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True [87]
3 years ago
8

Have some free points OwO

Mathematics
2 answers:
olga55 [171]3 years ago
6 0
Thank you so much this is much needed to help with the question I need to ask
hram777 [196]3 years ago
4 0

Answer:

YAY

Step-by-step explanation:

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Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagon
ollegr [7]

Answer:

<h2>The cup can hold 240π cubic centimeters of water.</h2>

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

17^{2} =15^{2} + d^{2}

Solving for d, we have

289 - 225 = d^{2} \\d=\sqrt{64} \\ d=8

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

V= \pi r^{2} h

Where r is the radius and h is the height. Replacing values, we have

V= \pi \times 4^{2} \times 15 =\pi \times 16 \times 15\\V=240\pi \ cm^{3}

Therefore, the cup can hold 240π cubic centimeters of water.

8 0
3 years ago
A bookshelf is 45 inches wide. How many 1 &amp; 1/2 inch wide books will fit on the bookshelf? *
andriy [413]

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0
2 years ago
HELP++++++++++++++++++++++++
lys-0071 [83]

Answer:

ASA

ΔFGH ≅ ΔIHG ⇒ answer B

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ  

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets prove the two triangles FGH and IHG are congruent by on of

 the cases above

∵ FG // HI and GH is transversal

∴ m∠FGH = m∠IHG ⇒ alternate angles

- In the two triangles FGH and IHG

∵ m∠FHG = m∠IGH ⇒ given

∵ m∠FGH = m∠IHG ⇒ proved

∵ GH = HG ⇒ common side

∴ ΔFGH ≅ ΔIHG ⇒ ASA

* ASA

 ΔFGH ≅ ΔIHG

3 0
3 years ago
54.7912 Rounded to the nearest hundredth
kupik [55]

Answer:

54.79 because if it's 4 and lower, you let them stay the same but if its five and above you let them go higher.

6 0
3 years ago
The circle passes through the point (-1,-6). What is its radius?
love history [14]

Answer:

the radius is something in math

3 0
3 years ago
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