what is the radian measure of 210 angle

Answer: 12

Step-by-step explanation: Plug in and use pythagorean theorem

Answer:

[tex]x =\sqrt 5[/tex]

[tex]y = \sqrt{5[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

[tex]\cos(45) = \frac{y}{\sqrt{10}}[/tex] --- cosine formula i.e. adj/hyp

Solve for y

[tex]y = \sqrt{10} * \cos(45)[/tex]

In radical form, we have:

[tex]y = \sqrt{10} * \frac{1}{\sqrt 2}[/tex]

[tex]y = \sqrt{10/2}[/tex]

[tex]y = \sqrt{5[/tex]

To solve for x, we make use of Pythagoras theorem

[tex]x^2 + y^2 = (\sqrt{10})^2[/tex]

[tex]x^2 + y^2 =10[/tex]

Substitute for y

[tex]x^2 + (\sqrt 5)^2 =10[/tex]

[tex]x^2 + 5 =10[/tex]

Collect like terms

[tex]x^2 =10-5[/tex]

[tex]x^2= 5[/tex]

Solve for x

[tex]x =\sqrt 5[/tex]

Answer:

6d+9c

Step-by-step explanation:

Answer:

6d+9c

Step-by-step explanation:

Answer:

E. 425

Step-by-step explanation:

Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425

Answer:

A

E

F

Step-by-step explanation: there the even ones

Answer:

12

Step-by-step explanation:

because 6x=72 so you could do 72/6 which 72/6 is 12 so the answer is 12

Answer:

3.2

Step-by-step explanation:

0.8(4) = 3.2

Answer:

c

Step-by-step explanation:

Answer:

The answer is 3 feet.

Step-by-step explanation:

First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!

Answer:

3 feet

Step-by-step explanation:

To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:

2w + 1, and this is equal to the height, so

2w + 1 = h

Now, we are given the height is 7. We substitute 7 where the height, h, is.

2w + 1 = 7

We can subtract 1 from both sides and divide by 2 to isolate x:

2w + 1 = 7

      -1     -1

2w = 6

w = 3 - the width is 3 feet

Answer:

-14

Step-by-step explanation:

(-12)+(-2)

You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)

The answer is the two values added together.

Answer:

47.1 ft

Step-by-step explanation:

dx[tex]\pi[/tex]=C

15x3.14=

47.1

Answer:

18

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

What is the diameter?

Step-by-step explanation:

Your radius is half of your diameter

Answer:

20.48

Step-by-step explanation:

the answer is not in d option

Answer:

D. 200

Step-by-step explanation:

Let the number to be found be y.  

Therefore, according to the question, we have the following linear equation:  

32/100 × y = 64  

Therefore, y = (64 × 100)/32 = 200

Hence, y is 200 and 32% of 200 is 64.

Answer:

The sum of the series is: 749

Step-by-step explanation:

Given

[tex]a_1 = 8[/tex]

[tex]a_{14} = 99[/tex]

[tex]n = 14[/tex]

Required

The sum of the series

This is calculated using:

[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]

Substitute 14 for n

[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]

[tex]S_{14} = 7[a_1 + a_{14}][/tex]

Substitute values for a1 and a14

[tex]S_{14} = 7[8 + 99][/tex]

[tex]S_{14} = 7*107[/tex]

[tex]S_{14} = 749[/tex]

Answer:

-3.5+27

Step-by-step explanation:

-2.7+x=-3.5

x=-3.5-(-2.5)

x=-3.5+2.5

x=2.0

7.8

They give you the radius, which is half the diameter.

3.9 * 2 = 7.8

answer:

1. 7.8 km

2. 17 ml

step-by-step explanation:

1 — 3.9 X 2 = 7.8 km

2 — 8.5 X 2 = 17 mi

Answer:

AB←→

is a secant line.

Step-by-step explanation:

Not a chord because a chord ends and begins on a circular arch. (on the circle edge)

Cannot be a tangent line because a tangent line never touches the inside of a line.

Cannot be the diameter because a. it is always just inside the circle and I think it is the longest line (strait in the middle)

Can only be a secant line

In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle at exactly two points.

as we are to find the perimetre of a circle 2πr

it will be 87.96m

since its a semi circle lets just divide by 2

now we get our answer that's 43.96m

Answer:

Step-by-step explanation:

P(A) = Probability of a student knowing how to play guitar

= no. of students who know how to play guitar / total no. of student

= 144/200

= 0.72

P(B) = Probability of a student is left-handed

=  no. of students who is left-handed / total no. of student

= 141/200

= 0.705

P(A) and P(B) are calculated to be two real numbers and do not depend on each other. So event A and B are independent.

Answer:

Step-by-step explanation:

P(A) = 144/200  = 0.72

P(B) = 141/200  = 0.705 = 0.71

The two probabilities are similar but different. From the table, a large number of students who play guitar are also left-handed: 116. So the two probabilities are NOT independent - if u are left-handed, u are more likely to play guitar n vice versa.

Answer:

3,266.53

Step-by-step explanation:

Rounded to the nearest hundreth thousandths

Answer:

0.0825

Step-by-step explanation:

33/400=0.0825

Given:

The function is:

[tex]g(a)=\dfrac{8-a}{4}[/tex]

To find:

The difference quotient of the function.

Solution:

Formula for difference quotient of the function f(x) is:

[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]

We have,

[tex]g(a)=\dfrac{8-a}{4}[/tex]

The difference quotient of the function g(a) is:

[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]

[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]

[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]

[tex]DQ=\dfrac{-h}{4h}[/tex]

[tex]DQ=-\dfrac{1}{4}[/tex]

Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].

Answer:

They are right, It is -1/4. The second one.

Step-by-step explanation:

Edge 2021

Answer:

is this a joke question? it is very easy. one half or 1/2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

20+12-E=2

32-E=2

-E=-30

E=30