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3 years ago

???????? ?????? ?????

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Answer:

so 23.5+24.3+33.8=81.6

Step-by-step explanation:

81.6

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A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 her

Evgen [1.6K]

We know that
Inverse Variation is a relationship between two variables in which the product is a constant
so

let
x------> a pitch of a musical instrument
y------> the wavelength
x*y=k

find the value of k
for x=220 hertz y=3 ft
x*y=k
220*3=k
k=660

for x=165 hertz y=4 ft
x*y=k
165*4=660
k=660

the answer part a) is
the type of variation between pitch and wavelength is an inverse variation

part b) What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz

the answer Part b) is
132 hertz

3 0

4 years ago

A group of 8 children go on a field trip. Mrs. Smith is the mother of 3 of these children. School officials later announce that

Crank

Answer:

a. 0.107

b. 0.535

c. 0.642

d. 0.4

e. 0.25

f. 0.063

Step-by-step explanation:

Please see attachment

5 0

4 years ago

Read 2 more answers

I need help with these math problems the subject is Liberal Arts

TiliK225 [7]

The answers to the questions

8 0

4 years ago

6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboa

Aliun [14]

Given the dartboard of diameter $20in$ , divided into 20 congruent sectors,

The central angle is $18^\circ$

The fraction of a circle taken up by one sector is $\frac{1}{20}$

The area of one sector is $15.7in^2$ to the nearest tenth

The area of a circle is given by the formula

$A=\pi r^2$

A sector of a circle is a fraction of a circle. The fraction is given by $\frac{\theta}{360^\circ}$ . Where $\theta$ is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

$A_s=\dfrac{\theta}{360^\circ}\times \pi r^2$

<h3>Given information</h3>

We given a circle (the dartboard) with diameter of $20in$ , divided into 20 equal(or, congruent) sectors

<h3>Part I: Finding the central angle</h3>

To find the central angle, divide $360^\circ$ by the number of sectors. Let $\alpha$ denote the central angle, then

$\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ$

<h3>Part II: Find the fraction of the circle that one sector takes</h3>

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by $360^\circ$ . The angle has already been computed in Part I (the central angle, $\alpha$ ). The fraction is

$f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}$