What is the overlap of Data Set 1 and Data Set 2?


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Answer:

[tex] \frac{1 }{3} \times \pi \times {4}^{2} \times 10 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {4}^{3} = 6 \times \pi \times {4}^{2} = 301.44[/tex]

Answer:

w = 11

Step-by-step explanation:

In photo

Answer:

55 degrees is the measure of the unknown angle

Answer:

1/2 * 5 * 5

4

1/3, 7

79 in³

Step-by-step explanation:

The area of the base : base is shaped like a triangle ;

Area of triangle = 1/2 base * height :

Base and height = 5

Area of base = 1/2 * 5 * 5 = 12.5 in²

Volume of triangular prism = Area of base * height

Volume of triangular prism = 12.5 * 4 = 50 in³

For the triangular pyramid :

Area of base * height of pyramid *1/3

12.5 * 7 * (1/3) = 29.17

The volume of the paperweight :

Volume of triangular pyramid + volume of triangular prism

29.17 + 50

79.17 = 79 in³

Answer:

(7, 0) and (3,0)

Step-by-step explanation:

On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!

Answer:

-7 and -3

Step-by-step explanation:

Hello!

The roots of a parabola are the points at which the graph intersects the x-axis. The x-axis is located at y = 0.

As you can see, the graph's vertex is below the x-axis and opens upwards. This means the graph has 2 roots.

The points of intersection are:

The roots of the parabola are -7 and -3.

Answer:

Step-by-step explanation:

From B on the ground straight up to A and then turn the corner to follow the dotted line...that is a 90 degree angle. So in order to find the angle of depression, subtract 66 from 90 to get 24 degrees. Subsequently, that is also the angle of elevation (the base angle inside the triangle) due to parallel lines and whatnot.

Answer:

x=4

Step-by-step explanation:

since its a square, the diagonals cut the right angle in half, so 45

6x - 21 = 45

6x = 24

x=4

Answer:

[tex]A = 74.7^\circ[/tex]

[tex]B = 42.5^\circ[/tex]

[tex]C = 62.8^\circ[/tex]

Step-by-step explanation:

Given

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

Required

The measure of each angle

First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]

[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]

[tex]d = \sqrt{45[/tex]

So:

[tex]AB = \sqrt{45[/tex]

For BC

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]

[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]

[tex]BC = \sqrt{53[/tex]

For AC

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]

[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]

[tex]AC = \sqrt{26[/tex]

So, we have:

[tex]AB = \sqrt{45[/tex]

[tex]BC = \sqrt{53[/tex]

[tex]AC = \sqrt{26[/tex]

By representation

[tex]AB \to c[/tex]

[tex]BC \to a[/tex]

[tex]AC \to b[/tex]

So, we have:

[tex]a = \sqrt{53[/tex]

[tex]b = \sqrt{26[/tex]

[tex]c = \sqrt{45[/tex]

By cosine laws, the angles are calculated using:

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]

[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]

[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]

[tex]53 = 26 +45 - 68.42 * \cos A[/tex]

Collect like terms

[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]

[tex]-18 = - 68.42 * \cos A[/tex]

Solve for [tex]\cos A[/tex]

[tex]\cos A =\frac{-18}{-68.42}[/tex]

[tex]\cos A =0.2631[/tex]

Take arc cos of both sides

[tex]A =\cos^{-1}(0.2631)[/tex]

[tex]A = 74.7^\circ[/tex]

[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]

[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]

[tex]26 = 53 +45 -97.67 * \cos B[/tex]

Collect like terms

[tex]26 - 53 -45= -97.67 * \cos B[/tex]

[tex]-72= -97.67 * \cos B[/tex]

Solve for [tex]\cos B[/tex]

[tex]\cos B = \frac{-72}{-97.67}[/tex]

[tex]\cos B = 0.7372[/tex]

Take arc cos of both sides

[tex]B = \cos^{-1}(0.7372)[/tex]

[tex]B = 42.5^\circ[/tex]

