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3 years ago

Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.

Mathematics

1 answer:

patriot [66]3 years ago

4 0

A triangle is equaled to 180 degrees
Si you know your B and C do all you do is
180-90-1 =
89
So Angle A is 89

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Please answer BOTH questions

Lera25 [3.4K]

Answer:46.28, 193.75

Step-by-step explanation:

The first one you add (((2.5+4.7)x3.05)+1.18)x2. And the second one you (7.50+0.25)x25.

4 0

3 years ago

A telephone solicitor is responsible for canvassing three suburbs. In the past, 60% of the completed calls to Belle Meade have r

igor_vitrenko [27]

Answer:

0.4625 or 46.25%

Step-by-step explanation:

The data for the percentage of contribution and the percentage of numbers from each suburb is presented in the table bellow:

$\begin{array}{ccc}&Contribution (C)&Number(N)\\Belle\ Mead&0.60&0.25\\Oak\ Hill&0.55&0.25\\Antioch&0.35&0.5\end{array}$

The probability that she gets a donation is given by the sum of the probabilities of getting a donation from each suburb weighed by their respective percentage of numbers of the list:

$P(C) = P(C_B)+P(C_O)+P(C_A)\\P(C) =0.6*0.25+0.55*0.25+0.35*0.5\\P(C) = 0.4625$

The probability that she gets a donation is 0.4625 or 46.25%.

7 0

3 years ago

Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem

mariarad [96]

Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

(15, 25)

(25, 10)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-25}{25-15}$

$m=-\frac{3}{2}$

The equation of line in slope-intercept form

$y = mx + b$

Putting $m=-\frac{3}{2}$ and any point, let say (25, 10), to find the y-intercept 'b'

$10=-\frac{3}{2}\left(25\right)+b$

$-\frac{3}{2}\left(25\right)+b=10$

$-\frac{75}{2}+b=10$

$\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}$

$-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}$

$b=\frac{95}{2}$

$b=47.5$

So the equation of line will be:

$y = mx + b$

$y=-\frac{3}{2}x+47.5$

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

$y=-\frac{3}{2}x+47.5$

Putting y = 0

$0=-\frac{3}{2}x+47.5$

$-\frac{3}{2}x+47.5=0$

$-\frac{3}{2}x=-47.5$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)$

$-3x=-95$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3x}{-3}=\frac{-95}{-3}$

$x=\frac{95}{3}$

$x=31.66$

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

4 0

3 years ago

Read 2 more answers

the museum wants to display all the art pieces in rows. Each row has the same number of pieces and the same type of pieces. How

Alecsey [184]

So if you have 30 oil, 24 photos, 21 sketches, the first thing I notice is that all of these numbers are divisible by 3. Since there are no specifications of how many rows for each category. You can divde the 30/10, 24/8, and 21/7 you would have 10 rows oil, 8 rows of photos, and 7 rows of sketches. In short, I believe your answer should be 3.

Hope this helps! Sorry if this explanation is unclear, please feel free to ask questions. <3

8 0

4 years ago

Read 2 more answers

What is 30% of 29 dollars

Vika [28.1K]

0.30 multiplied by 29 = 8.7 dollars

6 0

3 years ago

Read 2 more answers