Complete the proportion to compare the first two triangles

The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: $h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d$

To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height

Solution:

(a)

$-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres$

(b)

Put d = 100 in $h=-0.002d^2+0.3d$

$h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres$

4 0

3 years ago

The table represents a function.

Amiraneli [1.4K]

The answer is less than :)

4 0

3 years ago

Read 2 more answers

Ethan writes 2/3 of a page in 5/12 of a minute. How much time does it take him to write one page

Nataliya [291]

2/3 of a page in 5/12 of a minute

Multiply both fractions by 3/2

$\frac{2}{3} \times \frac{3}{2} = 1$

$\frac{5}{12} \times \frac{3}{2} = \frac{5}{4} \times \frac{1}{2}=\frac{5}{8}$

So, Ethan can read 1 page in 5/8 of a minute.

8 0

3 years ago

Susan currently has an account balance of $1,336.60. Her initial deposit on the account was $820 and it earned 4.5% simple inter

emmasim [6.3K]

The correct option will be : 14 years

<u><em>Explanation</em></u>

Current account balance of Susan is $1,336.60 and her initial deposit was $820

So, the amount of interest earned $= 1336.60-820= 516.60$ dollar

Formula for Simple Interest is: $I= P*r*t$ , where $I$ is the amount of interest, $P$ is the initial amount, $r$ is the rate of interest in decimal and $t$ is the time duration in years.