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3 years ago

A={1, 2, 3, 4, 5} e B = {2, 3, 7}, determine o conjunto A - B, ou seja, os elementos que pertencem somente a A e não a B .

Mathematics

1 answer:

Lostsunrise [7]3 years ago

7 0

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

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x = 4

Step-by-step explanation:

Given

DE = 3x + 2, EF = x + 5, DF = 23

As per segment addition postulate

DE + EF = DF

Substituting values:

3x + 2 + x + 5 = 23
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3 years ago

Gavin went on 25 runs last month that totaled 103 miles. Each run was a distance of either 3 miles or 5 miles. Which system of

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Answer:

3x+5y=105

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Step-by-step explanation:

x is the number of 3 mile runs so the total distance travelled is 3x miles. y is the number of 5 mile runs so the total distance travelled is 5y miles. Together Gavin travelled 103 miles so 3x+5y=105.

The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.

So the answer is:

3x+5y=105

x+y=25

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3 years ago

Solve the right triangle ABC with right angle C, if B=30 degrees, and C = 10

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Answer:

The answer to your question is letter D

Step-by-step explanation:

We know that the sum of the internal angles in a triangle equals 180°.

So, B = 30°, C = 90° and A = ?

A + B + C = 180°

Substitution

A + 30 + 90 = 180

Solve for A

A = 180 - 30 - 90

A = 180 - 120

A = 60°

To find "b". use the trigonometric function sine

sin B = $\frac{opposite side}{hypotenuse}$

sin B x hypotenuse = Opposite side

Opposite side = sin 30 x 10

Opposite side = 0.5 x 10

Opposite side = b = 5.0

To find "a" use the trigonometric function cosine

Cos A = adjacent side / hypotenuse

Adjacent side = a = cos A x hypotenuse

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3 years ago

The density of a certain material is such that it weighs 70 pounds for every 8.5 gallons of volume. Express this density in kilo

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The correct answer is 0.99kg/L

Explanation:

To find the density, the first step is to convert the weight (mass) and the volume into the appropriate units.

The volume is 8.5 gallons and this needs to be converted to litters. In this case, multiply the volume in gallons by 3.785 because each gallon contains 3.785 liters.

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70 ÷ 2.2046 = 31.751 kilos

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Density= 31.751 kg ÷ 32.1725 L

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3 years ago

Suppose $24,000 is deposited into an account paying 7.25% interest, which is compoundedcontinuouslyHow much money will be in the

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Answer:

$49560

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The amount deposited is the principal

The principal, P = $24,000

Interest rate, r = 7.25% = 7.25/100 = 0.0725

Time, t = 10 years

Since the interest is compounded continuously, the amounte^ formula is given as:

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1 year ago