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2 years ago

What is the quotient of 13divide 8

Mathematics

2 answers:

Ahat [919]2 years ago

7 0

Answer:

Step-by-step explanation:

mr clean

Mars2501 [29]2 years ago

7 0

Answer:

One with a remainder of five.

Step-by-step explanation:

Eight goes into thirteen one time with five remaining

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Solve x in 2|x+ 6| + 9 = 19

xenn [34]

Answer: x=-1

Step by step:

2|x+6|+9=19

Subtract 9 from both sides.

2|x+6|=10

Divide both sides by 2

|x+6|=5

Use the definition of absolute value.

x+6=5

Subtract 6 on both sides

x=-1

Hope this helped! :)

5 0

2 years ago

Read 2 more answers

Pls show full working out

sweet-ann [11.9K]

Answer:

Question 1a. i) $x=1.8m$

Question 1a. ii) $Volume=27.6m^3$

Question 1b) $Volume=65.9m^3$

Explanation:

Question 1 a. i) Find the value of x.

$tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}$

For the smalll triangle you can write:

$tan(\theta )=\dfrac{x}{1m}$

For tthe big triangle:

$tan(\theta )=\dfrac{x+2.7m}{2.5m}$

Substitute:

$\dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}$

Solve for x:

$2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m$

Question 1a ii) Find the volume of the frustrum

Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

$Volume=(1/3)\pi \times radius^2\times height$

Substitute:

$Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3$

Find the volume of a cone with heigth = 1.8m and radius = 1m

$Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3$

Subtract the volume of the small cone from the volume of the big cone

$Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3$

Question 1b. Calculate the volume of the bin

i) Upper frustrum

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

ii) Lower frustrum

$\dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}$

$2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m$

$Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)$

$Volume=38.3m^3$

iii) Add the volume of the two frustrums

$Volume=27.6m^3+38.3m^3=65.9m^3$

6 0

3 years ago

Devin has 6 teaspoons of salt the ratio of teaspoons to tablespoons is 3:1.how many tablespoons of salt does Devin have

Dmitrij [34]

Answer:

6 : 3 = 2 tablespoons

because 3 teaspoons = 1 tablespoon

so 6 teaspoons = 2 tablespoons

4 0

3 years ago

One-fourth of a number and 6 is the same as 3 subtracted from the number itself

ratelena [41]

Answer:

I'm not the greatest at math but I'll see if I can get this right.

I'm super sorry if this is wrong

5 0

3 years ago

Convert 7/8 into a decimal

omeli [17]

Answer:

0.875

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers