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3 years ago

Answer and explanation please!!!!

Mathematics

1 answer:

sammy [17]3 years ago

8 0

The answer is 69.08 in || to get this you use the formula c=(pi)d and you plug in your numbers c=(3.14)(22)

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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

2 years ago

Read 2 more answers

Please give me answers

Nikolay [14]

For number 9. its 34 × 65 = 65 × 34.. So that means its communicative property

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3 years ago

Regina eats a piece of fruit from a basket of apples, bananas, pears, and melons. Later her brother eats a piece of fruit from t

Marta_Voda [28]

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2 years ago

mr stephens needs to haul 1,518 tons of rocks from a construction site. His dump truck can hold 26 ton per load. how many tons w

lisov135 [29]

Answer:

Step-by-step explanation:

1518 divided by 26 is 58 remainder 10.

... 1518 = 26×58 + 10 = 1508 + 10

Mr. Stephens will make 58 trips with a full load. After that, 10 tons of rock will remain.

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2 years ago

Describe, in detail, when to use the law of cosines, the law of sines, and the law of sines with the ambiguous case. Provide gen

shutvik [7]

You can use the Law of Cosines, if only one of which is missing: three sides and one angle. Hence, if the known properties of the triangle is SSS(side-side-side) or SAS (side-angle-side), this law is applicable.

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The ambiguous case is the SAS triangle. This could be easily solved using Law of Sines than Law of Cosines. Take for example: side a = 4, side b = 10, angle A = 23°. Then, we can determine angle B through Sine Law.

sin 23°/4 = sin B/10
B = 77.64°

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3 years ago