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3 years ago

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Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Answer:

Thank you ma'am. I have one

Step-by-step explanation:

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Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

6 0

3 years ago

Three co-workers are packing books in a storage bin. The bin is 4 feet high, 9 feet long, and 11 feet wide. If 6 books fill 1 cu

evablogger [386]

Alright, lets get started.

Height of the bin = 4 ft

Length of the bin = 9 ft

Width of the bin = 11 ft

Volume of the bin = $L*W*H$

Volume V $= 9*11*4$

Volume V $= 396$ cubic feet

6 books fiils 1 cubic feet

1 cubic feet is filled by = 6 books

So, 396 cubic feet is filles by $= 396 * 6$

So, 396 cubic feet is filles by $=2376$ books

It means 2376 books will fit in the storage bin. : Answer

Hope it will help :)

5 0

3 years ago

Read 2 more answers

Is the function y= sin(x)/x even, odd or neither

Bad White [126]

The function is odd

8 0

3 years ago

Read 2 more answers

A youth club organizer is plannning a day trip for the club members. The cost of the trip is $330 and club has already saved $75

alexgriva [62]

Answer:

Step-by-step explanation:

330 = 21x + 75

7 0

3 years ago

Trevon’s school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 adult tickets and 12 s

julsineya [31]

9514 1404 393

Answer:

adult: $7
student: $10

Step-by-step explanation:

Let a and s represent the prices of adult and student tickets, respectively.

13a +12s = 211 . . . . . . ticket sales the first day

5a +3s = 65 . . . . . . . ticket sales the second day

Subtracting the first equation from 4 times the second gives ...

4(5a +3s) -(13a +12s) = 4(65) -(211)

7a = 49 . . . . . . . simplify

a = 7 . . . . . . . divide by 7

5(7) +3s = 65 . . . . substitute into the second equation

3s = 30 . . . . . . . subtract 35

s = 10 . . . . . . . divide by 3

The price of one adult ticket is $7; the price of one student ticket is $10.

7 0

3 years ago