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3 years ago

What is a rectangular prism with a surface area of 96 square meters

Mathematics

2 answers:

goldenfox [79]3 years ago

8 0

If you're asking for the measurements, they are...

Length (l) = 4 ft.
Width (w) = 4 ft.
Height (h) = 4 ft.

mrs_skeptik [129]3 years ago

5 0

Answer:

Rectangular prism is a square prism with side = 4 meters

Step-by-step explanation:

A rectangular prism with a surface area = 96 square meters

Means 2(length×width + height×width + length×height) = 96

One possible solution is when length = width = height

2×3×side² = 96

6 × side² = 96

side² = 96/6 = 16

side = 4

Therefore length = width = height = 4 meters.

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Car a is 30 miles ahead of car b car a is going 60 mph and car b is going 70 mph how long will it take car b to catch car a

frez [133]

Answer:

3 hours

Step-by-step explanation:

After one hour, car a will be only 20 miles ahead of car b, after two hours, car a will only be 10 miles ahead of car b, and after 3 hour, they will both be equal. This is because car b is going 10 mph faster than car a, because 70-60=10. every hour, car b will catch up to car a by 10 miles.

Leave a thanks if I am correct

4 0

3 years ago

For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, o

Andrei [34K]

Answer:

a. ∫ xSinx dx

iii. integration by parts

u =x and dv= sinx

b. ∫ x⁴/(1+x³). dx

ii. neither

Long division is an option here before integration is done

c. ∫ x⁴. e^x³. dx

i. substitution

where u = x⁵

d. ∫x⁴ cos(x⁵). dx

i. substitution

where u = x⁵

e. ∫1/√9x+1 .dx

i. substitution

where u = 9x+1

6 0

3 years ago

Find the value of tan30+cot30+sin60

Aliun [14]

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be $(\frac{\sqrt{3}}{2},\frac{1}{2})$ .

For the angle measure 60, the point will be $(\frac{1}{2},\frac{\sqrt{3}}{2})$ .

The tangent value of a point will be its $y$ value over its $x$ value.

$\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}$

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

$\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}$

The sine value of a point will be the $y$ value of the point.

$\frac{\sqrt{3}}{2}$

So the values we have so far are $\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}$

Now we have to find the LCD to add these together, which in this case would be 6.

$\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}$

Which adds up to $\frac{11\sqrt{3}}{6}$ , which is in simplest radical form.

Hope this helps!

8 0

3 years ago

One building is 60 stories tall, and a second building is 48 stories tall. What is the ratio, in simplest terms, of the number o

Kobotan [32]

Answer:

Ratio is : 5/4 or 5 : 4

Step-by-step explanation:

The ratio of the number of stories in the first building to the number of stories in the second building :

60 : 48 or 60/48

Both numbers have 3 and 4 as common factors. So

3 * 4 * 5 : 3 * 4 * 4

5 : 4 is the ratio in the simplest terms striking of the common factors.

8 0

3 years ago

Read 2 more answers

2.You have a special survey tool that lets you look up at objects at a 30 degree

morpeh [17]

The height of the building as it appears on the view finder is 18.5 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the building.

Using trigonometric ratio:

tan(30) = h / 32
h = 32 * tan(30)
h = 18.5 feet

The height of the building as it appears on the view finder is 18.5 feet.

Find out more on Trigonometric ratio at: brainly.com/question/1201366

3 0

2 years ago