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3 years ago

Given BD= 24 and PC= 13, find PB

Mathematics

1 answer:

ipn [44]3 years ago

8 0

PB = 12 (P=1, B=2) Numerical values are assigned to each letter and each letter takes on a single number.

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The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w

sukhopar [10]

Answer:

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Step-by-step explanation:

we have

$n(x)=\frac{3}{4}x$ -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to $m=\frac{3}{4}\frac{homeruns}{game}$

therefore

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Verify

the average rate of change is equal to

$\frac{n(b)-n(a)}{b-a}$

In this problem we have

$n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns$

$n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns$

$a=12\ games$

$b=60\ games$

Substitute

$\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}$

4 0

2 years ago

Coffee beans worth $ 10.50 $10.50 per pound are to be mixed with coffee beans worth $ 13.00 $13.00 per pound to make 50 50 pound

MAVERICK [17]

Answer: 30 pounds of coffee beans worth $10.50 per pound was used.

20 pounds of coffee beans worth $13.00 per pound was used.

Step-by-step explanation:

Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.

Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.

50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be

50 × 11.5 = 575

This means that

10.5x + 13y = 575 - - - - - - - 1

The total number of pounds of each type of coffee used is 50. This means that

x + y = 50

Substituting x = 50 - y into equation 1, it becomes.

10.5(50 - y) + 13y = 575

525 - 10.5y + 13y = 575

- 10.5y + 13y = 575 - 525

2.5y = 50

y = 50/2.5 = 20

x = 50 - 20= 30

6 0

3 years ago

one moving company charges $800 plus $16 per hour another moving company charges $720 plus $21 an hour at what number of hours w

Gekata [30.6K]

800 + 16x = 720 + 21x. Cancel out the 720 to get 80 + 16x = 21x. Subtract 16x from both sides to get 80 = 5x. Divide by 5 to get 16 = x, or x = 16. 16 hours. The charge is 800 + 16(16), = 720 + 21(16) which = 800 + 256 = 720 + 336 which = 1,056 = 1,056. Hope this helped!

6 0

3 years ago

Find the volume of the cone shown below.

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The formula for volume of cone is $V=\frac{1}{3}\pi r^2 h$

Where

V is the volume

r is the radius of the circular base

h is the height of the cone

In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):

$V=\frac{1}{3}\pi (9)^2(12)\\=324 \pi$

correct answer is D

6 0

2 years ago

Read 2 more answers

Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago