Ask question

Ask question

All categories

3 years ago

7

A birdhouse has a shadow that is 12 feet long.

2 answers:

DIA [1.3K]3 years ago

4 0

It's 20.

12/x=3/5

Then cross multiply 12*5 and 3*x

3x/3=60/3

x=20.

Semenov [28]3 years ago

3 0

Answer:

The actual height of birdhouse is 20 ft.

Step-by-step explanation:

Let h be the actual height of birdhouse.

We have been given that a birdhouse has a shadow that is 12 feet long. Jin is 5 feet tall, and he is standing next to the birdhouse. Jin has a shadow that is 3 feet long.

Since proportion states that two fractions are equivalent, so we will use proportion to solve for the actual height of birdhouse.

$\frac{h}{12}=\frac{5}{3}$

Upon multiplying both sides of our equation by 12 we will get,

$\frac{h}{12}*12=\frac{5}{3}*12$

$h=5*4$

$h=20$

Therefore, the actual height of birdhouse is 20 ft.

You might be interested in

Solve by substitution-5x+4y=22 x - 3y = 0A) No solution.

zepelin [54]

We want to use substitution to solve
-5x + 4y = 22 (1)
x - 3y = 0 (2)

From (2), obtain
x = 3y (3)
Substitute (3) into (1).
-5(3y) + 4y = 22
-15y + 4y = 22
-11y = 22
y = -2
From (3), obtain
x = 3y = 3*(-2) = -6

Answer: e. (-6, -2)

5 0

3 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

Mike collected milk from 3 of his cows at the dairy farm. from the first cow, he collected 4/5 gallon of milk. the second cow pr

Oksi-84 [34.3K]

Answer:

(A) 2 3/10

(B) 1 7/15

Step-by-step explanation:

(A) Add the gallons he collected together to get the total amount of milk he started with: 4/5 + 6/8 + 3/4 = 2 3/10 gallons of milk.

(B) Take that number, 2 3/10, and subtract the amount of milk he has left to get the amount of milk he used. 2 3/10 - 5/6 = 1 7/15

7 0

4 years ago

What is (5x + 3z) +9z simplified

Alex17521 [72]

5x+12z Because you take, 3z+9z and that is equivalent to 12z. and then you put the 5x back into the equation so it is 5x+12z

6 0

4 years ago

Read 2 more answers

The chess club members bought six tickets to a tournament for $15. how much would they have paid if all nine members wanted to g

ElenaW [278]

15/6=2.5
2.5x9=22.5
$22.50 is your answer

5 0

3 years ago