9514 1404 393
Answer:
8 units
Step-by-step explanation:
Displacement is the area under the velocity curve. The area of interest is in the shape of a trapezoid, so we can use the formula ...
A = (1/2)(b1 +b2)h
to find the area.
Here, b1=3, b2=1, h=4, so the area is ...
A = (1/2)(3 +1)(4) = 8
The displacement is 8 units in the time from t=1 to t=4.
Answer:
b
Step-by-step explanation:
first, group the terms with the same power together and it would become (-9n⁵-4n⁵)+(n³-9n³)+(11n+6n). then, combine the terms in each group together which would get -13n⁵-8n³+17n as the answer
Answer:
6. Should be 10
8. X=120 degrees
Step-by-step explanation:
6. If you add 5+2+3, it equals 10
8. two of the sides are right angles. Together, they add up to be 180 degrees. the other angle is 60 degrees. 180 and 60 together are 240. Then, subtract from 360 since your shape is a quadrilateral. 360-240=120
Step-by-step explanation:
and are two fractions that are greater than 1 but less than 2 with a denominator of 3;
The denominator is the lower number in a quotient
Numerator is the upper number in a quotient
To solve this problem, we need to think creatively:
A fraction is made up of a numerator and denominator.
The denominator in this case must be 3
The numerator can be any number;
since the solution of our fraction must be greater than 1, this implies that the numerator must higher than the denominator.
if the denominator is higher, we get a solution less than 1.
since the solution must be less than 2, the value lies between 1 and 2.
The solution to the problem is and
learn more:
fraction brainly.com/question/1757979
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Answer:
2.9 units
Step-by-step explanation:
Here the leg lengths are x and 7.7 and the one given angle is 21 degrees.
Think: which trig function incorporates both the length of the side opposite the 21 degree angle (x) and the vertical side (7.7)? It's the tangent function:
tan Ф = opp / adj
To be clear: the side adjacent (next to) the 21 degree angle is 7.7 units in length and the side opposite this angle is x.
Then we have tan 21 degrees = opp / adj = x / 7.7
and so 7.7(tan 21 degrees) = 7.7(03839) = 2.96 or (to one decimal place) 2.9
