Answer:
1.22
53.08
Step-by-step explanation:
4. We can find the quarter circle, we can find the whole triangle, lets do that
The circle is, 1/4*(1)^2*pi, which is 1/4pi
The triangle is, 2 * 2 divided by 2, which is 2
2 - 1/4pi gives us the shaded part or
2 - 1/4*3.14
2 - 0.785 = 1.215 rounded to 1.22
5. The area of a cylinder is pir^2h. r is 10, h is 1.2
12pi cm^3
we have 20 m^3 which is 2000 cm^3
Let's divide,
2000/37.68 = 53.078, rounded gives us 53.08
Question 6 (2 points)
The parabola is in intercept form.
y=(x+1)(x+7)
The vertex is
Blank 1:
Blank 2:
Answer:
Blank 1: (-7,0)
Blank 2: (-1,0)
Step-by-step explanation:
Plug x=0 into the equation and solve the resulting equation y=7 for y
Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x
Two balls are picked in succession without replacement -4 white balls and 5 green balls let Y be the random representing the number of green balls. Find the value of the random variable Y.
Answer:
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
The probability of getting both balss green without replacement is 0.27778
Step-by-step explanation:
If the balls are not replaced then this is the dependent event .
The probability of getting the first ball is given be = 5/9
where 5 is the number of green balls and 9 is the total number of balls.
The probability of getting the second ball green given that first is also green is = 5/9* 4/8= 20/72= 0.2778
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
0 means there can be no green balls or white balls.
1 means there can be one green ball.
2 means there can be 2 green balls and so on.
In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:
the chance of the event is 0.2778%
So organizing the information given in the statement is:
If the balls are not replaced then this is the dependent event .The probability of getting the first ball is given be = 5/95 is the number of green balls and 9 is the total number of balls.So with this information we can write that:
[tex]5/9* 4/8= 20/72= 0.2778[/tex]
See more about probability at brainly.com/question/795909
The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width
Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.
Step-by-step explanation:
Step 1
The perimeter of a rectangular atrium is given as 2( l+b)
The perimeter of a rectangular atrium is 300 yards.
Let the width be represented as x
such that the
The length of the garden which is ninety-six yards more than the width is expressed as x+ 96
and the expression to solve for length and width will now be
Step 2
Perimeter = 2(l+b) = 2l + 2b
300=2( x+96) + 2 x
300= 2x+ 192 + 2x
300= 192+ 4x
300-192=4x
108=4x
x=108/4
x=27
width = 27 yards
length = x+ 96= 27 +96=123 yards
Factor completely by grouping: 6x² + 2x + 9x +3
is
Answer:
(2x+3)(x+1)
Step-by-step explanation:
6x² + 2x + 9x +3
(6x² + 2x) + (9x +3)
2x (x+1) + 3 (x+1)
(2x+3)(x+1)
Answer:
(3x+1) ( 2x+3)
Step-by-step explanation:
6x² + 2x + 9x +3
Make the groups
6x² + 2x + 9x +3
Factor 2x out of the first group and 3 out of the second group
2x( 3x+1) + 3(3 x+1)
Now factor out the common term inside the parentheses
(3x+1) ( 2x+3)
*
Simplify the square root
V16
O
16
0.4
O
40
O
4
Gabby makes banana bread at her bakery every Monday and Wednesday,
Her banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Complete that table to show the ratio of ingredients Gabby used to make her
banana bread.
Answer:
Monday:
Cups of Sugar: 3
Tablespoon of Butter: 30
No. of Bananas: 75
Wednesday
Cups of Sugar: 1.12
Tablespoons of Butter: 11.2
No. of Bananas: 28
Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour
Answer:
0.5 pounds per container.
Step-by-step explanation:
just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5
There each container holds a number of pounds of flour which would be 0.5 pounds.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.
We can use the following equation to find out how many pounds of flour each container holds:
pounds of flour per container = total pounds of flour / number of containers
So, using this equation:
pounds of flour per container = 3 / 6
Apply the division operation, and we get
pounds of flour per container = 0.5
Each container holds 0.5 pounds of flour.
To learn more about the division operation click here :
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Find the standard deviation of the data set below. Round to the nearest tenth,
6, 5, 2, 5,8
Answer:
The standard deviation = 1.9
Step-by-step explanation:
standard deviation, ρ = sqrt ( [tex]\frac{sum(x_{i} - u)^{2} }{N}[/tex])
Where u is the mean of the data, [tex]x_{i}[/tex] each given value, and N is the number of data given.
Mean, u = [tex]\frac{6+5+2+5+8}{5}[/tex]
= 5.2
So that;
[tex](6-5.2)^{2}[/tex] = [tex](0.8)^{2}[/tex] = 0.64
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](2-5.2)^{2}[/tex] = [tex](-3.2)^{2}[/tex] = 10.24
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](8-5.2)^{2}[/tex] = [tex](2.8)^{2}[/tex] = 7.84
Sum = 18.8
So that;
[tex]\sqrt{\frac{18.8}{5} }[/tex] = [tex]\sqrt{3.76}[/tex]
= 1.9391
= 1.9
The standard deviation of the given data is 1.9
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a.87 km
b.192 km
c. 216 km
d. 33 km
Answer:
B.) 192 km
Step-by-step explanation:
Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.
