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3 years ago

Can someone please help me with this? What would be the measure of angle R to the nearest tenth?

Mathematics

1 answer:

jasenka [17]3 years ago

4 0

Answer:

Step-by-step explanation:

There are two ways to do this.

1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.

2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.

Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.

Tan(C) = opposite over adjacent

Tan(C) = 7 / 9

Tan(C) = .77777777...

<C = tan-1(0.7777777...)

<C = 37.87

<C = 37.9

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A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

There are total 24 more pine tree than Oak tree.

Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒ $\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒ $x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.

5 0

4 years ago

Line m passes through C(-2, 0) and D(1, -3). What is the equation of the line m in standard form?

Serga [27]

From general equation of a line;
y=mx+c
m= $\frac{change in y}{change in x}$
m= $\frac{0--3}{-2-1}$
m=-1
y=-x+c
Finding value of c;
using point (-2,0)
0=-(-2)+c
c=-2
y=-x-2

8 0

3 years ago

A:1/360<br> B:1/90<br> C:1/180<br> D:1/100

valkas [14]

the answer is 1/360.

$\frac{1}{1} = 360degrees \\ x= 1degree$

cross multiplication and u get the answer

5 0

3 years ago

zhenek [66]

Answer:

what si the questions

Step-by-step explanation:

7 0

3 years ago

Find the volume of a rectangular prism with a length of x + 9, a width of x – 7, and a height of x – 1. What is its volume expre

saveliy_v [14]

I believe the answer is x^3+x^2-65x+63

7 0

3 years ago