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3 years ago

Premises: All flowers are beautiful. All roses are flowers. Conclusion: All roses are beautiful

Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

The conclusion is valid because the set of roses lying inside beautiful.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

Premises: All flowers are beautiful. All roses are flowers.

Conclusion: All roses are beautiful

It is given that All roses are flowers that means all roses are the subset of flowers.

Now, it is given that All flowers are beautiful, that means all flowers are the subset of beautiful.

Thus, the required conclusion will consist all roses are the subset of flowers and all flowers are the subset of beautiful.

Therefore, the conclusion is valid because the set of roses lying inside beautiful.

The required diagram is shown below:

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A family has two cars during one particular week the first car consume 25 gallons of gas and the second consumed 15 gallons of g

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Answer: the efficiency of the first car is 25 miles per gallon.

the efficiency of the second car is 30 miles per gallon.

Step-by-step explanation:

Let x represent the efficiency of the first car.

Let y represent the efficiency of the second car.

Distance = car efficiency × number of gallons.

The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that

25x + 15y = 1075- - - - - - - - - - -1

The sum of the fuel efficiencies was 55 miles per gallon. It means that

x + y = 55

Substituting x = 55 - y into equation 1, it becomes

25(55 - y) + 15y = 1075

1375 - 25y + 15y = 1075

- 25y + 15y = 1075 - 1375

- 10y = - 300

y = - 300/-10

y = 30

x = 55 - y = 55 - 30

x = 25

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The answer is 3. He ends up on the 3rd floor.

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I need the measure of angle 6

NISA [10]

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

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3 years ago

an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

b - base

h - height

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ subtract 25 from both sides

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

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