The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (4, 0) and (0, 3) as end points. One of the legs has length 4.
Use the Point and Segment tools to draw a right triangle that demonstrates the other leg length is 3.
Step-by-step explanation:
They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this:
Could anyone please help me with these questions? PLEASE show all the work and I'll give u the brainiest.
1. A circle has a diameter from (8,2) to (0,2). Find the coordinates of the center of the circle and find the area. Use 3.14 as pi.
2. An amusement park just build a brand new Ferris wheel. But the Ferris wheel rolled 4 revolutions before coming to stop. The diameter of the Ferris wheel is 520 feet. What's the area of the circle? <----I'm not sure what was the question at the end I'm sorry but I think it was that.
Answer:
2. 212264
Step-by-step explanation:
Area of circle: 3.14(r^2)
we need to divide the 520 in half first
520/2 = 260
Now we do the equation!
3.14(260^2)
We get 212264 as our final answer :)
Havea great day!!
Please rate!!
brainliest if its right
Answer:
14
Step-by-step explanation:
28=Diameter
Radius= D/2
=14
A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets?
Answer:
30
24 : 28 would equal 6 : 7
[tex]6/13[/tex] x 65 = 30
Use the proportion of the bracelets
The no. of bracelets are expected to sold are 30 pieces.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.
∴ No. of pieces of bracelets expected to sold are,
= 6/(6 + 7)×65.
= (6/13)×65.
= 6×5.
= 30 pieces.
learn more about ratios here ;
https://brainly.com/question/13419413
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64+25220 Find the volume of each figure. Round your answers to the nearest whole, if necessar 20) 19) 5 yd 7 yd 8 yd 5 cm 6 cm 4 cm 8 yd 7 yd 4 cm 6 cm 3 con sum
Answer:
19) 280 cm³
20) 120 cm³
Step-by-step explanation:
v= l×w×h
19) 7×5×8 = 280
20) 6×5×4 = 120
Rotation: 180° about the origin
Solve rational Equation
Please Show Full Steps Please!
Answer:
x=1
Step-by-step
Step 1:
Simplify x/x2
Dividing exponential expressions :
1.1 x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/
Equation at the end of step 1:
2 1 1
(((—+1)-—)-1)-((2•—)-1) = 0
x x x
STEP 2:Rewriting the whole as an Equivalent Fraction:
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (x) 2 - x
——— = ———
x x
Equation at the end of step 2:
2 1 (2-x)
(((—+1)-—)-1)-————— = 0
x x x
STEP 3:
Simplify 1/x
Equation at the end of step 3:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP4:
Simplify: 2/x
Equation at the end of step 4:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP 5:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
2 + x x + 2
————— = —————
x x
Equation at the end of step 5:
(x + 2) 1 (2 - x)
((——————— - —) - 1) - ——————— = 0
x x x
STEP 6:Adding fractions which have a common denominator :
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+2) - (1) x + 1
——————————— = —————
x x
Equation at the end of step 6:
(x + 1) (2 - x)
(——————— - 1) - ——————— = 0
x x
STEP 7:
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(x+1) - (x) 1
——————————— = —
x x
Equation at the end of step 7:
1 (2 - x)
— - ——————— = 0
x x
STEP 8:
Adding fractions which have a common denominator :
8.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1 - ((2-x)) x - 1
——————————— = —————
x x
Equation at the end of step 8:
x - 1
————— = 0
x
STEP 9:
When a fraction equals zero :
9.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-1
——— • x = 0 • x
x
Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-1 = 0
.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
One solution was found :
x = 1
PLEASE HELP!
A triangular sign has a 45 degree angle angle and a 52 degree angle. Describe how you could find the 3rd angle of the sign
Answer:
83
Step-by-step explanation:
X + 52+45=180
X=180-97
So, x= 83
-note sorry for getting the question wrong it is now fixed.
Answer:
83
Step-by-step explanation:
triangles are 180º
45 + 52 = 97
180 - 97 = 83
Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters? (4 points)
150 centimeters
160 centimeters
1,500 centimeters
1,600 centimeters
Answer:
CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)
Step-by-step explanation:
GIVEN:
Walt grew 10 cm in one year
He is now 1.6m
SOLUTION:
We know that 1 m = 100cm
So 1.6 m = 160cm
So one year ago he was:
160 - 10 = 150cm
So he was 150 cm or 1.5 m one year ago.
Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks
Answer:
This line has a slope of 0, with the equation being y = -4
Step-by-step explanation:
Slope can be found with change in y over change in x
[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]
Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.
pls help im really bad at this stuff
Answer:
Student B
Step-by-step explanation:
Student B
Their wages increase at intervals of $6 each hour.
