Step-by-step explanation:
a. Pythagoras formula stated above
so 9²+12²
81+144 is 225
√252 is 15cm
b. in this question well have to use surds
an isosceles triangle had a 90 and 2x45 degree angles
we hypotenuse is 10cm
√a²+a² =10cm
√2a² is 10cm which makes
a√2 equals 10
then rearrange
a=10/√2= 5√2
the answer is 5√2
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
They are alike because you are just doubling the number by 2
Answer:
He brought 3 dozen cookies
She ate of the bag of Doritos
She read 25 books
Step-by-step explanation:
∵ Mike makes 4 dozen cookies
∵ He brings 75% of them for a party at his school
- Multiply 75% by 4
∵ 75% =
∴ He brought = × 4
∴ He brought = 3
He brought 3 dozen cookies
∵ Sam bought a bag of Doritos
∵ She ate only 40% of them
∵ 40% =
∴ She ate = × 1
∴ She ate =
She ate of the bag of Doritos
∵ Jamie took 50 books from the library
∵ She only read half of her whole stack
- Multiply half by 50
∴ She read = × 50
∴ She read = 25
She read 25 books
Answer:
Step-by-step explanation:
What grade are you in bc i do not know the answer to this