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3 years ago

What is the radius and diameter of the following circle?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

Diameter = 7cm

Radius = 3.5cm

Step-by-step explanation:

The diameter is the distance across the circle; shown as 7cm.

The radius is half the distance of the diameter, or half the distance across the circle.

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Solve the equation. Please show working :D :) 1/2y-21/4=-35/4 for y

Ganezh [65]

Let's solve your equation step-by-step.1/2y−21/4=−35/4Step 1: Simplify both sides of the equation.12y+−21/4=−35/4Step 2: Add 21/4 to both sides.1/2y+−21/4+21/4=−35/4+21/41/2y=−7/2Step 3: Multiply both sides by 2.2*(1/2y)=2*(−7/2)y=−7Answer:y=−7

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3 years ago

Classify the area of a circle with a radius of 0.75 centimeter seems as either rational or irrational

Mazyrski [523]

Irrational as 0.75 x 0.75 x 3.14......

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3 years ago

In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s

viva [34]

Answer:

$Concentration = 8.26kg/m^3$

Step-by-step explanation:

Given

$V = 440000L$ --- volume of tank

$m = 10,000 kg$ --- solid mass

$r = 40000L/hr$ --- outflow rate

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

$Amount = r * Time$

$Amount = 40000L/hr * 4hr$

$Amount = 40000L * 4$

$Amount = 160000L$

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

$Ratio = \frac{Amount}{Volume}$

$Ratio = \frac{160000L}{440000L}$

$Ratio = \frac{16}{44}$

$Ratio = \frac{4}{11}$

Next, calculate the amount of solid left.

$Amount (Solid)= Ratio * m$

$Amount (Solid)= \frac{4}{11} * 10000kg$

$Amount (Solid)= \frac{40000}{11}kg$

$Amount (Solid)= 3636kg$

Lastly, the concentration is calculated as:

$Concentration = \frac{Amount (Solid)}{Volume}$

$Concentration = \frac{3636kg}{440000L}$

Convert L to cubic meters

$Concentration = \frac{3636kg}{440000* 0.001m^3}$

$Concentration = \frac{3636kg}{440m^3}$

$Concentration = 8.26kg/m^3$

3 0

3 years ago

The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos avail

Leto [7]

There are 7 sides available.

The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)

This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:
15(6)(S) = 560
80S = 560

Divide both sides by 80:
80S = 560/80
S = 7

6 0

3 years ago

What is the reading on each of the scales??

kipiarov [429]

First number is length on map and second is the length in reality. Both are in kilometers.

5 0

3 years ago