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4 years ago

What is "Centroid of a triangle" and why is it important?

1 answer:

4 0

The centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle. It can help you determine the proportions and angles within the triangle.

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Radha and her 5 friends took part in a marathon relay. they ran a total distance of 42 km and 195 m. if each friend ran 7 km, ho

Mariulka [41]

Let the total distance travelled by Radha be x .

Total number of friend = 5

total distance travelled by each friend is 7 km

$\\$

so,

$\\$

$\large{\mapsto{x\:+\:7\:×\:5\:=\:42.195}}$

$\large{\mapsto{x\:+\:35\:=\:42.195}}$

$\large{\mapsto{x\:=\:42.195\:-\:35}}$

$\large{\mapsto{x\:=\:7.195\:km}}$

as per our assumption .

that total distance travelled by Radha is x

so total distance travelled by Radha is 7.195 km

5 0

3 years ago

Read 2 more answers

I don’t understand how to do this problem. How would I solve it?

artcher [175]

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula $v_f=v_o+at$ , where $v_f$ is the final velocity, $v_o$ is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

$0=5+(-32)t$

$t=5/32$ seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: $d=v_o t+\frac{1}{2}at^2$

$d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172$ feet

For the second part, you can use the equation $d=v_o t+\frac{1}{2}at^2$ again. Since the initial velocity for this part is 0, you can set up the following equation:

$92+1.172=\frac{1}{2}\cdot 32 \cdot t^2$

$t \approx 2.413$

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

3 0

3 years ago

For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second n

snow_lady [41]

Answer:

Part A: 100%
Part B: 50%

Step-by-step explanation:

The difference between 10 and 5 is 5

5 is 100% of 5, so 10 is 100% greater than 5 (part A)

5/5 = 1 = 100%

5 is 50% of 10, so 5 is 50% less than 10 (part B)

5/10 = 1/2 = 50%

Part A is 100%, and Part B is 50%

-Chetan K

4 0

2 years ago

What is the value of x in the parallelogram if two corners are 60 degrees

Phantasy [73]

Answer:

Can I have a picture/image if possible?

Step-by-step explanation:

8 0

3 years ago

Expand completely using the Binomial Theorem (3y - x)^4

AleksAgata [21]

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

4 0

3 years ago