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tino4ka555 [31]
3 years ago
12

Find the unit rate. Round to the nearest hundredth, if necessary. $5.99 for 19 lb

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

0.315 per lb

Step-by-step explanation:

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In the right triangle shown, \angle B = 60^\circ∠B=60
Liono4ka [1.6K]

Answer:

Part 1) AC=6\sqrt{3}\ units

Part 2) AC=12\sqrt{3}\ units

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB  and the right angle is C

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(60^o)=\frac{AC}{12}

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{AC}{12}

AC=6\sqrt{3}\ units

Problem 2

The hypotenuse is the segment BC  and the right angle is A

we know that

In the right triangle ABC

tan(B)=\frac{AC}{AB} ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(60^o)=\frac{AC}{12}

Remember that

tan(60^o)=\sqrt{3}

substitute

\sqrt{3}=\frac{AC}{12}

AC=12\sqrt{3}\ units

5 0
3 years ago
Three times the square of the difference of x and 6 is 12​
Elis [28]

Answer:

Equation: 3(x-6)^2=12

Solutions: x=4\text{ or }x=8

Step-by-step explanation:

Unknown variable = x

Difference of x and 6 = x - 6

Square of the difference of x and 6 =(x-6)^2

Three times the square of the difference of x and 6 =3(x-6)^2

Three times the square of the difference of x and 6 is 12, then

3(x-6)^2=12

Divide this equation by 3:

(x-6)^2 =4

Now

x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4

8 0
3 years ago
Read 2 more answers
You roll a die 60 times how many times do you expect to roll a factor of 12
Paladinen [302]

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of  (6010)(1/6)10∗(5/6)50≈13.7% .

8 0
2 years ago
Please help asap!! (:
Verizon [17]
The answer should be letter B.
3 0
3 years ago
HELP ME PLEASEEEEEEEEEE
baherus [9]
(2,1) and (3,6)

Slope = (6-1)/(3-2) = 5

y = mx + c
y = 5x + c

at point (2,1)
1 = 5(2) + c
1 = 10 + c
c = -9

y = 5x - 9
8 0
3 years ago
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