5
What is the value of q?
52°
589
9
degrees
q=

Answer:

y=68.38172757

Step-by-step explanation:

Take the inverse cosine of both sides of the equation to extract  

y from inside the cosine.

y=arccos(7/19)

y=68.38172757

The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from  

360 to find the solution in the fourth quadrant. y=360−68.38172757

y=68.38172757+360n,291.61827242+360n, for any integer n

Answer:

diameter = the distance from one edge of the circle, through the center, to the other edge

pi = long irrational number commonly written as 3.14

circle = a 2d shape where all points are the same distance from the center

radius = the distance from the center of a circle to the outer edge

circumference = the length of the outside of a circle or a circle's perimeter

hope that helps

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

Using mid-segment theorem, we get

[tex]54=\dfrac{1}{2}(3n)[/tex]

[tex]2\times 54=3n[/tex]

[tex]108=3n[/tex]

Divide both side by 3.

[tex]\dfrac{108}{3}=n[/tex]

[tex]36=n[/tex]

Therefore, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

Using mid-segment theorem, we get

[tex]4n+5=\dfrac{1}{2}(74)[/tex]

[tex]4n+5=37[/tex]

[tex]4n=37-5[/tex]

[tex]4n=32[/tex]

Divide both side by 4.

[tex]n=\dfrac{32}{4}[/tex]

[tex]n=8[/tex]

Therefore, the value of n is equal to 8.

Answer:

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Answer:

r ≈ 6 inches

Step-by-step explanation:

r=[tex]\frac{C}{2pi} =\frac{37.68}{2(pi)}[/tex]≈5.99696 which rounds to 6

Given:

A figure of a triangle.

To find:

The exterior angles.

Solution:

If one side of a triangle is extended, then the angle between the extended side and the other side of triangle is known as exterior angle of the triangle.

In the given figure angle 1 and angle 5 are interior angles because they are inside the circle.

In the given figure angles 2,4,6 are exterior angles because they are lie between the extended side and the other side of triangle.

Angle 3 is the angle between two extended sides. So, it is neither interior not exterior angle of the triangle.

Only 2,4,6 are the exterior angles of the given triangle. Therefore, the correct options are C, D, E.

Answer:

Area = length x width

width = 1/2 length = 12/2 = 6 = width

area = 6x 12 = 72

Hope that answers your question

don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

The correct answers are O The frequency is 5. and O The period is 2π/5

Step-by-step explanation:

I took the quiz and got it right

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

For the given quadratic equation [tex]x^{2} +b x + c=0[/tex] value of 'b' = -10 and value of 'c' = 25.

" Quadratic equation are defined as the algebraic equation in which highest exponent of the variable is two. General form of quadratic equation  is [tex]ax^{2} + bx + c=0[/tex] where a≠0."

According to the question,

Given quadratic equation is,

[tex]x^{2} +b x + c=0[/tex]             ______(1)

Solution of the given quadratic equation x = 5.

From this we have,

[tex]x-5=0\\\\(x-5)^{2} =0[/tex]                      _____(2)

Equate equation (1) and (2)  to get the value of 'b' and 'c' ,

[tex]x^{2} +b x + c=(x-5)^{2}[/tex]

⇒[tex]x^{2} +b x + c= x^{2} -10 x + 25[/tex]

Compare Left hand side and right hand side we get,

b = -10

c = 25

Hence, for quadratic equation [tex]x^{2} +b x + c=0[/tex] value of 'b' = -10 and value of 'c' = 25.

Learn more about quadratic equation here

https://brainly.com/question/22277991

#SPJ2

Answer:

Samantha drives 3,800 miles in 40 days.

Step-by-step explanation:

1 day = 95 miles so 40 days = 3,800

95 miles x 40 days = 3,800 miles

Answer:

1= 112°

3= 68°

4= 22°

5= 90°

Step-by-step explanation:

comment if u need explanation :)

Answer:

√(8×32)

√(256)

[tex]16[/tex]

[tex]is \: your \: answer[/tex]

I hope it helps

have a nice day

#Captainpower

Answer:

D.

