Answer:
5^2+10^2=25+100=125
Step-by-step explanation:
Answer: 125
Step-by-step explanation: 5² + 10² = 25 + 100
The area of a circle is 36.43cm2.
Find the length of the radius rounded to 2 DP.
Answer:
3.40 cmStep-by-step explanation:
It is given that the area of a circle is 36.43cm² and we have to find the length of the radius.
So, first of we must know this formula :
⇒ πr² = Area(Circle)
We will take the value of π as 3.14Now, Substituting the given values in the formula :
⇒ 3.14 × r² = 36.43
⇒ r² = 36.43/3.14
⇒ r² = 11.60
⇒ r = √11.60
⇒ r = 3.40
Therefore,
The radius of the circle is 3.40 cmHey ! there
Answer:
Radius of circle = 3.40 cmStep-by-step explanation:
In this question we are given with area of circle that is 36.43 cm² . And we are asked to find the length of radius of circle rounded to two decimal points .
We know that ,
[tex] \qquad \quad \frak{Area_{(Circle)} = \pi r {}^{2} } \quad \bigstar[/tex]
Where ,
π = 3.14r = radius of circleSolution : -
According to question , area of Circle is equal to 36.43 . So ,
[tex] \longrightarrow \qquad \: \pi r {}^{2} = 36.43[/tex]
Step 1 : Substituting value of π :
[tex] \longrightarrow \qquad \:3.14 \times r {}^{2} = 36.43[/tex]
Step 2 : Transposing 3.14 to right side :
[tex] \longrightarrow \qquad \: r {}^{2} = \cancel{\dfrac{36.43}{3.14} }[/tex]
On dividing 36.43 by 3.14 , We get :
[tex] \longrightarrow \qquad \: r {}^{2} = 11.60[/tex]
Step 3 : For removing square from r , We are applying root on both sides :
[tex] \longrightarrow \qquad \: \sqrt{r {}^{ 2 }} = \sqrt{ 11.60}[/tex]
We get :
[tex] \longrightarrow \qquad \:r = \sqrt{11.60} [/tex]
Step 4 : Finding square root of 11.60 , We get :
[tex] \longrightarrow \qquad \: \purple{\underline{\boxed{\frak{r = 3.40 \: cm}}}} [/tex]
Therefore, radius of circle is 3.40 cm#Keep Learning(100 POINTS) Please help I'll give brainliest!
Image attached.
#1
Area of base=1/2(2.8)(4.2)
2.8(2.1)5.88in²Volume:
Area of base×Height5.88(7)41.16in³#2
Area of base
6×1/2(7)(6.1)3(7)(6.1)128.1cm²Volume:-
128.1(14)1793.4cm³Answer:
Volume of a prism = area of base × height
⇒ V = Bh
Question 7
The base of this prism is the triangle.
Area of a triangle = 0.5 × base × height
Given:
base of triangle = 4.2 mheight of triangle = 2.8 mheight of prism = 7 mTherefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]
Question 8
The base of this prism is a regular hexagon.
Area of a hexagon = 0.5 × apothem × perimeter
Given:
apothem of base = 6.1 cmside length of base = 7 cmnumber of sides of base = 6height of prism = 14 cmTherefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]
Solve 4+3(x-2)=2x-4.
Answer:
x=-2
Step-by-step explanation:
isolate the variable and the numbers
Answer:
-2
Step-by-step explanation:
4+3(x-2)=2x-4
distibute 3 to (x-2)
4+3x-6=2x-4
simplify
3x-2=2x-4
add -4 (becomes +4) to -2
3x+2=2x
subtract 3x
2=-x
divide the negative
-2=x
Look at the image below.
Find the area of the parallelogram.
Answer:
35
Step-by-step explanation:
i got it on khan
Answer: 18
Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,
Question Five: Rates, Ratios, and proportion
simplify = $450/40 hours
Answer:
$45/4hrs
Step-by-step explanation:
450/40 divide both sides with 10
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B:2
Step-by-step explanation:
3x2/3=3/1x2/3=6/3=2
Our badminton team has finished $75\%$ of its season, during which we won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses
Answer:
80%
Step-by-step explanation:
We can generalize from a specific example.
Let's assume that the season is 100 games long.
We have played 75% of the season, which is 75 games
We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.
So, we must have lost 45 games.
To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.
To win 20 out of the last 25 games will be 20/25 = 0.80 = 80%
X+2/3x=180
What is the value of x?
Answer:
[tex]x = \frac{2}{539} [/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{3x} = 180[/tex]
[tex]180(3x) = x + 2[/tex]
[tex]540x = x + 2[/tex]
[tex]540x - x = 2[/tex]
[tex]539x = 2[/tex]
[tex] \frac{539x}{539} = \frac{2}{539} [/tex]
[tex]x = \frac{2}{539} [/tex]
help me put these numbers from least to greatest 1 1/3, -5/6, 0, -2/3, -1 from least to greatest.
