Answer:
3.14*15^2=706.5
706.5/2=353.25
Hope This Helps!!!
The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.
What is the area of the semi-circle?A semicircle is formed by simply dividing a circle into exactly two halves.
Hence, the area of a semi-circle is half the area of a circle.
Area of semi-circle = 1/2 × πr²
Given the parameters:
Diameter d = 60 cm
Radius r = diameter/2 = 60/2 = 30 cm
Area =?
To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:
Area of semi-circle = 1/2 × πr²
Area of semi-circle = 1/2 × 3.14 × 30²
Area of semi-circle = 1/2 × 3.14 × 900
Area of semi-circle = 3.14 × 450
Area of semi-circle = 1413 cm²
The area is approximately 1413 square centimeters.
Learn more about the area of semi-circle here: https://brainly.com/question/464269
#SPJ2
On a line, if XY=6, YZ=8 and XZ=2, which point is between the other two?
A. X
B. Y
C. Z
D. Cannot tell
The base of a triangle is v245 cm and its height is V20 cm. Find its area.
The given information of the base length and the height of the
rectangle are sufficient to find the area of the triangle.
Correct response:
The area of the triangle is 35 cm.²Methods used for finding the areaGiven that the parameters are;
The base of the triangle = [tex]\sqrt{245}[/tex] cm
The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm
Required:
To find the area of the triangle
Solution:
[tex]Area \ of \ a \ triangle = \mathbf{ \dfrac{1}{2} \times base \times height}[/tex]Therefore, the area, A, of the given triangle is given as follows;
[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]
The area of the triangle, A = 35 cm²Learn more about the area of plane shapes here:
https://brainly.com/question/8428727
https://brainly.com/question/9405007
You want to save at least $180 to buy a new phone. You already have $65 in your account, and you can save $23 a week from your after-school job. Which inequality can be used to find the minimum number of weeks you need to save before you can purchase the phone?
Answer: 180≤23x+65
Step-by-step explanation:
p = phone
w = weeks
65 + 23w ≥ 180
If you need it to be solved, the minimum number of weeks goes as shown:
65 + 23w ≥ 180
-65 -65
23w ≥ 115
/23 /23
w ≥ 5
So, the minimum number of weeks that is required is 5.
What is the slope of the line that passes through the points (-10,1 ) and (0,5 )?
Answer:
4/10 or 0.4
Step-by-step explanation:
I just need 20 charecters
Answer:
slope = 0.4
Step-by-step explanation:
HOPE THIS HELPS :)
Suppose you are putting up a tent for a camping trip.
The 9 foot center pole makes a right angle with the ground. If a rope goes from the top of the pole to a point on the ground 12 feet away from the base of the pole. how long of a rope is needed?
The length of the rope needed is 15 feet
Given the following parameters;
Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feetRequired
Length of the rope.To get the length of the rope, you will use the pythagoras theorem expressed as:
c² = a² + b²Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: https://brainly.com/question/231802
Work out m and c for the line:3x + 2y−1 =0
please help quickly
Answer:
m=-1.5 and c=0.5
Step-by-step explanation:
3x+2y-1=0
divide everything by 2, to get y.
3x/2=1.5x, -1/2=-0.5.
then separate 1.5x and -0.5 from y (put them on the other side)
there, y=-1.5x+0.5
m=-1.5, and c=0.5
23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?
Answer:
230/p = 23/100 You would need 1,000 g of snack mix.
Step-by-step explanation:
There are 1000 snack mix would be needed to get 230g of almonds.
Given that;
23% of a snack mix is almonds.
And, there are 230g of almonds.
Let us assume that;
The number of snacks = x
Hence, it can be written as,
23% of x = 230
23/100 × x = 230
23x = 23000
x = 23000/23
x = 1000
Therefore, The number of snacks = 1000 g
Learn more about the percentage visit:
https://brainly.com/question/24877689
#SPJ3
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
20%
43*0.8=34.4
Hope This Helps!!!
what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.
What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
Does this data fit the model of a normal distribution? Why or why not?
