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2 years ago

Bob's pluming charges $25 per hour plus a service fee of 40$ for coming out to your house. Which equation is right?

Mathematics

2 answers:

jeka942 years ago

6 0

Answer: 2. y=25x+40

Step-by-step explanation:

Ann [662]2 years ago

6 0

Answer is y=25x+40
Because for x hours it takes bob to finish the you pay 25$

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Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

The area of the circle is 144π m2 What is the diameter of the circle?

Over [174]

Answer:

Step-by-step explanation:

Remember that

Area of Circle = $\pi r^2$

$\pi = pi \\r = radius$

They told us that for this circle, the area is $144\pi m^2$

If you put it back into the formula for area of a circle we get:

Area of Circle = $\pi r^2$

$144\pi = \pi r^2$

Divide both sides by $\pi$ .

144 = $r^2$

Now we want to solve for r (r = radius).

You need to square root each side

$\sqrt{144} = \sqrt{r^2}$

$12 = r$

So now we know the radius, $r = 12$ metres

Also remember that

Diameter = $2r$

So,

Diameter = 2 times 12 = 24 metres

5 0

3 years ago

Disssss tooo helllllllpppp shoals shzn

iren2701 [21]

Answer:

3/2

Step-by-step explanation:

Use this formula y2-y1/x2-x1

PLUG IN YOUR POINTS

-3 - -9/ 8- 4 =

6/4 (simplify)

1.5 or 3/2

Hope this helps ya!!

7 0

3 years ago

If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units

alisha [4.7K]

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

$V_1=a^3$

Where, a is the side length of cube.

$V_1=(1)^3$

$V_1=1$

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

$V_2=l\times b\times h$

Where, l is length, w is width and h is height.

Putting $l=2,b=3,h=4$ , we get

$V_2=2\times 3\times 4$

$V_2=24$

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

$n=\dfrac{V_2}{V_1}$

$n=\dfrac{24}{1}$

$n=24$

Therefore, 24 cubes can be fit into the given space.

3 0

3 years ago

Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector

Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

6 0

1 year ago