Help picture below problem 13

Answer:

(x+5)(2x+7)

Step-by-step explanation:

x(2x+7) + 5(2x+7)

(x+5)(2x+7)

I hope this helps!!

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

1.

since it is a right-angled triangle, and one of the leg angles is 45°, then the other leg angle is also 45°.

which makes this an isoceles triangle.

so, the second leg is 6 too.

the baseline (Hypotenuse) is then per Pythagoras

baseline² = 6² + 6² = 36 + 36 = 72 or 2×36

baseline = sqrt(72) = 6×sqrt(2)

2.

this is then a 30-60-90 triangle.

the left leg (a) is then 2a/2 = 10/2 = 5.

and the bottom leg is 5×sqrt(3).

3.

isoceles triangle.

so, left and right legs (a) are both 3 (from the 3×sqrt(2)).

4.

30-60-90 triangle

upper leg is then 6×sqrt(3).

the baseline is 2 times the left leg : 2×6 = 12

5.

isoceles triangle

both legs are 2 (from the 2×sqrt(2)).

6.

30-60-90 triangle

left leg is 4 (from the 4×sqrt(3)).

the baseline is 2×4 = 8.

7.

isoceles triangle.

6 = a×sqrt(2)

a (both legs) = 6/sqrt(2)

8.

30-60-90 triangle

9 = a×sqrt(3)

a (left leg) = 9/sqrt(3)

baseline = 2a = 2×9/sqrt(3) = 18/sqrt(3)

9.

due to the equal leg angles this is an isoceles triangle.

4 = a×sqrt(2)

a (both legs) = 4/sqrt(2)

10.

30-60-90 triangle

the bottom leg (a) = 2a/2 = 6/2 = 3

the left leg is then 3×sqrt(3)

11.

isoceles triangle

left leg is also 5.

baseline is 5×sqrt(2)

12.

30-60-90 triangle

12 = a×sqrt(3)

a (left leg) = 12/sqrt(3)

the baseline is then 2a = 2×12/sqrt(3) = 24/sqrt(3)

Answer:

11 13 15

Step-by-step explanation:

n + n + 2 + n + 4 = 39

3n + 6 =39

3n = 33

n = 11

the three odd integers are 11 , 13 ,15

Answer:

66+20+x=180(sum of angle in a triangle)

x=180-(66+20)

x=180-86

x=94

Answer:

Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52

Step-by-step explanation:

Answer:

1750

Step-by-step explanation:

If you flip a coin, you should theoretically get heads 50% of the time and tails 50% of the time. So in this case you would get heads 1,750 times.

well, let me not bore you to death on how we test it and test it.

[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=5-sin(11\theta )\implies (-r)=5-sin[11(-\theta )]\implies -r=5-sin(-11\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=5-\stackrel{\downarrow }{[-sin(11\theta )]}}\implies\implies r=-5-sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=5-sin(11\theta )\implies r=5-sin[11(-\theta )]\implies r=5-sin(-11\theta ) \\\\\\ r=5-[-sin(11\theta )]\implies r=5+sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the pole}\qquad \qquad r=-r} \\\\\\ r=5-sin(11\theta )\implies -r=5-sin(11\theta )\implies r=-5+sin(11\theta )\qquad \textit{no dice}[/tex]

so the symmetry tests didn't pass, notice the picture below though, looks a bit deceiving, it looks as if it'd have π/2 symmery, but it doesn't show in the test.

Answer:

x= 6, -4

Step-by-step explanation:

x^2 - 2x - 24 = 0

(x-6) (x+4) = 0

x = 6, x= -4

Answer:

2,184

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

12

Step-by-step explanation:

60% of 30 is 18 (girls)

40% of 30 is 12  (boys)

Answer:

12 boys

Step-by-step explanation:

60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator.  this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.

you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.

Answer:

see explanation for detailed analysis

Answer:

Step-by-step explanation:

A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h

~~~~~~~~

[tex]b_{1}[/tex] = 15 in.

[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.

h = 18 in.

A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²

Answer:

Step-by-step explanation: 1.587401052

Answer:

8

Step-by-step explanation:

this means

[tex] \sqrt{ {4}^{3} } [/tex]

4³ = 4×4×4 = 64

the square root of 64 is 8.

Answer:

x = 8

Step-by-step explanation:

plug 10 into the other equation for y then solve...

5x = 4(10)

5x = 40

x = 8 [Answer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

x = 8

Step-by-step explanation:

Using the equation 5x = 4y, if y = 10, what is x?

5x = 4y

5x = 4(10) <== substitute 10 for y

5x = 40

/5     /5 <== divide both sides by 5

x = 8 <== value of x, our final answer

Hope this helps!

Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve

-4,-4 0,-3. 1,1

Using the Central Limit Theorem, it is found that the condition that applies to this test is:

C. The sample includes at least 30 employees from each department.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

From this, since we have a skewed variable, it is found that a sample size of at least 30 is needed, hence option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

Answer:

3

Step-by-step explanation:

Divide 12 by 4 since the ratio is 12 to every 4 inches

Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

When creating a histogram it is best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.

0 - 5        6 - 10   11 - 15   16 - 20   21 - 25

Now that we have set ranges for the different variables, we then find the frequencies.

0 - 5  : 3 

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Now that we have all the values we can then create our histogram.

Taken from https://brainly.com/question/12197869

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Step-by-step explanation:

you need to calculate all the sides that are given to get the other side

It seems like they have shown you how to calculate so give it a try

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

because area is pi r^2

Answer:

78.54 or 25π (if in terms of pi)

Step-by-step explanation:

A = πr² = π*5² ≈ 78.53982

Answer:

31

Step-by-step explanation:

First put your numbers in order

44 , 64 , 68 , 68 , 68 , 70 , 72 , 74  ,

Then subtract the Highest and Lowest numbers by each other

75 - 44 = 31

Answer:

150m^3

Step-by-step explanation:

The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.

The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.

For this problem, simply find the inverse of f(x).

If you are stuck, I could provide you with a solution below...

f(x) = 8x³ - 2

y = 8x³ - 2

y + 2 = 8x³

(y + 2)/8 = x³

cube root((y + 2)/8) = x

g(x) = cube root((x + 2)/8)

The value of function g(x) after solving will be ∛(x + 2) / 2.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of function,

f(x) = 8x³ − 2

And, f(g(x)) = x and g(f(x)) = x

Now,

Since, f(g(x)) = x

And, f(x) = 8x³ − 2

The substitute x = g (x) in above equation we get;

f (g(x)) = 8 (g(x))³ - 2

x = 8 (g(x))³ - 2

Add 2 both side;

x + 2 = 8 (g(x))³  

Divide by 8;

(x + 2)/8 = (g(x))³

Take cube root both side;

∛(x + 2)/8 = g(x)

g(x) = ∛(x + 2) / 2

So, The value of function g(x) after solving will be ∛(x + 2) / 2.

Learn more about the function visit:

https://brainly.com/question/24748644

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