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3 years ago

15

Movies are on sale for 3/4 the original price. If the original price is $16, what is the sale price?

1 answer:

Nesterboy [21]3 years ago

5 0

If the original price is 16, then 3/4 of 16 is 12.

$12

Dividing 16 by 4 (the denominator), you get 4. Then 4 x 3 (the numerator) is 12.

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A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

$B=arccos(0.81489)=35.4\°$

step 3

Find the measure of angle C

Applying the law of cosines

$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

$2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}$

$cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))$ $cos(C)=0.0784$

$C=arccos(0.0784)=85.5\°$

3 0

3 years ago

12,00 equals how many hundreds?

shtirl [24]

Answer:

12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the near

abruzzese [7]

Answer: 904.32 cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = $V = \frac{4}{3}\pi r^{3} \\$

Substitute pi for 3.14 and radius for 6. 6^3 = 216

$\\V = \frac{4}{3}\ (3.14)( 216) \\\\$

Multiply them together, the answer is 904.32 cubic units.

8 0

3 years ago

Find an exact value. cosine of nineteen pi divided by twelve.

zaharov [31]

The answer is -0.083333333333333

4 0

2 years ago

Read 2 more answers

PLEASE PLEASE PLEASE HELP ME

qaws [65]

Answer:

$\large\boxed{\dfrac{1}{45}}$

Step-by-step explanation:

1.

2 yellow marables of 10 all marables

$P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}$

2.

1 yellow marable of 9 all marables

$P(A_2)=\dfrac{1}{9}$

$P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}$

5 0

3 years ago