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3 years ago

Find the surface area of the following triangular prism.

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Steps:
Find the 2D area of the two triangles:
- multiply 6 x 8 and divide it by 2 (this is the bottom triangle.)
** don't use 10 because it is the hypotenuse.
- 6 x 8 = 48
- 48 / 2 = 24 (you will need to use this twice since there are 2 triangles)

Now find the 2D area of the three rectangles
- first you have to convert 4 yd to feet.
**1 yd = 3 ft
~4 yd = 12 ft
-now multiply 12 x 10
- 12 x 10 = 120ft (use this 3 times since there are 3 rectangles)

Now add all those together:
120 + 120 + 120 + 24 + 24 = 408

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Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD

levacccp [35]

Given:

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

To find:

Whether it is possible that Line AB intersects line CD.

Solution:

We have,

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

The angles $m\angle ABC$ and $m\angle BCD$ are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

$m\angle ABC+m\angle BCD=65^\circ+105^\circ$

$m\angle ABC+m\angle BCD=170^\circ$

$m\angle ABC+m\angle BCD\neq 180^\circ$

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

6 0

3 years ago

Please help!!!! I'll give brainliest! Image of question is attached.

Maurinko [17]

Answer:

(x - 8)² - 64

Step-by-step explanation:

x²- 16x

x² - 2x(8) + 8² - 8²

(x - 8)² - 64

4 0

3 years ago

Read 2 more answers

Zero is a divisor. O always O sometimes O never

lys-0071 [83]

Answer: the answer is never

Step-by-step explanation:

8 0

3 years ago

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

RideAnS [48]

Since the number of members attending is 40, you can eliminate 17 as a possible answer, as it is smaller than 40. You can also eliminate 240 because 40 members is 60%, so the answer must be less than 80. You are now left with 67 and 73.

It is (a) because 40 divided by 67 = 0.597. 0.597 x 100 = 59.7% which is rounded to 60% of the club

4 0

3 years ago

Read 2 more answers