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2 years ago

Which expression is equivalent to (nmp)(x), given m(x) = sinx, n(x) = 3x, and p(x) = x^2

Mathematics

2 answers:

Lady bird [3.3K]2 years ago

4 0

The right answer is b.I hope it helps

snow_tiger [21]2 years ago

4 0

I got B!! Hope this helps

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At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of ga

melisa1 [442]

Answer:

The equation will be:

C = 2.75g

Step-by-step explanation:

Given that at one station, gas costs $2.75 per gallon.

Let 'g' be the number of gallons of gas purchases

Let 'C' be the total cost

Thus, the expression for total cost can be generated by multiplying the price per gallon by the number of gallons.

Thus,

C = 2.75g

Therefore, the equation will be:

C = 2.75g

6 0

2 years ago

In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest measure? A T BCANNT BE DETERMINDED C R D S

Scrat [10]

Answer:

Correct answer is option A. T

Step-by-step explanation:

Given that

In a $\triangle RST$ , RS = 7, RT = 10, and ST = 8.

To find:

Smallest angle = ?

Solution:

We can use cosine rule here to find the angle.

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

Using the cosine rule:

$cos T = \dfrac{ST^{2}+RT^{2}-RS^{2}}{2\times ST \times RT}\\\Rightarrow cos T = \dfrac{8^{2}+10^{2}-7^{2}}{2\times 8 \times 10}\\\Rightarrow cos T = \dfrac{64+100-49}{160}\\\Rightarrow cos T = \dfrac{115}{160}\\\Rightarrow \angle T = cos^{-1}(0.71875)\\\Rightarrow \angle T = 44.05^\circ$

Now, let us use Sine rule to find other angles:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

$\dfrac{RS}{sinT} = \dfrac{ST}{sinR} = \dfrac{RT}{sinS}\\\Rightarrow \dfrac{7}{sin44.05} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow \dfrac{7}{0.695} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow sin R = \dfrac{8 \times 0.695}{7}\\\Rightarrow R = 52.58^\circ$