All categories

2 years ago

7/9 - 2/8 × 4/9 A.5/9 B.48/72 C.20.9 D.2/3

Mathematics

1 answer:

zysi [14]2 years ago

8 0

Answer:

2/3

Step-by-step explanation:

7/9 - 2/8 x 4/9

Reduce the fraction.

7/9 - 1/4 x 4/9

Reduce the numbers:

7/9 - 1/9

Subtract the fractions.:

6/9 > 2/3

You might be interested in

Please help me, Identify each pair of angles named below as adjacent angles or vertical angles.

jarptica [38.1K]

Adjacent angles:

-ADB and BDC

-BDC and CDE

-CDE and EDF

-FDG and GDA

-GDA and ADB

Vertical angles:

-GDA and CDE

-FDE and ADB

-GDF and BDC

Hope this helps! :)

5 0

3 years ago

HELP PLEASE <br> solve the right triangle

aleksandrvk [35]

Answer:

Part 1) $FG=4.4\ units$

Part 2) $EF=3.9\ units$

Part 3) $m\angle G=63^o$

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

$sin(27^o)=\frac{GE}{FG}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(27^o)=\frac{2}{FG}$

$FG=\frac{2}{sin(27^o)}=4.4\ units$

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

$cos(27^o)=\frac{EF}{FG}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(27^o)=\frac{EF}{4.4}$

$EF=cos(27^o)(4.4)=3.9\ units$

step 3

Find the measure of angle G

we know that

$m\angle G+27^o=90^o$ ---> by complementary angles in a right triangle

$m\angle G=90^o-27^o=63^o$

7 0

3 years ago

Dont do QA <br> plzzzzzzzzzzzzzzzzzzzzzzzz

N76 [4]

Answer:

$(a) x^2-2x=x \times (x+2) \\\\(b) 6x^2+12x=2\times 3 \times x \times ( x + 2) \\\\(c) 3x^3 - 9x=3\times x \times (x^2 -3) \\\\(d) 4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)$

Step-by-step explanation:

To factorize, at first, do factorize all the terms then take the common terms out.

(a) $x^2-2x$

This can be written as

$x^2-2x= x\times x + 2 \times x$

Now, taking x commom from both the terms.

$x^2-2x=x \times (x+2)$

(b) $6x^2+12x$

$=2\times 3 \times x\times x + 2\times 2 \times 3 \times x$

Now, taking $2\times 3\times x$ common from both the terms, we have

$6x^2+12x=2\times 3 \times x \times ( x + 2)$

This is the required factorization.

$= 3 \times x \times x \times - 9\times x \\\\ 3x^3 - 9x=3\times x \times (x^2 -3)$

This is the required factorization.

(d) $4x^2 +28 x^3$

$= 2 \times 2 \times x \times x + 2 \times 2 \times 7 \times x \times x \times x \\\\4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)$

This is the required factorization.

7 0

3 years ago

UPPER AND LOWER BOUNDARIES

const2013 [10]

Answer:

The minimum of a - b is 41.325

Step-by-step explanation:

Let us solve the question using upper and lower boundaries

∵ a = 49.0 rounded to 1 decimal place

∵ 1 decimal place means 0.1

→ Divide 0.1 by 2

∵ 0.1 ÷ 2 = 0.05

→ Add 0.05 to the rounded number to get the upper boundary

∵ 49.0 + 0.05 = 49.05

∴ The upper boundary = 49.05

→ Subtract 0.05 from the rounded number to get the lower boundary

∵ 49.0 - 0.05 = 48.95

∴ The lower boundary = 48.95

∴ The range of a is 48.95 ≤ a < 49.05

∵ b = 7.62 rounded to 2 decimal places

∵ 2 decimal place means 0.10

→ Divide 0.01 by 2

∵ 0.01 ÷ 2 = 0.005

→ Add 0.005 to the rounded number to get the upper boundary

∵ 7.62 + 0.005 = 7.625

∴ The upper boundary = 7.625

→ Subtract 0.005 from the rounded number to get the lower boundary

∵ 7.62 - 0.005 = 7.615

∴ The lower boundary = 7.615

∴ The range of b is 7.615 ≤ b < 7.625

To find the minimum value of a - b, use the smallest value of a and the greatest value of b

∵ The minimum of a - b = lower boundary of a - upper boundary of b

∴ The minimum of a - b = 48.95 - 7.625

∴ The minimum of a - b = 41.325

∴ The minimum of a - b is 41.325

5 0

2 years ago

PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best appro

solong [7]

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

3 0

3 years ago

Read 2 more answers