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kaheart [24]
3 years ago
13

What would be the correct answer?

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

A  is the answer ._.

          your welcome

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41 to the nearest degree
Elden [556K]
The nearest degree would be 40
4 0
3 years ago
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
2 years ago
Please Help! I need an explanation for how to do this... Step-by-step directions would be great!
spin [16.1K]
\dfrac{8x^2y^2-4xy^2}{4xy}=\\
\dfrac{8x^2y^2}{4xy}-\dfrac{4xy^2}{4xy}=\\
2xy-y

8 0
3 years ago
Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 45
krok68 [10]

Answer:

a

The 95% confidence interval is 1003  <  \mu

b

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu =  1000

   The sample size is  n =  453

   The sample mean is  \= x  = 1013

    The standard deviation is s =  108

   

Given that the confidence level is  95% then the level of significance is mathematically represented as

            \alpha  =  100 - 95

=>         \alpha  =  5\%

=>          \alpha  = 0.05

The critical value  for \frac{\alpha }{2} obtained from the normal distribution table is          

          Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

=>     E =  1.96 *  \frac{108}{\sqrt{453} }

=>      E = 9.946

Generally the 95% confidence interval is mathematically represented as

           \= x  - E  <  \mu <  \= x + E

=>         1013  - 9.946  <  \mu < 1013  + 9.946

=>         1003  <  \mu

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States

 

4 0
3 years ago
Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one third of the volume of Prism
timurjin [86]
A + B + C = 518 ft^3
A = 1/3B, or 3A = B
B = C
A + B + C = 518 ft^3
1/3B + B + B = 518
7/3B = 518
B = 518×3/7 = 222 ft^3
A = 1/3B = 1/3×222 = 74 ft^3
C = B = 222 ft^3
5 0
3 years ago
Read 2 more answers
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