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kari74 [83]
3 years ago
15

The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and heigh

t of the prism.
Mathematics
1 answer:
tester [92]3 years ago
4 0
The volume of the rectangular prism:
V=length\cdot width\cdot height=lwh

60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2
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50 points!!
Anika [276]

Step-by-step explanation:

The average speed is distance over time.

34 mi / 0.5 hr = 68 mph

Therefore, the driver must have been speeding at some point between the two toll booths.

4 0
3 years ago
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elena-s [515]
The brainliest answer you are looking for is 48cm2
8 0
3 years ago
Find the area of the triangle belowunits given are cm, cm^2, cm^3
zloy xaker [14]

Answer:

A_T=150cm^2

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

A_T=\frac{1}{2}(b\times h)

Therefore in the information given we have the following:

\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}

Therefore the Area of this triangle is as follows:

\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}

Note! Units are centimeter-squared

4 0
1 year ago
Hfuuf help me plsssss​
denpristay [2]

Answer:

a) 26

b) 26/3

Step-by-step explanation:

a)

1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3

2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)

3) Lastly, 78/3 can be simplified as 26

b)

1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3

2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)

3) You get 130/15, which can be simplified as 26/3

4 0
3 years ago
If lines ab and cd are parallel, which of the following statements are true?
LiRa [457]
The correct answers are:
(D) a<span>b ll cd 
(F) a</span><span>b and cd are coplanar

Explanation:
The symbol for parallel is " </span>ll ". Therefore, if we translate the given sentence, <span>ab and cd are parallel, into the Mathematical terms, we can write it as:
</span>
ab ll cd (Option D)

Where ab = line
cd = line

Furthermore, the lines ab and cd are coplanar because they form the plane. In other words, you can say that the lines ab and cd lie on the same plane. (Option F)

Hence the correct answers are:
(D) ab ll cd 
(F) ab and cd are coplanar
8 0
4 years ago
Read 2 more answers
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