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3 years ago

A cone has radius 3 and height 4. Your classmate calculates its surface area as shown:

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

7 0

Answer:

2pi*rh+2pi r^2

Step-by-step explanation:

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In which expression would you complete the operation first and then find the absolute value of the sum?

Liula [17]

A. |11/8+2/3| (this is because the rest of the answers are either adding or subtracting two different absolute values)

8 0

2 years ago

The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possi

Veronika [31]

The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.

Use cosine theorem to determine the cosine of the largest angle:

$15^2=x^2+(2x)^2-2\cdot x\cdot 2x\cdot \cos \alpha,$ where $\alpha$ is the largest angle.

Then

$225=x^2+4x^2-4x^2\cos \alpha,\\ \\\cos \alpha=\dfrac{225-5x^2}{-4x^2}=\dfrac{5x^2-225}{4x^2}.$

Since $\cos \alpha>0,$ then

$\dfrac{5x^2-225}{4x^2}>0\Rightarrow 5x^2-225>0.$

Divide this inequality by 5:

$x^2-45>0,\\ \\(x-3\sqrt{5})(x+3\sqrt{5})>0,\\ \\x\in (-\infty,-3\sqrt{5})\cup (3\sqrt{5},\infty).$

Note that $3\sqrt{5}\approx 6.71,$ then the smallest possible whole-number value of x is 7.

Answer: correct choice is B

6 0

3 years ago

Read 2 more answers

Which equation is equivalent to the expression (-2x to the power of two) (3x to the power of 5)?

navik [9.2K]

Answer: pretty sure the answer is D

Step-by-step explanation:

7 0

2 years ago

The minimum monthly payment for anita's credit card is 2% of her balance or $10, whichever is higher. if anita's balance at the

ioda

Answer:

Step-by-step explanation:

⇒minimum payment is 2% of her balance or 10 bucks...whichever is greater...

her balance is 360

2% of 360 =

0.02(360) = 7.20

$ 10 is greater then 7.20 so ur answer is $ 10

pls mark as brainlesttttt

5 0

3 years ago

Read 2 more answers

there are 12 state quarters and 5 regular quarters in a bag. Rees randomly picks up a quarter and then puts it back in the jar a

densk [106]

There will be 17 quarters in the bag (12 which are state and 5 which are regular). The probability of the state quarters picked on the first try would be 12/17 while the probability of the second will be 5/17. If Rees put the state quarter back in the jar, then probability that the second quarter will be a regular quarter will remain 5/17.

8 0

3 years ago