6*1 = $6
6*2 = $12
6*3 = $18
6*4 = $24
6*5 = $30
6*6 = $36
6*7 = $42
6*8 = $48
This shows a proportional relationship between the wages earned and the number of hours worked.
Hope this helps!
explain why not all solutions represented by inequation are always possible solutions in reality.
Why aren't all solutions to an inequality possible in reality?
(TL;DR at the bottom, but the full explanation is better)
Let's answer this using an example.
The equation 2x + 5 > 10 can represent a lemonade stand's sales. What do each of the numbers represent in a real-life situation?
x represents the amount of lemonade glasses sold 2 (dollars) represents the price of each glass of lemonade5 represents the base profit that the stand opened with10 represents the goal for profitA solution for this equation would be x = -3:
2x + 5 > 10
2(-3) + 5 > 10
6 + 5 > 10
11 > 10 - True
Another solution is x = 11/3:
2x + 5 > 10
2(11/3) + 5 > 10
(22/3) + 5 > 10
(37/3) > 10
(36/3)+(1/3) > 10
12 and (1/3) > 10
These are solutions to our inequality from a mathematical standpoint but are both implausible in real life.
Assuming that reasonable would mean a full glass, -3 and (11/3) are possible answers, but can't be reasonably sold. -3 glasses of lemonade can't be sold, and neither can (11/3) of a glass of lemonade.
Therefore, these values create a situation where "not all solutions represented by inequation are always possible solutions in reality."
TL;DR:
Not all solutions are possible because the value that makes the inequation true is not reasonable or feasible under realistic circumstances, such as a fraction value for people or a negative value for possession.
A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi
Answer:
In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].
Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
brainly.com/question/14283575
Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."
Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!
Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
Step 1: Simplify both sides of the inequality.
5y+4≤−y+22
Step 2: Add y to both sides.
5y+4+y≤−y+22+y
6y+4≤22
Step 3: Subtract 4 from both sides.
6y+4−4≤22−4
6y≤18
Step 4: Divide both sides by 6.
6y/6≤18/6
y≤3
Hey there!
Let's solve your inequality step-by-step.
[tex]\fbox{5y+4≤22−y}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\fbox{5y+4≤−y+22}[/tex]
Step 2: Add y to both sides.
[tex]\fbox{5y+4+y≤−y+22+y}[/tex]
[tex]\fbox{6y+4≤22}[/tex]
Step 3: Subtract 4 from both sides.
[tex]\fbox{6y+4−4≤22−4}[/tex]
[tex]\fbox{6y≤18}[/tex]
Step 4: Divide both sides by 6.
[tex]\fbox{6y/6 ≤ 18/6}[/tex]
[tex]\fbox{y≤3}[/tex]
Answer:
[tex]\fbox{y≤3}[/tex]
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Hank pays $186 a week to rent a room. Next week his landlord is going to raise his rent to $196 per week. What is the percent of increase?
Answer:
The percent of increase is 5%
Step-by-step explanation:
The average weight of a male African elephant is 15,000 pounds. How many tons is this?
Please Help!!
What type of transformation happened from (x,y) --> (-x,y)?
-----
A.Rotation 90*
B.Reflection over the y-axis
C.Translation left 1
D.Reflection over the x-axis
Answer:
B
Step-by-step explanation:
This is a reflection over the y-axis. The x value is changing sign while the y value is staying the same. The general rule for a reflection over the y axis is (x,y) --> (-x,y), and similarly for a reflection over the x axis is (x,y) --> (x,-y). When you reflect a point over an axis, you flip the sign of the opposite value.
Algebra quadratic functions and data, please help
Answer: 60
Step-by-step explanation:
the answer is fx=60
0.6 ÷ 30 = (0.6 ÷ 3) ÷ 10 = 0.2 ÷ 10 =
Answer:
0.02
use BODMAS
bracketorderdivisionmultiplicationaddition subtraction⇒ 0.6 ÷ 30
⇒ (0.6 ÷ 3) ÷ 10
⇒ 0.2 ÷ 10
⇒ 0.02
Let's see
0.6÷303×10=30
So
(0.6÷3)÷100.2÷10(0.2÷2)÷50.1÷50.02Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4.75% interest rate compounded annually. B) A 3-year loan with a 4.00% interest rate compounded annually. C) A 4-year loan with a 3.75% interest rate compounded annually. D) A 5-year loan with a 3.00% interest rate compounded annually.
formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]
============================
✔A) A 2-year loan with a 4.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]
[tex]\hookrightarrow \sf A = \$10,972.56[/tex]
interest : $10,972.56 - $10,000 = $972.56B) A 3-year loan with a 4.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]
[tex]\hookrightarrow \sf A = \$11248.64[/tex]
interest : $11,248.64 - $10,000 = $1248.64C) A 4-year loan with a 3.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]
[tex]\hookrightarrow \sf A = \$11586.50415[/tex]
interest : $11,586.50415 - $10,000 = $1586.5D) A 5-year loan with a 3.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]
[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]
interest : $11,592.74074 - $10,000 = $1592.74Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.
