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Olin [163]
4 years ago
9

Identify the information that is needed to solve the problem. Trudy is making punch for a party. She plans to use 4 cans of froz

en lemonade, 2 baskets of strawberries, and 1 can of frozen orange juice. What is the ratio of lemonade to orange juice? A. The amounts of lemonade, strawberries, and orange juice are needed. B. The amounts of lemonade and strawberries are needed. C. The amounts of lemonade and orange juice are needed. D. The amounts of strawberries and orange juice are needed.
Mathematics
1 answer:
Elodia [21]4 years ago
7 0

She plans to use
4 cans of frozen lemonade,
2 baskets of strawberries, and
1 can of frozen orange juice.

What is the ratio of lemonade to orange juice? 4:1

A. The amounts of lemonade, strawberries, and orange juice are needed.
B. The amounts of lemonade and strawberries are needed.
C. The amounts of lemonade and orange juice are needed.
D. The amounts of strawberries and orange juice are needed.
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Solve the triangle.<br><br> B = 36°, a = 41, c = 20
svetoff [14.1K]

Answer:

See below

Step-by-step explanation:

When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:

b^{2}=a^{2}+c^{2}-2acCos(B)

b^{2}=41^{2}+20^{2}-2(41)(20)cos36 \\b^{2}=1681 + 400-1327 \\b^{2}=754 \\b = 27.5

After you have a side and the opposed angle (side b and angle B), you use the law of sines:

\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}

I will calculate angle A first:

[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°[/tex]

Same for angle C:

\frac{27.5}{sin36} =\frac{20}{sinC} \\sinC =\frac{20}{27.5} sin36 \\sin C = 0.427 \\C = 25.3\°

The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.

I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.

using B = 36:

b = 36.6

angle A = 86.4°

angle C = 29.1°

A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°

5 0
3 years ago
A dartboard consists of two concentric circles. The probability of hitting the inner circle is
stepan [7]
Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.
3 0
4 years ago
Please help i need it for tomorrow
kobusy [5.1K]

Answer:

x = 3

Step-by-step explanation:

All three vertical lines are parallel and that makes the angle with measure of 67 degrees and the angle with measure represented by 23x - 2 are alternate and equal:

67 = 23x - 2 add 2 to both sides

69 = 23x divide both sides by 23

3 = x

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3 years ago
Find the amount of sap the maple syrup producer would have collected from each tree if the total amount (5 gallons) was redistri
zhuklara [117]

Answer:

Step-by-step explanation:

You cannot solve the problem be cause you dont know how many trees there are.

3 0
3 years ago
Please help me answer this will give brainlst
bonufazy [111]
Complimentary means they equal 180 so if one is 5 more then 4 times the other one is m<1= x and m<2= 4x+5°. Then solve for x. So! x+4x+5= 180. (solve to get) x=35. SO IN CONCLUSION::: <1= 35 (x) and <2= 145 (4x+5) using substitution after solving to find x.
3 0
3 years ago
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