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mezya [45]
3 years ago
15

54/6 simplify and show your work?

Mathematics
2 answers:
kaheart [24]3 years ago
7 0
54/6
you would start by thinking of what number could go to both the numerator and the denominator, so in this case, a number that would go to 54 and 6 is 6, so divide both numbers by 6. 54 divided by 6 is 9, and 6 divided by 6 is 1, so the answer would be 6/1
kolezko [41]3 years ago
3 0
54/6= 9, because 6 can go into 54 9 times,so 6 times 9 = 54 and 54-54=0.you can check ur work by multiplying ur answer by 6,so it would look like 6 times 9
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Determine the measure of angle A, to the nearest degree.
Effectus [21]

Answer:

(a) 17°

(b) 78°

Step-by-step explanation:

(a) sin A= 0.2896

to calculate for "A" check for sin inverse of 0.2896

A= sin^-1(0.2896) = 16.83

to the nearest degree A= 17°

(b) tan A = 4.7046

A= tan^-1(4.7046)

A = 77.99

to the nearest degree A = 78°

4 0
1 year ago
I NEED HELP ASAP 20 POINTS
vekshin1
I am too lazy to do question 6 if u want the answer tell me

8 0
2 years ago
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f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
2 years ago
John scored 75, 82, 66, and 78 on his history tests. What score must John get on his next test in order to have a mean score of
Pachacha [2.7K]
[75 + 82 + 66 + 78 + x ] / 5 = 76

301 + x = 380

x = 79
3 0
2 years ago
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You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads
tino4ka555 [31]

P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)  

P(2 or H) = 1/6 + 1/2  - 1/12 = 7/12

5 0
3 years ago
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