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Colt1911 [192]
2 years ago
5

Can someone answer this please

Mathematics
2 answers:
Nana76 [90]2 years ago
6 0
Area is trapezium =
A=1/2h(a+b)

84=1/2(6)(7+b)

84=3(7+b)

84=21+3b

3b=84-21

B=63/3

B= 21 cm

I’m sorry if my answer turned out to be wrong but I tried my best so best of luck !!
LiRa [457]2 years ago
5 0

Answer:

x = 14

Step-by-step explanation:

Please note, the word trapezium is a synonym for the word trapezoid.

This problem gives one the area of the trapezoid, a well as one of the measurements of a base and the height of the figure. One is asked to find the length of the other base. This can be done by using the formula to find the area of a trapezoid. This formula is the following,

A=(h)(\frac{b_1+b_2}{2})

Where (A) represents the area of a trapezoid, (b_1) and (b_2) represents the bases and (h) represents the height. Substitute in the given values and solve for the unknown base.

b_1=7\\h=6\\A=84

A=(h)(\frac{b_1+b_2}{2})\\

Substitute,

84=6(\frac{7+b_2}{2})\\

Inverse operations,

84=6(\frac{7+b_2}{2})

14=\frac{7+b_2}{2}

28=7+b_2

14=b_2

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lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

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(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

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