In circle B, m DAC = 60°. Solve for v ifmDC = (7x – 42)°. If necessary,
round your answer to the nearest tenth.

In Circle B, M DAC = 60. Solve For V IfmDC = (7x 42). If Necessary,round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1


Related Questions

PLS HELP 30 points
Which point represents the outlier in the scatter plot?
(A) (2,4)
(B) (5,10)
(C) (9,10)
(D) (10,9)

Answers

Answer:

The answer is D : (10,9)

Step-by-step explanation:

As you can see... the cordinate (10,9) is far away from the other points, therefore it is clearly the outlier of the data set

PLEASE HELP WITH MATHS

Answers

Answer:

No biscuits.

Step-by-step explanation:

We know that there is a total of 100 biscuits.
Let's assign variables.

X=Icing
Y=Hundreds and Thousands

Z=Cherries

X appears every 5 biscuits, y appears every 8 biscuits, and z appears every 9 biscuits. Let's start solving by finding their multiples that are less than or equal to 100.

X: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

Y: 8,16,24,32,40,48,56,64,72,80,88,96

Z: 9,18,27,36,45,54,63,72,81,90,99

The multiples need to be a multiple of 5,8, and 9.

The numbers that have both x and y are: 40 and 80

The numbers that have both x and z are: 45 and 90.

Seeing as the numbers never overlap, there are no biscuits that have x,y, and z.

Note: If you like my answer, please rate it a 5 and click thanks! (It helps with my leveling. If you want to be extra nice, you can also give me brainliest if you want!) If you think there is something wrong with my answer or that there is something I should improve on, please leave it in the comments.

Evaluate for a = 2, b = 3, and c = 4.
ab + c

Answers

Answer:

10

Step-by-step explanation:

Given;

a = 2

b = 3

c =4

ab+c

Solve;

Since a = 2, b = 3, and c = 4

Substitute

(2)(3)+4

6 +4

= 10

Answer = 10

~Learn with lenvy~

Answer:

10

Step-by-step explanation:

Given the following question:

[tex]a=2[/tex]
[tex]b=3[/tex]
[tex]c=4[/tex]
[tex]ab+c[/tex]

To find the answer we need to substitute the values in for the variables and then solve using PEMDAS.

[tex]ab+c[/tex]
[tex]2\times3+4[/tex]
[tex]2\times3=6[/tex]
[tex]6+4[/tex]
[tex]6+4=10[/tex]
[tex]=10[/tex]

Your answer is "10."

Hope this helps.

Which statement explains why the value of [2.4] is 2 but the value of [-2.4] is –3? because 2 is the greatest integer not greater than 2.4, and –3 is the greatest integer not greater than –2.4 because 2.4 rounds to 2, and –2.4 rounds to –3 because 2.4 is positive, and –2.4 is negative because 2 is the least integer greater than 2.4, and –3 is the least integer greater than –2.4

Answers

Using the definition of the floor function, it is found that the correct statement is:

Because 2 is the greatest integer not greater than 2.4, and –3 is the greatest integer not greater than –2.4.

What is the floor function?

Modeled by [x], it is the value of the greatest integer that is not greater than x.

Hence, in this problem:

[2.4] = 2, as 2 < 2.4 < 3.[-2.4] = -3, as -3 < -2.4 < -2.

Hence, the correct statement is:

Because 2 is the greatest integer not greater than 2.4, and –3 is the greatest integer not greater than –2.4.

More can be learned about the floor function at https://brainly.com/question/15457745

Answer:

a

Step-by-step explanation:

on edge

Can anyone help me with this question?

