All categories

1 year ago

Two prisms are similar and their ratio of similarity is 3:8.

Mathematics

1 answer:

trapecia [35]1 year ago

5 0

Answer:

8.63 square units

Step-by-step explanation:

you must set up a proportion.

3 x

- = -

8 23

after you set up that proportion, cross multiply to find x.

8x = 69

divide by 8

x = 8.625, rounded to 8.63

You might be interested in

Traffic flow is defined as the rate at which cars pass through an intersection

lianna [129]

That is words not question. lol i feel u

3 0

3 years ago

Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

Keisha and Jen went out to eat for dinner their meal together were $45.76 they want to leave a 20% tip how much total

GREYUIT [131]

$54.91 is their new total

4 0

2 years ago

Read 2 more answers

William opens a credit card with an APR of 18.63% compounded monthly. How much is charged in interest this month if his balance

Karo-lina-s [1.5K]

I think you find 18.63% of $835 and then you get your answer. I am pretty sure it is $155.56, hope this helps.

6 0

3 years ago

5. Suppose that a study of oral contraceptive (OC) use and development of bacteriuria was conducted among 2,390 women, all of wh

Klio2033 [76]

Answer:

Cohort study

Step-by-step explanation:

The study described above is closely related to a cohort study in that Cohort studies mainly observes the participants who might or might not have been exposed to a particular effect or drug, in this case the oral contraceptive and bacteriuria development. The effect of exposure is observed for a certain period time usually called the follow-up period. Conversely, experimental study will require that participants are divided into groups with one group being exposed to the treatment while the other will be the placebo.This isn't the case in the study described above, hence, it is closely related to a cohort study.

8 0

2 years ago