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2 years ago

Pls, help with this!!!

Mathematics

2 answers:

Solnce55 [7]2 years ago

7 0

Answer:

The first one is 8/12.

Step-by-step explanation:Add numerator and keep denominator same.

wolverine [178]2 years ago

7 0

Answer:

5/12 + 3/12

Step-by-step explanation:

$\frac{5}{12} + \frac{3}{12} = \frac{8}{12}$

This is because when adding fractions with the same denominator, you just add the numerators.

The other answer choices do not equal 8/12...

$\frac{2}{4} + \frac{3}{4} + \frac{3}{4} = \frac{8}{4} = 2$

$\frac{2}{3} + \frac{3}{4} + \frac{3}{5} = \frac{40}{60} + \frac{45}{60} + \frac{36}{60} = \frac{121}{60} = 2 \frac{1}{60}$

$\frac{4}{6} + \frac{4}{6} = \frac{8}{6} = \frac{4}{3} = 1 \frac{1}{3}$

I hope this helps!

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In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the

Sveta_85 [38]

The correct option is: B. $25000=5000(1.043)^t$

Explanation

The general form of growth equation is: $A=P(1+r)^t$ , where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration

Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.

That means, $A= 25000 , P= 5000, r= 4.3\% = 0.043$

Now plugging these values into the above equation, we will get......

$25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t$

So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be: $25000=5000(1.043)^t$

8 0

2 years ago

Read 2 more answers

Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.

elena-s [515]

Answer:

sin θ ≈ -0.08667
cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

sin(-0.08678 radians) ≈ -0.08667

cos(-0.08678 radians) ≈ 0.99624

_____

Note on inverse tangent

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

Alternate solution

The relationship between tan and sin and cos in the 4th quadrant is ...

$\cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}$