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NISA [10]
3 years ago
10

Ester packed 9 boxes inside of a crate. Each box weighed the same amount. If the crate weighed a total of 92.16 kilograms, how m

uch did each box weigh?
Mathematics
1 answer:
Sonja [21]3 years ago
3 0
Each box weighed 10.24 kilograms because you would divide the weight they gave you by how many boxes were inside.
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The radius of a circle is 4 feet. What is the area of a sector bounded by a 72° arc?
densk [106]
<span>An angle whose vertex is the centre of a circle and whose sides pass through a pair of points on the circle is called a </span>

central angle. The following symbol, pronounced “theta”, is

<span> used to represent a central angle: . </span>

Each central angle forms an arc length between the points

<span> that it passes through on the circle. The arc length of a circle can be found by first calculating what fraction of the circle is represented by the central angle. Then you find the circumference of the circle. Finally, you find the fraction of that circumference. For example, if a circle has a radius of 10.0 cm and a central angle of 60°, to calculate the arc length for that angle we must first determine what fraction of the circle is represented by the central angle 60°. Since there are 360° in a full circle, we can find the fraction of a circle by simplifying ; The sector represents of the circle. To find the arc length, we now need to find the circumference </span>

of the circle. Circumference of a circle is equal to 2 r.

C 5 2 r

5 2 10.0

<span> 62.8 cm The circumference of this circle is about 62.8 cm. To find the arc length, we need to find of 62.8 cm. 62.8 10.5 cm The arc length formed by this central angle is about 10.5 cm. </span><span>
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8 0
3 years ago
Given: angle 1 and angle 2 form a linear pair,
iris [78.8K]

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

<em>We will write the proof in like a table</em>

1. ∠1 and ∠2 formed a linear pair  ⇒  1. Given

2. m∠1 + m∠2 = 180°  ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles  ⇒  3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3  ⇒  4. Given

5. m∠2 + m∠3 = 180°  ⇒  5. Substitution method

6. ∠3 is a supplement of ∠2  ⇒  6. Supplement of equal angles

7. ∠2 and ∠3 are supplementary  ⇒  7. Proved

8 0
3 years ago
Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
Alona [7]

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

6 0
3 years ago
What is the solution for 13.2 = t 4.4? I'm super like spazzed out right now and can't think.
Olegator [25]

Answer:

4.4 t = 13.2

t = 13.2 / 4.4 = 3

t = 3

Step-by-step explanation:

5 0
3 years ago
Hãy giúp mình dhvdsfbsdkjhg jefgfbd weg dsfws g g eew fr
Karo-lina-s [1.5K]
I don’t understand what are u saying pls translate
5 0
3 years ago
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