Standard deviation of the numbers is 16.154.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given observations are
77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Average or mean of the data is
x=Sum of n values/ Total number of values
x=1432/20=71.6
The Standard deviation of the data is
[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]
=√5218.8/20
=√260.94
=16.154
Hence, standard deviation of the numbers is 16.154.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ5
How much will is cost for 10 pencils and one notebook
Notebook $1.25
Pencil $0.50
Binder $2.15
Pen $0.80
Answer:
$6.25
Step-by-step explanation:
10 pencils = $0.5 times 10 = $5
$5 plus $1.25 (price of the notebook) = $6.25
Solve the pair of simultaneous equations
x = 4 - y
x = y + 2
(3,1)
x=3; y=1
Step-by-step explanation:
Algebraic
Answer:
The solution to this system of linear equations is (3, 1).
Step-by-step explanation:
Here we have two equations for x. We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y
Then y must be 1. Substituting this into the first equation, we get x = 4 - 1 = 3.
The solution to this system of linear equations is (3, 1).
Sarah has 150 marbles. Of the marbles, 2/5 are blue, 3/10 are clear, and the rest are green. What is the ratio of blue marbles to clear marbles to Green marbles in simplest form?
Answer:
4 : 3 : 3
Step-by-step explanation:
2/5 of 150 = 300/5 or 60; therefore, there are 60 blue marbles
3/10 of 150 = 450/10 or 45; therefore, there are 45 clear marbles
150 - (60 + 45) = number of green marbles; there are 45 green marbles
Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3
PLZZZ HELP
Order these numbers from least to greatest.
Answer:
51/10, 4 and 1/9, 5.116, and 5.98
Step-by-step explanation:
least to greatest
Answer:
4 1/9, 51/10, 5.116, 5.98
Step-by-step explanation:
4 1/9
= 37/9
= 4.111...
51/10
= 5.1
please help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
Need the answer right now please help meeeeeeee
answer
2.5
Step-by-step explanation:
that is what I got so
LOOK AT THE IMAGE!!!!!
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
I need some help with this.
I only solved #53 , it is inverse.
Find the slope-intercept form of the line whose slope 5 is and that passes through the point (-5,8).
The equation of the line is
Answer:
y=5x+33
Step-by-step explanation:
y-y1=m(x-x1)
y-8=5(x-(-5))
y-8=5(x+5)
y=5x+25+8
y=5x+33
5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5
Answer:
slope = -4/5 and y-intercept = -9/5
Step-by-step explanation:
make y the subject of the formula
Given h(x)=-3x-4h(x)=−3x−4, find h(0)
Answer:
h(0) = -4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
h(x) = -3x -4
h(0) = -3·0 -4 = 0 -4
h(0) = -4
_____
Additional comment
In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.
Which one cuz they are in different order.!!!
Answer:
wot
Step-by-step explanation:
A rug in the classroom is 3/4 yard wide and 8/6 yards long. What is the area of the rug in square yards?
PLEASE BE ANSWERED IN 30 MINS TOPS
Answer:
i think area of the rug is 1 square yards
Step-by-step explanation:
area = 3/4×8/6
area = 2/2
area = 1 square yards
PLLZ HELLP QUESTION IS BELOW!! :D
Answer:
The answer to the first question is 32 but I don't know the slope of the line, sorry
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards must he sell in order to make a profit if each skateboard sells for $35?
Answer: 310
Step-by-step explanation:
35-15= 20
6200 / 20 = 310
Answer:310
Step-by-step explanation:divide 6200 by 20 and it gives you 310
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find out more on speed at: https://brainly.com/question/3004254
Answer:
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4
Answer:
[tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
Step-by-step explanation:
[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is (x²+y²)/x⁴. The expression will be solved as,
E = (x²+y²)/x⁴
Separate the terms into two fractions,
E = (x²+y²)/x⁴
E = (x²/x⁴) + ( y² / x⁴)
Divide the divisible terms and solve,
E = (1/x² + y²/x⁴)
To know more about an expression follow
https://brainly.com/question/17581179
#SPJ2
Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
What is the value of X?
Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable