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3 years ago

In ΔGHI, h = 760 inches, ∠G=43° and ∠H=26°. Find the length of i, to the nearest inch.

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

1619

Step-by-step explanation:

I = 180 - 43 - 26 = 111

using sine rule

$\frac{i}{sin 111} = \frac{760}{sin 26}$

i = 1618.5 = 1619

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The winner of a race ran the distance in 45s at an average speed of 9.6 m/s. The runner who came in last finished and 48 seconds

RSB [31]

Answer:

The answer to your question is speed = 9 m/s

Step-by-step explanation:

Data

Winner Last runner

time = 45 s time = 48 s

speed = 9.6 m/s

Process

1) Calculate the distance they ran using the data of the winner

speed = distance / time

-Solve for distance

distance = speed x time

-Substitution

distance = (9.6)(45)

-Result

distance = 432 m

2.- Calculate the speed of the last runner

-Substitution

speed = 432/48

-Result

speed = 9 m/s

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BQuestion%3A%7D%7D%7D%7D" id="TexForm

Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

3 years ago

The value of √42 is

KatRina [158]

Answer:

the value of √42 is an irrational number.

Step-by-step explanation:

also the number, its value is between 5 and 7

5 0

3 years ago

Read 2 more answers

If point A is located at (-7,-3) and there are 12 points between A and B what could be the possible point coordinates for point

Ivahew [28]

(5,-3), (-7,9) are two possible point coordinates

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3 years ago

a regular window is 48in long and 24 in wide mary would like to buy a screen for the window the screen is based on the number of

seraphim [82]

Answer:

8 square feet

Step-by-step explanation:

48/12=4

24/12=2

2x4=8

7 0

3 years ago