the complete question, the function is:

[tex]g(x) = 12x-x^2[/tex]

Required

Which area of rainfall produces the most mosquito

This implies that, we calculate the maximum of the function.

This is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

We have:

[tex]g(x) = 12x-x^2[/tex]

Rewrite as:

[tex]g(x) = -x^2 + 12x + 0[/tex]

From the above:

[tex]a= -1[/tex]

[tex]b = 12[/tex]

[tex]c = 0[/tex]

So, we have:

[tex]Max = -\frac{b}{2a}[/tex]

[tex]Max = -\frac{12}{2 * -1}[/tex]

[tex]Max = \frac{12}{2}[/tex]

[tex]Max = 6[/tex]

This implies that:

[tex]x = 6[/tex] ---- the maximum

When rainfall is at 6cm, there is a maximum number of mosquitoes

The maximum is then calculated as:

[tex]g(x) = 12x-x^2[/tex]

[tex]g(6) = 12 * 6 - 6^2[/tex]

[tex]g(6) = 72 - 36[/tex]

[tex]g(6) = 36[/tex]

The maximum number of mosquito is 36 million

Answer:

layers 2 cubes in each layer 3 2x3=6

Step-by-step explanation:

a.) 990 is the TOP volume.

b.) 825 is the BOTTOM volume.

c.) 1815 is the total volume.

Hope it helps!

- JK Mitsu

#SpreadTheLove

_________________________________________

Some help so you can be independent next time!

1.) Finding the top volume mean multiplying the height of the top (6 m) , width, and length.

2.) Finding the bottom is the height of the bottom (5 m) , width, and length.

3.) Finding the total is adding both bottom and top!

Answer:

It would be A

Step-by-step explanation:

when you rotate Clockwise goes -> Counterclockwise goes <-

So you want to go -> so we are going Clockwise because that brings us to the "square" that DOG is in and when you do CAT is still 2 spots farther to the right from DOG so you want to go 2 to the left.

CAT:

when you rotate it clockwise 90 degrees

C goes at  (0,6)

A goes at (4,-6)

T goes at (2, -2)

Answer:

(1.3×10000)×0.05=650$

Step-by-step explanation:

It was sold for 30% more than at the auction, which means we add 30% which is 0.3 of the price at the auction so 10000 + (30/100)×10000 which equals 13000. Now take 5% which is 0.05 of 13000 to get the final answer

(x% is equal to X/100)

Answer: The answer is 5 5/10 or 5 1/2

Step-by-step explanation:

2 1/5= 11/5

2 3/10= 23/10

11/5= 22/10

23/10 + 22/10 = 55/10 = 5 5/10 = 5 1/2

Answer:

g(x) = 4(x + 7)

Step-by-step explanation:

i had this on a test i just took so it told me it was right bit if it is not i am sorry and i will recheck

Answer:

10.62

Step-by-step explanation:

Mean can be described as the average of a sum of numbers, it can be calculated by sum ing all the numbers together and then diving by the total

The mean of the set of numbers shown in the question above can be calculated as follows

3+4+6+7+10+15+19+21/8

= 85/8

= 10.62

Hence the mean is 10.62

Answer:

number lines of x>4 and x<-1 respectively

Step-by-step explanation:

Step-by-step explanation:

Scale factor =5/2

length=5/2×18= 45

width=5/2×12= 30

perimeter = 2(L+W)

=(45×2+30×2)

90 +60

=150 inches

Answer:

I am pretty sure its 5

Step-by-step explanation:

Answer:

[tex] \frac{6}{8} \\ \\ \\ \frac{2}{8} [/tex]

Answer:

the answer is 2

Step-by-step explanation:

3(2)+6(2)=

6+12=18