Ask question

Ask question

All categories

3 years ago

7

A triangular playground has angles with measures in the ratio 8:3:9. What is the measure of the smallest angle? I need an explan

ation as well as amy answer

1 answer:

frozen [14]3 years ago

4 0

Answer:

Measure of smallest angle will be 27 degrees.

Step-by-step explanation:

We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.

Since we know by the angle sum property that angles in a triangle add up to 180 degrees.

We can set an equation from our given ratio as:

$8x+3x+9x=180^{o}$

$20x=180$

$x=\frac{180}{20}$

$x=9$

Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.

$3*9=27$

Therefore, measure of the smallest angle will be 27 degrees.

You might be interested in

I need help finding the answer.......

Vanyuwa [196]

Gabriel and Jorge have a right triangle

Makayla has a equilateral

Emma has an obtuse

4 0

2 years ago

The first term of a sequence is a multiple of 3 The second term of this sequence is 6 less than the first term. The third term i

Mekhanik [1.2K]

Answer:

First term $= 15$

Second term $= 9$

Third term $= 3$

Step-by-step explanation:

Given,

First term $= 3x$

Second term $= 3x - 6$

Third term $= \frac{1}{5} (3x) = \frac{3x}{5}$

Also,

$3x - \frac{3x}{5} = 12$

$\frac{15x}{5} - \frac{3x}{5} = 12$

$\frac{15x - 3x}{5} = 12$

$15x - 3x = 12 \times 5$

$12x = 60$

$x = \frac{60}{12}$

$x = 5$

With the value of $x$ , we conclude that the first three terms are as follows:

First term $= 3x = 3×5 = 15$

Second term $= 3x - 6 = 15 - 6 = 9$

Third term $= \frac{3x}{5} =\frac{15}{5}= 3$

7 0

2 years ago

Can anyone give me this answere

nika2105 [10]

$\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi$

3 0

1 year ago

Find the mean of the data. give your answer in decimal form

aleksandr82 [10.1K]

Mean = (1+1+2+3+3+3+4+5)/8 = 22/8 = 2.75

answer
mean = 2.75

8 0

3 years ago

11/21 as a decimal and a percent

pochemuha

11/21 written as a decimal would be 0.52381 and in percent, it would be 52.381%.

To solve percent, since the total or 1/1 is 100%, we have to remember that the answer is less than 100%. So, we move 2 decimal places right to make it into percent. Then, the answer is 52.381.

To solve percent, you would do 100/21. Then, you would get 4.7619047619. You multiply that by 11 and get 52.381. But, you have to move 2 places left since fractions are tens, hundreds. So, you would get 0.52381.

8 0

2 years ago