For the third angle, we use:

[tex]A + B + C = 180[/tex] --- angles in a triangle

Make C the subject

[tex]C = 180 - A -B[/tex]

[tex]C = 180 - 74.7 -42.5[/tex]

[tex]C = 62.8^\circ[/tex]

Answer:

x is greater than 3

Step-by-step explanation:

Answer:

2x + 5 < 5x - 4

5 + 4 < 5x -2x

9 < 3x

3 < x

Answer:

WHAT!? THEY BOTH GOT BANNED?! HOW

Answer: 9/24km

Step-by-step explanation:

Since we are informed that Ana can bike 9 kilometers in 24 minutes.

To calculate the distance that Ana can bike in 1 minute will be gotten by dividing the distance covered divided by the time taken. This will be:

= 9/24 km

Therefore, Anna can bike 9/24km in 1 minute.

Step-by-step explanation:

the height of the triangle = √(5×15)= √75

=5√3 units

the base of triangle= 20 units

so, the area = ½×20×5√3= 50√3 units

or 86.60 units

Answer:

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Step-by-step explanation:

Let a and b be any integer, given the expression;

[tex]a^b[/tex]

a is the base

b is the exponent

Similarly if we have;

[tex]a^3[/tex]

This means we can multiply a in three places as shown;

[tex]a^3 = a \times a \times a[/tex]

Applying this to the given expression

[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]

The base value will be 3/5 and the exponent is 3

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

[tex](ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\[/tex]

Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either [tex]+2ab \text{ or } -2ab[/tex] .  So what are a  and b?  a is the square root of the x^2 term and b is the square root of the y^2 term.

[tex]25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30[/tex]

The middle coefficient needs to be either +30 or -30.  The answer is choice A.

Answer:

Yes!

Step-by-step explanation:

Answer:

I'm pretty sure it is cuz I have see many functions like that in algebra. yea it is a function, it's a linear function. y=mx+b

Answer:

127°

Step-by-step explanation:

171+62+127=360

Answer:

x=127°

Step-by-step explanation:

x+171° +62=360°

x=360°-(171°+62°)

x=127°

Answer:

2.625 gallons per minute

Step-by-step explanation:

8.4/3.2=2.625

Answer:

Step-by-step explanation:

You already have the area for your triangle. Substract that from the entire area of the rectangle.

To get the area of the rectangle, multiply the length by the height.

15*20 = 300

Now substract your triangle from that :)

Answer:

Step-by-step explanation:

3) JH is the length of the radius

def. of midpoint

def. of < bisector

4) The missing length is 15

Given a=8 and c=17,

b = 30

∠α = 28.072° = 28°4'21" = 0.48996 rad

∠β = 61.928° = 61°55'39" = 1.08084 rad

area = 60

perimeter = 40

h =  

120

17

= 7.0588235294118

Answer:

meow

Step-by-step explanation:

Answer:

10 ft

Step-by-step explanation:

This is the Pythagorean theorem. a²+b²=c².

8²=64

6²=36

Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)

Answer:

2.5 or 2 and 1/2

Step-by-step explanation:

30/12 = 2.5

There are two wholes that fit in 30 with a remainder of half of a whole.

2.5 translates to 2 and 1/2

Answer:

Hello! answer: 2½

Step-by-step explanation:

Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!

Answer:

the first term will be n=1 and the second term is n=2

Step-by-step explanation:

Hope this is Helpful! :)

Have a nice day!

Answer:

d

Step-by-step explanation:

Answer:

its right

Step-by-step explanation:

Answer:

25 square inches

Step-by-step explanation:

just divide your base by 2 and then multiply it by the height

Answer:

a. 4

b. 132

Step-by-step explanation:

Plugg in the equation in desmos graphing calculator and the find the vertex to find the answer.

(Are you doing this in pearson?)

Answer:

Parallelogram

Step-by-step explanation:

Answer:

Here.

Step-by-step explanation:

Step-by-step explanation:

BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

Step-by-step explanation:

BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem: