The base of the tent is 72 across the whole way and the hypotenuse is 45
so
to find the length of the stick call it x
half 72 to reduce it to the right hand side triangle
45²-36²=x²
x²=729
x=27 inches

5 0

3 years ago

Read 2 more answers

The expression 7! is equal to which of the following

Sladkaya [172]

Its basically 7 see there is nothing but the number 7 which means as to an expression its 7.

8 0

3 years ago

Read 2 more answers

What is the value of x?

Mariulka [41]

Answer: x = 7

`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

9 cm 72 cm

----------- = -----------

3x - 20 56 cm

Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²

Dividing both sides by 72 cm, we get:

3x - 20 = (504 cm²) / (72 cm) = 7

Then 3x - 20 = 7, and 3x = 27. Then x must be 9.

4 0

3 years ago

Read 2 more answers

A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16

bixtya [17]

Answer:

$6,430\ bacteria$

Step-by-step explanation:

we have a exponential function of the form

$y=a(1+r)^{x}$

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

$y=3,000(1+r)^{x}$

For x=2, y=3,300

substitute

$3,300=3,000(1+r)^{2}$

$(3,300/3,000)=(1+r)^{2}$

Apply square root both sides

$1+r=\sqrt{3.3/3}$

$r=\sqrt{3.3/3}-1$

$r=0.0488$

$r=4.88\%$

substitute in the equation

$y=3,000(1+0.0488)^{x}$

$y=3,000(1.0488)^{x}$

Predict how many bacteria will be present after 16 hours

For x=16 hours

substitute

$y=3,000(1.0488)^{16}$

$y=6,430\ bacteria$

6 0

3 years ago