Answer:
174 units²
Step-by-step explanation:
There are a few different ways you can find the altitude of the trapezoid. Consider the attached figure with some points and lines added. SQ' is parallel to TQ, so Q'Q = 4 and PQ' = 21. Based on the side length of PS = 13, you can <u>guess</u> that the height is 12. (5-12-13 is a commonly-used Pythagorean triple.) This would make PP' = 5, P'Q' = 16, and triangle SP'Q' have side lengths 12, 16, and 20, corresponding to a 3-4-5 right triangle multiplied by 4.
Another way to find the height is to use Heron's formula for the area of triangle PSQ'. The side lengths are 13, 20, 21, so the half-perimeter is 27 and the area is √(27(27-13)(27-20)(27-21)) = √(9²·14²) = 126. The base of the triangle, PQ', is 21, so the height is ...
... h = 2A/b = 2·126/21 = 12
The area of parallelogram Q'STQ is then ...
... A = bh = 4·12 = 48
and the total area is the triangle area plus the parallelogram area:
trapezoid area = 126 + 48 = 174 . . . . units²
_____
Of course, with the height known, the usual formula for the area of a trapezoid can be used:
A = (1/2)(b1 +b2)h
A = (1/2)(25 +4)·12 = 29·6 = 174 . . . . units²
Answer:
Which of the following sentences contains an infinitive?
A.
Travis practiced pitching to the side of the house until his mom got mad.
B.
Elyza planned to take the train to the fairgrounds on Thursday afternoon.
C.
Meghan led her horse to the barn just before the big thunderstorm hit.
D.
Charlotte took her cousin Clay to the movies each year on his birthday.
Which of the following sentences contains an infinitive?
A.
Travis practiced pitching to the side of the house until his mom got mad.
B.
Elyza planned to take the train to the fairgrounds on Thursday afternoon.
C.
Meghan led her horse to the barn just before the big thunderstorm hit.
D.
Charlotte took her cousin Clay to the movies each year on his birthday.
Step-by-step explanation:
Which of the following sentences contains an infinitive?
A.
Travis practiced pitching to the side of the house until his mom got mad.
B.
Elyza planned to take the train to the fairgrounds on Thursday afternoon.
C.
Meghan led her horse to the barn just before the big thunderstorm hit.
D.
Charlotte took her cousin Clay to the movies each year on his birthday.
Answer:
The correct answer: 0.05404
Step-by-step explanation:
Given:
Binomial distribution = x
n = 10
and p = 0.09
solution:
P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10
So the probability is calculated by the Formula:
P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)
putting the given values in the formula
= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))
= 0.0540400
Thus, the correct answer: 0.05404
Answer:
2√46
Step-by-step explanation:
√184
√4 √46
2√46 Final Answer
Answer:
[A] use the complementary relationship between sine and cosine to rewrite sin(x + y) as cos(pi/2-(x+y)). apply the cosine sum identity. then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
Step-by-step explanation:
i got it right
screw that other person l0l
note that sin(-x)=-sin(x) and cos(-x)=cos(x)
so sin(-y)=-sin(y) and cos(-y)=cos(y)
or something like that idfk
