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luda_lava [24]
3 years ago
8

A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your

answer to the nearest whole number.
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
4 0

c = circumference pi = 3.14 r = radius = 9 inches d = diameter c=pi*d The radius is half of the diameter, d = 2r. Then d = 2*9=18. plug into equation. c= pi*d = 3.14*18 round accordingly and you may want to include that the measurement you end up with is in inches.

leva [86]3 years ago
3 0
56.52 is your answer ....please mark me brainliest
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Write the trigonometric expression <br> Cos (arcsin (u))<br> As an algebraic expression in u
makvit [3.9K]
When we use arcsine, we are finding the angle while giving the trigonometric ratio.

Arcsin(u) = theta can be rewritten as:

sin(theta) = u

Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.

We can use Pythagorean Theorem to find the adjacent (x value).

1^2 - u^2 = x^2

x = sqrt(1-u^2)

Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).

Cosine is adjacent over hypotenuse.

So our answer is sqrt(1-u^2)/1

Or just sqrt(1-u^2)







5 0
3 years ago
Is a data set has 10 values, with a mean of 75, and a variance of 11, what is the standard deviation?
harina [27]
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3 0
3 years ago
What is the sum of 1/3 + 5 3/4 as a mixed number in simplest form
mart [117]

6 1/12 would be the answer

Rewriting our equation with parts separated

1/3+5+3/4

Solving the fraction parts

1/3+3/4=?

Find the LCD of 1/3 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

4/12+9/12=13/12

Simplifying the fraction part, 13/12,

13/12=11/12

Combining the whole and fraction parts

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3 0
3 years ago
What's the distance between the points (0,9) and (7,7)?
Alexeev081 [22]
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5 0
3 years ago
A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

The number of fringes at d=-2 is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

where d is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

⇒ 45\cdot 1.5^{-2}

Using negative exponent property. [a^{-x}=\frac{1}{a^x}

⇒ 45\cdot \frac{1}{1.5^2}

⇒ 45\cdot \frac{1}{2.25}

⇒ 20   (Answer)

Thus, the number of fringes at d=-2 is given as 20.

This means the number of fringes two decades ago was 20.

6 0
3 years ago
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