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Arlecino [84]
3 years ago
11

2.a)Find the prime factorizations of 90 and 168.

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
90|2\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\90=2\cdot3\cdot3\cdot5\\\\168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7

100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\100=2\cdot2\cdot5\cdot5\\\\126|2\\.\ 63|3\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\126=2\cdot3\cdot3\cdot7
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A middle school campus is shaped like a rectangle with a width of 1/4 mile and a length of 1/2 mile. A map of the campus has a w
igomit [66]

Answer:

A) 1:4

Step-by-step explanation:

#We first calculate the campus' area:

a=lw\\\\=\frac{1}{4}\times \frac{1}{2}\\=0.125 \ mi^2

#We then calculate the campus' map area in square ft:

A=lw\\\\=0.5 \times 1\\\\=0.5 ft^2

Ratio is a comparison between two dimensions:

Ratio=\frac{0.125}{0.5}\\\\=0.25\\\\=\frac{1}{4}\\\\=1:4

Hence, the ratio of the area in square miles of the campus to the area in square feet of the map is 1:4

3 0
3 years ago
What is the basic unit for length in the si unit
klio [65]

Answer: i think its metre

8 0
3 years ago
HELPP 10 POINTS Here's a graph of a linear function. Write the equation that describes that function.
erastova [34]

m = (y2-y1)/(x2-x1)

m = (6-4)/(4-0)

m = 2/4

y = mx + c

6 = (2/4)(4) + c

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Thus, the equation is y = (2/4)x +4

3 0
3 years ago
Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
lianna [129]

Answer:

A

Step-by-step explanation:

10-6 X 10-1 = 10-7

5.7*46.2=263.34

263.34=2.6334 x 10^2

10^2 x 10^-7 = 10^-5

so

=2.6334 x 10-5

7 0
3 years ago
What are the solutions to the quadratic equation 5x2 + 60x = 0?
Reptile [31]

Answer:

It's A.

Step-by-step explanation:

5x2 + 60x = 0

5x is the GCF so:

5x(x + 12 ) = 0

5x = 0, x + 12 = 0

x =0, x = -12.

6 0
3 years ago
Read 2 more answers
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