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Burka [1]
3 years ago
6

If r=10 and s=31 find R. Round to the nearest tenth

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0

<u>Answer:</u>

The correct answer option is C. 17.9°.

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

We are given a right angled triangle, SRT, with two known sides, r and s.

We are to find the measure of the angle R.

For that, we will use tan.

tan R = \frac { r } { s }

tan R = \frac { 1 0 } { 3 1 }

R = tan' 0.322

R = 17.9°

Vsevolod [243]3 years ago
3 0

Answer: option c.

Step-by-step explanation:

You need to remember the identity:

tan\alpha=\frac{opposite}{adjacent}

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "R":

 \alpha =arctan(\frac{opposite}{adjacent})

You know that you need to find the measure of "R" and r=10 (which is the opposite side) and s=31 (which is the adjacent side), you can sustitute values into \alpha =arctan(\frac{opposite}{adjacent})

Then, you get:

R=arctan(\frac{10}{31})\\\\R=17.9\°

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During a cold front, the temperature in Denver, Colorado, dropped from 7 degrees C to -5 degrees C. What was the change in the t
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Answer:

-12 c

Step-by-step explanation:

4 0
3 years ago
A bag of marbles contains 6 bluemarbles, 2 yeloow marbles, 4 red marbles, and 1 green marble. What is the [robability of reachin
irina [24]

Answer:

The probability of picking a yellow marble is 2/13

Step-by-step explanation:

First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.

This will give us 6 + 2 +4+ 1 = 13 marbles in total.

The next step is to find the number of yellow marbles in the bag.

We can get this from the question. There are 2 yellow marbles in the bag.

The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag

This will give us 2/13.

Therefore, the probability of picking a yellow marble is 2/13

5 0
3 years ago
Whats the answer? Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How man
vladimir1956 [14]

Answer: The cost for the mileage is . 12m

8 0
2 years ago
Read 2 more answers
Determine the shaded area. This figure is not drawn
AleksAgata [21]

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Given that a unshaded rectangle is inscribed in a shaded circle.

  • Diameter of the circle d = 13m
  • Radius r = d/2 = 13m/2 = 6.5m
  • Dimension of length of the rectangle l = 12m
  • Dimension of width of the rectangle w = 5m
  • Area of the shaded region As = ?

First we calculate the area of the shaded circle.

A = πr² =  π × ( 6.5m )²

A = 132.665m²

Area of the shaded circle is 132.665m².

Area of the unshaded rectangle will be;

A = l × w

A = 12m × 5m

A = 60m²

Area of the unshaded rectangle is 60m².

Now, area of the shaded region will be;

= Area of the shaded circle - Area of the unshaded rectangle

= 132.665m² - 60m²

= 132.665m² - 60m²

= 72.67m²

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Learn more about area polygons here: brainly.com/question/22590672

#SPJ1

8 0
2 years ago
PLEASE HELP 30 POINTS AND BRANILEST
LUCKY_DIMON [66]

Answer:

Go through the explanation you should be able to solve them

Step-by-step explanation:

How do you know a difference of two square;

Let's consider the example below;

x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.

Let's consider another example,

2x^2 - 18

If we divide through by 2 we have:

2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above

Let's take another example;

x^6 - 64

The above expression is the same as;

(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.

Let's take another example

a^5 - y^6 ; a^5 - (y ^3)^2

We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square

Lastly let's consider

a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to

(a^2 + b^2) ( a^2 - b^2)

3 0
3 years ago
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