Answer:
30
Step-by-step explanation:
Multiples of 10 = 10,20,30
Multiples of 30= 30,60,90
The smallest one is 30
Answer:
30
Step-by-step explanation:
GCF(10,30) = 10
LCM(10,30) = ( 10 × 30) / 10
LCM(10,30) = 300 / 10
LCM(10,30) = 30
Out of 120 students at a pep rally 15 did not wear green. What percent of students at the rally did wear green
Answer:
87.5%
Step-by-step explanation:
First we find the number of students that did wear green which is 120-15=105. Then we need to find what percentage of these students who did wear green so we divide 105 by 120 which is .875. To find this number in percent form, we multiply this number by 100 which gives us 87.5%.
Answer:
87.5%
Step-by-step explanation:
Hope this helps have a wonderful day
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
K
R
A. ZIKR and AKP
B. AKP and ZPKI
C. AKC and TKI
D. ZAKT and PKC
The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find correct pairs of angles in the figure which are vertical angles.
Now, By definition of vertical opposite angle,
We get;
The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
Thus, The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
Which algebraic expression is a polynomial with a degree of 2?
4x3 - 2x
10x2 - VX
8x3+3+3
6x2 - 6x + 5
Answer:
B and D
Step-by-step explanation:
10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].
6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]
the answers are
a) 1°
b)14°
c)24°
d)31°
Answer:
b) 14°
Step-by-step explanation:
To solve this, you need to make an equation. since a line is equal to 180°, you can add the two angles together. for example, x+96+5x=180. you would write this because these two angles are on a line, which makes the total sum 180°. now you solve: 6x+96=180. 6x=84. x=14°. :)
Answer:
14
Step-by-step explanation:
Farmer Grainger's square plot yields 350
bushels of grain. To Increase the yield,
Grainger invests in a circular sprinkler pivot to
irrigate a square plot of land. When he places
the sprinkler at the center of the field and
stretches the arm to half the field's length, he
estimates that the sprinkler will triple the yield
over the irrigated circular area, even though
some land will not be irrigated.
Answer:
a) The yield for the circular area is the triple of the original yield so it is 1,050 bushels.
Average yield for the square plot= 899 bushels.
b) The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).
Step-by-step explanation:
The arm of the sprinkler goes half the length of the square plot, so the area irrigated is the circumscribed circle. See the picture attached (irrigated area).
The yield will triple in the irrigated area and the same as before in the non-irrigated area. The irrigated area is the area of the circle with radius equal to half the side of the square.
[tex]Y_c=3Y_0=3\cdot350=1,050[/tex]
The non-irrigated area is the area of the square less the area of the circle.
We can calculate the yield as:
[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}[/tex]
where Y0: original yield (350 bushels), Ac: area of the circle, and As: area of the square.
The ratio between the area of the circle and the area of the square is:
[tex]\dfrac{A_c}{A_s}=\dfrac{\pi r^2}{l^2}\\\\\\r=l/2\\\\\\\dfrac{A_c}{A_s}=\dfrac{\pi (l/2)^2}{l^2}=\dfrac{\pi l^2}{4l^2}=\dfrac{\pi}{4}\approx0.78[/tex]
We can now solve for the yield:
[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}\\\\\\Y=3Y_0\dfrac{\pi}{4}+Y_0(1-\dfrac{\pi}{4})=Y_0\left(\dfrac{3\pi}{4}+1-\dfrac{\pi}{4}\right)=Y_0\left(\dfrac{\pi}{2}+1\right)\\\\\\Y\approx2.57Y_0=2.57\cdot350=899.5[/tex]
b) If the arm is located in one corner of the square and the arm has a length of the side of the square, we have an irrigated area that is a quarter of a circle with radius l.
We can calculate the proportion of irrigated area in the square plot, and if it is bigger than the proportion of irrigated area when we have the sprinkler in the center (proportion of 0.78 of irrigated area), then it is better to put the sprinkler in the corner.
The ratio of the irrigated area to the total area is:
[tex]\dfrac{Aq}{A_s}=\dfrac{\pi r^2/4}{l^2}\\\\\\r=l\\\\\dfrac{Aq}{A_s}=\dfrac{\pi l^2/4}{l^2}=\dfrac{\pi}{4}\approx 0.78[/tex]
The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).
Solve for x: 1/2(6x - 10) = 2x - 7
Answer:
X=-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/2(6x-10)=2x-7
(1/2)(6x)+(1/2)(-10)=2x+-7(Distribute)
3x+-5=2x+-7
3x-5=2x-7
Step 2: Subtract 2x from both sides.
