Need help on number 10
If tan C is 3/4, find the sin C.

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

Convert to vertex form by completing the square

[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]

Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].

Answer:

x=-4

Step-by-step explanation:

i took the test

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1

substitute y - 1 in for x in the first equation, to find y

y - 1 + y = 4

2y - 1 = 4

add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5

divide by 2 on both sides

2y/2 = 5/2

y = 5/2

subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2

so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

Answer:

3

Step-by-step explanation:

Answer: The correct answer is 3

Step-by-step explanation:

:) it should be correct have a good day!

Answer:

One

Step-by-step explanation:

       First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.

       To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.

            However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given equation:

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

Rewrite in standard form:

[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]

Therefore

Since it is an equilateral triangle, all the sides are equal

(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)

4x-10 = 3x+2          Simplify like terms

x = 12

If you want to prove, just plug 12 back into each side

Hope this helped :)

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ;  b= a & c = 3

8(a + 3) = 8*a + 8*3

            = 8a + 24

Answer:

72.6

Step-by-step explanation:

180-107.4 = 72.6

Answer:

the answer is 40%

Step-by-step explanation:

240 – 144 = 96

96÷240=0.4=40%

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer:

8 in

Step-by-step explanation:

A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2

The legs are equal in length.

The length of the hypotenuse is √2 times the length of a leg.

Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.

Answer:

1/5

Step-by-step explanation:

Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.

The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration

Our double integral will become

[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]

Step-by-step explanation:

we cannot read the name of the vertical line through B, but I guess that is "m".

so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.

therefore, if I understand the question correctly, the second option (line BA) is right.

because the reflected image of line BC is line BA.

Answer:

Any ratio where the original sides are both multiplied by the same number.

For example,

4 : 5  (your ratio)

4 x 2 : 5 x 2  (multiply both sides by a number)

8 : 10   (equivalent ration)

Answer:

10 6/25

Step-by-step explanation:

"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.

Then "three and one fifth" of 1 1/2 is:

3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25

Answer:

0.11

Step-by-step explanation:

[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]

Answer:

Step-by-step explanation:

If this is a parallelogram., this means that the opposite angles are congruent. Thus, the erasure of angle E is equal to the measure of angle G.

So, 10x-21=4x+27, meaning x=8.

Therefore, the measure of angle E is 10(8)-21=59 degrees

Answer:

Triangle JLK congruent to Triangle RTS is the only true statement

Step-by-step explanation:

AngleJKL is not corresponding to AngleRTS because AngleRTS is a right angle and AngleJKL is not.

The triangles are congruent by HL because one leg and the hypotenuse are congruent.

Triangle congruence can be determined so the third statement is incorrect.

TR is not congruent to KJ. TR=3.7 and KJ=4.5

Answer:

$2,400

Step-by-step explanation:

First we need to find whatever that 5% is.

[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]

Which gives us $100.

Now, we multiply the $100 by 4.

Which is $400.

Now, we add that to the $2,000.

Which gives us $2,400.

Sorry for the late reply but hope this helps

Answer:

the correct answer is shown below

Step-by-step explanation:

hope this helps

Answer:

5

Step-by-step explanation:

Answer:

(-2,-3)

Step-by-step explanation:

Put the equations over each other.

[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]

Subtract the x values.

[tex] \binom{ - y = 1}{3y = - 7} [/tex]

Subtract on both sides.

[tex]2y = - 6[/tex]

Divide on both sides.

[tex]y = - 3[/tex]

Insert the y value into one of the equations.

[tex]x - ( - 3) = 1[/tex]

Get rid of the parenthesis.

[tex]x + 3 = 1[/tex]

Subtract on both sides.

[tex]x = - 2[/tex]

You could also individually plug in each solution into both equations to see if they are true.

Answer:

I may be wrong but I think the missing side is 7.

Step-by-step explanation:

because 40 minus 8 is 32 so I did 15 minus 8 and got 7

Answer:

The answer would be A.

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.

Given:

b is within 0 -> 1 b is positive

c is within -1 -> -2, c is negative

[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative

so +b/-c = negative result

Answer:

1.49 Grams

Step-by-step explanation:

Answer:

9 gms.

Step-by-step explanation:

mass will be same.

weight will be different.

Answer:

172 cm

Step-by-step explanation:

The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.  

Answer:

80 degrees

Step-by-step explanation:

This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.

And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)

6 red face cards

->in favour:

6/52

= 3/26

-> against:

52-6= 46

46/52

=23/26