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You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

Answer:

Im guessing this i might be wrong

54 ounces

3 ounces

Step-by-step explanation:

Answer:

To be honest i think 54 ounces and 3 ounces

Step-by-step explanation:

i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz

Answer:

10 sqrt(3) + 2 sqrt(5)

Step-by-step explanation:

2√75+ √20

We know sqrt(a*b) = sqrt(a) sqrt(b)

2 sqrt(25*3) + sqrt(4*5)

2 sqrt(25)sqrt(3) + sqrt(4) sqrt(5)

2 * 5sqrt(3) + 2 sqrt(5)

10 sqrt(3) + 2 sqrt(5)

Answer:

the first one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

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Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is:

Answer: 1/8

Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8

Give me brainly pls trust me 100% correct I’ve learned this already

Answer:

1/8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Answer:

c

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Answer:

ASA

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Hope this is helpful!

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: https://brainly.com/question/27980306

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Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

Answer:

40

Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

Answer: D

Step-by-step explanation:

2,4

Answer:Yes

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6500= 200+ 350x

x=18

Answer:

id say eighteen

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

11,000 gallons

Step-by-step explanation:

Jeffs water bill = 28.50

Charge for water used = 28.50 - 12 = 16.50

Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Answer:

[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

Step-by-step explanation:

Given the information:

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

We choose C.

Hope it will find you well.

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

Answer:

C

Step-by-step explanation:

Let's say Abudal's score = x.

We can do,

3x + x + x + 5 = 45

5x = 45

x = 8.

That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.