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3 years ago

13

There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm?

1 answer:

Assoli18 [71]3 years ago

3 0

Answer: 150

Step-by-step explanation:

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Given the following two statements, is the compound statement valid? p: Two angles are congruent. q: The angles are vertical Com

maw [93]

No, this is not valid. In the picture below, $\angle a$ is a vertical angle with $\angle b$ . But $\angle a$ is not $\cong \angle b$

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3 years ago

How can I solve each system of liner equations by substitution?

natka813 [3]

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3 years ago

A minor league baseball team plays 72 games in a season. If the team won 15 more than twice as many games as they lost, how many

Alina [70]

X = games won
y = games lost

x + y = 72
x = 2y + 15

2y + 15 + y = 72
3y + 15 = 72
3y = 72 - 15
3y = 57
y = 57/3
y = 19 <=== lost games

x = 2y + 15
x = 2(19) + 15
x = 53 <=== won games

3 0

3 years ago

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

A rectangle has a height of 3p2+1 and a width of p3+4 your answer should be a polynomial in standard form

drek231 [11]

Answer:

3p^5+p^3+12p^2+4

Step-by-step explanation:

5 0

3 years ago