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Tom [10]
3 years ago
10

A sphere of radius 2x m has an area of ​​152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere

of radius r = 3x measure?
Pls help
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

I don't know what's going on at all possible for you

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Determine the values of the unlabeled parts of the triangle.
____ [38]

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ  :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47

4 0
3 years ago
In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees ar
gavmur [86]

Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

3 0
4 years ago
Name the angle that is supplementary to
tatuchka [14]

Answer:

i

Step-by-step explanation:

8 0
3 years ago
What is the sum of 4 and 2 raised to the third power
Nookie1986 [14]

Answer:

216

Step-by-step explanation:

4+2=6

6^3=216

6 0
2 years ago
9. The water level is 3 feet below your dock. The tide goes out, and the water level lowers 1 foot. A storm surge comes in, and
guapka [62]
We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)

New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.

Mark as brainliest pls. Any concern or comment, talk to me.
3 0
3 years ago
Read 2 more answers
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