Find the value of 3 √ 512

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Step-by-step explanation:

finding for 3√512

=67.882250993908562

rounded to the n nearest whole number=68

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The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a

klemol [59]

The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

7 0

3 years ago

During a high school baseball tournament, Lexile hits a pitch and the baseball stays in the air for 4.42 seconds. The function d

ElenaW [278]

Answer:

a) The maximum height that the ball reaches is 73.1 meter

b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds

Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

Solution:

For maximum height

$\frac{dh}{dt} =0$