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Masja [62]
3 years ago
7

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify using order of

operations. Show all of your work and do ONE operation at a time to receive all possible points. 16 ÷ 4 ⋅ 2
Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

8

Step-by-step explanation:

1. 16 / 4 * 2

2. 4 * 2

3. 8

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The measure of an angle is 29.3°. What is the measure of a complementary angle?
crimeas [40]
The answer is 60.7 because 90-29.3=60.7

7 0
3 years ago
Find the area of the shaded region.
lbvjy [14]

Answer:

48\pi\\\approx 150.796

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

A=(\pi)(r^2)

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. (\pi) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

A_l-A_s\\=64\pi - 16\pi\\=48\pi

\approx150.796

5 0
2 years ago
After Ken Dial had his "‘aha’ moment" (line 41), he
galina1969 [7]

The correct option is c. how the birds dealt with gradually steeper inclines.

After Ken Dial had his "‘aha’ moment" (line 41), he observed how the birds dealt with gradually steeper inclines.

<h3>Who was Ken Dial?</h3>

In 1988, Dr. Dial was appointed as a biology professor at the of Montana. Dial was the creator and deputy director of the University of Montana Flight Laboratory, as well as the director of the University of Montana Field Research Facility at Fort Missoula.

Some key features regarding Ken Dial are-

  • He taught graduate courses in East African evolutionary biology for three decades.
  • Ken, a pilot with over 35 years of experience, is certified to fly numerous types of jet aircraft but loves backcountry flying onto remote airfields as in Montana-Idaho wilderness.
  • Ken created and presented 26 episodes of "All Bird TV" on the Animal Planet channel of the Discovery Channel.
  • Dial is still a frequent keynote speaker at scientific & aeronautical conferences across the world.
  • He just left his full-time position as a professor at the University of Montana to devote more time to wildlife & land conservation initiatives in Tanzania, Kenya, southern California, and western Montana.

To know more about land conservation, here

brainly.com/question/9384173

#SPJ4

7 0
2 years ago
stion 1 OT 5A researcher recorded the number of swans and the number of ducks in a lake every month. Function s represents the n
Anon25 [30]

Given functions are

s(n)=2(1.1)^n+5_{}d(n)=4(1.08)^n+3

The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).

t(n)=s(n)+d(n)

t(n)=(2(1.1)^n^{}+5)+(4(1.08)^n+3)

t(n)=2(1.1)^n+5+4(1.08)^n+3

t(n)=2(1.1)^n+4(1.08)^n+5+3

t(n)=2(1.1)^n+4(1.08)^n+8

Taking 2 as common, we get

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

Hence The total number of ducks and swans in the lake after n months is

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

8 0
1 year ago
Hello, this is math and I need help ❤️ pls and ty ONLY SERIOUS ANSWERS
Greeley [361]

The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.

<u><em>How to solve:</em></u>

  • First use the formula: C = 3.14d
  • Replace the d value with 30 and solve the equation:

C = 3.14 x 30    ⇒   94.2477796077

  • Then solve the equation again but 21 as the d value:

C = 3.14 x 21     ⇒   65.9734457254

  • Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8

3 0
3 years ago
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