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viktelen [127]
3 years ago
14

What is the circumference of a circle whose area is 100

pi " alt=" \pi " align="absmiddle" class="latex-formula">?
A) 10 B) 20 C) 10\pi D) 20\piE) 25\pi
Mathematics
1 answer:
STatiana [176]3 years ago
5 0
S=100\pi\\\\ \pi r^2=100\pi \ |:\pi\\\\ r^2=100 \\\\ r=\sqrt{100} \ , \ r > 0\\\\ r=10\\\\ C=2\pi r=2\pi \cdot 10=20\pi
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The Happy-Go-Lucky Beach was 163 feet long from parking lot to high tide. After last year's hurricane came ashore, the beach onl
ANTONII [103]

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

4 0
3 years ago
Bella wants to know how tall the oak tree in her back yard is, so she picks
melamori03 [73]

Answer:

B = 62.9ft

Step-by-step explanation:

The distance where she is from the oak tree is 75ft,

The angle of elevation the stone makes with the top of the oak tree is 40°

The height of the tree is x ft

See attached document for better illustration

Using SOHCAHTOA,

Tanθ = opposite/ adjacent

θ = 40°

Opposite = x ft

Adjacent = 75ft

Tan40 = x / 75

X = 75 × tan40

X = 75 × 0.8390

X = 62.92ft

The height of the oak tree is 62.9ft

5 0
3 years ago
Condense and simplify, if possible: 2 In 3 + 3 ln x – 2 In y
elixir [45]

Answer:

Step-by-step explanation:

4 0
3 years ago
2. In how many ways can five people line up at a bank teller's window?
OLga [1]
<span>5 x 4 x 3 x 2 x 1 = 120

The first person can move 5 positions since he is first. The second person can move 4 positions since one is already occupied, and so on...</span><span />
5 0
3 years ago
Read 2 more answers
Select the correct answer from the drop-down menu. In a right triangle, ∠θ = 43° and the side opposite to ∠θ is 6.5 centimeters
anygoal [31]

Answer:

Approximately 7 cm

Step-by-step explanation:

Angle opposite to the required length:

180 - 90 - 43 = 47°

X/sin47 = 6.5/sin43

X = sin47 × 6.5/sin43

X = 6.970396615

3 0
3 years ago
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