Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

     [tex]\frac{area}{width}[/tex]=length

     [tex]\frac{105}{7}[/tex]= 15

      Length=15

2: Pythagorean theorem

      [tex]a^{2} +b^2=c^2[/tex]

       [tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]

       49+225=[tex]c^2[/tex]

        275=[tex]c^2[/tex]

         [tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]

          16.55≈c

           Rounded to nearest tenth

              16.6

Answer:

6=b

Switch sides

b=6

Answer:

a=10 and b=6

Step-by-step explanation:

it is in picture

Please mark me as brainliest

Answer:

I think angle B is the longest and angle C is shortest.

If this is incorrect forgive me plz

Answer: See below

Step-by-step explanation:

The graph above or below should answer the question.

Answer:

30 min

Step-by-step explanation:

60 divided by 20= 30min

The value of m for the complex number to be purely real are 3 and -5.

The value of m for the complex number to be purely imaginary are -2 and 3.

For the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Given the complex number:

[tex]z=\frac{m^2-m-6}{m+3}+(m^2-2m-15)i[/tex]

a) For the complex number to be purely real, then the imaginary part of the complex number must be zero that is:

[tex](m^2-2m-15)i = 0\\m^2-2m-15=0[/tex]

Factorize

[tex]m^2+5m-3m-15=0\\m(m+5)-3(m+5)=0\\(m-3)(m+5)=0\\m-3=0 \ and \ m+5=0\\m=3 \ and \ m=-5[/tex]

Hence the value of m for the complex number to be purely real are 3 and -5.

b) For the complex number to be purely imaginary, then the real part of the complex number must be zero. Hence;

[tex]\frac{m^2-m-6}{m+3}=0 \\m^2-m-6=0[/tex]

Factorize

[tex]m^2-m-6\\m^2-3m+2m-6=0\\m(m-3)+2(m-3)=0\\(m+2)(m-3)=0\\m+2=0 \ and \ m-3=0\\m=-2 \ and \ m = 3[/tex]

Hence the value of m for the complex number to be purely imaginary are -2 and 3.

c) For the complex number to be in the second quadrant, then the ratio of y to x must be negative i.e less than zero as shown:

[tex]\frac{m^2-2m-15}{\frac{m^2-m-6}{m+3} } < 0\\ \frac{m^2-2m-15(m+3)}{{m^2-m-6} }\\ \frac{(m+3)(m-5)(m+3)}{{(m-3)(m+2)} } <0\\(m+3)(m-5)(m+3) <0\\m+3<0, m-5<0 \ and \ m+3<0\\m<-3 \ and \ m<5[/tex]

Hence for the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Answer:

A

Step-by-step explanation:

A compressed by a factor of 1/4 in the y or vertical direction

Answer:

30 degrees.

Step-by-step explanation:

Let the acute angle be x.

Then as the 2 acute angles in a right triangle sum to 90 degrees,

x = 90 - 60

= 30.

We used the information we know to give us this equation.

90°+60°+x=180°

We add 90° and 60° to give 150°

150°+x=180°

Answer:

Step-by-step explanation:

Small cone:

r = 4 mm

h = 8 mm

Volume of small cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

                                    [tex]=\frac{1}{3}*\pi *4*4*8\\\\=\frac{128}{3}*\pi \ mm^{3}[/tex]

Bigger cone :

r = 8 mm

h = 16 mm

Volume of bigger cone = [tex]\frac{1}{3}*\pi *8*8*16[/tex]

                                       [tex]= \frac{1024}{3}\pi \ mm^{3}[/tex]

Volume of the space = Volume of bigger cone - volume of small cone

                                   [tex]= \frac{1024}{3}\pi-\frac{128}{3} \pi \\\\=\frac{896}{3}*\pi \\\\= \frac{896}{3}*3.14\\\\= 937.81 \ cm^{3}[/tex]

Answer:

The midpoint is (1.5, -5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -3+6) /2 = 3/2 = 1.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -5+-5) /2 = -10/2 =-5

The midpoint is (1.5, -5)

Hi!

[tex]A=(-3,-5) \ and \ B=(6,-5)\\\\Medium \ point=(\frac{-3+6}{2};\frac{-5+(-5)}{2})=\boxed{(\frac{3}{2};-5)}[/tex]

Answer:

The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.

Step-by-step explanation:

Answer:

The line of reflection in [tex]y=mx+b[/tex] form is [tex]y=\frac{1}{3} x-2[/tex]

Step-by-step explanation:

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Answer:

[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]

Step-by-step explanation:

Answer:

C) 840

C) 87

D) 3000-150n

Step-by-step explanation:

Answer:

c

c

d

Step-by-step explanation:

Answer: x=1 and y=0

Step-by-step explanation:

y+2x=2x

y=2x-2x

y=0

2x=2. X = 2/2

X=1

Answer:

x=1   y=0

Step-by-step explanation:

y + 2 = 2x               y = 2x - 2

y + 2x = 2

(2x - 2) + 2x = 2

4x = 4

x = 1

y + 2 = 2(1)

y + 2 = 2

y = 0

Answer:

1.11

Step-by-step explanation:

Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11

Answer:

9 to 3

Step-by-step explanation:

Those who don't enjoy reading: 8+1=9

Those who don't enjoy playing video games: 1+2=3

Ratio is 9 to 3.

Answer:

DE ║ BC

BC = 2(DE)

Step-by-step explanation:

From the picture attached,

AD = DB [Given]

AE = EC [Given]

Therefore, points D and E will be the midpoints of the sides AB and AC.

By midsegment theorem,

Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.