The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the formula for the amount will be
[tex]A = P (1 + r) ^t[/tex]
A = Amount
P = Loan amount
r = rate of interest
t = time
The interest is given as
Interest = A - P
Charles needs a $10,000 loan in order to buy a car.
A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]
Then the interest will be
Interest = 10972.56 - 10000
Interest = 972.56
The amount of interest is $972.56.
B) A 3-year loan with a 4.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]
Then the interest will be
Interest = 11248.64 - 10000
Interest = 1248.64
The amount of interest is $1248.64.
C) A 4-year loan with a 3.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]
Then the interest will be
Interest = 11586.50 - 10000
Interest = 1586.50
The amount of interest is $1586.50.
D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]
Then the interest will be
Interest = 11592.74 - 10000
Interest = 1592.74
The amount of interest is $1592.74.
More about the compound interest link is given below.
https://brainly.com/question/25857212
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
114.9 meter
Step-by-step explanation:
v=(2/3)πr^3
diameter=2r
r=7.6/2
r=3.8
(2/3)π* (3.8)^3
~36.58π meter
if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter
(SEND HELP) 50 points!!
Answer:
A And D
Step-by-step explanation:
THOSE ARE THE CORRECT ANSWER.
Answer:
3units, 4units, 8 units and 12units, 6units, 4units. Aka A and D
Step-by-step explanation:
Find the perimeter of a triangle with sides lengths 8, 10, and 12.
36
14
15
30
Answer:
30
Step-by-step explanation:
Answer:
its 30
Thats my solving process , As its scalene triangle so use its formula
perimeter of triangle= a+b+c
Step-by-step explanation:
Let the sides lengths of the triangle be a, band c respectively
given ,
a= 8
b= 10
c = 12
To find : perimeter of the triangle = ?
We know ,
Perimeter of triangle = a+b+c
= 8+10+12
= 30 cm²
therefore, the perimeter of the given triangle is 30 cm ² .
The fifth-grade teachers returned to school after the summer vacation and found all of the students’ desks in the hallway. The custodians agree to put all of the desks into the fifth-grade classrooms and arrange them. How could the desks in each classroom be arranged using the following student enrollment numbers?
HELP ASAP!!! DUE IMMEDIATELY!!!
3. Find Each Angle Measure. you only need to say the answer and on which one. I will be giving extra points to those who answer and answer legitimately
Answer:
Angle ABD is 16 degrees and Angle DBC is 74 degrees
Step-by-step explanation:
Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)
Graph the image of △UVW after a reflection over the line y=-x
Will give brainliest if correct!
Answer:
Step-by-step explanation:
Rule: (x, y) → (-y, -x)
This means that the x, will now become y, and the y will now become x.
U (-7, -4) → (4, 7)
V (1, -4) → (4, -1)
W (-5, -9) → (9, 5)
U' (4, 7)
V' (4, -1)
W' (9, 5)
*View the attached graph*
Yellow is the original figurePurple is the figure after a reflection over the line y=-xHope this helps!
If you draw a right triangle inside a sphere, which statement about the legs of the right triangle is TRUE?
Each leg of the right triangle is greater than the radius of the sphere.
Each leg of the right triangle is equal to the hypotenuse of the sphere.
Each leg of the right triangle is less than the radius of the sphere.
Each leg of the right triangle is equal to the radius of the sphere.
Answer:
The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect
Answer:
Each leg of the right triangle is equal to the radius of the sphere.
Step-by-step explanation:
I took the quiz and it was right
If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.
Answer:
-3.5
Step-by-step explanation:
6x + 16 = 2x + 2
4x = -14
x = -3.5
Step-by-step explanation:
3 and 7 are equal because they are corresponding angles
6x+16=2x+2
6x-2x=2-16
4x= -14
x= -3.5
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
What is the area of the figure below?
40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]
Answer:
88mm^2
Sorry for not answering it early I know this answer is probably useless for you now
Step-by-step explanation:
Ok, suppose we were to divide this figure into two parts figure 1 & 2
like this... the picture is goven above
So, we can clearly see that figure 1 is a square as it has equal dimensions
and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area
So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.
So we get,
Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm
Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.
Area of figure 1
Area of square = side*side = 8*8 = 64mm^2
Area of figure 2
Area of rectangle = length*breadth = 4*6 = 24mm^2
Total area of the figures
Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2