PQR is a right angled triangle calculate the size of angle marked x
Answer:
[tex]\displaystyle x \approx 37.4^\circ[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = x
Adjacent Leg = 5.8
Hypotenuse = 7.3
Step 2: Solve for x
Substitute in variables [Cosine]: [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide: [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse: [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse: [tex]\displaystyle x = 37.39^\circ[/tex]Round: [tex]\displaystyle x \approx 37.4^\circ[/tex]When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).
Answer:
About 51.6 feet
Step-by-step explanation:
50^2+13^2
Square root of 2669 is 51.66236541
3 Each expression below shows the length and width of
a rectangle in yards. Write each expression in the
correct box according to the area it represents.
Answer:
less than 1yd²:
2/3x3/5= 2/5
1/4x5/3= 5/12
1/2x9/10= 9/20
equal to 1yd²
1/4x4/1= 1
4/3x6/8= 1
more than 1yd²
2/3x5/3= 1.1
Step-by-step explanation:
2/3x3/5= 2/5
1/4x4/1= 1
2/3x5/3= 1.1
1/4x5/3= 5/12
1/2x9/10= 9/20
4/3x6/8= 1
Answer:
2..........3
--- x ---
3............5
Step-by-step explanation:
goes to area less than 1square yard
Sara was cliff jumping. She was on a cliff 25 feet above sea level. She jumped into the sea and descended a total of 37 feet. How many feet below sea level did she travel? Justify your reasoning.
Answer:
12 feets below sea level
Step-by-step explanation:
Initial height = 25 feets above sea levwl
Total descent = 37 feets
Distance traveled below sea level = 37 feets - 25 feets = 12 feets
Hence, Sarah traveled 12 feets below sea level
d-1/2=5/12 what is d??
Answer:
d = [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.
[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]
Thus, d = [tex]\frac{11}{12}[/tex].
Evaluate the expression. 6(3+5)/4
Answer:
12
Step-by-step explanation:
6(3+5)/4 add number inside parentheses
6(8)/4 multiply 6 and 8
48/4 divide
12
Hope this helped you!
0.92 repeating as a fraction
(0.9222222222222222222........)
Answer:
0.9222222222222222/1
Step-by-step explanation:
PROBLEM SOLVING A math club is having a bake sale. Find the area of the bake sale sign
TT IS
SWEET!
412ft
Math Club Baka Ina this Saturday
729 ft
The area of the sign is square feet.
The area of the bake sale sign is 6 ft²
Area
Area is the amount of space occupied by a two dimensional object.
Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
The area of a rectangle = length * breadth
The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]
Find out more on Area at: https://brainly.com/question/25689052
7 x 1/6
Please help if you can
Answer:
7/6
Step-by-step explanation:
U just need to multiply 7 x 1/6 = 7/6 = 1.16
What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.
Answer:
first: 8 in^2
second: 77 yd^2
third: 225 in^2 (assuming that the larger triangle base =50 in (25 x 2)
Step-by-step explanation:
area = 1/2 x base x height
first:
1/2 x 4 x 4 = 8 in^2
second:
1/2 x 14 x 11 = 77 yd^2
third:
(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2
Which ordered pair is on the graph of the function? O (-1,2) O (6,-3) O (-2,-4) O (-6, 4)
Answer:
(6, -3)
Step-by-step explanation:
Please help ❤️❤️❤️❤️❤️❤️❤️
Answer:
-3/7
Step-by-step explanation:
find two lattice points
the ones I found are (-3, 3) and (4, 0)
use the slope formula
(0-3)/(4-(-3)) = -3/7
Mr. Petersons rectangular garden had a width of 3 meters and an area of 10 square meters. This year he wants to make the garden three times as long and two times as wide? What are the the measurments of this years garden?
Answer:
Measurements of this years garden are 10 meters and 6 metres.
Step-by-step explanation:
Width of a rectangular garden = 3 meters
Area of a rectangular garden = 10 square meters
Also,
Area of a rectangular garden = length × breadth
10 = length × 3
Length = [tex]\frac{10}{3}[/tex] meters
Mr. Petersons wants to make the garden three times as long and two times as wide.
New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters
New breadth = 2(width) = 2(3) = 6 meters.
Therefore,
Measurements of this years garden are 10 meters and 6 metres.
solve for x: 17/x+10 = 16/x
x=____
Answer:
X = -1/10
Step-by-step explanation:
[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]
Someone please help!
Answer:
10=1x+25
slope=1
y-int-25
Thats all i know so far i will keep working on it
Step-by-step explanation:
Given the following parallelogram: Solve for x.
7x + 70
16x - 20
Answer:
x=10
Step-by-step explanation:
7x+70=16x-20
70=9x-20
9x=90
x=10
What is the slope of the line that connects the points (0.5, 4.5) and (1.5, 2.5)?
Answer:
Slope is -2
Step-by-step explanation:
The sum of 2 numbers is 5. The larger number exceeds twice the smaller number by 14. Find the
numbers.
Answer:
I think 4 i don't know I tried
Please help
thank you
Step-by-step explanation:
11/4 then reduce
2 3/4
because 11/4 is just like saying 11 divided by 4
Answer:
2.75
Step-by-step explanation:
Make a division plane
find the value of the expression :
[tex]{x}^{2} + 2xy + {y}^{2} [/tex]
[tex]y = \frac{3 + i }{i} \\ x = 2 + 3i[/tex]
Answer: x² + 2xy + y² = 9
x² + 2xy + y² = (x + y)²
with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:
[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]
Step-by-step explanation:
How would I solve this?
Answer:
2.74747741945462
Step-by-step explanation:
i know its long but i think it is correct!:)