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2 years ago

Anyone know the answer?

Mathematics

1 answer:

Afina-wow [57]2 years ago

6 0

Answer:

Step-by-step explanation: h

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Given that QRSTU=QXWVU, find

Mrac [35]

Angle UQR = Angle UQX since they are corresponding angles. Note how the top polygon reflects over the line QU to get the bottom polygon.

So because of this, and because angle UQX = 45, this means the answer is 45 degrees

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3 years ago

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For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?

lana [24]

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

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3 years ago

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A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

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3 years ago

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Which of the following must be true?

Ilya [14]

The answer is C, when numbers or variables are between "|" (also called bars) it means to remove any negative symbols and think of it as a positive number. If the number is already positive you keep it a positive number.

5 0

3 years ago

Use the circle graph to determine how many hours per day Becky spends on each activity.

Oduvanchick [21]

404 error: graph not found

anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours

all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity

percent means parts out of 100 so x%=x/100

so we have
School
Eating
Sleep
Homework
Free Time

School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours

Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours

Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours

Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours

Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours

Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours

3 0

3 years ago