Question 16 (Essay Worth 7 points)

Verify the identity.

tan (x + π/2) = -cot x

I believe that is 12

Very sorry if I am wrong

Answer:

A

Step-by-step explanation:

The largest angle will be the angle that is opposite to longest side.

Longest side is AB = 18 cm. So, opposite angle of side AB is ∠C

Sides from largest to smallest : AB   >   AC   > BC

angles form largest to smallest: ∠C  >  ∠B   >   ∠A

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]

→ Expand the brackets

[tex]\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0[/tex]

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]

⇒ Substitute in the values

[tex]\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0[/tex]

⇒ Simplify

[tex]\frac{1}{2} (1)-\frac{1}{6} (3) = 0[/tex]

⇒ Simplify further

[tex]\frac{1}{2} -\frac{1}{2} =0[/tex]

0 = 0

The solution x = 2 is correct

For A:

You add the probabilities to get the answer to A: = .75, or 3/4

Note that the probability of ALL THREE of them hitting would be 1/3 x 1/4 x 1/5.

For B:

2/3 and 3/4 is the probability of the other two people MISSING (the remainder of 1/3, 1/4)

1.0 = 100% chance to hit the target, so 1.0 x 2/3 x 3/4 = 1/2

Mark's chance of hitting is 1/5, so do 1/2 x 1/5, = 1/10

Answer:

y=-2x-2

Step-by-step explanation:

Slope: -4-2/1-(-2)=-6/3=-2

Equation: y=-2x+b

Substitute: 2=-2(-2)+b

2=4+b

b=-2

Therefore, y=-2x-2

I hope this helped and have a good rest of your day!

Answer:y =-2x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x  + 40 = 10

x = -30

She paid $30 on her credit card

Answer:

The equation of a circle:

[tex](x+2)^2+(y-3)^2 = 16[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2 = r^2[/tex]

(where the center is known as [tex](h,k)[/tex] and the radius, known as [tex]r[/tex]).

-Since you already have the center and the radius, use them for the equation of a circle:

Center: [tex](-2,3)[/tex]

Radius: [tex]4[/tex]

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

After you have the equation of a circle, simplify the radius by the exponent [tex]2[/tex] :

[tex](x+2)^2+(y-3)^2 = 16[/tex]

So, you have found the equation of a circle.

Answer:

C) 0, 2, 4, 5, 7

Step-by-step explanation:

The domain values are 0, 2, 4, 5, and 7.

In a graph where all the points are just dots, find the x coordinate of all the points. That will be your domain.

Answer:

[tex]\frac{79}{12}[/tex] or 6[tex]\frac{7}{12}[/tex] gallons of gas.

Step-by-step explanation:

First, you have to convert both of your mixed numbers into a improper fractions.

2 [tex]\frac{1}{4}[/tex] = 9/4

4 [tex]\frac{2}{6}[/tex]   = 26/6

Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.

Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM.  Multiply both the nominator and the denominator by that number.

4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.

Repeat that for the second fraction's denominator.

6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12.

Then add both fractions together.

[tex]\frac{27}{12}+\frac{52}{12}[/tex] [tex]=\frac{79}{12}[/tex]

If you need to, simplify.

[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]

Hope that helped!

Answer:

B. $177.50

Step-by-step explanation:

12.50 * 5 = 62.5

240 - 62.5 = 177.5

Answer:

B. $177.50

Step-by-step explanation:

12.50 * 5 = 62.5

240 - 62.5 = 177.5

Answer:

x = 10, -15

Step-by-step explanation:

We can start right away by dividing both sides of our equation by 5 to get the reduced form [tex]x^2-5x=25[/tex].

To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:

[tex](x-a)^2=x^2-2ax+a^2[/tex]

To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:

[tex]5x=2ax\\5/2=a\\25/4=a^2[/tex]

Let's add that a² to both sides and simplify!

