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3 years ago

HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

a) independent = hours

dependent = wages

b ) W = 10 + 5h

c)27.50

Step-by-step explanation:

The independent variable is the one that you change which is the number of hours that it takes

The dependent variable is the variable that changes based on the independent variable. The wages depends on the hour worked so the wages are the independent variable

The wages equal the fixed cost plus the hourly rate times the number of hours where W is the wages and h is the number of hours

W = 10 + 5h

W = 10 + 5( 3.5)

= 10 + 17.5

= 27.5

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Dennis has three identical cylinders filled with water. How many cones should he be able to fill with the water if the cones

Brut [27]

Answer:

3 cylinder will fill 9 cones with water

Step-by-step explanation:

This problem bothers on mensuration of slides, cone and cylinder

We know that the

Volume of a cylinder = πr²h

Volume of a cone = 1/3(πr²h)

Given that both cylinder and cone has same height and radius

From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume

So if 1 cylinder will fill 3 cones

Then 3 cylinders will fill x cones

By cross multiplication we have

x= 3*3cones

x= 9 cones

Hence 3 cylinder will fill 9 cones with water

3 0

3 years ago

Read 2 more answers

Find the circumference and area of each circle 15mn

AysviL [449]

Area= 709.86
Circumference= 94.25

6 0

3 years ago

Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

Use the substitution methods to solve the system of equations. Choose the correct ordered pair. y=7x+8 y=x+20

krek1111 [17]

Answer:

Step-by-step explanation:

Solution by substitution method

y=7x+8

∴y-7x=8

and y=x+20

∴y-x=20

Suppose,

-7x+y=8→(1)

and -x+y=20→(2)

Taking equation (1), we have

-7x+y=8

⇒y=7x+8→(3)

Putting y=7x+8 in equation (2), we get

-x + 7x + 8 = 20

6x = 20-8

6x = 12

x= 12 / 6

x = 2

substitute for x in equation (3)

y = 7(x) + 8

y = 7(2) + 8

y = 22

4 0

3 years ago

Which is equivalent?

Arlecino [84]

Steps to simplify:

(2x + 3)(x - 7)

~Use FOIL to multiply

(2x * x) + (2 * -7) + (3 * x) + (3 * -7)

~Simplify

=2x² - 14x + 3x - 21

~Combine Like Terms

2x² + (-14x + 3x) - 21

~Simplify

2x² - 11x - 21 (Option 2)

Best of Luck!

6 0

3 years ago