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Harman [31]
3 years ago
7

Frank is going to throw a ball from the top floor of his middle school. The function

Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

16t=69

Step-by-step explanation:

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How much of the 8% solution should we use to make 100g of a 3% solution?
kipiarov [429]

Answer:

37.5 g

Step-by-step explanation:

The final solution will contain 3% × 100 g = 3 g of solute. This amount of solute will be found in w grams of 8% solution, where ...

... 3 = 0.08 × w

... 3/0.08 = w = 37.5 . . . . . grams of 8% solution

3 0
3 years ago
Find the measure of the indicated angle:<br> 30°<br> 52⁰<br> ?<br> 28°
grin007 [14]

Answer:

54°

Step-by-step explanation:

180° - 52° - 30° = 98°

180 - 98° - 28° = 54°

8 0
2 years ago
75 points. Will give certified if work is shown and the answer is correct.
Svetach [21]
Volume of the first dwarf planet (r₁ = 832 mi):

V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3

Volume of the second dwarf planet (r₂ = 829 mi):

V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3

So difference between the volumes is:

V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}
3 0
3 years ago
Is 74.3 grater than or less than 7.43
melamori03 [73]
74.3 is greater than 7.43
8 0
3 years ago
Read 2 more answers
Help with trigonometry​
diamong [38]

Answer:

cos ∠CBD = - 4√41 / 41

Step-by-step explanation:

AB = 4      ΔABC = (4 x AC) / 2 = 10

AC = 5

BC = √5² + 4² = √41

cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA

(cos 180° = - 1          sin 180° = 0       cos ∠CBA = 4 / √41 )

cos ∠CBD = (-1) x cos  ∠CBA = - 4 / √41 = - 4√41 / 41

4 0
3 years ago
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