What is the area of the rhombus shown below?
O
C
O A. 127.5 square units
O B. 255 square units
BI = 15
O C. 16 square units
A
11.2
O D. 190.4 square units

Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer:

-2

-1

Step-by-step explanation:

The y-intercept is the point on the y-axis intersected by the graph.

y-intercept is -2

The x-intercept is the point on the x-axis intersected by the graph.

x-intercept is -1

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -1

(-1,0)

The y intercept is where it crosses the y axis

It crosses at y = -2

(0,-2)

Answer:

16:24 is the answer

Hope it helps:)

Step-by-step explanation:

The initial number of cards were

1x:1x

(Equal red cards and black cards)

So, total of 48 and..

24 red cards

24 black cards

Now, since 8 red cards are removed we have,

24-8= 16 red cards

and 24 black cards

So the ratio of red to black is--

16:24

= 2:3 ( i divided both with 8 to simplify )

Pack 48                          48/2 =24

Red= 24                      24/24 : 24 / 24

Black = 24                            1:1

----------------------------------------------------------------

Pack 48                        48/2 = 24    

Red= 16                     24 / 16 : 24 / 24

Black= 24                    1,5 : 1

There's 1,5 black cards for each red card

235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

[tex]SA=\pi r^2+\pi rl[/tex]

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.

Answer:

D) [tex]Y = 1.03(2.93^x)[/tex]

Step-by-step explanation:

To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.

x: 1 2 3 4 5 6

y: 3 8 27 85 240 570

A. Y = 2.93([tex]1.03^x[/tex])

Substituting x = 1 to get

Y = 2.93(1.03) ≅ 3

Substituting x = 2 to get

Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1

Option A is wrong

B. Y = 38.73x² – 168.58x + 158.1

Substituting x = 1 to get:

Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25

Therefore option B is wrong

C. Y = [tex]102.54^x - 203.4[/tex]

Substituting x = 1 to get:

Y = 102.54 – 203.4 = -100.86

D) [tex]Y = 1.03(2.93^x)[/tex]

Substituting x = 1 to get:

[tex]Y = 1.03(2.93^1)=3[/tex]

Substituting x = 2 to get:

[tex]Y = 1.03(2.93^2)=8.84[/tex]

Substituting x = 3 to get:

[tex]Y = 1.03(2.93^3)=25.9[/tex]

Option D is the closest, it is the correct option

Answer:

YES

Step-by-step explanation:

YESSSSSSSSSSSSSSSSS IS THE ANSWER i think :))

Answer:yes they are all correct

Step-by-step explanation:

Put in a calculator 2^0=1

And 2^1=2

Remember the exponents tell you how many times you multiply the base number to itself

Hope that helps

Answer:

Barlow School has the greater number of boys by  178.

Answer:

Barlow school by 178

Step-by-step explanation:

→ First let's work out the number of boys at Barlow school

[tex]\frac{4}{9}[/tex]  of  [tex]873[/tex]  [tex]=[/tex]  [tex](873/9)*4[/tex]  [tex]=[/tex]  [tex]388[/tex]

→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that  [tex]\frac{2}{3}[/tex]  of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex]  of  [tex]630[/tex]  [tex]=[/tex]   [tex](630/3)*1[/tex]  [tex]=[/tex] 210

→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178

Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

Answer:

Total volume = (145/3)π in³

Step-by-step explanation:

First find the volume of the entire cylinder.  The correct formula to use here is:

V = πr²h, where r is the radius and h is the height.  Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is

V = π(2.5 in)²(8 in) = 50π in³

Next find the volume of the conical shape:  V = (1/3)π(2.5 in)²(0.8 in)

The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:

π(2.5 in)²(8 in) = 50π in³  LESS  (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:

Total volume =

50 π in³ -  (1/3)π(2.5 in)²(0.8 in), or

(2.5 in)²π[8 in - 0.8/3 in] =  π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or

Total volume = (145/3)π in³

Answer:

It's B

explanation

Answer:

x=1/4

Step-by-step explanation:

1.distribute the 7 and 3 into parentheses

2. combine like terms

3. add 9 on both sides

4. divide both sides by 4

x=1/4

hope this helped!

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

7(x-3)+3(4-x)= -8

Expand 7(x-3) and 3(4-x)

i.e. 7x-21+12-3x= -8

4x-9=-8

Collect like terms

4x= -8+9

4x= 1

x = [tex]\frac{1}{4}[/tex]

Hope this helps!!!

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

5 dollars

Step-by-step explanation:

If the price is 90 % off, we will pay 100 - 90 or 10 %

Take the original price times 10 %

50 * 10 %

50 * .10

5

Answer:

x = 28

y = 32

Step-by-step explanation:

3

4

(x−12)=12

(

3

4

)(x)+(

3

4

)(−12)=12(Distribute)

3

4

x+−9=12

3

4

x−9=12

Step 2: Add 9 to both sides.

3

4

x−9+9=12+9

3

4

x=21

Step 3: Multiply both sides by 4/3.

(

4

3

)*(

3

4

x)=(

4

3

)*(21)

x=28

Answer:

x=28

3

4

y−12+12=12+12

3

4

y=24

Step 2: Multiply both sides by 4/3.

(

4

3

)*(

3

4

y)=(

4

3

)*(24)

y=32

Answer:

x = 28

y = 32

Step-by-step explanation:

Equation 1:

First, we will distribute the 3/4 to everything in the parentheses like this:

[tex]\frac{3x}{4} - \frac{36}{4} = 12[/tex]

We can simplify the 36/4 down like this:

[tex]\frac{3x}{4} - 9 = 12[/tex]

We can add the 9 to the other side:

[tex]\frac{3x}{4} = 21[/tex]

Then multiply the 4 to the other side

[tex]3x = 84[/tex]

Finally, we can divide by 3

[tex]x = 28[/tex]

Equation 2:

We can add 12 to the other side:

[tex]\frac{3y}{4} = 24[/tex]

Then multiply 24 by the 4

[tex]3y = 96[/tex]

Then divide by 3

[tex]y = 32[/tex]

Answer:

3. 2x + y = 21.

Step-by-step explanation:

3. The diagonals of a rhombus  are perpendicular and bisect each other.

So the slope of line AC  = -1/m

= -1 / 1/2 = -2.

AC has coordinates (5, 11) so using the point-slope form of a line:

y - 11 = -2(x - 5)

y = -2x + 10 + 11

2x + y = 21.

5.   Line L:

x + 2y = 12

2y = -x + 12

y = -1/2x + 6

The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.

Answer:

3, 4, 81

Step-by-step explanation:

plz thank

The value of a is 3, value of b is 4 and value of c is 81.

To understand more, check below explanation.

The exponential identity is,

                       [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]

We have to solve,  [tex]\frac{3^{8} }{3^{4} }[/tex]

              [tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]

Hence, the value of a is 3, value of b is 4 and value of c is 81.

Learn more about the exponential expression here:

https://brainly.com/question/8844911

Answer:

9b-8

Step-by-step explanation:

6b+5b-2b-8

11b-2b-8

9b-8

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

'I' represents the length of the acceptable length for the board in feet.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ5

Answer:

54 is the answer

Step-by-step explanation:

5+(8x5)+72/8

5+40+9

54

Answer:

(0,-2)(-2,-8)

Step-by-step explanation:

Answer:

(0,-2) (-2,-8)

Hope this helps

[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

x = 2, y = - 4

Step-by-step explanation

5x-y=14

x+3y= - 10

x = - 10 - 3y

5(- 10 - 3y) - y = 14

- 50 - 15y - y = 14

-16y = 64

y = - 4

x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2

x = 2

Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6

Answer:

the second one

Step-by-step explanation:

correct me if it is wrong