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3 years ago

What is the measurement of BC to the nearest centimeter?

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

a 8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

$a^2 = b^2 + c^2 - 2bc\cos A$

$a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ$

$a^2 = 25 + 121 - 110\cos 39^\circ$

$a^2 = 60.51$

$a = 7.779$

Answer: a = 8 cm

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Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area o

klemol [59]

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

To get more about spheres visit:

brainly.com/question/10171109

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2 years ago

What are the partial products for 52x27?

ElenaW [278]

Answer:

(50*20) + (50*7)+(2*20)+(2*7)

Step-by-step explanation:

52 is 50 + 2

27 is 20 + 7

(50*20) + (50*7)+(2*20)+(2*7)

8 0

3 years ago

If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?

Agata [3.3K]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

$h(x)=\log_2x$

$m(x)=\log_2(x+3)$

The function m(x) can be written as

$m(x)=h(x+3)$ ...(1)

The translation is defined as

$m(x)=h(x+a)+b$ .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=3,b=0$

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

3 0

3 years ago

Keianaka and Christopher are participating in a volunteer project painting homes for elderly people in their neighborhood. Keian

Burka [1]

The K-team can paint a whole house in 60 minutes (super fast!!!). How much of a house can the team paint in 1 minute? The K-team can paint 1/60 of a house per minute.

The C-team can paint a whole hose in 80 minutes. How much of a house can the team paint in 1 minute? The C-team can paint 1/80 of a house per minute.

Suppose both teams paint for the same amount of time -- call the time t (minutes).

Combine the work they do to paint 1 whole house:

$\frac{1}{60}t+\frac{1}{80}t=1$

Multiply all the terms by the Least Common Denominator, LCD = 240.

$240(\frac{1}{60})t+240(\frac{1}{80})t=240$

Now, can you finish it? By the way, the answer is not a whole number! Hint: it will be between 30 and 40 minutes.

8 0

4 years ago

The equation of line g is y = –2x − 10. Line h includes the point (–1, 9) and is parallel to line g. What is the equation of lin

zvonat [6]

Answer:

Equation for line h y = -2x +7

Step-by-step explanation:

Since the lines are parallel, their slope (m) must be the same.

Since they are in the form y=mx+b lets plug in the x and y values of line h.

y=mx+b

9= -2(-1) +b

9 = 2 + b

b = 7

lets plug this into the original equation.

y = -2x +7

7 0

3 years ago