find the value of a and explain

Answer:

315.1° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer: Choice D.   2x^2+2y^2 = 32

=================================================

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Answer:

Angle:

When two lines/rays intersect at a point, they form an angle.

=> Angles may be in radians and degrees.

See the attached file in which two rays intersect to form an angle.

Answer:

[tex]\boxed{\mathrm{view \: explanation \: and \: attachment}}[/tex]

Step-by-step explanation:

Two lines (arms/rays) intersect at one point (vertex) creating an angle.

Answer:  $1,077.50   or   $1,078.06 (see below)

Step-by-step explanation:

Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.

Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50

Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56

⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06

Answer:

0.16

Step-by-step explanation:

See the picture attached for reference.

As you see the best points are the green areas which covers 2 out of 5 zones.

Since it is same for both broken points, the probability of  this is:

Answer is 0.16

__♥__♥_____♥__♥___ Put This

_♥_____♥_♥_____♥__ Heart

_♥______♥______♥__ On Your

__♥_____/______♥__ Page If

___♥____\_____♥___ You Had

____♥___/___♥_____ Your Heart

______♥_\_♥_______ Broken

________♥_________…………….

Answer:

  20 km/hr

Step-by-step explanation:

The boat's still-water speed is the average of its speeds against and with the current:

  (15 +25)/2 = 20 . . . km/hr

__

If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.

  b - c = 15 . . . . upstream speed

  b + c = 25 . . . . downstream speed

Add these two equations, and you get ...

  (b -c) +(b +c) = (15) +(25)

  2b = 40

  b = 20 . . . . divide by 2

The speed of the boat in still water is 20 km/hr.

Answer:

20 km/hr

Step-by-step explanation:

To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.

15 +25=40

40/2=20

20km/hr!!!

Good luck on what you are doing I hope you do well! Brainliest would be great :)

Answer:

Step-by-step explanation:

To calculate the horizontal distance d we use cosine

cos ∅ = adjacent / hypotenuse

From the question

d is the adjacent

the hypotenuse is 145m

So we have

cos 55 = d / 145

d = 145 cos 55

d = 83.16

d is 83.2 meters to 3 significant figures

Hope this helps you

Answer:

Slope = 3

Step-by-step explanation:

Slope is rise (vertical distance) over run (horizontal distance).

Our rise is equal to 3

Our run is equal to 1

So, slope = 3/1 = 3

Answer:

55

Step-by-step explanation:

35+90=125

180-125=55

The interior angles of a triangle should always add up to 180 degrees

Answer:

B=55 degrees

Step-by-step explanation:

if the shape is a triangle then the sum of the angles of the triangle is 180

angles :A+B+C=180

35+B+90=180

B=180-125

B=55 degrees

Answer:

x is less than or equal to -18

Step-by-step explanation:

When doing this problem, I had to do -6 x 3 and x/3 x 3. This should cancel out the 3 in x/3, leaving you with just x. -6 x 3 is less or equal to -18. To check, I converted -18/3 into a whole number, which gave me -6. This is true to the original inequality. Hope this helped!

Answer:

1) A'(8, -10)

B'(10, -8)

C'(2, -4)

2) A''(8, -4)

B''(10, -6)

C''(10, -10)

Step-by-step explanation:

1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;

The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)

The coordinates of the point A(8, 8) will be A'(8, -10)

The coordinate of the point B(10, 6) will be B'(10, -8)

2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;

The coordinates of the point A'(8, -10) will be A''(8, -4)

The coordinate of the point B'(10, -8) will be B''(10, -6)

The coordinate of the point C'(2, -4)will be C''(10, -10)

Which gives, a total translation of -12 units down as follows;

A''(8, -4) - A(8, 8) = (0, -12)

B(10, 6) - B''(10, -6) = (0, -12)

C(2, 2) - C''(10, -10) = (0, -12).

Answer:   [tex]\dfrac{49}{99}[/tex]

Step-by-step explanation:

There are 61 boys --> 38 girls

A) 19 chose football: 5 are girls --> 14 are boys

B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis

C) 31 students chose tennis: 5 are girls --> 26 are boys.

D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.