[tex]x^2-5x+\frac{25}{4}=25+\frac{25}{4}\\\\(x-\frac{5}{2})^2=\frac{125}{4}\\\\x-\frac{5}{2}=\pm\sqrt{\frac{125}{4} } \\\\x=\pm\frac{25}{2}-\frac{5}{2}[/tex]

Now we're ready to solve for both value of x:

[tex]x=\frac{25}{2}-\frac{5}{2}=\frac{20}{2} =10\\\\x=-\frac{25}{2}- \frac{5}{2}=-\frac{30}{2} =-15[/tex]

So our solutions are x = 10 and x = -15

Answer:

x=5+5√5/2

Step-by-step explanation:

Answer:

3/10 of her time was spent on Vancouver

6 days in total

Right triangle, Pythagorean Theorem:

c² = a² + b²

a=8, b=9

c² = 8² + 9²  = 64 + 81 = 145

c = √145 inches

That's the exact answer but they want us to ruin it with an approximation.

c ≈ 12.041594578792296 inches

Answer: 12

Answer:

[tex]25n^{2}[/tex]

Step-by-step explanation:

Question author, it's spelled pi not pie, and we use just use the Greek letter π.  Students, demand better from your teachers.

1. Rectangular prism, aka a box. Volume is length times width times height.

V = 5×7×9 = 315 cubic feet

That's cubic feet of course, the product of three lengths.  We didn't even need to do the problem, just look for the common answer and pick the one with the right units.  I just saw that same pattern in a volume problem yesterday.

Answer: 315 cubic feet, first choice

2. Cylinder, volume is base area times height, πr²h.   We have a radius of r=14/2=7 yd and h=8 yd.  We're using π=3.14.

V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds

Answer: 1230.9 cubic yards, last choice

Answer:

after 272 mins

Step-by-step explanation:

make it into two linear equations y=.19x and y=29.95+.08x

Answer:

D

Step-by-step explanation:

Answer:

32cm

Step-by-step explanation:

2.5m:80cm

1m:n

n=80/2.5

n=32cm

Answer:

187 cm^2

Step-by-step explanation:

Area of a parallelogram is base times height. 17 cm is the base and 11 cm is the height so, 17 cm times 11 cm equals 187 cm^2.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

648 is the answer

Step-by-step explanation:

I do not know what bar graph it is but the 648 dollars came from mowing the lawn. hope it helps

Answer:

162+X=810

for the bar model 180 is the whole and one box would have 162 also the x

Step-by-step explanation:

810-162=648

Answer: it's b

Step-by-step explanation:

Answer:

≈ 7.07

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)

d = [tex]\sqrt{(-7-0)^2+(-2+1)^2}[/tex]

   = [tex]\sqrt{(-7)^2+(-1)^2}[/tex]

   = [tex]\sqrt{49+1}[/tex]

   = [tex]\sqrt{50}[/tex] ≈ 7.07 ( to the nearest hundredth )

Answer:

30 ft

Step-by-step explanation:

[tex]3 \frac{3}{4} = \frac{15}{4} \\15*2=30[/tex]

Answer:

30 feet

Step-by-step explanation:

If each 1/4 in is equal to 2 feet, then you can find out how many in per feet, by dividing 2 by 1/4, to get 8. You can then multiply 8 by 3 3/4 to get the amount of feet that the living room is if it measures 3 3/4 in on the floor plan.

Answer:

B

Step-by-step explanation:

because the line would be in a square intercept which would create what you want

Answer:

only (-4,0) is a reasonable solution.

Step-by-step explanation:

In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.

y = -x - 4

y = x² + x - 12

For (-4, 0):

0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)

0 = (-4)² - 4 - 12 -> 0 =  16 - 16 -> 0 = 0 (valid)

For (-3, -1):

-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)

-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)

For (2, -6):

2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)

2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)

Therefore only (-4,0) is a reasonable solution.

Answer:

x = -4.59, -7.41.

Step-by-step explanation:

x^2 + 12x + 34 = 0

(x + 6)^2 - 36 +34 = 0

(x + 6)^2 = 36 - 34 = 2

x + 6 = +/-√2

x =   +/-√2 - 6

x = -4.59, -7.41

Answer:x and y axis

Step-by-step explanation:

Answer: x and y axis

Answer:The answers are in the step by steps.

Step-by-step explanation:

A.   outcomes           GREEN           BLUE

    probabilities           0.72                0.28  

B.  0.72 *  75 =54   meaning Yosef will draw a green marble 54 times if he draws a total of 75 marbles.