3x-5-2x=2x-7-2x
X-5=-7
Step 3: Add 5 to both sides.
X-5+5=-7+5
X=-2
Hope this helps
Which of these is another way to write the function f(x) = 5*
Answer:
May you kindly provide us with a selection of choices? Thank you ! :)
Step-by-step explanation:
Imagine we wanted to investigate whether the reason for quitting smoking affects success rate. We recruited a sample of 120 smokers. Half wanted to quit to improve their appearance (yellow teeth and bad breath, etc) and half wanted to quit to improve their health (life expectancy, etc). After six months we measured how successful they had been at quitting smoking. The data were skewed, so we ran a Mann-Whitney test on the data (output below)
a) People who wanted to quit smoking to improve their appearance (M= 66.91) were significantly more successful at quitting than those who wanted to quit to improve their health (M= 54.09), U = -2.04, z = 188.57, p = .04
b) People who wanted to quit smoking to improve their appearance did not significantly differ from those who wanted to quit to improve their health, U = 1415.50, z = -2.04, p = .04
c) People who wanted to quit smoking to improve their health were significantly more successful at quitting than those who wanted to quit to improve their appearance, U = 1415.50, z = -2.04, p = .04
d) People who wanted to quit smoking to improve their appearance were significantly more successful at quitting than those who wanted to quit to improve their health,, U = 1415.50, z = -2.04, p = .04.
Answer:
I think is C
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. [tex]F(x) = -x^2 - 3[/tex]
Step-by-step explanation:
The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.
This makes "C," the correct answer, as it fulfills these requirements.
What’s the radius of a circle with a 4 inch diameter
Answer:
The radius of the circle with 4 inch diameter is 2 inches
Step-by-step explanation:
This is the formula here:
d = 2r
The radius is solved here:
r = [tex]\frac{d}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 inches
What is another way to say 345 centimeters?
345 cm
345 cg
345 mm
34.5 dl
345 cm
this is because cm is the abbreviation of centimeters.
The pyramid shown is cut into two pieces by slicing vertically from point P to the square base TVWX. This cuts the square base into two equal-sized rectangles. Which describes the cross-section of the square pyramid with this cut?
Answer:
hty
Step-by-step explanation:
Answer:
a triangle
Step-by-step explanation:
if you cut the shape in half, it would be a triangle but at an angle.
hope this helps!
Simplify 8X +7 - 2X -4
Answer:
6x + 3
Step-by-step explanation:
8x - 2x + 7 -4
Look at the attached picture
Hope it will be helpful to you..
Have a great day..
(◍•ᴗ•◍)
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply. (-4, -2) (-2, 1) (-2,-2) (2, 4) (3, 4)
Answer:
(-2,-2) and (3,4)
Step-by-step explanation:
Edge 2020
Answer:
the other person is right -2, -2 and 3, 4
Step-by-step explanation:
I had to do this
Cos x if sin x cot x =5
Answer:
cos x = 5
Step-by-step explanation:
[tex] = > sinx.cotx = 5 \\ \\ = > \cancel{sinx}. \frac{cosx}{ \cancel{sinx}} = 5 \\ \\ = > cosx = 5[/tex]
After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?
Answer:
250 hours
Step-by-step explanation:
The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².
This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is
[tex]a\frac{1-r^{n}}{1-r}[/tex], with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then
[tex]10\frac{1}{0.04} =10*25=250[/tex]
What’s the correct answer for this?
Answer:
The lines have proportional slopeStep-by-step explanation:
because , they determined as slope !
hope it helpful !
mark as brainliest
Answer:
B
Step-by-step explanation:
The lines have equal slopes
-6/3= -2
And
-8/4 = -2 so both slopes are equal hence the lines are parallel
Find an equation equivalent to r = 10 sinθ in rectangular coordinates
Answer:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
Step-by-step explanation:
The following expressions are used to transform from polar into rectangular form:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex]
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
Now, the variables are substituted and equation is finally simplified:
[tex]\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }[/tex]
[tex]x^{2}+y^{2} = 10\cdot y[/tex]
The equivalent equation in rectangular coordinates is:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
100 POINTS PLEASE ANSWERR THESE 2 QUESTIONS I CANT FAIL SUMMER SCHOOL
Answer:
question 7 is 9
question 8 is 11
Step-by-step explanation:
7) the square root of 81 is 9
8) the square root of 25 is 5 and the square root of 36 is 6
5+6=11
Answer:
7) 9
8) 11
Step-by-step explanation:
√81=9
√25=5 √36=6
5+6=11
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside. The city route is shorter in miles, but has more stoplights. The country route is longer in miles, but has only a few stop signs and stoplights. Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18
City Route - 18, 13, 20, 10, 16
It is important to Jean to arrive on time for her classes, but she does not want to arrive too early because that would increase her parking fees.
