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3 years ago

If all the dimensions of a cube are doubled, then the new volume is___ times greater.

2 answers:

8 0

The formula for finding the volume of a cube is $s^{3}$ , where s is the side length.

The formula for a cube with each side length doubled is $(2s)^{3}$ , or 8<span>s.

</span><span>If all the dimensions of a cube are doubled, then the new volume is eight times greater.</span>

juin [17]3 years ago

7 0

It is eight times greater I believe

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

7 0

3 years ago

Write a numerical expression to represent the number of apps Priscilla and Cynthia have combined. (Do not simplify the expressio

Arturiano [62]

Answer:

P+C=x?

If there was no numerical data, than that is probably the answer. Is it multiple choice?

4 0

3 years ago

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Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ?

valina [46]

9514 1404 393

Answer:

(-11, -8)

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

For X(-11, 8), the reflected point is X'(-11, -8). (matches the last choice)

5 0

3 years ago

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3 and 4 I need help with so confusing

nadya68 [22]

Answer: 3. (3,-3) and 4. (-3,4)

Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.

7 0

2 years ago

I'm not sure about 38 - 53 please help! :)

Maru [420]

38. 6900 grams
39. 19600 grams
40. 27910 grams
41. 32840 grams
42. 610 grams
43. 970 grams
44. 3712 grams
45. 8937 grams
46. 37 grams
47. 69 grams
48. 1510 grams
49. 4700 grams
50. 150 grams
51. 15 grams
52. 15200 grams
53. 460

I'm sorry if these are wrong but I hope this could help.

5 0

3 years ago

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