Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems were the difference in the arcs divided by two equals the angle

Answers

Answer 1

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Find MDCA. The Question Says That The Angle Is 3x+19 The Smaller Arc Is 91 And The Bigger Is 17x-3 It

Related Questions

h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)

Answers

X=1/3

Brainliest? Pls

Beyoncé drove 6 miles in 18 minutes and Kelly drove 4 miles in 16 minutes. Who
traveled at a greater average speed? Define an appropriate unit of speed and provide
mathematical justification for your answer.

Answers

Beyoncé 18 min = 18/60=  = .3 per hour

Kelly = 16 min. 16/60 = 2.6 per hour

So your answer is Beyoncé

If the room had a volume of 5,184,000 cubic inches, approximately how many basketballs
did the students put in the principal's office if each basketball has a volume of 523.6 cubic inches?

Answers

Answer:

around 9900.6 balls can fit in the room

Step-by-step explanation:

The ratio of pennies to dimes is 3:5. If there are 15 dimes how many pennies are there?

Answers

Answer:

9

Step-by-step explanation:

Step 1:

3 : 5 = x : 15

Step 2:

5x = 45

Answer:

x = 9

Hope This Helps :)

~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~

Answers

Answer:

THe answer is 13

Step-by-step explanation:

Answer:

its the second one 13

Step-by-step explanation:

A marble is selected at random from a jar containing 5 red marbles, 2 yellow marbles & 3 green marbles. What is the probability that a)the marble is red
b)the marble is not yellow
c)the marble is either red or green
d)the marble is neither red nor green

Answers

Answer:

5/11

explanation

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are  

11

marbles total. The probability that we pick one of the  

3

green marbles out of the  

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

Below are the pre-image and image a trapezoid. Choose the name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation

Answers

Answer:

None of the options

Step-by-step explanation:

Given

Trapezoids: ABCD and A'B'C'D'

Required

Select type of transformation

Notice that width and length of ABCD are larger than that of A'B'C'D'

This means that the transformation applied on ABCD shrinks it size to A'B'C'D'

From the list of given option'

None of the 3 options describes this type of transformation.

The applied transformation is Dilation because it affects the size of ABCD

Hence;

None of the options is correct

Answer:

The answer is Reflection

Step-by-step explanation:

WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95

Answers

The answer is B. 3.44

find the first three terms of the sequence with nth term 3n-2​

Answers

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

ames earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.

Equation: 12(80 – x) = 816

    x = 12; monthly earnings = $68

Which strategies will verify that the value for x is correct? Check all that apply.
Substitute 68 for x in the equation.
Substitute 12 for x in the equation.
Multiply $68 by 12 months.
Multiply $80 by 12 months.

Answers

Answer: Its B and C

Step-by-step explanation:

Answer:

The correct answer is:

B. Substitute 12 for x in the equation

C. Multiply $68 by 12 months

The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.​

Answers

Answer:

96 inch,180 inch,216 inch

Step-by-step explanation:

let the sides be 8x,15x,17x

then 8x+15x+17x=480

40x=480

4x=48

x=48/4=12

8x=8×12=96

15x=15×12=180

17x=17×12=216

What is the percent change from 56 to 39? Round your answer to the
nearest tenth.

Answers

Answer:

30.4%

Step-by-step explanation:

a retail chain buys 1000 wireless speakers if the price is $190 and $2600 if the price is $110. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Assuming that the supply and demand functions are linear, find the market equilibrium price and market equilibrium quantity

Answers

Answer:

The market equilibrium price is $160 and market equilibrium quantity is 1600

Step-by-step explanation:

A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.

The shape of a demand and supply curve will be: Q = m * P + b

The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)

A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:

1000 - 2600= m*(190 - 110)

and solving for m you get:

-1600=m*80

[tex]m=\frac{-1600}{80}[/tex]

m= -20

To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= -20*P + b

Replacing (P, Q) = (190,1000)

1000= -20*190 + b

1000= -3800 + b

1000 + 3800= b

4800= b

The demand function is Q= -20*P + 4800

In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:

800 - 2400= m*(128 - 192)

and solving for m you get:

-1600=m*(-64)

[tex]m=\frac{-1600}{-64}[/tex]

m= 25

To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= 25*P + b

Replacing (P, Q) = (128,800)

800= 25*128 + b

800= 3200 + b

800 - 3200= b

-2400= b

The supply function is Q= 25*P - 2400

The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:

-20*P + 4800= 25* P -2400

Solving for P:

-20*P - 25*P= -2400 - 4800

-45*P= -7200

[tex]P=\frac{-7200}{-45}[/tex]

P= 160

Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:

Q= 25*160 -2400

Q= 1600

Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600

A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt

Answers

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer:0.08912

Step-by-step explanation:

Can someone please help me out?