DE ║ BC

DE = [tex]\frac{1}{2}(BC)[/tex]

BC = 2(DE)

Answer:

e s r

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

In a square,

All the four angles are equal. Each angle = 90.

All the four sides are equal.

Answer:

75

Step-by-step explanation:

I'm assuming it is asking for how many laps does she need for her target because you haven't included the whole question.

34+41=75

Step-by-step explanation:

what is the question ?

just in case : I assume you want to know how many laps she had to swim overall today ?

you really need help with that ? you have no calculator ?

she needed to swim 34 + 41 = 75 laps.

Answer:

f(p)=3p+4

Explanation:

Answer:

i guess Bis the answer bcuz, A sample space is a collection or a set of possible outcomes of a random experiment

Statement B is correct, which best defines the sample space that is " a sample space is the set of all possible outcomes for the a given situation".

A sample space is a collection or a set of possible outcomes of a random experiment. It is represented by using the symbol "s".

For example,

When we flip or toss a coin, two outcomes are possible such as head and tail. Therefore the sample space for this experiment is given as

Sample space, S = {H, T} = {Head, Tail}

According to the given option

Option B is correct. That is a sample space is the set of all possible outcomes for a given situation.

Learn more about sample space here:

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Answer:

72√2

Step-by-step explanation:

3√2 × 2√8 × √3 × √6

The above can be simplified as follow:

3√2 × 2√8 × √3 × √6

Recall

a√c × b√d = (a×b)√(c×d)

3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)

= 6√288

Recall

288 = 144 × 2

6√288 = 6√(144 × 2)

Recall

√(a×b) = √a × √b

6√(144 × 2) = 6 × √144 × √2

= 6 × 12 × √2

= 72√2

Therefore,

3√2 × 2√8 × √3 × √6 = 72√2

Lets do

[tex] \\ \sf \longmapsto \: 3(x + 5) - 7 = 2(x +2) \\ \\ \sf \longmapsto \: 3x + 15 - 7 = 2x + 4 \\ \\ \sf \longmapsto \: 3x + 8 = 2x + 4 \\ \\ \sf \longmapsto \: 3x - 2x = 4 - 8 \\ \\ \sf \longmapsto \: x = - 4[/tex]

Answer:

m<EFG = 72°

m<GFH = 108°

Step-by-step explanation:

m<EFG = 2n + 16

m<GFH = 3n + 24

Linear pairs are supplementary, therefore,

m<EFG + m<GFH = 180°

Substitute

2n + 16 + 3n + 24 = 180

Add like terms

5n + 40 = 180

5n + 40 - 40 = 180 - 40 (subtraction property of equality)

5n = 140

5n/5 = 140/5 (division property of equality)

n = 28

✔️m<EFG = 2n + 16

Plug in the value of n

m<EFG = 2(28) + 16 = 72°

✔️m<GFH = 3n + 24

Plug in the value of n

m<GFH = 3(28) + 24 = 108°

Answer:

Step-by-step explanation:

The easiest way to do this is to complete the square on the quadratic. This allows us to see what the vertex is and answer the question without having to plug in a ton of numbers to see what the max y value is. Completing the square will naturally put the equation into vertex form:

[tex]y=-a(x-h)^2+k[/tex] where h will be the time it takes to get to a height of k.

Begin by setting the quadratic equal to 0 and then moving over the constant, like this:

[tex]-4.9t^2+19.6t=-58.8[/tex] and the rule is that the leading coefficient has to be a 1. Ours is a -4.9 so we have to factor it out:

[tex]-4.9(t^2-4t)=-58.8[/tex] Now take half the linear term, square it, and add it to both sides. Our linear term is a -4, from -4t. Half of -4 is -2, and -2 squared is 4, so we add a 4 to both sides. BUT on the left we have that -4.9 out front there as a multiplier, so we ACTUALLY added on to the left was -4.9(4) which is -19.6:

[tex]-4.9(t^2-4t+4)=-58.8-19.6[/tex] and now we have to clean this up. The right side is easy, that is -78.4. The left side...not so much.

The reason we complete the square is to create a perfect square binomial, which is the [tex](x-h)^2[/tex] part from above. Completing the square does this naturally, now it's just up to us to write the binomial created during the process:

[tex]-4.9(t-2)^2=-78.4[/tex] Now, move the constant back over and set the equation back equal to y:

[tex]-4.9(t-2)^2+78.4=s(t)[/tex] and we see that the vertex is (2, 78.4). That means that 2 seconds after launch, the object reached its max height of 78.4 meters, the third choice down.

Answer:

Step-by-step explanation:

42000+67000+305000=1403000(1897500-140300=1757200

The profit each of them received is $150500,$236500 and $107500

It is given that Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500, we have to find the profit each of them received

What is Profit?

Profit= Selling Price - Cost price

Total Investment= $427000+$671000+$305000

=$1403000

Profit=$1897500-$1403000=$494500

Profit share=(Investment/Total Investment)*Total Profit

Albert Profit=($427000/$1403000)*$494500=$150500

Imran Profit=($671000/$1403000)*$494500=$236500

Siti Profit=($305000/$1403000)*$494500=$107500

Therefore profit each of them received is $150,500, $236500, $107500

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Answer:

option A is write answer

I hope you help

Answer:

none of these

Step-by-step explanation:

it's 96000 so none

Answer:

Solution given:

radius [r]=3ft

height[h]=5ft

Volume of cone=⅓*πr²h

$ubstitute value

Volume of cone =⅓*3.14*3²*5=47.1ft²

Volume of cone is 47.1ft²