[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]

Total running = 21 boys + 28 girls = 49

Total students = 99

[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]

Answer:

C

Step-by-step explanation:

4:10 ≠ 6:8

Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

Answer: D

Step-by-step explanation:

In synthetic division, if the divisor is an expression like x+3, you should always switch it to if x+3 were equal to 0.

[tex]x+3=0\\x=-3[/tex]

So, you should use -3. The only options with -3 are B and D.

The coefficients for the dividend are 7, -2, and 4, so D is the correct answer.

Hope this helps! If you still have questions, please ask.

The homework completed by Eric will be equal to 13/21.

The fraction is defined as the division of the whole part into an equal number of parts.

To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.

To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.

You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and if you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.

Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.

To know more about fractions follow

https://brainly.com/question/78672

#SPJ2

Answer:

[tex]30x^2y^4z^4[/tex]

Step-by-step explanation:

If we multiply 6x by 5x, we get [tex]30x^2[/tex].

If we multiply y by [tex]y^{3}[/tex], we get [tex]y^{4}[/tex].

z stays the same, since it's not being multiplied by anything.

Hope this helped!

Answer:

Step-by-step explanation:

Multiply each term:

30x^2y^4z^4

Plz mark me brainliest!!

Answer:

B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.

Step-by-step explanation:

Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.

Answer:36

Step-by-step explanation: first I did

9÷5=1.80 per box.

so then I did 1.80 x 20 which = 36

Answer:

20 boxes cost $36

Step-by-step explanation:

Using proportions,

5 boxes cost 9$

20 boxes cost X$

Cross multiply

X = 9/5 * 20 = 36$

Answer:

[tex] r = 17.5 [/tex]

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]

Plug in the values stated above into the formula

[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]

[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]

[tex] r^2 = 261 + 46.584 [/tex]

[tex] r^2 = 307.584 [/tex]

[tex] r = \sqrt{307.584} [/tex]

[tex] r = 17.5 [/tex] (to the nearest tenth)

Answer:

Step-by-step explanation:

ABC is a right angle triangle.

Therefore,

[tex]cos \: (75) = \frac{ab}{ac} [/tex]

Plug the values

[tex]cos \: (75) = \frac{x}{21} [/tex]

Apply cross product property

[tex]x = 21 \times cos(75)[/tex]

Calculate

[tex]x = 5.435[/tex]

After rounding to the nearest tenth, the answer will be:

[tex]x = 5.4[/tex]

Hope this helps...

Best regards!!

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

Answer:

44

Step-by-step explanation:

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: [tex](x^2 + x + 2)(x^2 - 2x + 3)[/tex]

By using distributive property: a(b+c+d)= ab+ac+ad

[tex](x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6[/tex]

Maximum possible terms =9

Combine like terms

[tex]x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6[/tex]

Hence, [tex]\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6[/tex]

Degree of polynomial (highest degree) =4

Number of terms = 5

Answer:

Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an  x2 term, an x term, and a constant term.

The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.

The maximum number of terms in the product of the trinomials is 5.

There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.

Explanation:

This is the response on Edge 2020-21. Hope this helps, have a great day!

Answer:

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

Answer:

It’s 87° for mine

Step-by-step explanation:

C.

Because the marble is not replaced and that affects the next event where another marble is chosen.

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

Now,

A. Rolling an odd number, and then rolling an even number.

This is an independent event.

B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.

This is an independent event.

C. You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

D. You roll a 4 and then spin yellow on a spinner.

This is an independent event.

Thus,

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ6

Answer:

[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.

Step-by-step explanation:

The given expression is,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

By solving this expression,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Therefore, fraction given in option (2) will be the answer.

Answer:

The standard form of the equation is y = -x/2 -2

Step-by-step explanation:

The standard form of equation of this line is expressing the line in the form;

y = mx + c

So let’s make a rearrangement to what we have at hand;

y + 7 = -1/2(x-10)

2(y + 7) = -1(x-10)

2y + 14 = -x + 10

2y = -x + 10 -14

2y = -x -4

divide through by 2

y = -x/2 -2

a. True.

b. False.

c. True.

d. True.

e. True.

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)