The length of the wire AC is 61 meters.
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.
We can find the length of wire AC using Pythagoras theorem:
AC² = 60² + (66 - 55)²
AC² = 60² + 11²
AC² = 3721
AC = 61 meter
The length of the wire AC is 61 meters.
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Two square room have a total floor area of 89. One room is 3m longer each way than the other. Find the dimension of the two room
Step-by-step explanation:
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Determine a series of transformations that would map Figure C onto Figure D.
We have that for the Question, it can be said that The series of transformations that would map Figure C onto Figure D are
[tex]Rotation\ 90\textdegree \ clockwise\\\\Z'=(-2,4),(-2,8),(-5,2,(-8,8)[/tex][tex]Translation\\\\(h,k) \arrow (h*-1,k)\\\\Z'=(2,4),(2,8),(5,2),(8,8)[/tex]
From the question we are told
Determine a series of transformations that would map Figure C onto Figure D.
Generally the Co-ordinates for the Figure C map is is mathematically given as
Z=(-4,-2),(-8-2),(-2-5),(-8-8)
Therefore
Initial Transformation
Rotation 90 \degree clockwise
Hence
Z'=(-2,4),(-2,8),(-5,2,(-8,8)
Final Transformation
Translation
(h,k) \arrow (h*-1,k)
Z'=(2,4),(2,8),(5,2),(8,8)
Therefore
The series of transformations that would map Figure C onto Figure D are
[tex]Rotation\ 90\textdegree \ clockwise\\\\Z'=(-2,4),(-2,8),(-5,2,(-8,8)[/tex][tex]Translation\\\\(h,k) \arrow (h*-1,k)\\\\Z'=(2,4),(2,8),(5,2),(8,8)[/tex]
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Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,
bonds, and CDs. CDs pay 4 % Interest, bonds pay 5.3 % interest, and stocks pay 6.2 % interest.
Maricopa Success Invests $ 15000 more in bonds than in CDs. If the annual income from the
Investments is $ 6220, how much was invested in each account?
Maricopa Success invested $
in stocks.
Maricopa Success invested $
in bonds.
Maricopa Success invested $
in CDs.
Answer:
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
Step-by-step explanation:
Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...
0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220
-0.031c +795 +6200 = 6220
-0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants
c = 25000 . . . . . . . . . . divide by the coefficient of c
c+15000 = 40000 . . . . bonds
100000 -2c = 50000 . . . . . stocks
Maricopa Success invested ...
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
At the start of the school year, sportswriter say that your schools football team has a 40% of being the best team in the league
Can anyone fr help me with this?
Answer:
31/36 or as a decimal its 0.86
Pls help will mark the brainiest
Answer:
Negative
Step-by-step explanation:
Since the value of A is larger than B, and A is negative, we go with the sign of A which ends up being negative.
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
negative
Step-by-step explanation:
Order π, √ 16, 3 from greatest to least
Answer:
3, pi, sqrt(16)
Step-by-step explanation:
pi is about 3.14
sqrt(16)=4
this way, it's easy to see that 3<pi<sqrt(16)
Solve the math problem
Answer:
2) a. slope = 4/3
2) b. slope = -4
Step-by-step explanation:
The slope of the line that passes through points
[tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex]
is m, given by the slope formula below:
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
2) a. (30, 32) and (18, 16)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{32 - 16}{30 - 18} [/tex]
[tex] m = \dfrac{16}{12} [/tex]
[tex] m = \dfrac{4}{3} [/tex]
2) b. (4, -26) and (10, -50)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-50 - (-26)}{10 - 4} [/tex]
[tex] m = \dfrac{-24}{6} [/tex]
[tex] m = -4 [/tex]
2x10^-5 i need help please
Answer:
1/50000
Step-by-step explanation:
Sorry if this wasn't helpful! this was the only logical answer i had!
What is the y-intercept of the linear equation shown on the graph?
You can see it is going up 5 and right 10. The slope would be 5/10 (or 1/2).
Since we need to go left 100 units because the x-intercept is (100,0), we will need to repeat the down 5 left 10, 10 times.
-5*10/-10*10 = -50/-100. We will go down -50 times and left -100 which would hit the y-axis. The y-intercept would be -50.
f(x) or y = 1/2x - 50
Double check your work.
y = 1/2 (100) - 50
y = 50 - 50
y = 0 √
Three of the angles of a quadrilateral are 53degrees, 127degrees and 72degrees
Answer:
108
Step-by-step explanation:
The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108
simplify ab squared times ab
Answer:
The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers.
Step-by-step explanation:
To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).
