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3 years ago

On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? a 2/5 in.

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

Since 1/2 mile is equal to 4/5 mile, so we will solve this using proportions. 1/2 inches : 4/5 mile : ? : 1 mile. So the answer would be 5/8 inch. We cross multiply 1 by 1/2 then divided by 4/5 which gave us 5/8.

Step-by-step explanation:

So B 5/8 PLEASE MARK BRAINIEST.

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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra

Stels [109]

Answer:

Third option: $y= \frac{1}{4}x+2$

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is $y -4 = \frac{1}{4}(x -8)$ . What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

$y -4 = \frac{1}{4}(x -8)$

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

$y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2$

You can identify that the slope "m" is:

$m=\frac{1}{4}$

And the y-interecept "b" is:

$b=2$

7 0

3 years ago

Read 2 more answers

What is 4,700,000 in scientific notation?

olga55 [171]

Answer:

4.7x10^6

Step-by-step explanation:

Scientific notation can not exceed the ones place so you multiply that by 10^6 (1,000,000) to get 4,700,000

4 0

2 years ago

Read 2 more answers

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

Juan went to Walmart to buy notebooks and

9966 [12]

Answer:

Juan went to Walmart to buy notebooks and

highlighters for his classes. Notebooks cost $3

while highlighters cost $4. Juan bought 12 items

and he spent a total of $42. Write a system of

equations that describes this situation

Step-by-step explanation:

3+4÷42

8 0

3 years ago

Three letters are chosen at random from the letters P, A, N, S, O, L. What is the size of the sample space of this experiment? A

AVprozaik [17]

You need to find the number of permutations of the 6 different letters, taken 3 at a time.
$6P3=\frac{6!}{(6-3)!}=\frac{6\times5\times4\times3\times2\times1}{3\times2\times1}=120$
Therefore the sample space is 120 possible outcomes.

3 0

3 years ago

Read 2 more answers

On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? ​ a 2/5 ​ in.

On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? a 2/5 in.