Find the lateral surface area of the triangular prism.
A)
420 cm?
B)
480 cm?
c)
540 cm
D)
620 cm

Answer:

a=-3

Step-by-step explanation:

First, subtract 6 from both sides

6=-2a

divide -2 from both sides

-3=a

Answer:

The answer is below

Step-by-step explanation:

When computing quartile and decile, the data must be arranged in ascending order.

Given the data points:

13 13 13 20 26 26 29 31 34 34 35 35 36 37 38  41 41 41 42 43 46 47 48 49 53 55 56 62 67 82

The numbers are arranged in ascending order. The total number of terms is 30.

a)

[tex]First \ quartile(Q_1)=\frac{1}{4}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\Q_1=\frac{1}{4}(30+1)=7.75^{th}\ term=average\ of\ 7th\ and\ 8th\ term=\frac{29+31}{2} =30\\\\Q_1=30\\\\Third \ quartile(Q_3)=\frac{3}{4}(n+1)^{th}\ term\\\\Q_3=\frac{3}{4}(30+1)=23.25^{th}\ term=average\ of\ 23rd\ and\ 24th\ term=\frac{48+49}{2} =48.5\\\\Q_3=48.5[/tex]

b)

[tex]Second \ decile(D_2)=\frac{2}{10}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\D_2=\frac{2}{10}(30+1)=6.2^{th}\ term=average\ of\ 6th\ and\ 7th\ term=\frac{26+29}{2} =27.5\\\\D_2=27.5\\\\\\Eight \ decile(D_8)=\frac{8}{10}(n+1)^{th}\ term=\frac{8}{10}(30+1)=24.8^{th}\ term\\=average\ of\ 24th\ and\ 25th\ term=\frac{49+53}{2} =51\\\\D_8=51[/tex]

Answer:

x^2 +4

Step-by-step explanation:

13.5-6.48=7.02

Step-by-step explanation:

You just pine them up and subtract. So the decimal points would be one under another. The 6 would be under the 3. Lastly the 4 would be under the 5 and the 8 would be beside the 4. Then you just subtract...or use a calculator

Answer:

136

Step-by-step explanation:

68 * 2 = 136

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

Answer:

135.42 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + PH

Where,

Triangular base area (BA) = ½bh = ½*4*3 = 6 yd²

Perimeter of triangular base (P) = 4 + 3.61 + 3.61 = 11.22 yd

Height of prism (H) = 11 yd

Surface area = 2(6) + 11.22 × 11

= 12 + 123.42

Surface area = 135.42 yd²

Answer:

the first circle.

Step-by-step explanation:

please mark brainliest of answers correct. have a nice day!

Answer:

A) -4,3

Step-by-step explanation:

Answer:

1944....

Step-by-step explanation:

Answer:

6 or 5

Step-by-step explanation:

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

Answer:

Reflection and Dilation

Step-by-step explanation:

These two make the most sense for this.

Hope it helps and is correct!

Answer:

[tex] \frac{105}{6} [/tex]

Step-by-step explanation:

[tex] \frac{21}{2} + \frac{21}{3} [/tex]

lowest common multiple of 2 and 3 is 6

21×3 = 63

21×2= 42

they are now going to have the same denominator of 6

[tex] \frac{63}{6} + \frac{42}{6} [/tex]

now u are just gonna add the neumerators and keep the denominator

[tex] \frac{105}{6} [/tex]

Answer:

Step-by-step explanation:

cant see pic

found this online, hope it helps !!

[tex]\frac{1}{2}[/tex] Or 2.

(Pretty sure it's the first option.)

Brainiest if correct? Ty!

Answer:

Hi, since their are 12 months in the year, you divide 60,000 (the annual salary), by the amount of months in the year to find the monthly salary. The answer is 5,000.

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

9514 1404 393

Answer:

  7x +8y = 32

Step-by-step explanation:

Clear fractions and add the opposite of the x-term.

  y = -7x/8 +4

  8y = -7x +32 . . . . . multiply by 8

  7x +8y = 32 . . . . . .add 7x

Answer:

To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.

Answer:

πr^2=area

r=√area/π

r=√7×area/22...../

Answer:

32 units²

Step-by-step explanation:

this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length

formula is: 1/2(height) x (sum of bases)

A = 1/2(4)(4 + 12)

A = 2(16)

A = 32

Answer:

21

Step-by-step explanation:

-13)+(-14)= -27

-27+6= -21

Answer:

x=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5 times

Step-by-step explanation:

5*0=5... 5*1=5... 5*2=10... 5*3=15... 5*4=20

Answer:

A

Step-by-step explanation:

because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line

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