A) Based on the data gathered, which route would you advise her to choose?
Answer:
We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.
Step-by-step explanation:
We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.
Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18 (in minutes)
City Route - 18, 13, 20, 10, 16 (in minutes)
Now, we have to decide which route is better for Jean to go to college.
As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.
While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.
Hence, we would advise her to choose Country route.
The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15
Answer:
A
Step-by-step explanation:
What’s the correct answer for this?
Answer:
FIRST option is the correct answer
Step-by-step explanation:
First option is the correct answer.
[tex] (x+11)^2 + (y+ 6)^2 = 324\\
(x+11)^2 + (y+ 6)^2 = 18^2 \\[/tex]
Equating it with:
[tex] (x-h)^2 + (y-k)^2 = r^2 \\
- h = 11\implies h = - 11\\
- k= 6\implies k = - 6\\
Center = (-h, \: - k) = (11,\: 6)\\
r^2 = 18^2 \\
Radius= 18\: units [/tex]
A train traveling through Japan has 909090 passengers.
525252 passengers get off in Tokyo. In Yokohama, another 292929 passengers get off the train.
How many passengers are still on the train?
Answer:
9
Step-by-step explanation:
After 81 passengers get off, only 9 passengers remain on the train of the original 90.
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the school is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the museum is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
Who should win the debate?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Sammy
(Choice B)
B
Marci
Answer:
2000 m²2827 m²B. MarciStep-by-step explanation:
It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².
(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...
W = √(1²+3²) = √10
The long side is ...
L = √(2²+6²) = √40
Then the area is ...
A = LW = (√40)(√10) = √400 = 20
The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m
__
(b) The area of the museum is given by the formula ...
A = πr² = π(3)² = 9π grid squares = 2827 m²
The area of the museum is 2827 m².
__
(c) Marci says the museum has a larger area than the school. She is correct.
Marci should win the debate.
If you get 17 out of 20 questions correct on your next test, what percent of the test you answer incorrectly?
Answer: 85%
Step-by-step explanation:
You can use proportions to solve this answer.
17/20=x/100
Solve for X
17(100)/20=x
85=x
Answer:
15% incorrect
Step-by-step explanation:
17/20 = x/100
17 ×5= 85
20×5 = 100
85/100 correct
15/100 incorrect
75 - 4 × (4 - 2)3
AHHH HELP!
Answer:
75−4(4−2)^3
=43
Mr. Wilson wants to build a square roof for his square deck in the back yard.
The roof will be 12 feet long on each side. He uses the formula (A = s) to
find the area of the roof. What will be the area of the square roof on Mr.
Wilson's deck? (give only the number value of your answer) *
Answer:
The area of the square roof is 144 square feet.Step-by-step explanation:
Givens
He wants to build a square roof.The roof will be 12 feet long.We know that the area of a square is
[tex]A=s^{2}[/tex]
Where [tex]s=12 \ ft[/tex], according to the problem.
Replacing this value, we have
[tex]A=(12 \ ft)^{2} =144 \ ft^{2}[/tex]
Therefore, the area of the square roof is 144 square feet.
Answer: the area of the roof is 144 feet squared for each side (up and down), adding to a total of 288 ft^2
Step-by-step explanation:
If the roof is a square with a side lenght L = 12 feet, then we use the fact that the area of a square is equal to the square of the side lenght of the square, this is:
A = L^2 = (12 ft)^2 = 144 ft^2
Now, Mr. wilson uses the equation A = s, this is because the roof has 2 surfaces, one up and one bottom, then the total area is 2 times the value that we find earlier:
2*144 ft^2 = 288 ft^2
Please help me!!!!!!!
Answer:
Is A I think
Step-by-step explanation:
I hope this was helpful I did it on my book :)
Steve built a square hamster pen that has a perimeter of 240 centimeters What is the length of one side of Steve’s hamster pen?
Answer:
60
Step-by-step explanation:
since its a square, and has four sides then you would divide total length by four to find the length of each side
The perimeter of a square garden is 52 feet. What is the length of each side?
Answer:
13
Step-by-step explanation:
13*4=52