Answers

Answer:

Penta Trinomial

Step-by-step explanation:

Highest power is 5 (penta)

Highest number of term is 3 (tri)

Answer:

6th degree trinomial

Step-by-step explanation:

Given polynomial

4xy⁵ + 2xy - x⁴y

It has 3 terms so is trinomial

It has degrees as

First term = 1 + 5 = 6Second term = 1+1 = 2Third term = 4+1 = 5

As the greatest degree is 6, this expression is 6th degree trinomial

write step by step pls
1/2r−3=3(4−3/2r)

Answers

Answer:

r = 3

Step-by-step explanation:

[tex]\dfrac{r}{2} - 3 = 3(4 - \dfrac{3r}{2} )[/tex]

The first step to solve for "r" is to simplify the distributive property on the RHS. To simplify the distributive property, we need to multiply the term outside the parenthesis with the terms inside the parenthesis.

[tex]\rightarrow \dfrac{r}{2} - 3 = 12 - \dfrac{9r}{2}[/tex]

Now, add 9r/2 and 3 both sides to isolate the constants and variables.

[tex]\rightarrow \dfrac{r}{2} + \dfrac{9r}{2} = 12 + 3[/tex]

Simplify both sides.

[tex]\rightarrow \dfrac{10r}{2}= 12 + 3[/tex]

[tex]\rightarrow 5r = 15[/tex]

Divide 5 both sides.

[tex]\rightarrow \boxed{r = \frac{15}{5} = 3}[/tex]

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.

Answers

Answer:

Explicit rule, because you can find the 40th term directly using the explicit rule. You would need to find the first 39 terms before finding the 40th terms using recursive rule.

hope this helps...

(Help ASAP will give 20 points for 2 questions)

Answers

Answer:

1.x,y is the answer to first question

2.y=2x+5

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units? x2 y2 4x 6y – 51 = 0 x² y² – 4x – 6y – 51 = 0 x2 y2 4x 6y – 3 = 0 x2 y2 – 4x – 6y – 3 = 0.

Answers

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is,

[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]

Given that,circle with a center at (–2, –3)

diameter of circle is  8 units

To find

the equation of the circle that represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.

Radius of the Circle is,

The diameter of the circle is 8 units. therefore,

[tex]radius=\frac{d}{2}=\frac{8}{2} =4[/tex]

Equation of a circle

The equation of the circle that represents the general form of a circle with a center at (–2, –3) and a radius of 4 units.

What is the general form of equation of circle?

[tex](x-h)^{2} +(y-k)^{2} =R^{2}[/tex]

Substituting the values,

[tex](x-(-2))^{2} + (y-(-3))^{2} =4^{2}[/tex]

[tex](x+2)^{2} + (y+3)^{2} =4^{2}\\[/tex]

[tex]x^{2} +4x+4+y^{2} +6y+9=0[/tex]

[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]

Therefore, the option C is correct.

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is

[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]

To learn more about the general form of circle visit:

https://brainly.com/question/3612143

3) Alex drove for 3 hours at an
average speed of 60 miles per
hour and for 2 hours at 45
miles per hour. What is his
average speed for the whole
journey?

Answers

average speed= total distance/total time taken

60+45= 105miles

1 mile= 1.609

105×1.609= 168.945km

168.945/4

Hence answer = 33.79 km/hr

Answer:

To find Alex's average speed for the whole journey, we can use the formula:

Average Speed = Total Distance / Total Time

Let's calculate the total distance traveled first:

Distance1 = 60 miles/hour * 3 hours = 180 miles

Distance2 = 45 miles/hour * 2 hours = 90 miles

Total Distance = Distance1 + Distance2 = 180 miles + 90 miles = 270 miles

Next, let's calculate the total time taken for the whole journey:

Total Time = 3 hours + 2 hours = 5 hours

Now, we can find the average speed:

Average Speed = 270 miles / 5 hours = 54 miles per hour

So, Alex's average speed for the whole journey is 54 miles per hour.

Please mark as Brainliest

plzzzzzzzzzzzz help plzz

Answers

Answer:

The zoo was open 362 days and had an average of 272 visitors a day.

Step-by-step explanation:

365-3=362

98,464÷362=272

Happy Birthday is having a party this weekend. The ratio of community friends to school friends attending the party is 8 to 14. Find an equivalent ratio of school friends to community friends.

