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3 years ago

How many 30 degree angles does it take to make a full turn?

2 answers:

8 0

Hi there!

I'm going to assume you either mean a 90 ° turn or full 360 ° turn.

For a 90 ° turn you would simply need three 30 ° angles as 30 * 3 = 90.

For a 360 ° turn you would need twelve 30 ° angles as 30 * 12 = 360.

Dima020 [189]3 years ago

3 0

Full turn
either you means a 180 degrees which is a direct U-turn
or 360 degrees turn which is 1 full rotation

so

how many 30's make full turn
x times 30=full turn
divide both sides by 30
x=full turn/30
therefor we just divide by 30 to find how many of them are needed
180/30=6
6 turns if 1 full turn is 180

360/30=12
12 turns if 1 full turn is 360

I would go with 12 turns

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R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and

choli [55]

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV = m∠ TUV - m∠ TUR

= 3x + 16 - x -10

= 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

24 = 2x

12 = x

put this value in the m ∠TUV= 3x+16

m ∠TUV= 12× 3 +16

= 52°

Hence proved

7 0

3 years ago

Find the sum of the geometric sequence. 1, 1/2, 1/4, 1/8, 1/16

dezoksy [38]

I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.

1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16

1+ 2 + 4 + 8 + 16 = 31

31/16 = 1 15/16

Hope this helps!

7 0

3 years ago

Read 2 more answers

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 unit

Wittaler [7]

Given:

A student says that the graph of the equation $y = 3(x + 8)$ is the same as the graph of $y = 3x$ , only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

$y=3x$

$f(x)=3x$

Equation of after transformation is

$y=3(x+8)$

$g(x)=3(x+8)$

Now,

$g(x)=f(x+8)$ ...(i)

The translation is defined as

$g(x)=f(x+a)+b$ ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

$a=8\text{ and }b=0$

Therefore, the graph of $y=3x$ translated left by 8 units. Hence, the student is wrong.

8 0

3 years ago

Pat has 8 flowerpots, and she wants to plant a different type of flower in each one. there are 10 types of flowers available at

ankoles [38]

10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400

8 0

3 years ago

9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

3 years ago