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3 years ago

Pattern 2: How many squares?

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

Step-by-step explanation:

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For f(x) = 5x - 7, find f(-3).

dimaraw [331]

Answer:

-22

Step-by-step explanation:

f(x) = 5x -7

substitute x = -3 into the equation as follows:

f(-3) = 5( -3) -7

= -15-7

= -22

4 0

3 years ago

A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than aro

kobusy [5.1K]

Answer:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

$350\div 3$

$=116.67\ feet.$

r = 116.67 feet.

Now,

Thus, the outer radius is:

$116.67+3$

$=119.67\ feet.$

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

$Circumference\ of\ inner\ edge=2\times 3.14\times 116.67$

$=732.69\ feet.$

Circumference of outer edge = 2πR.

$Circumference\ of\ outer\ edge=2\times 3.14\times 119.67$

$Circumference\ of\ outer\ edge=751.53\ feet.$

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

Circumference of outer edge - circumference of inner edge.

$751.53-732.69$

$=18.84\ feet.$

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

4 0

3 years ago

What is the exterior angle?

olganol [36]

Answer:

angle YUT = 120

Step-by-step explanation:

in Triangle SUT

angle 70 + angle 50 + angle x = 180

70 + 50 + x = 180

120 + x = 180

x = 180 - 120

x = 60

angle SUT = 60

angle SUT + angle YUT = 180 ( straight line)

60 + x = 180

x = 120

Therefore angle YUT ( exterior angle ) = 120

7 0

4 years ago

30% discount at $300 purchase is

Molodets [167]

Answer:

Thus, a product that normally costs $300 with a 30 percent discount will cost you $210.00, and you saved $90.00. You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $300 as follows: $300 x .

Step-by-step explanation:

3 0

3 years ago

Help PLEASE!!!!!!!!!!!!!!!

melomori [17]

Answer:

1) The graph does represent a function, because it passes the vertical line test.

Step-by-step explanation:

The vertical line test goes over the graph making sure there aren't 2 points together on the same line vertically. Because this passes the vertical line test, meaning there are no points repeating up and down, it is a function.

6 0

3 years ago