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2 years ago

A novelist can write 2 1/4 pages in 3/4 hours. EXPRESS HER WRITING SPEED AS A UNIT RATE

Mathematics

1 answer:

MissTica2 years ago

5 0

Answer:1/30 page per minute

Step-by-step explanation:

2 1/2 pages =3/2 pages.

3/4 hrs=45 minutes

Hence the number pages he can type per minute =3/2 pages/45 minutes=3/2×1/45=1/30page per minute

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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

2 years ago

The prophecy states that if you go to the link in the picture this comment will make sense

likoan [24]

Answer:

no way

Step-by-step explanation:

4 0

2 years ago

Iron has a density of 7.9 g/cm³. Gold has a density of 19.3 g/cm³.

alexandr402 [8]

Density = m/v
3.86kg=3860g
d= 3860/200
= 19.3g/cm^3
therefore it is gold.

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1 year ago

Bill is building a deck. He wants the length of the deck to be 7 feet. If he wants the area of the deck to be 105 square feet, w

kotykmax [81]

The answer is 15 feet

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1 year ago

After being filled, a basketball loses 3.2% of its air every day. Considering that the initial volume of the ball was 840 cubic

Sliva [168]

Answer:

volume = 840 cubic cm

(3.2/100)×840= 26.88 per day

after 4 days = 26.88×4=107.5

answer is 107.5

8 0

1 year ago

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