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2 years ago

In ΔUVW, the measure of ∠W=90°, UW = 55, WV = 48, and VU = 73. What ratio represents the tangent of ∠V?

Mathematics

1 answer:

Natalka [10]2 years ago

7 0

Answer:

tanV = $\frac{55}{48}$

Step-by-step explanation:

tanV = $\frac{opposite}{adjacent}$ = $\frac{UW}{WV}$ = $\frac{55}{48}$

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The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

Korvikt [17]

Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

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The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

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2 years ago

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

Daniel [21]

Answer:

$y=\frac{3}{2}x-5$

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

$y-y_1=m(x-x_1)$ where m is the slope and $(x_1, y_1)$ is a point on the line.

First, calculate the slope using the two given points $(x_1, y_1), (x_2, y_2)$ .

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2}$ .

Fill in the point-slope pattern

$y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5$

There's the equation in slope-intercept form ( $y=mx+b$ ).

Slope-Intercept Form

Use $y=mx+b$ directly.

Find the slope just like the above, so $m=\frac{3}{2}$ .

Now, plug one of the points (either one!) together with m into

$y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5$

Now you know the value of b, so the equation for the line is

$y=\frac{3}{2}x-5$

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2 years ago

mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of

Allushta [10]

Answer:

it will drop to 2855 I believe

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2 years ago

(-2.655) · (18.44) What’s the answer

stepan [7]

Answer:

-48.9582

Step-by-step explanation:

Negative times a positive is negative.

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2 years ago

Read 2 more answers

Emma borrowed $300 to repair her car. the finance (interest) charge on the loan was $20, and the term on the loan was 14 days. w

Murrr4er [49]

Given:
loan amount = 300
finance charge = 20
term = 14 days.

To solve for APR.
1. Divide the finance charge by the loan amount.
20/300 = 0.0667

2. Multiply the result by 365.
0.0667 x 365 = 24.35

3. Divide the result by the term of the loan.
24.35/14 = 1.74 (APR in decimal format)

4. Multiply the result by 100.
1.74 x 100 = 174% APR

7 0

2 years ago