Answer:
-5,6,-2/3,1 1/3,0
Step-by-step explanation:
I think this how it goes try it out or not i need help to
Eric has scores of 74, 84, and 83 on his history tests. Use an inequality to find the scores he can make on his final exam to receive a B in the class. The final exar counts as two tests, and a B is received if the final course average is greater than or equal to 80 A Eric must score at least a on his final exam to receive a B in the class (Round to the nearest tenth as needed.) please help and show steps on how to do it!! I want to learn how to do it!!
Answer:
yes, eric must score at least a mid A which is about 90%. Pretty simple...
Martin collected data from students about whether they played a musical instrument. The table shows his
results.
Instrument
No Instrument TOTAL
Boys
32
60
92
Girls
38
68
TOTAL
70
90
160
Of the students surveyed, how many played an instrument?
The number of students surveyed who played an instrument is
Answer: 90 students
Step-by-step explanation:
I got this question on my test, and the answer was 90
100% verified! :D
Angle RAT measures how many degrees ? 10 20 30.0
The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
How to measure the angle in protector?Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:
Place the protector center point at the vertex of unknown angle.One side of angle should be place at 0 mark line of this device.Other side of angle will be equal to the angle shown in protector on that line.In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.
Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
Learn more about the protector here:
https://brainly.com/question/1161640
#SPJ1
What is 4,255 rounded to the nearest THOUSAND?
Answer:
4,000
Step-by-step explanation:
To round a number, take the place next to the one you wish to round and look to see if it is four or under, or five or up. In this case, 2 is less than 5 so we will be rounding down towards the nearest integer, which is 4. Also, all places after the place value you round will become zero. So, 4,000 rounded to the thousands place is 4,000.
hope this helps :)
Answer:
The answer would be 4,000
Step-by-step explanation:
even if you round it up the the nearest hundred, it would still be 4,000.
After being involved in a car accident last month, ralph’s insurance company has increased his annual premium by $105.38. approximately what change will ralph see on his future monthly statements as a result of the change? a. ralph’s monthly insurance payment will not change. b. ralph’s monthly insurance payment will increase by $8.78. c. ralph’s monthly insurance payment will increase by $17.56. d. ralph’s monthly insurance payment will increase $105.38.
Answer:
B. if it says that the insurence company has increased the price of the plan by a certian amount, then the montly price will increase by a few dollars.
Step-by-step explanation:
Please help!! Will mark brainlyest.
What is the solution of log subscript 3 baseline (3 x 2) = log subscript 3 baseline (4 x minus 6)?
The solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8
Law of logarithmGiven the logarithm expression
log(3)[[3x+2] = log(3)[4x - 6]
The logarithm on both sides of the equation will cancel out to have:
3x + 2 = 4x - 6
Collect the like terms
3x - 4x = -6 - 2
-x = -8
x =8
Hence the solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8
Learn more on logarithm here: https://brainly.com/question/13473114
Answer:
8
Step-by-step explanation:
If a=2, b=-3, c=4
ab - bc =
Which story problem can be answered using the equation below?
2/3x4=8/3
A.
A group of eight friends share 4 pounds of ice cream equally among themselves. How many pounds of ice cream do 3 of them get?
B.
Jason has 2 pounds of berries to share with 3 friends. He divides the berries into 4 equal servings. How many pounds of berries does each person get?
C.
Jessica cuts 4 meters of ribbon into 3 equal parts and uses 2 of these parts to decorate a poster. How many meters of ribbon does she use on her poster?
D.
Adam is hosting a graduation party. He pours 4 cans of juice into 8 glasses equally. How many cans of juice will 3 of these glasses have?
Answer: C
Step-by-step explanation:
4/8 ×3/1
Determine the central and radius of the circle of equation given below
x2+y2-4x+6y-12=0
Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = [tex]\sqrt{25}[/tex] = 5
Answer:
center of the circle = (2, -3)
radius of the circle = 5
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given equation:
[tex]x^2+y^2-4x+6y-12=0[/tex]
Collect like terms:
[tex]\implies x^2-4x+y^2+6y-12=0[/tex]
Add 12 to both sides:
[tex]\implies x^2-4x+y^2+6y=12[/tex]
Complete the square for both variables.
Add 4 to both sides for x. Add 9 to both sides for y.
[tex]\implies x^2-4x+4+y^2+6y+9=12+4+9[/tex]
[tex]\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9[/tex]
Factor the two variables:
[tex]\implies (x-2)^2+(y+3)^2=25[/tex]
Therefore:
center of the circle = (2, -3)radius of the circle = √25 = 5Solve quadratic equation using FACTORING
Answer:
x=16 or x=2
Step-by-step explanation:
[tex]x^{2}[/tex]=18x-32
-[tex]x^{2}[/tex] -[tex]x^{2}[/tex]
[tex]x^{2}[/tex]-(18x-32)=0
[tex]x^{2}[/tex]-18x+32=0
Factorize
x 2
x 16
(x-16)(x-2)
x-16=0
+16 +16
x=16
or
x-2=0
+2 +2
x=2
What would be the correlation coefficient (r) of the following scatter plot?
