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3 years ago

What solid 3D object is produced by rotating the semicircle about line m,

Mathematics

2 answers:

GalinKa [24]3 years ago

4 0

Answer:

Step-by-step explanation: act like you are cutting a pizza slice and you will get your answer!

Sophie [7]3 years ago

3 0

A) a sphere with a radius of 2 unit

B) a sphere with a diameter

Step-by-step explanation:

if the given circle gives you the radius, the answer is a, if it gives you the diameter, the answer is b

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Find the number of possible outcomes from choosing a number from 11 to 20 and a letter of the alphabet.

DaniilM [7]

The answer is 286 thank you

3 0

3 years ago

Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from

Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

$\frac{TD}{sin(P)}=\frac{TP}{sin(D)}$

substitute the given values

$\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}$

$TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd$

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0

3 years ago

The length of a rectangle is 6 cm and its area is (6x+18) Square centimeters what is an expression for the width

Ludmilka [50]

Answer:

x+3

Step-by-step explanation:

(6x+18)/6

Simplify

x+3

7 0

3 years ago

As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement

aksik [14]

The development fee p can be modeled by the equation p=-400q+9600 where p is the price the company charges and q is the number of contracts they get. The total revenue R ISeeYou obtains by signing q contracts is found by using the function: $R(q)=-400q^{2}+9600q$ . The cost ISeeYou Productions can be found by using the following function: C(q)=800q+16000. The monthlhy profit of Express ISeeYou Productions if found with the next function: $P(q)=-400p^{2}+8800q-16000$ . ISeeYou should sign 2 or 20 contracts to break even.

a) In order to solve part a of the problem, we will suppose the price will have a linear relation with the amount of contracts they signed, so we need to find two points to build this function.

We know that when signing 6 contracts, the company charges $7,200, so our first point will be:

(6, 7200)

we also know that the company signs 14 contracts when they charge $4,000. So our second point is:

(14, 4000)

so we can use these points to find the slope of the line by using the

slope formula:

$m=\frac{p_{2}-p_{1}}{q_{2}-q_{1}}$

$m=\frac{4000-7200}{14-6}$

so the slope is:

m=-400

We can now use one of those points and the slope to find the function for the price, so we get:

$y-y_{1}=m(x-x_{1})$

$p-p_{1}=m(q-q_{1})$

if we used the point: (6, 7200) we get:

$p-7200=-400(q-6)$

which can now be simplified:

p=-400q+2400+7200

so the price function is:

p=-400q+9600

b) In order to find the revenue equation we need to multiply the price equation by the amount of contracts they signed in a month, so we get:

R(q)=pq

$R(q)=(-400q+9600)q$

$R(q)=-400q^{2}+9600q$

c) The cost can be found by adding the fixed cost and the variable cost, so we get:

C(q)=800q+16000

d) The profit is found by subtracting the montly cost from the monthly revenue, so we get:

P(q)=R(q)-C(q)

$P(q)=-400q^{2}+9600q-(800q+16000)$

so we can now simplify our function to get:

$P(q)=-400q^{2}+9600q-800q-16000$

$P(q)=-400q^{2}+8800q-16000$

e) In order to find the number of contracts for the company to break even, we need to find the q contracts that will give a profit of $0 so we set the function of the previous part of the problem equal to zero so we get:

$P(q)=-400q^{2}+8800q-16000$

$-400q^{2}+8800q-16000=0$