A triangle has an area of 20 cm2. If its base is 40% of its height, what is its height to the nearest tenth of a centimeter?

Answers

Answer 1
Answer:

Answer:

10cm

Step-by-step explanation:


Answer 2
Answer: Let's call the base a and the height h
a.h/2 = 20
a.h = 40
2/5h.h = 40 (because a = 40%h)
h^2 = 100
h = 10
a = 4

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The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?

Answers

So, 30 is the perimeter. We are told the table is twice as long as it is wide.

So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.

So,

the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.

So,

10+5+10+5 = 30feet. This proves that the sides are these two numbers.  

What is more precise 5 kg or 5212 g

Answers

5212 grams, because it uses a smaller and more specific unit.
5 kg is 5212 g rounded to the nearest kilogram.

The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?

Answers

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

Given the following function:

  • f(x) = -16t² + vt + s.
  • Displacement, s = 6ft.
  • Velocity, v = 25 ft/s.

How to calculate the amount of time?

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

Read more on quadratic equation here: brainly.com/question/1214333

Answer:

B

Step-by-step explanation:

The verified dude saisd so

The prism base is 24mm the perimeter of the base is 22mm the height of the prism is 5 mm what is the surface area of the prism

Answers

What type of prism is it?

"Josewants to attend the same college that his older brother attended. After researching it on the school's website,he estimates that tuition for his freshman year of college will be about $19,500. Both of Jose’s parents work, andthey are each able to save $350 a month for the next 2 years before Josegoes to college. Josewill need to relyon financial aid and scholarships for the remainder of his tuition. How many dollars willJoseneed to receive infinancial aid and scholarships to be able to afford tuition for his freshman year? A.$19,150 B.$2,700 C.$11,100 D.$18,800"

Answers

Answer:

C, $11,100

Step-by-step explanation:

First, we know that there are 12 months in a year, and they can save $350 a month together. 350 x 12 is 4200. That is for one year, and we need to find it for two years. 4200 x 2 is $8400. That’s the total he could save for college, and tuition costs $19500, so 19500 - 8400 = 11,100. Jose needs $11,100 in scholarships and financial aid for tuition.

Final answer:

The answer is B. $2,700. After his parents save $16,800 over two years, Jose will need $2,700 in financial aid and scholarships to meet the cost of his estimated freshman year tuition of $19,500.

Explanation:

First, let's calculate the total amount that Jose's parents will be able to save for his college tuition. They can save $350 each per month for 2 years. That's $350 x 2 x 12 x 2 = $16,800. Jose's estimated tuition for his freshman year of college is $19,500. Now, if we subtract the total amount his parents will save from the estimated tuition, we can calculate how much money Jose will need to receive in financial aid and scholarships to be able to afford tuition. This would be $19,500 - $16,800 = $2,700. So, Jose will need to receive $2,700 in financial aid and scholarships to be able to afford the tuition for his freshman year. Hence, the correct answer is B. $2,700.

Learn more about Financial Aid Calculation here:

brainly.com/question/13419996

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A migrating bird flies 494 miles in 13 hours. how many miles does it fly in 5 hours

Answers

It is easier to solve problems like these by first taking the unit rate. In this case, we look for how many miles can the bird fly per hour. This is done by dividing the total distance by the total time.

Rate = 494 miles / 13 hours
Rate = 38 miles / hour

Multiplying this by 5 hours:
38 miles / hour * (5 hours) = 190

Therefore, the migrating bird flies 190 miles in 5 hours.