help me on both questions as attached below.
Also it's workings on how to get that if possible
​

Check the picture below.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]

The number of students whose favorite color was blue is 184.

WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.

We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.

Consider x be the number of students who chose blue as their favorite color.

Therefore, the number of students who chose red is;

77% of 800

= 77/100 × 800

= 616

To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.

Therefore:

x = Total number of students surveyed - Number of students who chose red

x = 800 - 616

x = 184

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The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

Given that trigonometric ratio:

[tex]tan\theta = \frac{11}{60}[/tex]

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to [tex]\theta[/tex] = 11

Adjacent side to [tex]\theta[/tex] = 60

So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]

[tex]cot\theta =\frac{60}{11}[/tex]

Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

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Answer:

60/11 is correct (option c)

Step-by-step explanation:

I just took the test

Answer:

y=2x+b

Step-by-step explanation:

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

Answer:

Answer: 1/3, 4/5, 7/8, 9/10

Step-by-step explanation:

4/5 9/10 1/3 7/8

240

5*48=240  4*48=192      192/240

10*24=240 9*24=216        216/240

3*80=240   1*80=80          80/240

8*30=240    7*30=210        210/240

Answer:

option 1 (the basic)

Convert it into a common factor.

So everything in the denominator has to have a common multiple then we can compare from there.

You can either find every multiple here and then see which ones the same or multiply them all (not recommended)

so 120 is the common factor here.

I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.

8 here is the one I calculated.

My process:

8*5 = 40

40 doesnt go to 3

8*10 = 80

80 doesn’t go to 3

8*15 = 120

120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)

So 120 is the denominator.

Now we divide each to find the numerator now.

120/5 = 24

So we multiplieds 24 by 5 to get 120.

Thats the bottom, whatever we do on the bottom we do to the top.

So 4 * 24 is 96

96/120

Now lets fast forward

In the end you’d end up with in the order we began with

96/120 …(4/5)

108/ 120 …(9/10)

40/120 …(1/3)

105/120 …(7/8)

Now we put them in order from least to greatest in this case.

40/120 …(1/3)

96/120 …(4/5)

105/120 …(7/8)

108/120 …(9/10)

Your order would be

1/3

4/5

7/8

9/10

Option 2 (the decimal)

SO in this case you jsut convert them into a decimal then compare

This is relatively easier since its jsut basic division with decimal.

You do numerator divide by denominator.

4 ÷ 5 = 0.8

9 ÷ 10 = 0.9

1 ÷ 3 = 0.3333333…

7 ÷ 8 = 0.875

Now you just put them in order

0.2, 0.333…, 0.875, 0.9

Same order as before

1/3, 4/5, 7/8, 9/10

Answer:

Total number of marbles in the bag is 3 + 4 = 7.

The problem asks for the probability of (RR) or (BB).

It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from

Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49

Answer:

it is B

Step-by-step explanation:

B is 1 1/20 and A is only 17/18

Answer:

Step-by-step explanation:

Answer: 27 and 9

Step-by-step explanation:

Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.

Hello!

Please remember that

What is a variable?

So a coefficient is basically a number before a letter (like 27x)

Hence, the coefficients are

[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

(a). The solution is [tex]n > 6[/tex]

(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

(a). The given inequality is;

                  [tex]15n > 12n+18[/tex]

Now we have to solve inequality,

                    [tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]

(b).  Inequality is [tex]-2 < n+3\leq 4[/tex]

  Now we have to solve inequality,

                    [tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]

So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

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Answer:

Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.

Answer:

115.5

Step-by-step explanation:

area of the square: (20-7) x 7 = 13x7 = 91

area of triangle: 7x7 / 2 = 49/2 = 24.5

total area = 91+24.5

= 115.5 in

I'm not sure, but I'm guessing it's this.

Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

Answer:

Step-by-step explanation:

3) Definition of supplementary angles

4) Consecutive interior angles converse

5) Alternate interior angles

6) AA similarity

For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;

[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]

[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]

[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]

[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]

Now, turning to the second equation ;

[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]

[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]

[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]

[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

I am assuming you want to factor these expressions.

6q^2 - 17q + 12

We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.

Theses are -9 and -8 so we write:

= 6q^2 - 9q - 8q + 12

= 3q(2q - 3) - 4(2q - 3)

= (3q - 4)(2q - 3)

If you want the solution of this expression = zero they are q = 4/3, 3/2.

8s^2 + 2s - 15

8 * -15 = -120.   -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)

= 8s^2 + 12s - 10s - 15

= 4s(2s + 3) - 5(2s + 3)

= (4s - 5)(2s + 3)

If you want the solution of this expression = zero they are s = 5/4, -3/2.

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b + v_w = \frac{48}{3}[/tex]

[tex]v_b + v_w = 16[/tex]

Her flight home against the wind took 4 fours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b - v_w = \frac{48}{4}[/tex]

[tex]v_b - v_w = 12[/tex]

Adding the two equations:

[tex]2v_b = 28[/tex]

[tex]v_b = 14[/tex]

[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]

Hence:

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

Step-by-step explanation:

please mark me as brainlest

Answer:

6a - 9

Step-by-step explanation:

[tex]12(3a-1) -3(14a-1)\\[/tex]

First you want to factor. Factor out a -3 from both terms.

[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]

Then you want to expand the right bracket.

[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]

Collect the like terms

[tex]= (-3)(-2a +3)\\[/tex]

Distribute:

[tex]= 6a - 9[/tex]

Answer:

no 4. radius is x

no 5. radius is a

no 6. radius is y

Step-by-step explanation:

have no idea about tangents

Solution 4 :-

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Solution 5 :-

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Solution 6 :-

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★ Important terms to keep in mind :-

⠀

✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.

⠀

✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.

⠀

✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.

⠀

✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.

⠀

✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.

⠀

✰ Secant : A line segment joining exactly two points of a circle is known as secant.

⠀

✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

Step-by-step explanation:

Cavalier's Principle tells you that the slant figures with the same base area and height have the same volume, regardless of the amount of offset.

__

The volume of the oblique cylinder is the same as the volume of the right cylinder: 700 cubic centimeters.

__

Disagree. Both the volume formula for the pyramid and Cavalier's Principle tell you that the volume is not a function of the slant height.

Answer: Angle 3

Step-by-step explanation:

Answer:

when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18

Step-by-step explanation:

When it has the same numbers for its numerator and denominator it will be 100%

Answer:

Solid A

Step-by-step explanation:

Surface area of a cube: 6 x a², where a is the side.

= 6 x 6²

= 6 x 36

= 216 cm²

Surface area of the cuboid/rectangular prism: 2(lw + wh + lh), where l is the length, w is the width, h is height.

= 2((5 x 4) + (4 x 8) + (5 x 8))

= 2(20 + 32 + 40)

= 2(92)

= 184 cm²

Therefore, Solid A has the larger surface area compared to Solid B.

Answer:

B.

Step-by-step explanation:

6x3=18

18x4=72

3x3=9

9x2=18

72=18=90

Answer:

x^2+9x+14

Step-by-step explanation:

x×(x+7)+2×(x+7)

x^2+7x+2x +14

x^2+9x+14

option A

hope it's correct and really helps...!!!

Answer: the answer is A i got 100% on my

test

Step-by-step explanation:

Answer:  called tthe term of an algebraic expression.

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

Answer:

The measure of angle PRT would be:
B.) 90 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer


The angle letters PRT all will connect at one point which is the angle we will measure.
Angle PRT = 90 degrees

Answer:

Step-by-step explanation:

1/3 of the original

Step-by-step explanation:

one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size