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3 years ago

Write a fraction that is less than 5/6 but has a denomator of 8

Mathematics

2 answers:

grigory [225]3 years ago

3 0

1/8 i think it is good bye

Lera25 [3.4K]3 years ago

3 0

You can go to 6/8 before you go over 5/6.

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The line parallel to x-3y=-12 that passes through (-3,4)

gulaghasi [49]

X-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5

4 0

4 years ago

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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime

Vladimir79 [104]

Answer:

B. The area of the base of the pyramid, B, is 24 centimeters squared.

C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.

Step-by-step explanation:

Given a rectangular pyramid with:

Height=9 cm

Base Dimensions = 4 centimeters by 6 centimeters

Base Area B=4 X 6 =24 Square cm.

Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.

Volume of a pyramid = $\frac{1}{3} $ X Base Area X Height$

$=\frac{1}{3} X 24X9=72 cm^3$

Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters

=Base Area X Height

=24 X 9

$=216 cm^3$

Now, 216/72=3

Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid

Therefore, <u>Option C is correct.</u>

5 0

3 years ago

Read 2 more answers

Choose the correct rule to describe the transition of ▵ to ▵’’’

wariber [46]

Answer:

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3) ⇒ b

Step-by-step explanation:

Let us revise the rule of translation of a point

The image of the point (x, y) after translation h units to the right and k units up is (x + h, y + k)

The image of the point (x, y) after translation h units to the right and k units down is (x + h, y - k)

The image of the point (x, y) after translation h units to the left and k units up is (x - h, y + k)

The image of the point (x, y) after translation h units to the left and k units down is (x - h, y - k)

Let us solve the question

∵ Point A = (-3, 0)

∵ Point A' = (1, 3)

→ Subtract the x-coordinate of A from the x-coordinate of A' to find h

∵ h = 1 - - 3 = 1 + 3 = 4

→ h is a positive value, then the translation is to the right

∴ Point A translated 4 units to the right

→ Subtract the y-coordinate of A from the y-coordinate of A' to find k

∵ k = 3 - 0 = 3

→ K is a positive value, then the translation is up

∴ Point A translated 3 units up

∴ The rule of translation is (x, y) → (x + 4, y + 3)

Let us find B' and C' using the rule of translation

∵ B = (-3, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-3 + 4, -2 + 3)

∴ B' = (1, 1) ⇒ same as the figure

∵ C = (-1, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-1 + 4, -2 + 3)

∴ B' = (3, 1) ⇒ same as the figure

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3)

3 0

3 years ago

What is the 1000th digit to the right of the decimal point when $\frac{4}{15}$ is expressed as a decimal?

babymother [125]

Answer:

Step-by-step explanation:

Aops Question

8 0

3 years ago

A string of decorative lights is 28 feet long the first light on the string is 16 inches from the plug if the lights on the stri

taurus [48]

24 lights will be on the string

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3 years ago