6 in
4 in
4 in.
What is the surface area of the right square pyramid?

Answer:

Step-by-step explanation:

[tex]\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}[/tex]

Multiply the equation by 4

[tex]4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\[/tex]

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

[tex]\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\[/tex]

Multiply the equation by 6

[tex]6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\[/tex]

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           -15x  + 70y = 40     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

Answer:

The area is 84. The missing side is 7.

Step-by-step explanation:

Okay so perimeter = length+length+width+width right? If 12 is the length, then 12+12=24, which is the length part of perimeter. 38-24=14 and 14/2=7. The missing side is 7 because 12+12+7+7=38 and the area is 84 because 12x7=84. Good luck!

Answer: There are 70 outcomes.

Step-by-step explanation:

The number of combinations for n things if r thing s have been chosen ( repetition is allowed) = [tex]C(n+r-1, n-1)[/tex]

Here , n= 5 , r= 4

The possible outcomes = [tex]C(5+4-1, 5-1)= C(8,4)[/tex]

As [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, The possible outcomes = [tex]\dfrac{8!}{4!(8-4)!}[/tex]

[tex]=\dfrac{8\times7\times6\times5\times4!}{4\times3\times2\times1\times4!}\\\\=70[/tex]

Hence, there are 70 outcomes.

Answer:

who wins four tosses first is the winner.

possible cases-7 tosses, 6 tosses, 5 tosses, 4 tosses

We get cases of Win of Head first-4 tosses

All 4 must be Head

Number of ways = 1

5 tosses-5th must be Head  

there are 3 Head   out of 4  in  ⁴C₃ = 4 Ways

6 tosses-6th must be Head  

there are 3 Head  out of 5  in  ⁵C₃ = 10 Ways

7 tosses-7th must be Head  

there are 3 Head   out of 6  in  ⁶C₃ = 20 Ways

Cases of Head wins = 1+ 4 + 10 + 20  = 35

similarly cases when  Tails Wins = 35

Total Possible cases = 35 + 35 = 70

70 is total number of possible ways in which the bet can play out.

Step-by-step explanation:

I hope that this helps u out..

Answer:

4590 it is 4590

Step-by-step explanation:

Step-by-step explanation:

5 for $2.25 means 1 for $0.45

So, we have

1: 0.45

2: 0.9

3: 1.35

4: 1.8

10: 22.5

15: 33.75

20: 45

100: 225

n = 0.45c

Answer:

70% probability that the bead is RED or GREEN

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

2 + 12 = 14 red or green beads out of 2 + 6 + 12 = 20 beads

14/20 = 0.7 = 70%

70% probability that the bead is RED or GREEN

Answer:

B. h(x) = 4x² - 4x + 11

Step-by-step explanation:

Given:

f(x) = 5x² - 2x + 1

g(x) = x² + 2x - 10

Required:

h(x) = f(x) - g(x)

Solution:

h(x) = (5x² - 2x + 1) - (x² + 2x - 10)

= 5x² - 2x + 1 - x² - 2x + 10 (distributive property)

Collect like terms

= 5x² - x² - 2x - 2x + 1 + 10

h(x) = 4x² - 4x + 11

Answer:

1. is 38 and 69 degrees i think

2. is 90 degrees bc it is a 90 degree angle and 90 + 90 = 180 which all interior angles equal.

Answer:

we are going to be an equal number of adenine and thymine include the following at the

Answer:

Options (2) and (3)

Step-by-step explanation:

Slope of line segment is given by the formula,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, the line given in the graph has the Rise as negative (Since, segment is slanting down) and Run as positive.

Therefore, slope of the segment is negative which describes that the function is decreasing in the interval 2.

Options (2) and (3) will be the correct options.

Answer:

8 to 9

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

To find an area of a circle its with the formula...

A = π [tex]r^{2}[/tex]

But since the diameter is given, and not the radius we need to divide the diameter by 2 (since half the diameter gives you the radius)

And the only one there that divides the diameter with the correct formula is the last one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

[tex]LM = 10units[/tex]

Step-by-step explanation:

[tex]L( - 5,4),M(3, - 2)[/tex]

[tex]L( - 5,4),M(3, - 2) \\ L( { x }_{ 1 } , { y }_{ 1 } ),M( { x }_{ 2 } , { y }_{ 2 } )[/tex]

[tex]LM = \sqrt{ {( { x }_{ 2 } - { x }_{ 1 } )}^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } [/tex]

[tex]LM = \sqrt{ {(3 - - 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(3 + 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(7)}^{2} + {( - 6)}^{2} } [/tex]

[tex]LM = \sqrt{64+ 36} [/tex]

[tex]LM = \sqrt{100} [/tex]

[tex]LM = 10units[/tex]

Answer:

3m -7

Step-by-step explanation:

7m - 10 - 4m + 3, now if you change the spots.....

7m - 4m - 10 + 3 which can be simplified to 3m -7.

Hope this helps :D

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-(-2 + 9)  Equation/Question

Step 2

-(-2 + 9)  Simplify

-(-2 + 9)

Step 3

-(-2 + 9)  Solve by adding

-(7)

=-7

Answer

-7

Answer:

1.67 + 4

4.5-1.47

Step-by-step explanation:

1.67 + 4 = 5.67

4.5 - 1.47 = 3.03

Answer:

Step-by-step explanation:

the smaller triangle x=112

the larger triangle x=62

Answer:

1.) 5/12

2.) 0.375

3.) 1/4

4.) 10/21

Answer:

b

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

b being more than one tells u its not negitive

b being less than one tells u its negitive

a being negitive means... its negitive lol

that tells u its more than 0

i think that means its 1/2

means its positive

means its negitive

means its positive

means its negitive

Answer:

def inch_to_feet (x):

return 1/x

Step-by-step explanation:

Implementating the program Using python 3 :

def - - - > function declaration keyword

inch_to_feet - - > function name

x - - > argument which the function takes

The value returned is a conversion of x which is in inches to feets

1/12 feet = 1 inch

To see the value returned ;

We can run the code :

def inch_to_feet(x):

return (1/12)*x

b = inch_to_feet(12)

print(b)

The code above will print 1.

Answer:

6 times.

Explanation:

Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.

if you put a picture of the equation here, then i will be able to help you! :)

Answer:

X=24

Step-by-step explanation:

X/12 + 6 = 8

we can multiply the equation to 12 to make it simple. We get:

X + 72 = 96

So X = 96-72=24