Answer:
Step-by-step explanation:
Weight decreased = 108 - 88 = 20 Kg
Percentage decrease = [tex]\frac{20}{108}*100[/tex]
= 18.52%
1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
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Can anyone help me with 6? Please
Answer: (2)
Step-by-step explanation: y=18(0.75) 0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.
What is the volume of the sphere in terms on pie?
(Answer only with correct answers no links)
Answer:
The answer is A.
Step-by-step explanation:
Formula = 4/3pir^3
Diameter = 3
Radius = 3/2 = 1.5
Using the formula
1.5^3 = 3.375
3.375 * 4/3 = 4.5
Volume = 4.5 pi yd^3
please help HEYMLMUM
Answer:
J
Step-by-step explanation:
Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3
A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
subtract 3 from each side to get:
4x² - 20x + 25 = 0
this is the difference of 2 squares:
(2x -5)² = 0
one solution, x = 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
4x² - 20x + 28 = 3
Move terms to the left side
4x² - 20x + 28 - 3 = 0
Subtract the numbers
4x² - 20x + 25 = 0
Use the quadratic formula
[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
4x² - 20x + 25 = 0
a = 4
b = -20
c = 25
x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]
Evaluate the exponent
x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]
Multiply the numbers
x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]
Subtract the numbers
x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]
Evaluate the square root
x = [tex]\frac{20+0 }{2x4}[/tex]
Add zero
x = 20 / 2 x 4
Multiply the numbers
x = 20 / 8
Cancel terms that are in both the numerator and denominator
x = 5/2
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?
Answer:
The sample space is 29........
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
The expression that represents the width of the rectangle is 4w + 9
Step-by-step explanation:
The formula of the area of the rectangle is A= length x width
The area of a rectangle is 8w+18 square feet.
A= 8w+18
The HCF of 8 and 18 is 2
Divide each term of the area by 2 to get 2 as a common factor
8 /2 =4 and 18 /2 = 9
A=2(4w+9)
The length of the rectangle is 2 feet
Substitute it in the formula of the area above
A=2 x width
A=2 width
Equate the two right sides of the area
2 width =2(4w+9)
Divide both sides by 2
The width = 4w+9
Consider the equation y=97x+8000, what is the y-intercept?
Answer:
8000
Step-by-step explanation
You are the owner of the biggest and newest roller coaster called the Gentle Giant. The roller coaster costs $6 to ride. The operator of the ride must pay $200 per day for the ride rental and $65 per day for a safety inspection. If you want to make a profit of at least $1,000 each day, what is the minimum number of people that must ride the roller coaster? Write an inequality that can be used to find the minimum number of people, , which must ride the roller coaster each day to make the daily profit.
Answer:
Inequality: 6r - 200 - 65 [tex]\geq[/tex] 1000 and minimum of 211 people
Step-by-step explanation:
Let r = rides
6r - 200 - 65 [tex]\geq[/tex] 1000
6r - 265 [tex]\geq[/tex] 1000
6r [tex]\geq[/tex] 1265
r [tex]\geq[/tex] 210 [tex]\frac{5}{6}[/tex]
Needs 211 people to make a profit of at least $1000
Find the volume of the prism?*
Answer:
The volume is 210 cm³
Step-by-step explanation:
The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.
Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.
Answer:
You would save 92$
Step-by-step explanation:
Discount = Original Price x Discount 40/100
Discount = 230 × 40/100
Discount = 230 x 0.4
You save = $92.00
Final Price = Original Price - Discount
Final Price = 230 - 92
Final Price = $138.00
Hope this helps
What is the area of the circle? I need help please!
Answer:
Area is π(Pi) × Radius².
Soo, 3,14×5×5=78,54
I hope this is right
5 is 5% of what number?
Answer:
100
Step-by-step explanation:
what is the height of the object at the time of the launch?
Answer:
100 meters!
