Answers
Answer:
Step-by-step explanation:
If you connect the chord ends to the center you will see that you form a right triangle where:
[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\
\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]
Related Questions
A football team has a net yardage of -34 1/3 yards on a series of plays. The team needs a net yardage of 20 yards to get a first down. How many yards do they have to get on their next play to get first down?
Answers
Answer:
54 1/3 yards
Step-by-step explanation:
Yards needed = Required net yards - Yards already ran
We know that Required net yards = 20
We can set yards already ran to -34 1/3
Yards needed = (20) - (-34 1/3)
= 20 + 34 1/3 Subtracting a negative makes it a +
= 54 1/3
They have to get 54 1/3 yards on their next play to get a first down
Joris pays 8% sales tax on a backpack that costs 68 dollars. How much does the sales tax add to the purchase price?helpppppp
Answers
Answer:
$5.44
Step-by-step explanation:
To get this answer, you just multiply 68 x 0.08, which equals $5.44
1 x=5
2x + y = 10
Substitution
Answers
Answer:
Y = 0
Step-by-step explanation:
If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0
Write the equation of the table below.
X Y
0 1
1 4
2 7
4 13
5 16
Answers
Answer:
y= 3+x
Step-by-step explanation:
Answer:
y= 3+x
Explanation:
Simplyfy ( 7x-6)²+(7x+3)²
Answers
Answer:
98x^2-42x+45
Step-by-step explanation:
need help solving this problem down below.
Answers
Answer:
1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²
2 / Find the area of an isosceles Δ DEF:
The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft
So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²
3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²
Step-by-step explanation:
Donna is saving money to buy a game. The game costs $30, and so far she has saved three-fifths of this cost. How much money has Donna saved?
Answers
Answer:
30*3/5=90/5=$18
Step-by-step explanation:
hey! please help on this question i'll give brainliest <333 .
Answers
Answer:
9 1/6
Step-by-step explanation:
=(35×3)+(10×6)6×3
=165/18
Simplifying 165/18, the answer is
=9 1/6
Find the L.C.M of 150,180and 240 leaving your answer as product of prime factors
Answers
Answer:
2^4·3²·5² = 3600
Step-by-step explanation:
Sally's pet store sells goldfish. The fish they sell, every goldfish needs 4 gallons of water in the tank. Frank's pet store sells goldfish as well. At Frank's every 4 fish need 3 gallons of water. If a customer has a 12 gallon tank, where should they buy the fish from?
Answers
Answer:
Frank's pet store
Step-by-step explanation:
Assuming they want the most fish with 12 gallons, lets see how many we can get from each place
Sally's. 12/4 = 3
3 goldfish
Franks. 12/3 = 4
4* 4 = 16.
Frank's place can get you more fish
Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3
Answers
Answer:
Step-by-step explanation:
x³y² = x * x * x * y * y
x²y³ = x * x * y *y * y
GCF = x * x * y * y = x²y²
x³y² - x²y³ = x²y² ( x - y)
Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answers
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
Wyoming has 5.49 people per square mile and is 97,100 square miles. New York has 412.81 people per square mile and is 47,214 square miles. Use the size of Wyoming and the pollination density to approximate the population of Wyoming
Answers
Answer: 533,079 people
Step-by-step explanation:
Population density shows the concentration of people in an area. It is calculated by dividing the number of people in the area by the size of the area.
Population density = Number of people in area / Size of area
5.49 = Population / 97,100
Population = 5.49 * 97,100
= 533,079 people
Bob's car cost $2.99 per pound. how much will 3.4 pounds cost?
Answers
Answer:
10.166
Step-by-step explanation:
2.99 x 3.4 = 10.166
Hope this helps, have a great day!
Can someone please help me with this
Answers
Answer:
D
Step-by-step explanation:
A has the rate of change of 3
B has the rate of change of 5
C has the rate of change of 9
D has the rate of change of 20
B has a rate of change of 5
C has a rate of change of 9
D has a rate of change of 20
Therefore D has the highest rate of change. Hope this helps! :)
This is area of shaded region and i don't know what to do pls help
Answers
Answer:
342
Step-by-step explanation:
18×25=450
9×12=108
450-108=342
Find UV.
v
2
T
270
U
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
Answer:
UV = 3.9
Step-by-step explanation:
Here, we want to find the value of UV
From the question, we can see a right-triangle
2 faces the angle given and is thus the opposite side
UV represents the adjacent side
mathematically, the trigonometric ratio that relates the opposite to the adjacent is the tangent
It is the ratio of the opposite to the adjacent
Tan 27 = 2/UV
UV = 2/tan 27
UV = 3.9
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answers
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16
Answers
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number of watermelons loretta grew this year?
Answers
Answer:
[tex]54+\frac{5}{9}\times 54[/tex]
Step-by-step explanation:
We are given that
Loretta grew watermelons in her garden last year=54
We have to find the expression which shows the number of watermelons Loretta grew this year.
To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .
According to question
5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]
Therefore, the expression which shows the number of watermelons Loretta grew this year
=[tex]54+\frac{5}{9}\times 54[/tex]
Complete the statement with , or =.
5/5 ___ 1
Answers
Answer:
=
Step-by-step explanation:
Answer:
5/5=1
Step-by-step explanation:
please i need help again
Answers
Answer:
8^2*(2+6)/4= 64*8/4 = 512/4 =128
Answer:
128
Step-by-step explanation:
First add 2+6 because it's in parenthesis
Second, square 8 and get 64
third, multiply 64 times 8
last divide 64 times 8 (which is 512) by 4
USE PEMDAS OR GEMS TO DECIDE THE ORDER
GEMS:
G- groups (parenthesis)
E- exponents
M- multiplication and division (go in order of what comes first in equation)
S- subtraction and addition (go in order of what comes first in equation)
) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answers
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
hellooo anyone wanna help??
Answers
Answer:
The answer is B
Step-by-step explanation:
[tex]\frac{x}{3}[/tex]+7>28
[tex]\frac{x}{3}[/tex]>28-7
[tex]\frac{x}{3}[/tex]>21
x>21*3
x>63
Jenny spends 3 hours each week practicing soccer and 5 hours each week practicing piano. Write the ratio of hours spent practicing soccer to hours spent practicing piano.
Answers
3 hours of soccer to 5 hours of piano
It would be written as 3:5
Answer:
3:5 or 3/5
Step-by-step explanation:
What is the fraction equivalent to 282%?
2
OA) 28
10
B) 28
41
C) 2
50
21
Answers
Answer: 41/50
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
282% = 282/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 282 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(282,100) = 2. So,
(282÷2)/(100÷2) = 141/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 282/100 is also equal to 2 41/50 when expressed as a mixed number.
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answers
Answer:
5 inches
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
you first divide 12 by 3 then multiply it by 2 to get 8
Find the side of cube whose total surface area is 486 sq.cm
Answers
Answer:
9 cm
Step-by-step explanation:
The cube has 6 square faces.
Divide surface area by 6 to find area of 1 face
area = 486 ÷ 6 = 81 cm²
The area of a square = s² ( s is the side length ) , then
s² = 81 ( take the square root of both sides )
s = [tex]\sqrt{81}[/tex] = 9 cm
my number is the largest 2 digit number that is a multipull of both 4 and 3
Answers
Answer:
96.
Step-by-step explanation:
4*4*3 = 48
2 * 48
= 96
A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.
How many seats are in the lower level?
How many seats are in the middle level?
Answers
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
this is correct on edge 2021