Group of answer choices

24 to 18

28 to 16

16:28

18:24

Answers

Answer:

16: 28 is the answer for the above question

Can you please help me with this question it is due at 11:59 pm

Answers

Answer:

its 11:09 pm......

Step-by-step explanation:

are u on pc?

The equation 2x2 − 3x + 1 = 0 is in quadratic form. true or false

Answers

Answer:

True

Step-by-step explanation:

The equation 2x² - 3x + 1 = 0 is in quadratic form.

Answer:

True.

Step-by-step explanation:

The equation [tex]2x^{2} - 3x + 1 = 0[/tex] is in quadratic form because it meets the quadratic formula: [tex]Ax^{2} + Bx + C = 0[/tex].

Which system of equations represents the graph?

Answers

for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B


Which sequence: an=-2(an-1),a1=4

Answers

I’m not 100% positive but I think it’s the first one

Which expression is equivalent to 2(a + 3)? (a + 2)3 3(a + 2), 6a + 2, or 2a + 6​

Answers

Answer:

2a+6

I'm sure of it!!

trust me

4. Trials until First Success
On the average, how many times must a die be thrown until one gets a 6?

Answers

Answer:

6

Step-by-step explanation:

There are 6 faces on a die so on average, one has to roll a fair die 6 times in order to get number 6 to show.

On average it's 6 as 6 sides a die has

But

There is equal probability for each number while rolling a die .

i.e

There is 1/6 chances getting any number

guys please help me i need this done NOW

Answers

Answer:

see down

Step-by-step explanation:

10. a one to one function means only one  input goes to the same output,

this one is not a one to one function, because there is 2 out put for each input except vertx

Which expression has the same meaning as 4 9/2?

Answers

Answer:

8 1/2

or 8.5

Step-by-step explanation:

Answer:

The second one, √4^9

Sorry lol i posted the answer in the questions section by accident

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

(-2, -9)

explanation:

original coordinates of B: (7, 9)

use the formula: (x, y) ---> (x, -y)

if reflects over x-axis new coordinates: (7, -9)

If horizontally shifted there will be change in x axis,

new coordinates (7-9,-9) → (-2, -9)

Part I: Triangle ABC is called a special right triangle. What kind of special right triangle
is it (2 points)

Answers

Answer:

30-60-90 triangle

Angle BCD = 60

Hypotenuse is 2 times the length of short leg

The long leg is [tex]\sqrt{3}[/tex]  times the short leg

BC = 20

Step-by-step explanation:

I think the explanations are in the questions.

You need to memorize the relationships

if sec theta + tan theta equals to X then prove that sin theta equals to x square minus x whole divided by X square + 1​

Answers

Correct Question :-

If sec[tex]\theta[/tex] + tan[tex]\theta[/tex]= x , then prove that ,

[tex]\implies\sf sin\theta =\dfrac{x^2-1}{x^2+1}[/tex]

Proof :-

Here we are given that ,

[tex]\longrightarrow \sec\theta + tan\theta = x[/tex]

Firstly write everything in terms of sine and cosine .

[tex]\longrightarrow \dfrac{1}{\cos\theta}+\dfrac{\sin\theta}{\cos\theta}=x [/tex]

Add ,

[tex]\longrightarrow \dfrac{1+\sin\theta}{\cos\theta}=x [/tex]

On squaring both sides , we have ;

[tex]\longrightarrow \dfrac{(\sin\theta+1)^2}{(\cos\theta)^2}=x^2[/tex]

Simplify using identity sin²x + cos²x = 1 ,

[tex]\longrightarrow \dfrac{(1+\sin\theta)^2}{1-\sin^2\theta}=x^2 [/tex]

Simplify using identity (a+b)(a-b)=a²-b² ,

[tex]\longrightarrow \dfrac{(1+\sin\theta)^2}{(1+\sin\theta)(1-\sin\theta)}=x^2 [/tex]

Simplify,

[tex]\longrightarrow \dfrac{1+\sin\theta}{1-\sin\theta}=x^2 [/tex]

