All categories

3 years ago

Boyd’s dartboard is octagonal. Each side measures 9 in. He drew a copy of the board that was smaller by a scale factor 0.25.

1 answer:

5 0

<span>The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.</span>

You might be interested in

Adult men have heights that a normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Adult wome

Aliun [14]

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean $\mu$ = 69.5

Standard deviation $\sigma$ = 2.4

observed value X = 74

For Adult Women

Mean $\mu$ = 63.8

Standard deviation $\sigma$ = 2.6

observed value X = 70

Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{74- 69.5}{2.4}$

$z = \dfrac{4.5}{2.4}$

z = 1.875

For Adult Women :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{70- 63.8}{2.6}$

$z = \dfrac{6.2}{2.6}$

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

5 0

3 years ago

What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?

mestny [16]

The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4

8 0

3 years ago

Need help with some inverse trigonometric expressions, rounded to the nearest degree.

rjkz [21]

A Google or Bing search box can be your friend, if you don't have a calculator with inverse trig functions. Most calculators that have trig functions also have the inverse functions, usually after a 2nd or "shift" key. Often, there is a mode setting for degrees or radians.

arcsin(0.33) ≈ 19°
arccos(0.47) ≈ 62°
arctan(1.21) ≈ 50°
arcsin(0.82) ≈ 55°

6 0

3 years ago

Drag each pair of numbers to show if their greatest common factor (GCF) is less than 2, equal to 2, equal to 3, or greater than

TEA [102]

Answer:

GCF < 2 : 2 and 7, 12 and 13

GCF = 2 : 2 and 6

GCF = 3 : 3 and 6

GCF > 3 : 4 and 12, 6 and 18

Step-by-step explanation:

The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.

(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.

(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.

(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.

(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.

(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.

8 0

3 years ago

Please help with this one question thanks so much in advance yall :-)

Rus_ich [418]

Is the question asking f(g(x))? If so the answer is 4x+20

6 0

3 years ago