All categories

2 years ago

Solve using a proportion. Round to the nearest hundredth.

Mathematics

1 answer:

aleksley [76]2 years ago

5 0

Answer:

The length of the ladder would be 32 feet.

Step-by-step explanation:

In order to find the missing value, we create a proportion. We can do this by making two fractions -- the numerator being the depicted length and the denominator being the actual length.

(1.5/4) = (12/x)

Since we don't know the actual length of the ladder, we put it in as x. Now we can cross multiply to solve.

(1.5/4) = (12/x)

1.5*x = 4*12

1.5x = 48

x = 32

You might be interested in

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0

1 year ago

Read 2 more answers

Cual es el 15% de 36000?

zimovet [89]

15% = 15/100 = 0,15

36000•0,15=5400

4 0

3 years ago

I’ll give brainliest!

Novay_Z [31]

Answer: -1 3/4

Step-by-step explanation

just add the fractions together :)

(between the -2 and -1 1/2)

5 0

2 years ago

Can someone HELP and Explain. Denise just bought a new house and she is choosing paint colors. There is an 80% chance she will u

aniked [119]

Well I don't know if I would recommend the blue I would actually would go for the yellow because it is my favorite color so ya she should pick yellow.

6 0

3 years ago

Read 2 more answers

A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?

Volgvan

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

5 0

2 years ago