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zhannawk [14.2K]
2 years ago
14

CAN SOMEONE PLEQSE HELP ME? WORTH 50 POINTS !! SCREENSHOT TO SEE BETTER

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

1. 157 in³

2. 12 in

3. volume of the rice container is 1.5 times the volume of the sugar container

4. 50.24 in³

5. Rice container has the greatest volume

Flour container has the smallest volume

Step-by-step explanation:

By inspection of the diagram, the three containers are all cylinders.

Volume of a cylinder = \pi r^2h

(where r is the radius and h is the height)

Given \pi = 3.14

1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³

2. 235.5 = 3.14 x 2.5² x h

⇒ 235.5 = 19.625h

⇒ h = 235.5 ÷ 19.625 = 12 in

3. height of sugar container = 8 in

   height of rice container = 12 in

  12 ÷ 8 = 1.5

⇒ height of rice container is 1.5 times the height of the sugar container

volume of sugar container = 157 in³

volume of rice container = 235.5 in³

235.5 ÷ 157 = 1.5

⇒ volume of the rice container is 1.5 times the volume of the sugar container

4. volume of flour container = 12.56 x 4 = 50.24 in³

5.  volume of sugar container = 157 in³

    volume of rice container = 235.5 in³

    volume of flour container = 50.24 in³

Rice container has the greatest volume

Flour container has the smallest volume

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A=9,b=-24 <br> Evaluate a +b for the given valus
aliina [53]

Step-by-step explanation:

A + b

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9 + (-24)

9 - 24

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2 years ago
True or false pls no guessing
marshall27 [118]

Answer:

True

Step-by-step explanation:

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1 year ago
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NO ONE EVER ANSWERS MY QUESTIONS I NEED HELP PLEASE!!! 2 problems Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM. a
almond37 [142]

To solve this problem we will use sinus theorem.

It's general form is

a/sinα = b/sinβ = c/sinγ  

In this case it reads ML/sin∡K = KL/sin∡M = KM/sin∡L  =>

ML/sin∡K = KL/sin∡M  =>  12/sin60° = KL/sin45° => 12/(√3/2) = KL/(√2/2) =>

2*12/√3 = 2*KL/√2 => We will divide whole equation with number 2 and get

12/√3=KL/√2 => KL*√3=12√2 => KL=(12√2)/√3

When we rationalize denominator we get  KL=4√6≈ 4*2.45= 9.8

Considering that we know two angles we will calculate the third

∡K+∡M+∡L=180° => 60°+45°+∡L=180° => ∡L= 180-105=75°

Reason- The theorem of the sum of the inner angles of the triangle

ML/sin∡K=KM/sin∡L => 12/sin60°=KM/sin75°

We will calculate  sin75° = sin (30+45)= sin30 *cos45+cos30*sin45 =>

sin75°= 1/2 * √2/2 = √3/2 * √2/2= √2/4 *(√3+1)≈(1.41/4)*(1.73+1)=0.96

12/(√3/2)=KM/0.96 => 12*2/√3=KM/0.96 => 13.87=KM/0.96 =>

KM=13.87*0.96= 13.31

Perimeter of ΔKLM => P=KL+ML+KM= 12+9.8+13.31= 35.11

In the same way you can calculate perimeter of ΔMNO.

Good luck!!!


4 0
3 years ago
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Answer:

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Step-by-step explanation:

<u>Sum of those 4 integers is:</u>

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<u>If the smallest ones are 1, 2 and 3, then the greatest possible integer is:</u>

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2 years ago
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