3 unitsV13 units
2 units
In this right triangle, the length of the hypotenuse, BC, is units:

Answers

Answer 1

Answer:

Answer:

$\large\boxed{BC=√(13)}$

Step-by-step explanation:

$\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\n\na^2+b^2=c^2.\n\n\text{We have:}\ 2<3<√(13)\n\n\text{Substitute:}\n\n2^2+3^2=(√(13))^2\qquad\text{use}\ (√(a))^2=a\n4+9=13\n13=13\qquad\bold{CORRECT}\n\n\text{The hypotenuse is the longest side of a right triangle.}\n\text{Therefore}\ BC=√(13)$

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A box contains 500 apples. 32% are rotten. How many rotten apples are there?

Answers

Lets find 32% of 500.

32/100 = .32

.32 * 500 = 160

Answer: 160 apples are rotten.

500 apples* (32/100)= 160 apples.

There are 160 rotten apples~

The measure or an angle is fourteen times the measure of a supplementary angle. What is the measure of each angle?

Answers

Each angle would be 12.86 rounded to the nearest hundreth

At t=2 hours, the populations of bacteria colony was 456 and at 4.2 hours, the population was 988. At what time can we expect the population to be 8700?

Answers

Answer:

10.4 hours

Step-by-step explanation:

It is convenient to write the exponential growth function in these terms:

population = (initial value)·((value at later time)/(initial value))^exponent

where ...

exponent = (t - (initial time))/(time difference to later time)

Here, we have ...

initial value = 456
initial time = 2 . . . hours
value at later time = 988
time difference to later time = 4.2 -2 = 2.2 . . . hours

So, the exponential function is ...

p(t) = 456·(988/456)^((t-2)/2.2)

We can find t for p(t) = 8700 a couple of ways. My favorite is to use a graphing calculator to find t such that ...

p(t) -8700 = 0

This shows t ≈ 10.4 hours.

Alternatively, you can solve the equation using algebra.

8700 = 456·(988/456)^((t-2)/2.2)

8700/456 = (988/456)^((t-2)/2.2) . . . . . . . . . . .divide by 456

log(8700/456) = (t -2)/2.2 · log(988/456) . . . . taking logs

2.2·log(8700/456)/log(988/456) = t -2 . . . . . . multiply by the inverse of the coefficient of t

t = 2 + 2.2(log(8700/456)/log(988/456)) ≈ 10.389774

We can expect the population to be 8700 at 10.4 hours.

alicia paid $1.32 for a bag of pinto beans .the beans cost $.55per lb .how much did the bag of pinto beans weight?

Answers

Answer:

2.4 pounds.

Step-by-step explanation:

We have been given that Alicia paid $1.32 for a bag of pinto beans. The beans cost $0.55 per lb. We are asked to find the weight of pinto beans bag.

To find the weight of pinto beans bag, we will divide amount paid for the bean bag by per pound of beans.

$\text{Weight of pinto beans bag}=(1.32)/(0.55)$

$\text{Weight of pinto beans bag}=2.4$

Therefore, the weight of pinto beans bag is 2.4 pounds.

the bag weighed 2.4 pounds heres how you solve

1.32/.55=2.4 pounds

I give thank and 5 stars :D

Answers

Hi Brainiac

6(s - 8) ≤ -18

Simplify both sides

6s - 48 ≤ -18

Now add 48

6s - 48 + 48 ≤ -18 + 48

6s ≤ 30

Divide both sides by 6 so we can find the value for s

6s/6 ≤ 30/6

s ≤ 5

I hope that's help:0

What is the unknown number ( +4)+59=70

Answers

The value of unknown number is 7.

Here,

The expression is given as;

⇒ ( +4)+59=70

We have to find the unknown number.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

Let the unknown number is x.

Then, The expression become;

( x + 4 ) + 59 = 70

Subtract 59 both side,

( x + 4 ) + 59 - 59 = 70 - 59

x + 4 = 11

Subtract 4 both side,

x + 4 - 4 = 11 - 4

x = 7

Hence, The value of unknown number is 7.

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