Step-by-step explanation:
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A. children who root for the team
B. season ticket holders
C. employees who work for the basketball team
D. fans of the basketball team
Answer:
xd
Step-by-step explanation:
xd
se pone primero la x y despues la d, se dice gracias crick
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following: a) compounded semiannually b) compounded monthly
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
Solve for x: - 3x + 5 = -8x + 10
jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get
Answer:
$21.50
Step-by-step explanation:
HELP PLEASE I WOULD REALLY BE THANKFUL IF YOU HELP, I'VE BEEN STUCK ON THIS
Answer:
Median Range IQR
Northside players. 37 33. 17
Southside players. 37. 43. 30
Giving brainliest for the correct answer
Answer:
8
Step-by-step explanation:
all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal
Answer:
8 in.
Step-by-step explanation:
Perimeter of square = 4l = 4 * 2 =. 8 in.
Find the arithmetic and the geometric means of 5 and 125
Answer:
Arithmetic Mean: 65
Geometric Mean: 25
Step-by-step explanation:
Arithmetic Mean Formula: Sum / # of values
(5 + 125) / 2
130 / 2
65
Geometric Mean Formula: √Product of the values
√(5*125)
√625
25
Can you please help me
Answer:
Each term in pattern X is 1/3 of the corresponing
in patter Y
Step-by-step explanation:
5 is 1/3 of 15
Answer:
the answer would be the top left one, because if you look at the X and times it by 3 you will get the Y
Step-by-step explanation:
0×3=0
5×3=15
10×3=30
15×3=45
20×3=60
that is what I think it is
Express as a trinomial.
(2x – 9)(3x +4)
Answer:
5x^2-19x-36
Step-by-step explanation:
(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)
5x^2 + 8x - 27x - 36
5x^2 - 19x - 36
Expression as a trinomial is 6x² -19x -36.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
(2x – 9)(3x +4).
To express as a trinomial:
(2x – 9)(3x +4),
= 6x² -27x + 8x -36
= 6x² -19x -36
Trinomial is a quadratic function.
Therefore, as a trinomial is 6x² -19x -36.
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The number 360 has many factors. This may be why it was chosen for the number of degrees in a full turn
Answer:
Due to having 24 divisors.
Step-by-step explanation:
360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.
3 + 2a - 7x + 2.5 + 5x
help pls and thank u
Answer:
2 a − 2 x + 5.5
Step-by-step explanation:
Answer:
5.5+2a_2x
Step-by-step explanation:
we add the numbers 3+2.5
TIME REMAINING
01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w
Answer:
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Then that means diagonal DF = DA + FA
= 5 + 16
= 21cm
Step-by-step explanation:
The value of the other diagonal DF is 21.66 cm.
What is Pythagoras Theorem?The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.
Given:
The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.
EG= 24 cm.
As, Diagonal ED divides the diagonal DF into two equal parts.
Now, Using Pythagoras theorem in triangle DOG
x²/4 + y² = 13²= 169
and, Using Pythagoras theorem in triangle EOD
x²/4 + (24 -y)² = 20²= 169
x²/4 + 576 -48y+ 169 - x²/4 = 400
-48y= -345
y= 7.1785
now, y²= 169 - x²/4
51. 6601 = 169 - x²/4
x/2 = 10.83
x = 21.66 cm
Thus, the other diagonal DF is 21.66 cm.
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help in pic ANYONE??
Find the missing side lengths.
Can someone please help???
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degreesUsing this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degreesNow, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangleThat means that both legs of the triangle must be congruent (x = y)Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
help me please. what is the solution for
4≤n−4
Answer:
n[tex]\geq[/tex]8
Step-by-step explanation:
You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.
[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]
In 2.5 hours, 0.64 inch of rain fell. At about what rate did the rain fall? A 0.18 inch per hour 8 0.26 inch per hour 0 0.32 inch per hour D 1.60 Inches per hour
Answer:
0.26 per Hour
Step-by-step explanation:
0.26x2=0.52
0.26/2=0.13
0.52+0.13=0.65
0.65 is the closest to your question