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3 years ago

What is 24 2/3 divided by 1 3/4

Mathematics

2 answers:

Mandarinka [93]3 years ago

5 0

Answer:

Step-by-step explanation:

First, you should convert the mixed fractions into an improper fraction.

74/3 divided by 7/4

As you should know, any fraction divided by another is that fraction times the reciprocal of the other fraction.

74/3*4/7

There fore leaving 296/21 as the answer.

KengaRu [80]3 years ago

4 0

296/21 is the answer hope this helps

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Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

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3 years ago

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What’s the scientific notation for 3,207,000,000

Pani-rosa [81]

Answer:

3.207 x $10^{9}$

Step-by-step explanation:

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3 years ago

2. The long-jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of

lakkis [162]

Answer:2. It’s 24.58

How many boards did the volunteers supply round your calculations to the nearest hundred- 13.44

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Step-by-step explanation:

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3 years ago

Which expression is equivalent to 5y+2y+6x+2y-x

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♡Okie Dokie let's simplify Step-By-Step!♡
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5y+2y+6x+2y−x
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♡Combine Like Terms:
5y+2y+6x+2y+−x
(6x+−x)+(5y+2y+2y)

♡Your final answer is:
5x+9y

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3 years ago

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a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5

netineya [11]

9514 1404 393

Answer:

85 ones
70 fives
15 tens
2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

a +5b +10c +50d = 685 . . . . . total amount of cash

b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

a = b+c . . . . . . . . . . . as many ones as fives and tens combined

d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

Substituting for 'a', then for 'b', we have ...

(b+c) +5b +10c +50d = 685

6(10 +4c) +11c +50d = 685

60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

35c = 525

c = 15

b = 10 +4c = 10 +4(15) = 70

a = b+c = 70 +15 = 85

The register contained ...

85 ones
70 fives
15 tens
2 fifties

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3 years ago

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