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2 years ago

The radius of the circular lens of a magnifying glass is 4 centimeters.

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

5 0

Answer: 50.24 square centimeters.

Step-by-step explanation:

Given: The radius of the circular lens of a magnifying glass = 4 centimeters

The area of a circle is given by :-

$\text{Area}=\pi r^2$ , where r is the radius of the circle.

Then the area of the circular lens of a magnifying glass is given by :-

$\text{Area}=\pi (4)^2=(3.14)(16)=50.24\text{ square centimeters }$

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.

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When it was 70 degrees outside, 50 members showed up at a beach club. For each degree the temperature rose, another 10 members c

strojnjashka [21]

The function f(t), that represents the number of members at the beach club as a function of the temperature is f(t) = 10t + 50

Solution:

Given that, When it was 70 degrees outside, 50 members showed up at a beach club.

For each degree the temperature rose, another 10 members came to the beach club.

We have to write the function, f(t), that represents the number of members at the beach club as a function of the temperature.

Now, according to the given information,

Initially 50 members and then, members keep on adding by rise in temperature,

So, 50 + t x 10 [ t represents change in temperature, and 10 is number of people who joins club ]

Then, f(t) = 10t + 50.

Hence, the function is f(t) = 10t + 50

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2 years ago

A 6-meter pole is supported by guy wires that are anchored to the ground as shown. What is sin D?

kap26 [50]

Answer:

0.8941

Step-by-step explanation:

sin D = opp / hyp = 6 m / 6.71 m = 0.8941

8 0

2 years ago

Read 2 more answers

How many intersections are there of the graphs of the equations below?

kipiarov [429]

Answer:

The number of intersections = ∞

Step-by-step explanation:

Given the system of equations:

0.5 x + 5y = 6

3x + 30y = 36

By multiplying the first equation by 6

∴ 6 (0.5 x + 5y) = 6 * 6

∴ 3x + 30y = 36

So, Those equations are "Dependent", because they are really the same equation, just multiplied the first equation by 6.

So, the two equations are identical

Therefore: They have infinity number of solutions.

See the attached figure.

0.5 x + 5y = 6 ⇒ in black color

3x + 30y = 36 ⇒ in red color

6 0

2 years ago

The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

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2 years ago

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. W

Phoenix [80]

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7 0

2 years ago