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2 years ago

What is the measure of the corresponding central angle for XY in radians?

Mathematics

2 answers:

beks73 [17]2 years ago

5 0

Answer:

4 radians

Step-by-step explanation:

Arc Length (Radians) = rθ

Given Arc Length XY = 40cm and radius, r = 10cm,

we will substitute these 2 values into the formula to find θ.

(10)θ = 40

θ = 40 / 10

= 4 radians

ipn [44]2 years ago

3 0

Answer:

Step-by-step explanation:

the length of arc XY is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{0}{2\pi }$ ( r is radius and Θ is central angle )

here arc = 40 and r = 10 , then

2π × 10 × $\frac{0}{2\pi }$ = 40

20π × $\frac{0}{2\pi }$ = 40 ( cancel 20π and 2π by 2π )

10Θ = 40 ( divide both sides by 10 )

Θ = 4 radians

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If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years f

Anni [7]

Answer:

Part A) Annual $\$66,480.95$

Part B) Semiannual $\$66,862.38$

Part C) Monthly $\$67,195.44$

Part D) Daily $\$67,261.54$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A) Annual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=1$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{1})^{1*5}$

$A=\$47,400(1.07)^{5}$

$A=\$66,480.95$

Part B) Semiannual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=2$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{2})^{2*5}$

$A=\$47,400(1.035)^{10}$

$A=\$66,862.38$

Part C) Monthly

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=12$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{12})^{12*5}$

$A=\$47,400(1.0058)^{60}$

$A=\$67,195.44$

Part D) Daily

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=365$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{365})^{365*5}$

$A=\$47,400(1.0002)^{1,825}$

$A=\$67,261.54$

8 0

2 years ago

Five plus what equals 2?

N76 [4]

Answer:

-3

Step-by-step explanation:

5+-3 equals 2 because it is technically 5-3.

5 0

2 years ago

Read 2 more answers

Solve the inequality

Nady [450]

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

5 0

2 years ago

A landscaper plants 18 bushes in 3 rows.

svp [43]

Answer:

D. 60

Step-by-step explanation:

in one row, 6 bushes are planted.

18/3 = 6

10*6 = 60

6 0

2 years ago

you and three friends are going to wonderland water park. your group plans to ride each water ride twice. prices are shown in th

Karolina [17]

After conducting some mathematical operations, we know that the 3 friends will get $28 back in change from a $100 bill.

<h3>What are mathematical operations?</h3>

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, the change they will get back from $100:

The Coaster is $4.50:

4.50 × 3 (friends) = 13.5

13.5 × 2 (Twice) = $27

The Slide $4.00:

4.00 × 3 (friends) = 12

12 × 2 (Twice) = $24

The Drop $3.50:

3.50 × 3 (friends) = 10.5

10.5 × 2 (Twice) = $21

Change:

100 - (27 + 24 + 21)

100 - 72

$28

Therefore, after conducting some mathematical operations, we know that the 3 friends will get $28 back in change from a $100 bill.

Know more about mathematical operations here:

brainly.com/question/28937023

#SPJ4

Complete question:
You and three friends are going to Wonderland Water Park. Your group plans to ride each water ride twice. Prices are shown in this table.

How much change will your group get back from a $100 bill?

Wonderland Water Park

The Coaster is $4.50

The Slide $4.00

The Drop$3.50

3 0

6 months ago