On using Componendo and Dividendo , we have ;

[tex]\longrightarrow \dfrac{1+\sin\theta+1-\sin\theta}{1+\sin\theta-1+\sin\theta}=\dfrac{x^2+1}{x^2-1}[/tex]

[tex]\longrightarrow \dfrac{2}{2\sin\theta}=\dfrac{x^2+1}{x^2-1}[/tex]

Simplify,

[tex]\longrightarrow \dfrac{1}{\sin\theta}=\dfrac{x^2+1}{x^2-1}\\[/tex]

Divide both the sides by 1 ,

[tex]\longrightarrow \underline{\underline{\sin\theta =\dfrac{x^2-1}{x^2+1}}} [/tex]

Hence proved .

And we are done !

[tex]\rule{200}4[/tex]

More to Know :-

1) Trigonometric table :-

[tex]\small{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]

[tex]\rule{200}4[/tex]

2) Important identities :-

[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]

[tex]\rule{200}4[/tex]

Question:

If sec theta + tan theta equals to x then prove that:-

[tex]\longrightarrow \: sin \theta = \frac{ {x}^{2} - { \bold{1}} }{ {x}^{2} + 1 } [/tex]

Solution:

Given that:

[tex]\longrightarrow \: sec \: \theta + tan \: \theta =x \: \: ..(i) [/tex]

We have to prove:

[tex]\longrightarrow \: sin \: \theta = \frac{ {x}^{2} - 1 }{ {x}^{2} + 1} [/tex]

We know that:

[tex]\longrightarrow \: { \sec}^{2} \theta \: - \: { \tan}^{2} \theta = 1[/tex]

[tex] \longrightarrow ( \sec \: \theta \: + \: \tan \: \theta)( \sec \: \theta - \tan \: \theta )[/tex]

[tex] \longrightarrow x( \sec \: \theta - \tan \: \theta) \: = 1[/tex]

[tex] \longrightarrow \: \sec \theta - \tan \: \theta = \frac{1}{x} \ ..(ii)[/tex]

Adding equation (i) and (ii), we get:

[tex] \longrightarrow \: 2\sec \theta = x + \frac{1}{x} [/tex]

[tex] \longrightarrow \: 2 \sec \: \theta = \frac{ {x}^{2} + 1}{x} [/tex]

[tex] \longrightarrow \: \sec \: \theta = \frac{ {x}^{2} + 1}{2x} [/tex]

[tex] \longrightarrow \: \cos \: \theta = \frac{2x}{ {x}^{2} + 1 } [/tex]

Now, we know that:

[tex] \longrightarrow \: { \sin}^{2} \theta + { \cos }^{2} \: \theta = 1[/tex]

Therefore,

[tex] \longrightarrow \: \sin \theta \: = \sqrt{1 - { \cos }^{2} } \: \theta[/tex]

[tex] \longrightarrow \: \sin \: \theta = {\sqrt{1 - ( \frac{2x}{ {x}^{2} + 1} } )}^{2} [/tex]

[tex] \longrightarrow \: \sin \: \theta = \sqrt{ \frac{ {({x}^{2} + 1)}^{2} - {(2x)}^{2} }{( {x}^{2} + 1)} } [/tex]

[tex] \longrightarrow \: \sin \: \theta = \sqrt{ \frac{ {x}^{4} \: + 2 {x}^{2} + 1 - \: 4 {x}^{2} }{( {x}^{2} { + 1)}^{2} } } [/tex]

[tex] \longrightarrow \: \sin \: \theta = \sqrt{ \frac{ {x}^{4} - {2x}^{2} + 1 }{( {x}^{2} { + 1)}^{2} } } [/tex]

[tex] \longrightarrow \: \sin \: \theta = \sqrt{ \frac{( {x}^{2} { - 1)}^{2} }{ {(x}^{2} + {1)}^{2} } } [/tex]

[tex] \longrightarrow \: \sin \: \theta = \frac{ {x}^{2} - 1 }{ {x}^{2} + 1} [/tex]

Hence Proved..!!

[tex] \: [/tex]

Learn More:1. Relationship between sides and T-Ratios.sin θ = Height/Hypotenusecos θ = Base/Hypotenusetan θ = Height/Basecot θ = Base/Heightsec θ = Hypotenuse/Basecosec θ = Hypotenuse/Height2. Square formulae.sin²θ + cos²θ = 1cosec²θ - cot²θ = 1sec²θ - tan²θ = 13. Reciprocal Relationship.sin θ = 1/cosec θcos θ = 1/sec θ tan θ = 1/cot θcosec θ = 1/sin θsec θ = 1/cos θtan θ = 1/cot θ4. Cofunction identities.sin(90° - θ) = cos θcos(90° - θ) = sin θcosec(90° - θ) = sec θsec(90° - θ) = cosec θtan(90° - θ) = cot θcot(90° - θ) = tan θ5. Even odd identities.sin -θ = -sin θcos -θ = cos θtan -θ = -tan θ

Lesson 7.1 Extra Practice Find the area of the parallelogram. 1. 8 m 5 m​

Answers

Answer:

9m

Step-by-step explanation:

A parallelogram you have listed has the following side lengths:
1.8m and 5m.

First, we need to understand the formula and simply comprehend it.
In this case, we're dealing with an area of a quadrilateral which is a four-sided shape.

The area is base times height.

You will simply need to do 1.8 x 5 = m

That is pretty simple. You need to setup a question like this:

1.8

x 5

____

 9.0

Remember you need to move the decimal point when you're done mulitplying. This case 9.0 is simply 9 by itself.

can someone please help me?

Answers

Answer:

a

Step-by-step explanation:

Find the line's slope and a point on the line.
PLEASE SOME1 ANSWER ASAP​

Answers

Slope= 1/5
point = (0,-19/5)

Find sin Y, cos Y, and tan Y. Write each answer as a fraction and as a decimal rounded to the nearest hundredth.

Answers

Okay I just got up from church so I’m going back to church tomorrow but I’m just waiting for you guys eye to sleep sleep now I’m going to church tomorrow but I just don’t want to wake wake me then wake me wake wake me up wake wake up wake me up wake wake up wake me up wake wake up wake me up wake wake up

Match each equation to its equivalent equation.

-6x - 2y = 10
2x + 5y = 18
-4x + 3y = 20

12x - 9y = -60
-24x - 8y = 40
4x + 10y = 36

Answers

Answer:

-6x - 2y = 10 and -24x - 8y = 40
-4x + 3y = 20 and 12x - 9y = -60
2x + 5y = 18 and 4x + 10y = 36

Step-by-step explanation:

first equation with second row second equation
third equation with second row first equation

second equation with second row third equation

-6x -2y=10 with -24x -8y= 40

2x + 5y=18 with 4x +10y = 36

-4x + 3y=20 with 12x - 9y= -60

billy has $3 bubble gum cost $.30. he bought four pieces how much money does billy have left

Answers

Answer: $1.08

Step-by-step explanation:

30cent x 4 = 120 cents. 1 dollar and 20 cents, $3 - $1.20 = $1.08

Answer:

Billy has 1.8 dollars left.

Step-by-step explanation:

So, .30 x 4 is 1.2. I subtracted 1.2 from 3 and got 1.8. I hope it's the right answer and wish you luck on the rest of your work!

A football team won 67% of their matches and drew 24% of them. What percentage of the matches did they lose?

Answers

Answer:

9%

Step-by-step explanation:

67 + 24 = 91%

100- 91 = 9%

This means they lost 9% of their games.

The requried football team lost 9% of their matches.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.


Since the football team won 67% of their matches and drew 24% of them, the percentage of matches they lost can be found by subtracting the percentage of matches they won and the percentage of matches they drew from 100%:

Percentage of matches lost = 100% - 67% - 24%

Percentage of matches lost = 9%

Therefore, the football team lost 9% of their matches.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ3

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