All categories

3 years ago

The surface area of which composite figure is the sum of the areas of eight triangular faces?

Mathematics

2 answers:

ycow [4]3 years ago

4 0

The answer is B)Two rectangular pyramids joined at two congruent lateral faces

creativ13 [48]3 years ago

4 0

Answer:

Option B. is the answer.

Step-by-step explanation:

As you can see from the figure attached, Rectangular pyramid has five faces. Four triangular and one rectangular face.

In this question we have to find the a composite figure which has eight triangular faces.

Therefore, by adding two rectangular pyramids by common rectangular base we can get the composite figure with eight triangular faces.

Option B. will be the answer.

You might be interested in

Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab

Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

$\frac{14x}{14}=\frac{56}{14}\\x=4$

Hence,

Audrey can afford 4 hours of lesson.

7 0

3 years ago

Find the slope between the following points:

bazaltina [42]

Answer:

1. y = -0.6x + 5.4.

2. The entered points belong to a vertical line. There is no slope.

Equation: x = 6

3. y = 0.16667x + 5.5.

4. The entered points belong to a vertical line. There is no slope.

Equation: x = -8.

Step-by-step explanation:

7 0

3 years ago

While preparing to visit the United States, Greg exchanged 200 Canadian dollars for 1/5 fewer U.S dollars. After spending ¾ of t

Tomtit [17]

After exchanging his Canadian dollar to U.S dollar, Greg only has 4/5 of 200 which is equal to 160 U.S dollars. He had spent 3/4 of the U.S dollars he has, which means that he had spent 3/4 of 160 or equal to 120 U.S dollars. He is then left with only 40 U.S. dollars.

7 0

3 years ago

Please help !!!!!!!!!

givi [52]

Answer:

The angle between the ramp and the horizontal is 11.54 degrees

Step-by-step explanation:

Here, we want to get the angle between the ramp and the horizontal

What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle

Now, the angle we want to calculate is the angle that faces the measure 2 m

The given measure of 10 m will represent the hypotenuse of the right triangle

The trigonometric ratio that links the hypotenuse and the opposite is the sine

The sine is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sin theta = opp/hyp

sin theta = 2/10

sin theta = 0.2

theta = sin^-1 0.2

theta = 11.54

4 0

3 years ago

A survey claims that a college graduate from Smith College can expect an average starting salary of $ 42,000. Fifteen Smith Coll

jek_recluse [69]

<h2>Answer with explanation:</h2>

Let $\mu$ be the average starting salary ( in dollars).

As per given , we have

$H_0: \mu=42000\\\\ H_a:\mu$

Since $H_a$ is left-tailed , so our test is a left-tailed test.

WE assume that the starting salary follows normal distribution .

Since population standard deviation is unknown and sample size is small so we use t-test.

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$ , where n= sample size , $\overline{x}$ = sample mean , s = sample standard deviation.

Here , n= 15 , $\overline{x}= 40,800$ , s= 225

Then, $t=\dfrac{40800-42000}{\dfrac{2250}{\sqrt{15}}}\approx-2.07$

Degree of freedom = n-1=14

The critical t-value for significance level α = 0.01 and degree of freedom 14 is 2.62.

Decision : Since the absolute calculated t-value (2.07) is less than the critical t-value., so we cannot reject the null hypothesis.

Conclusion : We do not have sufficient evidence at 1 % level of significance to support the claim that the average starting salary of the graduates is significantly less that $42,000.

3 0

3 years ago