Calculate the unit rate. Round to the nearest hundredth (cent).

There are nine balls. One is slightly lighter than the rest; the difference is small enough that you can't tell just by picking

icang [17]

You will need to weight those balls only twice. You weight 6 balls, 3 on one side of weight and 3 on another, and other 3 balls you have are in your hand.

Check picture bellow

8 0

2 years ago

Read 2 more answers

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

4 0

1 year ago

Identify the three similar right triangles in the given diagram.

irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0

2 years ago

Can someone please help☹️❤️

dalvyx [7]

Answer:

Slope = 2 y - intercept = ( 0 , -2 ) equation: y = 2x - 2

Step-by-step explanation:

We can begin solving by first understanding what slope is.

Slope is the rate of change in a line.

The formula for slope is:

(For any two points on a line)

m = y₁ - y₂ / x₁ - x₂

**m is the variable for slope

Two points on the line are: ( 6, 10 ) and ( 2, 2 )

Here is where we'll plug in the formula:

m = 10 - 2 / 6 - 2

m = 8 / 4

m = 2

Now that we have our slope, we only have to look at the graph to find the y-intercept.

The y-intercept is the point on the graph crosses the y-axis (this effectively means that the x value will always be 0)

When we look at the graph, we can see that the y-intercept is: ( 0, -2 )

All that's left is to right the equation in slope-intercept form.

The equation is arranged just as it says in the name:

y = mx + b

(m = slope b = y -intercept)

When we plug in our variables, the equation becomes:

y = 2x - 2

8 0

3 years ago

Has anybody done this problem before on Carnegie learning Mathia I’ve been stuck on this problem and I need to turn in this assi

Vinil7 [7]

Answer:

Conclusion: ◇WAU ≅ ◇JAU

Reason: ASA theorem

Step-by-step explanation:

6 0

2 years ago