Answers

46.6 billion

explanation:

Isolate S on the left side by adding 1.9x to both sides. this gives you S = 4.8 + 1.9x. Plug in 22 for x because 2020 is 22 years from 1998.

4.8 + 1.9(22) = 46.6

Answer:

S=46.6

Step-by-step explanation:

x is the number of years :

from 1998 to 2020 = 22 years

S-1.9x=4.8

S-(1.9)(22)=4.8

S=4.8+41.8

S=46.6

Which scale factor was used to create triangle SRT?

Answers

Answer:

1.6

Step-by-step explanation:

5 times 1.6 is 8.

what is the answer 3x+15=8x

Answers

Answer:

3x +15 = 8x

5x = 15

x = 3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Move the Terms:

3x = 8x - 15

3x - 8x = -15

Collcect Terms.

-5x = -15

Divide:

3

Answer

x = 3

Hope this helped

Brainliest is appreciated

I can’t figure out how to find the average.

Answers

Answer:

The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Step-by-step explanation:

Remember what an average is. (Look at the hint at the bottom of the problem.)

To find the average of a set of numbers, add all the numbers and divide by the number of numbers.

For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.

In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.

We know 3 of the 4 scores. We don't know the fourth score because he has not taken the test yet, so we use a variable to represent the unknown score. Let's call the score of the fourth test x.

To find the average of the 4 scores, we add them and divide the sum by 4.

The three known scores are 63, 62, 74.

The unknown score is x.

Add all 4 scores: 63 + 62 + 74 + x.

Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.

[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]

The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.

We get this inequality.

[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]

Now we solve the inequality for x.

Add like terms in the numerator.

[tex] \dfrac{199 + x}{4} \ge 70 [/tex]

Multiply both sides by 4.

199 + x = 280

Subtract 199 from both sides.

x = 81

Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Use integration by parts to evaluate the indefinite integral
[ 2x sin(c) dx

Answers

Answer:

-2x cos x + 2 sin x + C

Step-by-step explanation:

∫ (2x sin x) dx

If u = 2x, then du = 2 dx.

If dv = sin dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 2x (-cos x) − ∫ (-cos x) (2 dx)

= -2x cos x + 2 ∫ cos x dx

= -2x cos x + 2 sin x + C

Answer:

[tex]\displaystyle \large{2 \sin x - 2x \cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:

[tex]\displaystyle \large{\int {2x \sin x} \ dx }[/tex]

Using by-part method, we have to substitute u-term and dv appropriately.

By-part is an integration of product rules, when integrated the product rules of differentiation, we’ll obtain:

[tex]\displaystyle \large{\int {u} \ dv = uv - \int {v} \ du}[/tex]

Above is by-part method/formula.

Where 4 terms are presented:

ududvv

Our main terms to substitute are u and dv which mean u-term has to be a function that’s differentiatable and dv has to be a function that’s integratable.

The main concept of by-part is to understand how to substitute appropriately which you can simply follow below:

LIATE

Stands for Logarithm, Inverse (Trigonometry), Algebraic, Trigonometric and Exponential.

These are in orders from first to last on what to let u-term first. That means logarithm functions must be the first to substitute themselves as u-term, so if you encounter a logarithmic function and a polynomial function, you must let u = logarithmic function while dv = polynomial.

In this case, we have 2x which is polynomial and sin(x) which is trigonometric. According to LIATE, we have to let Algebraic or Polynomial 2x be first to substitute as u-term, that means our dv is trigonometric sin(x).

Therefore, we have:

u = 2xdu = 2dx dv = sin(x)dxv = -cos(x)

Now, substitute these terms in accordingly to formula of by-part.

[tex]\displaystyle \large{\int {2x \sin x} \ dx = 2x \cdot (-\cos x) - \int {-\cos x \cdot 2 \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + \int {2 \cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \int {\cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \cdot \sin x + C}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \sin x + C}[/tex]

__________________________________________________

Summary

  Property

[tex]\displaystyle \large{ \int {k f(x)} \ dx = k \int{f(x)} \ dx \ \ \ \ \tt{(k \ \ \ is \ \ \ a \ \ \ constant.)}\\[/tex]

Only shown in explanation.

  By-Part

[tex]\displaystyle \large{\int u \ dv = uv- \int v \ du}[/tex]

  LIATE

The functions in order that should be u-term from first to last.

Logarithm Inverse Trigonometric

These functions above do not have integration formula by default.

Polynomial (Algebraic)TrigonometricExponential (Last since it’s the easiest to integrate, especially natural exponential)

  Indefinite Integral

Make sure to always add + C after evaluating the integral, regardless what multiplies or attempts to affect + C, we must always add + C.

__________________________________________________

3.60 rounded to the nearest tenth

Answers

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

Learn more about round-off here:

https://brainly.com/question/12051621

#SPJ6

Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r

Answers

Answer:

q = r

Step-by-step explanation:

Explanation:-

Given    2q – r = 4p ...(i)

                  2r = q...(ii)

                  r = 2p ...(iii)

Substitute 2r = q in equation (i)

              2(2r) – r = 4p

                     3 r = 4 p

                   2 r + r = 4 p

                   2 r + 2 p = 4 p

                  2 r = 2 p

                   q = r

         

13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.

Answers

Answer: 35 minutes

Step-by-step explanation:

Since we are given the value of h, we can plug that into the equation and solve.

20+15     [add]

35

Now, we know that it is 35 minutes.

Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.

a)Manny rode his bike for 3 hours. How far did he travel?



b)Manny rode his bike for 1.5 hours. How far did he travel?

Answers

Answer:

A. 54 miles B. 27 miles for the bikeathon

Answer:
A) 54
B) 27
Trust me

Which number is prime?
49
51
53
55​

Answers

Answer:

53

Good luck with your quiz/test :D

Answer:

53

Step-by-step explanation:

10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet​

Answers

Answer: 944 cubic feet

Step-by-step explanation:

Answer:

It’s 944

Step-by-step explanation:

It was on my last test and I got it right

10 x 1/5 in simplest form

Answers

Hey there!

ANSWER: [tex]2[/tex]EXPLANATION:

[tex]10*1/5[/tex]

Divide 10 by 5.

[tex]10/5=2\\2(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

2.

Step-by-step explanation:

[tex]10 *\frac{1}{5} = 2[/tex]

Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).

Answers

G (x) = G (-4)
First plug in -4 to all the x’s
G(-4)= -3(-4) + 2
Next, you solve it. We start with multiplication.
G(-4)= 12+2
Finally, add 12 + 2.
G(-4)=14
If this isn’t the answer, you can go deeper into the problem by finding the value of G.
We can do this by getting G by itself.
G(-4)=14
We can get G by itself, by dividing.
G(-4)=14
-7/2
-3 1/2

Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication

Answers

Answer:

you should use multiatication

Step-by-step explanation:

Answer:

lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS

Step-by-step explanation:

Find the area of the surface given by z = f(x, y) over the region R. (Hint: Some of the integrals are simpler in polar coordinates.) f(x, y) = 9 − x2 R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)

Answers

Answer:

The area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Step-by-step explanation:

From this study,

The surface area of f(x,y) is expressed by:

[tex]A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA[/tex]

where

[tex]0 \leq x \leq 2 \ and \ 0 \leq y \leq 2[/tex]

Given that:

f(x,y) = 9 - x²

Thus, [tex]f_x = -2x[/tex] and   [tex]f_y = 0[/tex]

However, the area becomes:

[tex]A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy[/tex]

[tex]A = \iint_R \sqrt{1+4x^2} \ dxdy[/tex]

From above, replacing x with [tex]\dfrac{1}{2} \ tan \ u[/tex]

then [tex]dx = \dfrac{1}{2} sec^2 \ udu[/tex]

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu[/tex]

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu[/tex]

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)[/tex]

Hence;

[tex]\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}[/tex]

[tex]\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Therefore, the area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of the longest side is unknown. What is the smallest possible whole-number length of the unknown side?

Answers

Answer:

17 inches.

Step-by-step explanation:

Answer:

answer is 17 inches

Step-by-step explanation:

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