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DerKrebs [107]
2 years ago
11

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

Mathematics
1 answer:
marishachu [46]2 years ago
5 0

Answer:

Density = 1.094g/cm^3

Step-by-step explanation:

Given

Length = 17.7cm

Width = 8.3cm

Height = 13.0cm

Mass = 2090g

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

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64,98*63.98

Step-by-step explanation:

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Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
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3 years ago
Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now?
Ann [662]

Answer:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

Solution fixed: m=17

Micaela is 17 years old now.

Step-by-step explanation:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

To fix the error, you can set up these equations based on the information given:

m=s+2  

(m+4)+(s+4)=40  

Solve for "s" from the first equation:

s=m-2

Substitute this equation into the second equation:

(m+4)+((m-2)+4)=40  

Now you need to solve for "m":

m+4+(m-2+4)=40\\m+4+m+2=40\\m+m=40-4-2\\2m=34\\m=\frac{34}{2}\\\\m=17

Micaela is 17 years old now.

4 0
3 years ago
Read 2 more answers
A defunct website listed the​ "average" annual income for Florida as​ $35,031. What is the role of the term average in​ statisti
rodikova [14]

Answer:

Step-by-step explanation:

Average is the sum of the items in a data divided by the number of items in the data. The role of average is to determine a representative value for the given set of data. What average refers to in statistics is the arithmetic mean. There are other types of mean as well. Therefore, what we are referring to in this scenario is the arithmetic mean. Therefore, another term should not be used in place of​ average. Therefore, the correct option is

C. The term average is often used in statistics to represent the mean.

5 0
3 years ago
In parallelogram QRST QS RT Is QRST a rectangle ?
fomenos

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.

According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.

Let QRST be an parallelogram and QS=RT.

In triangles QRT and RQS.

RT=QS         (Diagonals)

QR=QR         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.

By CPCT,

\angle R=\angle Q

Since the sum of two consecutive angles of a parallelogram is 180 degree.

\angle R+\angle Q=180

2\angle R=180

\angle R=90

Therefore the measure of angle R and angle Q are 90 degree.

Similarly in triangle QST and RTS,

RT=QS         (Diagonals)

ST=ST         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QST and RTS are congruent.

By CPCT,

\angle S=\angle T

Since the sum of two consecutive angles of a parallelogram is 180 degree.

Therefore the measure of angle S and angle T are 90 degree.

Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST  is a rectangle.

6 0
3 years ago
Read 2 more answers
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