Marcus is rolling a number cube with sides labeled 1 to 6 A: The probability that the number cube will show 10 is______ B:It is ___ that the number cube will show 10.

a= 9

b= 13

➠ 2(9+13)

➠ 2 × 22

Ans ➠ 44mm

Answer:

8568 ft³

Step-by-step explanation:

14 x 612 = 8568 ft³

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-Chetan K

Answer:

1.3 < x < 6.7

Step-by-step explanation:

minimum

4.0 - 2.7 = 1.3

maximum

4.0 + 2.7 = 6.7

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

1.3 < x < 6.7

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer: integer +4Y, Integer +5.4X

Answer:

1. Positive

2. Negative

3. Negative

4. Positive

Step-by-step explanation:

The perimeter of the triangle is 70.82 inches.

Given as :

The length of the altitude is 30 inches, and

The length of the base is 10 inches

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let, perpendicular = 30 and base = 5

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Substitute the values,

30² + 5² =  hypotenuse²

900 + 25 =  hypotenuse² or

hypotenuse² = 925

hypotenuse = √925

hypotenuse = 30.41

The perimeter of the triangle can be determined as:

Perimeter of the triangle = l₁ + l₂ + l₃

Perimeter of the triangle = 30.41+ 10 + 30.41

Perimeter of the triangle = 70.82

Hence, the perimeter of the triangle is 70.82 inches.

Learn more about right triangle here:

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Answer:

there is no pictures  on my screen...

Step-by-step explanation:

Answer:

5 127/200 meters

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

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

4 5/10 = 4.5 | 8/10 = 0.8

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

4.8 divided by 0.8 = 5.625

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

5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

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

5 + 127/200 = 5 127/200

The unit rate in meters per year is 8/45 meter/year.

Given that, a tree in John's backyard has been growing for [tex]4\frac{1}{2} = \frac{9}{2}[/tex] years. The tree is 4/5 meters tall.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = 4/5 ÷ 9/2

= 4/5 × 2/9

= 8/45 meter per year

Therefore, the unit rate in meters per year is 8/45 meter/year.

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Answer:

196.9

Step-by-step explanation:

Answer:

The area is 452.39

The Circumference is 75.36

Step-by-step explanation:

Answer:

(9,3)

Step-by-step explanation:

Answer:

Thus, the ratio of the central angles is 4 : 9.

Step-by-step explanation:

Area, A = 12 π square units

radius, R = 6 units

radius, r = 4 units

Area of sector is given by

[tex]A=\frac{\theta }{360}\times \pi r^{2}[/tex]

For first sector

[tex]12\pi=\frac{\theta }{360}\times \pi \times 6^{2}\\\\\theta = 120^{o}[/tex]

For second sector

[tex]12\pi=\frac{\theta' }{360}\times \pi \times 4^{2}\\\\\theta' = 270^{o}[/tex]

So, the ratio is

[tex]\frac{\theta}{\theta'}=\frac{120}{270} =4 : 9[/tex]

Answer:

4 : 9

Step-by-step explanation:

Given:

Two sectors, each has an area of 12pi, but with radii r1=6 and r2=4 units.

Find ratio of central angles.

Solution:

Let A = central angle

Area of a sector = pi r^2 (A/360)

Since both sectors have the same area,

pi r1^2 (A1/360) = pi r2^2 (A2/360)

simplifying

A1 r1^2 = A2 r2^2

Therefore

A1 : A2  = r2^2 : r1^2 = 4^2 : 6^2 = 4 : 9

Answer:

Hi there! the answer should be: Katie can draw 182 pictures in 312 minutes

Step-by-step explanation:

312 ÷ 24 = 13

14 x 13 = 182

hope this helped qwq

Answer:

Amy

Explanation:

Because add all of the numbers and divide by 7.

The measure of center I would use for Amy is 6 because it is higher than half of the numbers and lower than half of the numbers.What I would use for Chelsea is 7 because of the same reason.

Answer:

A

Step-by-step explanation

180-(114+47)=19

Answer:

I think the rate of change or slope would be 6 or 6/1

And the equation y=6x

Step-by-step explanation:

Answer:

y=6x

Step-by-step explanation:

divide each y value by the x value and ye

Answer:

A) (-2,-2)

B) (2,-3)

C) (5,4)

D) (5,9)

E) (-10,6)

F) (-3,2)

G) (9,5)

H) (-2,4)

I) (-10,-10)

J) (6,-10)

K) (0,9)

L) (-1,-8)

M) (3,2)

O) (-7,-10)

P) (-6,5)

Step-by-step explanation:

Hope this helps :)

Answer:

3, 4

Step-by-step explanation:

No, this is not a random sample.

Answer:

50 degrees

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The entire angle is 80 as shown.

The value of the missing angle can be found by using the following

F=80-30

F=50

Answer:

yes

Step-by-step explanation:

Answer:

9 1/4

Step-by-step explanation:

12 3/8 - 3 1/4= 9 1/4

Answer:

10.5 cm

Step-by-step explanation:

12÷9= 1.3 (1dp)

14÷(12÷9)= 10.5cm

Answer:

y = 10.5 cm

x = 80 degree

Step-by-step explanation:

Our approach is find measures first and y is our missing measure.

To find y

PQRS : ABCD   is in ratio the same as CD : RS

We need to work out CD : RS to find measures of  AD : SP

To find ratio we look at side measures first

CD : RS  = 12 : 9

12/9 = 1.333333

So that AD : SP   = 14 : ?

14 / 1.333333 = 10.50000

AD : SP =  14 : 10.5

y = 10.5 cm

To find x

We are given opposite angles and know with quadrilaterals they both share same opposite diagonal length ratios and share same opposite angles.

Where two angles are always in pairs given 100 degree can be multiplied by 2 and use the equation.

360 - (100 x 2) / 2  =  (360 - 200) / 2 = 160/2 = 80 degree

x = 80 degree

Answer:

Each selection has 8 seats, of which 56 are blue. there are 22 blue seats and 32 red seats in the theater

Step-by-step explanation: