each student at the picnic recevide 3 cups of ice cream. if there were 48 students, how many quarts of ice cream were needed in all.

Answers

Answer 1

Answer: 3 cups for each student implies 3*48=144 cups for 48 students.
1 quarts is equivalent to 4 cups, 144 cups will give 144/4 = 36 quarts.

Answer 2

Answer:

Answer:

3 c

Step-by-step explanation:

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In ΔSTU, s = 1.6 cm, u = 9.5 cm and ∠U=24°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Final answer:

In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.

Explanation:

The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.

Learn more about Trigonometry here:

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I have SAT's tomorrow and need help with math... Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?

Answers

Answer:

3w + 52 ≥ 90

Step-by-step explanation:

If she volunteers 3 hours per week for w weeks, then the number of hours from tutoring is 3w. Add the 52 hours from her summer volunteering, and her total hours is 3w + 52. This needs to be at least 90 hours for her to graduate, so:

3w + 52 ≥ 90

Find the solution set of the inequality: -3x + 8 < 15−3x+8<15minus, 3, x, plus, 8, is less than, 15 x

Answers

Answer:

The solution to the inequality is;

x > -7/3

Step-by-step explanation:

We want to find the solution to the inequality;

-3x + 8 < 15

We can have this as;

-3x < 15-8

-3x < 7

x > -7/3

Answer:

x>-7/3

Step-by-step explanation:

what famous ancient greek mathematician came up with an approximate value of pi by circumscribing and inscribing circles in and around regular polygons?

Answers

Archimedes came up with $\pi$

Archimedes came up with an approximate value of pi.

I have class in a half an hour and I still haven't solved all of the hw questions... please help guys I'll give 90 points and brainliest for the first correct answer with brief explanation: thank you SOOOOOOOOOO much!Given: E, F, Q, D∈k(O),O ∈ ED, m∠DFQ = 10°, measure of arc EF = 28° Find: Angles of △EFQ

Answers

Answer:

Angles of △EFQ:

m<EFQ = 100°

m<EQF = 14°

m<FEQ = 66°

Step-by-step explanation:

ED is the diameter of the circle O

so m<EFD = 1/2 (180) = 90°

Given m∠DFQ = 10°

△EFQ

m<EFQ = m<EFD + m∠DFQ = 10° + 90° = 100°

arc EF = 28°,

so m<EQF = 1/2 (28) = 14°

m<FEQ = 180 - ( 100° + 14°) = 66°

Answer:

m<EFQ = 100°

m<EQF = 14°

m<FEQ = 66°

I need help in doing question 1B please.