using trig find the missing angle

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

Answer:

Volume of a cone - πr^2(h/3)

Step-by-step explanation:

If radius doubled - π2r^2(h/3)

If height doubled - πr^2(2h/2)

Let's assume r and h to be 1.

Radius doubled = 2π(1/3) = 2.09439510239 (volume)

Height doubled = π(2/3) = 2.09439510239 (volume)

If radius and height equal for 1, does it mean it is equal for other values too?

Let's use 2 instead of 1 and find out:

8π(2/3) - Option 1

8π(2/3) - Option 2

Both are the same...

Answer:

2x on the radius...

Vol = [tex]\frac{1}{3} \pi r^{2} h[/tex]  

[tex]\frac{1}{3} \pi[/tex] is constant (in this story)

[tex](2r)^{2}[/tex]  vs. 2h   ... the     [tex](2r)^{2}[/tex] will most likely be bigger...

I say most likely because if the cone radius was super small and

the height was super long (like a straw, or a piece of spaghetti)

then the 2x on the height actually can be better  

Step-by-step explanation:

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8

Answer:

23.3 miles

Step-by-step explanation:

- convert 1hour = 60minutes

14 miles per 1 hour , is the same as

14 miles per 60 minutes

-write an equivalent fraction to keep the proportion

14 miles/60 minutes = ? miles / 100 minutes

-cross multiply , and divide by 60

? = (14*100) / 60 = 23. 3333333...

-round to 1 decimal place

23.3 miles

Answer: T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

Explanation: This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Answer:

Total amount paid by the sponsor = 175 + 6d

Step-by-step explanation:

You and 5 friends = 6 people

Cost of renting a bus = $75

Team entry fee = $100

Cost of each student t shirts = $d

Cost of 6 student t shirts = $d × 6= $6d

Write an expression for the total amount the sponsor paid.

Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts

= $75 + $100 + $6d

= $175 + $6d

Total amount paid by the sponsor = 175 + 6d

Where,

d = cost of each student t shirts

Answer:

B

Step-by-step explanation:

f(x) maxmum value is

[tex] \frac{ - 4}{ - 4} = 1[/tex]

[tex] - 2( {1}^{2} ) + 4(1) + 3 =

5[/tex]

G(x) minimum value is 6.

B is the answer.

Answer:

M

Step-by-step explanation:

337 / 25 = 13.48

Round to the nearest whole number = 13

The 13th letter of the alphabet is m, so:

The answer is M.

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.

  y = (x -3)/(x -9) . . . . . . x ≠ -7

The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.

The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).

__

The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.

__

The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.

The appropriate descriptors are ...

Answer:

i) 37

ii) 120

iii) 157

Explanation:

i)

BCA = 180-ACD (Linear Pair)

BCA=180-60

BCA = 120

23+x+BCA=180

143+x=180 (Angle sum property)

x=37

ii) Since triangle ABD is equilateral all of its angles are 60

y+ADC=180

y = 180-ADC (Angles on straight line adds upto 180)

y=180-60

y = 120

iii) Using the values from part i and ii

x+y = 120+37

= 157

Must click thanks and mark brainliest

Answer:

105897 ft²

Step-by-step explanation:

let, r be the radius, so r = 106 ft

Surface area of a hemisphere,

2πr²+πr²

= 2π×106²+π×106²

= 105897 (rounded to the nearest whole number)

[tex]\huge\underline\blue{✏ANSWER}[/tex]

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(maybe can found on other apps?)

#BrainliestBunch

Answer:

12

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.

Answer:

x = - 1, x = - 0.5

Step-by-step explanation:

Given

2x(x + 1.5) = - 1 ← distribute parenthesis on left side

2x² + 3x = - 1 ( add 1 to both sides )

2x² + 3x + 1 = 0 ← in standard form

(2x + 1)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 0.5

Answer:

1/25

Step-by-step explanation:

f(x) = 5^x

Let x = -2

f(-2) = 5^-2

We know a^-b = 1/a^b

f(-2) = 1/5^2

      = 1/25

Answer:

[tex]\frac{1}{25} [/tex]

Step-by-step explanation:

[tex]f(x) = {5}^{x} \\ f( - 2) \\ f( - 2) = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25} [/tex]

Answer:

-50

Step-by-step explanation:

x / (-10) = 5

Multiply both sides by -10:

x = -50

Answer:

50

Step-by-step explanation:

50/10=5

[tex]50 \div 10 = 5 \\ [/tex]

Answer:

Step-by-step explanation:

Standard for is 5x=28. Factoring gives you x=28/5

Answer:

-10

Step-by-step explanation:

Is this all one equation?

If it isn't, here:

-6x ^ 2 - 4x <-- Equation 1

18 - 9 + 18 - 9 = 18 <-- Equation 2

If it is:

-5x + x - 6x ^ 2 + 6 * 3 - 4 - 5 + 18 - 9

-4x - 6x ^ 2 + 18 - 9 + 18 - 9

-4x - 6x ^ 2 + 18

Then we order it

-6x ^ 2 - 4x + 18

Answer: 169 square inches

Step-by-step explanation:

If the squares are placed side by side, then their perimeter will equal 8x, x being the length of one side

If we set that equal to the perimeter, we get 104=8x, and x=13

So 13 is the length of one side, and A=l x w so A=169 square cm

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

[tex]a1 \times {4}^{n - 1} [/tex]

n > 1

Answer:

25

Step-by-step explanation:

[tex]a^2 + b^2 = c^2[/tex]

[tex]24^2 + 7^2 = x^2[/tex]

[tex]576 + 49 = x^2[/tex]

[tex]x ^ 2 = 625[/tex]

[tex]x = 25[/tex]

Answer:

Using Pythagoras theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](x)^{2} =(24)^{2}+(7)^{2}[/tex]

[tex]x^{2} =576+49=625[/tex]

[tex]x=\sqrt{625} =25[/tex]

[tex]x=25[/tex]

OAmalOHopeO

Answer:

Find the mean:

Find the variance:

Find the range:

Find the mean:

Find the variance:

The difference:

The mean:

Find the value of x and the data points:

The points are:

The mean deviation:

Note. Mean absolute deviation is different, this is the average of absolute values of mean deviations:

Answer:

1011

Step-by-step explanation:

3x^2 + 2y^2 x^2 - 2y^2

3(7)^2 + 2(3)^2 3^2 - 2(7)^2

3(7^2 + 2 x 3 x 7^2 - 2 x 3)

3(7^2 +6 x 7^2 - 6)

3(7 x 7^2 - 6)

3(7^3 - 6)

3(343 - 6)

3(337) = 1011

​

Answer:

Step-by-step explanation:

Use the Law of Cosines:

Correct choice is A.

Answer:

d = 2* sqrt(a^2 + b^2)

Step-by-step explanation:

Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.

P = (a,b)

Q= (-a,-b)

x1 = a

x2 = - a

y1 = b

y2 = - b

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-a - a)^2 + (-b - b)^2  )

d = sqrt ( -2a)^2 + - (2b)^2 )

d = sqrt(4a^2 + 4b^3)

d = 2* sqrt(a^2 + b^2)