Answer:
a^2b^3
Step-by-step explanation:
Expression:
ab^2(ab)
Simplify it:
a*a=a^2
b^2*b=b^3
Put them together:
a^2b^3
Hope this helps. Have a great day!
if 20 articles cost $90,then the cost of 9 articles is
Answer:
$40.50
Step-by-step explanation:
90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.
What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answer: use distributive property
Step-by-step explanation:
can someone please double check this for me & help me correct it if there are any mistakes!
Answer:
C) Your answer is correct.
Step-by-step explanation:
explain why 2n+1 must be an odd number
please help me find the values of x and y
Answer: A = X + Y; B = X xor Y. The task is to make X as minimum as possible.
Step-by-step explanation:
PLZZZ HELP MEEEE
A city discovers that its population has been tripling every year. The function graphed models the population (in thousands) after x years.
Answer:
in 19 81 has in crimn that day there are a war
Answer:
African Americans contributed to the war by
combat service elements alongside their white counterparts and were involved in all major combat operations, including the advance of United Nations Forces to the Chinese border. Two African-American Army sergeants, Cornelius H. Charlton and William Thompson, earned the Medal of Honor.
Step-by-step explanation:
finish the porblem-
Enter the correct equation in the box.
Answer:
y = -3/4 x
Step-by-step explanation:
Divide y by − 3/4 by multiplying by by the reciprocal of − 3/4 therefore x= -4y/3
.
The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions
Answer:
.........................................
The height of a tree is 8.2 meters.
What is the tree's height in centimeters?
Answer:
820 centimeter :3
Step-by-step explanation:
8.2 meters
move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli
As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.
Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.
∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.
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PLEASE HELP GIVING BRAINLIEST MUCH APPRECIATED
Answer:
The remaining area of the circle is 196.06 cm².
Step-by-step explanation:
(area of circle) - (area of triangle) = remaining area of the circle
πr² - ½bh
3.14(8)² - ½(3)(4)
3.14(64) - ½(12)
202.06 - 6
= 196.06
Answer:
195.06 cm²
Step-by-step explanation:
First let's find the area of the circle
[tex]\pi r^{2}[/tex]
[tex]\pi *8*8[/tex]
[tex]64\pi[/tex]
= 201.06 cm²
Now let's find the area of the triangle
[tex]\frac{1}{2} *base*height[/tex]
[tex]\frac{1}{2} *3*4[/tex]
= 6 cm²
Now let's find the area of the shaded region
[tex]201.06-6=195.06\: cm^{2}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
algebra 2 please help
Answer:
A
Step-by-step explanation:
(f+g)(x)=-2x+4+x^2-3x+5
so answe = x^2-5x+9
How do you do this, because I really do not know how to do this and plz explain how to do this
Answer:
A
Step-by-step explanation:
the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5
so the answer should be
-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity
when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.
for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)
-15 < x - 8 < -4
SOLVE COMPUND INEQUALITY
[tex] \sf \: -15 < x - 8 < -4 [/tex]
Add 8 to all parts[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]
[tex]\sf \longmapsto−7<x<4[/tex]
[tex] \boxed{\sf−7<x<4 }[/tex]
Graph attachedPlease help 12 points
Answer:
SAS because they stand for side angle side
Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3x - 1 = 0
-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0
Find the least common denominator (LCD) of 3/8 and 1/2
Answer:
Answer:
LCD = 8
Equivalent Fractions with the LCD
3/8 = 3/8
1/2 = 4/8
Solution:
Rewriting input as fractions if necessary:
3/8, 1/2
For the denominators (8, 2) the least common multiple (LCM) is 8.
Therefore, the least common denominator (LCD) is 8.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
3/8 = 3/8 × 1/1 = 3/8
1/2 = 1/2 × 4/4 = 4/8
The least common denominator (LCD) is; 8.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
WE need Equivalent Fractions with the LCD;
Now Rewriting input as fractions if necessary:
3/8, 1/2
For the denominators (8, 2) the least common multiple (LCM) would be; 8.
Therefore, the least common denominator (LCD) is; 8.
To Calculate the original inputs as equivalent fractions with the LCD:
3/8 = 3/8 × 1/1 = 3/8
1/2 = 1/2 × 4/4 = 4/8
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Anna's family had a party in a restaurant. Their food bill was $214.58 the tip for servers was found by multiplying the food bill by 0.18 what was the cost of food bill and tip before sales tax round to the nearest cent . help pleaseeeee
Answer:
tip 18% of 241.28= 38,6244 or tip 1.8% = 3,8624400000000003
Step-by-step explanation:
0.1 x 0.01 x 0.001
ans ???
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]