Step-by-step explanation:

All other equations have x or y to the power of one so they are linear. D. has x or y to the power of two, so it's not linear. Quadratics and any variable to the power of 2 and above is not linear (numbers on their own are also always linear, so ignore any powers on them)

There are 7! possible orders the guests can arrive in

The number of guests is given as:

n = 7

Assume that the guests do not arrive at the same time, their order of arrival is the factorial of the number of guests

i.e. n! = 7!

Hence, there are 7! possible orders the guests can arrive in

Read more about permutation at:

https://brainly.com/question/11732255

Answer:

X = 3

Step-by-step explanation:

To solve for x, you can first divide both sides of the equation by 3. The reason you do this is because the left side is being multiplied by 3, so dividing would cancel it out

(3(3 + x) = 15 + x)/3   =  3 + x = 5 + 1/3x

Now, subtract 3 from both sides to isolate x on the left side

x = 2 + 1/3x

Lastly, subtract 1/3x from both sides

2/3x = 2

Now, divide both sides by 2/3 to get x = 3.

Answer:

60 and 35

Step-by-step explanation:

Let:

First number = x

Second number = y [ y > x ]

According to question:

x + y = 95

= > y = 95 - x .... ( i )

y = x + 25 ...... ( ii )

From ( i ) and ( ii ) we get:

95 - x = x + 25

= > 2x = 70

= > x = 35

y = 95 - x [ x = 35 ]

= > y = 60

Therefore numbers are 60 and 35.

Answer: A and D

Step-by-step explanation:

Answer:

And 6th day after day before yesterday, that is, 17 January. So, we just need to add 6 to 17 to get the desired date. Thus, the date 3 days after tomorrow is 23rd January.

Step-by-step explanation:

hope it hlp

Answer:

ajahdhsbabsjssjjasjjsjs

Answer:

7

Step-by-step explanation:

have a good day !!!!!!!!!

Answer:

264 m³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h}[/tex]

Radius

= diameter ÷2

= 12 ÷2

= 6 m

Volume of the cone

[tex] = \frac{1}{3} (\pi)( {6}^{2} )(7)[/tex]

= 264 m³ (3 s.f.)

Answer:

I think its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

9y+7=2y+98(being vertically opposite angles)

9y-2y=98-7

7y=91

y=91/7

y=13

Answer:

-15x - 12 + 9x^2

Step-by-step explanation:

(-7x - 5) - (-9x^2 + 8x + 7)

-7x - 5 + 9x^2 - 8x -7

-15x - 12 +9x^2

what is that 2 by the 9x

We will simplify the given expression to get:

9x^2 - 15x - 12

Here we have the expression:

(-7x - 5) - (-9x^2 + 8x + 7)

To simplify it, we just perform the difference between the polynomials:

-7x - 5 + 9x^2 - 8x - 7

Now we group terms with correspondent powers of x:

9x^2 + (-7x - 8x) + (-5 - 7)

Now we simplify this:

9x^2 - 15x - 12

This is the quadratic equation simplified.

If you want to know more about simplification, you can read:

https://brainly.com/question/723406

Answer:

y=2x+5

Step-by-step explanation:

2=y+1/x+3

y=2x+5

Answer:

Total Surface Area = 2(LW+WH+LH)

Step-by-step explanation:

Surface Area of;

face 1 = LW

= 20 × 10

=200

face 2 = WH

= 10×12

= 120

face 3 = LH

= 20×12

=240

TSA = 2(200+120+240)

=560×2

=1120

Answer:

17

Step-by-step explanation:

If we are finding the long angled side (the hypotenuse), we must keep in mind the Pythagorean theorem. This states that in order to find the answer, we must follow: A squared + B squared = C squared. A and B are known as the legs and we use these for A and B. After squaring both 15 and 8 we get 225 + 64= 289. Now that we have our answer of 289, we can square this to find our hypotenuse which is 17. To find the square root, you multiply different numbers by themselves until you reach your answer. 17 x 17 = 289 so the hypotenuse is 17 centimeters long. I hope this helps! :)

Answer:

The area of the triangle is 60.

Answer:

y= - 1/2x - 4

Step-by-step explanation:

I know you need it quick

Answer:

Julie has $11.51 left.

Step-by-step explanation:

We know that Julie has $20.  She spent $1.99 on package of trading cards and $6.50 for lunch.  When added this is equal to $8.49.

Now we have to figure out how much she has left by subtracting $20 from $8.49 and we get $11.51.  Therefore, $11.51 is our answer.