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Makovka662 [10]
3 years ago
15

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whol

e number or fraction in simplest form.

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

SF = 3

Step-by-step explanation:

To find the scale factor, take the value of one side length from the scaled copy and divide it by the value of the corresponding side length of the original.

39/13 = 3

Therefore, the scale factor is 3.

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During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the
mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

T = 0.005x^2 + 0.45x + 125

Suppose T = 141°F,

\implies 141 = 0.005x^2 + 0.45x + 125

\implies 0.005x^2 + 0.45x + 125 - 141 =0

\implies 0.005x^2 + 0.45x - 16=0

Since, a quadratic equation ax^2 + bx + c =0 has,

Real roots,

If Discriminant, D = b^2 - 4ac \geq 0

Imaginary roots,

If D < 0,

Since, 0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0
3 years ago
44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)
Murljashka [212]

Answer:

cgal to the store with me for the wounds on the number and the kids to today because I'm so 4

5 0
3 years ago
Whata the unit rate for 10 pages in 5/6 hours , 5/8 mile in 5 minutes &amp; 1/3 gallons in 1/6 hour
Yuki888 [10]
1. 12 pages
2. 1/8 miles in 1 minute
3. 2 gallons an hour

Hope these are the correct answers! :)
8 0
3 years ago
A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width
dimaraw [331]

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

4 0
2 years ago
Alex purchased a seven-year $600 bond at par value with a 5% coupon. What is the total value of the coupons?
anyanavicka [17]

Answer

300 dollars

because u do 600x.5

4 0
3 years ago
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