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77julia77 [94]
2 years ago
15

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paints in order to make a green paint. Which ratio of gallon

s of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30 : 54
B. 6 : 10
C. 10 : 45
D. 27 : 15
Mathematics
1 answer:
lesya [120]2 years ago
5 0

Answer:

A. 30 : 54

Step-by-step explanation:

If you divide 30 by 6 and 54 by 6, you'll get a ratio of 5 : 9, which is the same ratio shown in the problem

Hope this helps :)

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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
There are 2 mixtures of light purple paint.
solong [7]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Duane and mick are saving their money to build a tree house. Duane adds $5 to their piggy bank every other week. Mick adds $2 er
Furkat [3]
10 weeks
Duane adds $5 every other week so that's 5 weeks out of 10. 5 x 5 = 25
Mick adds $2 every week so,
2 x 10 = 20

25 + 20 = 45
8 0
3 years ago
X^(2)-3x+14 how many solutions does it have?
myrzilka [38]

Step by step:

x(2)−3x+14

=2x+−3x+14

Combine Like Terms:

=2x+−3x+14

=(2x+−3x)+(14)

=−x+14

Answer:

=−x+14

For some reason I could only find one... sorry!

Hope I could help thou! :)

 


6 0
3 years ago
Read 2 more answers
What is the y-intercept, axis of symmetry and vertex of the following function.
tamaranim1 [39]
To find the y intercept you must substitute 0 into x.

F(x) = (-3x0) - (6x0) - 5
F(x) = -5

To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate

x = 6/(-3x2)
x = 6/-6
x = -1

Now we need to find the y coordinate so we sub -1 into x.

F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4

The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
5 0
2 years ago
Read 2 more answers
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