Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an
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Answer:
The area of the triangular case = 61.2 square inches
Step-by-step explanation:
P.S - The exact question is -
Given - Mr. Sanders wants to display his American flag in a triangular case as shown below.
To find - What is the area of the triangular case ?
Proof -
Given that,
Base of triangle =
Height of triangle = 8.5 in
We know that,
Area of triangle =
=
=
=
= 61.2
∴ we get
The area of the triangular case = 61.2 square inches
The factorization of is
.
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial;
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;
Hence, the factorization of is
.
To know more about factorization click the link given below.
Answer:
both fireworks will explode 4.5 seconds after Firework B launches
Step-by-step explanation:
Given;
speed of firework A, = 360 ft/s
speed of firework B, = 340 ft/s
If the two fireworks explodes at the same height, then the height attained by the two fireworks are equal.
let the distance traveled by each firework before explosion = d
Distance = speed x time
Distance A = Distance B
speed A x time = speed B x time
let the time both fireworks explodes after Firework B launches = t
() t = (
) t
360t = 340t
if firework B is launched 0.25 s before Firework A, for the time of the two fireworks to be equal since we are considering time (t) after 0.25 seconds, we will have;
360(t-0.25) = 340t
360t - 90 = 340t
360 t - 340 t = 90
20 t = 90
t = 90/20
t = 4.5 seconds
Therefore, both fireworks will explode 4.5 seconds after Firework B launches