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Gemiola [76]
3 years ago
6

Give right triangle PQR, which representa the value of sin (P)?

Mathematics
2 answers:
Komok [63]3 years ago
4 0

sinR = \frac{QR}{PQ}

noting that the sin ratio = \frac{opposite}{hypotenuse}

opposite to ∠P is QR and hypotenuse is PQ ( opposite right angle )


Bess [88]3 years ago
4 0

Answer:

Option (c) is correct.  

\sin P=\frac{RQ}{PQ}

Step-by-step explanation:

  Given : A right angled triangle.

We have to find the value of  \sin P

Consider the given right angled triangle.

Using trigonometric ratio,

The Sine of angle is the ratio of perpendicular to the hypotenuse.

Mathematically written as   \sin\theta=\frac{Perpendicular}{hypotenuse}

For the given triangle

\theta=P , Hypotenuse = PQ and perpendicular = RQ

Substitute, we have,

\sin P=\frac{RQ}{PQ}

Option (c) is correct.      

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Diameter = 18 cm
miskamm [114]

Answer:   B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula   v= pi * r^2    ,  input the value for pie and the radius and solve for  v  the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

7 0
2 years ago
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Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.
Rama09 [41]

The rate of change is 16.8 million tons per year

<em><u>Solution:</u></em>

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

<em><u>The average rate of change is given by formula:</u></em>

\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

<em><u>Substitute the given values in formula,</u></em>

<em><u></u></em>\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}<em><u></u></em>

Thus rate of change is 16.8 million tons per year

5 0
3 years ago
Please help me idk this
kupik [55]

Answer:

A. Twice the radius, d = 2r

Step-by-step explanation:

The diameter is a line that splits a circle in half, while the radius is only half of that.

4 0
2 years ago
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Answer:

Step-by-step explanation:

8 0
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A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 t
hichkok12 [17]

Answer: \dfrac{dT(t)}{dt}=77\times (450-T)

Step-by-step explanation:

Given

The temperature of the liquid is 75^{\circ}F placed in an oven with temperature of 450^{\circ}F.

Initially difference in temperature of the two

\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F

According to the question

\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]

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2 years ago
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