Look at the picture down below to answer the question
options:
-.15
.92
-.89
.45
Answer:
-0.89 (i think)
Step-by-step explanation:
Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89
If its wrong then i'm not a smart person, and it's -0.15
mr richey bought 20 organizer books and 20 staplers for students. each stapler costs 3$. mr richey spent in total of 200$ for the organizer books and staplers. what is the cost, in dollars of 1$ organizer book
Answer: $7
Step-by-step explanation: if a stapler cost $3, then 20staplers will cost $60
Amount left will be $200-60=$140
Cost of one organiser will be $140/20
That will be $7
A__________ has a regular polygon base and a vertex over the center of the base.
A. regular pyramid
B. pyramid
C. prism
D. right prism
Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she
works. Which expression represents the total amount of money Anna charges?
Answer:
$25(h) + $130
Step-by-step explanation:
Answer:
[tex] \sf 130 + 25h = TA [/tex]
[tex]Solving Steps : - [/tex]
Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?
Given :- To find the expression represents the total amount of money Anna charges?
SolutionShe earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour
Therefore, will add $130 to $25 and add a variable letter 'h'
⇒ $130 + $25(h)
⇒ $130 + $25h = TA
TA being Total amountExpression = [tex] 130 + 25h = TA [/tex]
~Done~
Have a wonderful and fruitfull day :-)
Find the surface area. Round to the nearest tenth, as necessary.
I need helpppp ASAP Please
Answer:
D
Step-by-step explanation:
6(6.4)^2
=245.76
245.76 rounded = 245.8
Answer:
Option D, [tex]245.8\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area
[tex]A = l * w[/tex]
[tex]A = 6.4\ units * 6.4\ units[/tex]
[tex]A = 40.96\ units^2[/tex]
Step 2: Determine the surface area
We know that we have 6 sides of equal area that means that we can just use [tex]6 * 40.96\ units^2[/tex] which gives us [tex]245.76\ units^2[/tex].
Answer: Option D, [tex]245.8\ units^2[/tex]
What is the volume of the cylinder below?
8
• A. 96r units3
•
B. 2257 units*
• C. 1927 units3
D. 5767 units3
Answer:
192π
Step-by-step explanation:
cylinder volume is base times height
2πr^2 = base = 64π
height = 3
64π*3 = 192π
The volume of the given cylinder is 192π cubic units. Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
From the given figure, radius of a cylinder = 8 units and radius of a cylinder = 3 units.
We know that, volume of a cylinder is πr²h.
Now, volume = π×8²×3
= π×64×3
= 192π cubic units.
Therefore, option C is the correct answer.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ7
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 112 degrees
a. 0. 98 units
c. 0. 62 units clockwise
b. 0. 62 units
d. 1. 95 units clockwise
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 57 degrees
a. 0. 99 units
c. 57 units
b. 1. 99 units
d. 0. 50 units
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). -133 degrees
a. 1. 16 units
c. 0. 74 units clockwise
b. 2. 32 units clockwise
d. 0. 74 units
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 215 degrees
a. (-0. 82, 0)
c. (-0. 82, -0. 57)
b. (-0. 57, -0. 82)
d. (1, -0. 57)
Answer:
1. 112 degrees = d 1.95 units clockwise
2.57 degrees = a 0.99 units
3. -133 degrees = b 2.32 units clockwise
4. 215 degrees = c (-0.82, -0.57)
Step-by-step explanation: I guessed on most of them by just looking at the unit circle and proof of their accurracy: just finished the edge practice.
HELPP worth 95 points Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center field
so Ive come to decide to pick the Yankees ballpark however the feet from the center field to home plate is 408 ft
through i don't understand what way do they want me to solve this, it was said to use the tangent ratio and inverse.
please help I'm struggling ):
Answer: try the US cellar field
Home plate is 400ft
Field fence height is 8ft
Angel of elevation is 0.85
solve the equastion for x + 2 1/2 =10
Answer:
x= 7 1/2
Step-by-step explanation:
Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)
So 10- 1/2= 9 1/2
Subtract the 2 to get it out of the way
9 1/2-2=
7 1/2
Hope it helped :)
15) Tom has $640 saved up for a vacation. He has 8 weeks before he leaves. The cost of the
trip is $1,200. What should he be saving each week that would give him at least the minimum
amount for his trip?
Answer:
he should save $70 each week
Step-by-step explanation:
1200 - 640 = 560
560/8 = 70