The number closest to 0 is the number whose absolute difference from 0 is the smallest
0.5 is the closest number to 0
How to determine the closest to 0The numbers are given as:
–4, 3, 0. 5, 1
Calculate their absolute difference with 0
|-4 - 0| = 4
|3 - 0| = 3
|0.5 - 0| = 0.5
|1 - 0| = 1
The smallest absolute difference is 0.5
Hence, 0.5 is the closest number to 0
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Please help
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Look at the picture above and the picture also asks How many seconds did it take the paper airplane to reach the ground ?
Please write at least 2 sentences explaining thank you!
Answer:
It would take the plane 3 seconds to reach the ground. Yhis is because after three seconds y=3.
What fraction of 5 is 3?
Step-by-step explanation:
5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.
So the Proper Factored Form=1+2/3=1 2/3.
In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)
The mathematical interpretation of "what fraction of 5 is 3?" is 5/3
First, we need to identify the numerator and the denominator
The numerator is the number on top of a fraction
The denominator is the number beneath a fraction
Since 3 is said to be a fraction of 5:
The numerator = 5
The denominator = 3
Fraction = Numerator / Denominator
Fraction = 5/3
Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3
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A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
Question 7
Find the distance between -2.5 and 1.8. (Draw a number line if necessary
to solve)
Answer:
-0.35
Step-by-step explanation:
(2.5+1.8)÷2 then minus from 1.8
4.3÷2=2.15
1.8-2.15= -0.35
use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)
Answer:
c. (6, 0)
Step-by-step explanation:
First, add y on both sides of the first equation, so it's easier to solve:
-x+y = 6
x+2y = 12
Then, add the 2 equations:
3y = 18
y = 6
Since c is the only one with a 6, we can deduce that the answer is c.
We can further check by plugging y back into the first equation:
-x+6 = 6
-x = 0
x = 0
This confirms that the answer is c.
I hope this helped.
Whoever is in UK, pls can u tell me the price for....
- 1 oz of gold
-1 oz of silver
Thanks
Answer:
The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.
What is the value of the positive zero of the function defined by 15x2 + 100x – 70 – (17x – 6x2)?
A.
eq115910_a1
B.
eq115910_b1
C.
eq115910_c1
D.
eq115910_d1
Answer:
hello
15 x² + 100 x - 70 - 17 x + 6 x²
= 9 x² + 83 x - 70
9 x² + 83 x - 70 = 0
Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²
x 1 = ( - 83 - 97 ) / 18 = - 180/18 = - 10
x 2 = ( - 83 + 97 ) / 18 = 14 /18 = 7 /9
Step-by-step explanation:
please help you will get brainiest!!!!!!!!!!
Answer:
g(x) has a larger slope
Step-by-step explanation:
If you look closely, g(x) has a slope of 5.
An ant walked 131millimeters directly toward a cookie crumb at a constant velocity. It took the ant 10.0seconds to walk that distance. What was the ant's velocity? Write your answer to the tenths place. ________millimeters per second directly toward the cookie crumb
Answer:
Velocity = 1.31 millimetres per second
Step-by-step explanation:
Given:
Total distance = 131 millimetres
Total time taken = 10 seconds
Find:
Velocity
Computation:
Velocity = Total distance / Total time taken
Velocity = 131 / 10
Velocity = 1.31 millimetres per second
Suppose B is the point (4, -2) and A is the point (-6, 3).
Find point C so that point B is the midpoint of segment AC
Answer: (14, -7)
Step-by-step explanation:
Which equation demonstrates the distributive property?
Answer:
C)
Step-by-step explanation:
The distributive property is
a(b + c) = ab + ac.
Choice C) shows the distributive property in reverse.
Answer: C)
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Between 1 and 1 1/2 pounds. (___)
Between 2 and 2 1/2 pounds. (__)
Answer:
Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)
Step 2 - Fill in the missing number:
2
1 -3 -10 24
a
a =
Answer:
First part: k=2
Second part: a=1
Third part: b=2 c=-1 d=-2
Forth part: x^2-x-12
Step-by-step explanation:
To make sure that a given parallelogram is a rectangle, at least hon many of
its angles must measure 90°?
A. Four
B. Two
C. Three
D. One
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"The Math"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Let consider given parallelogram be ABCD.
All of the angles of a parallelogram must be 90° for it to be a rectangle.
Let ∠A = 90°.
Since opposite angles of a parallelogram are equal
So, ∠C = ∠A = 90°
And adjacent angles are supplementary and their sum is 180°.
So, ∠A + ∠B = 180°.
∠B = 180°- ∠A = 180° - 90° = 90°
As we know that opposite angles of a parallelogram are equal
So, ∠D = ∠B = 90°.
If all four angles are right angles (90°), then given one angle = 90°.
To make sure that a parallelogram is a rectangle, at least one angle must be 90°.
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What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
18
Step-by-step explanation:
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A flower garden is shaped like a circle. Its diameter is 30 yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 36 yd.The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd², how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for π.)
We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags
Ans 51.8 bags
Area of CircleGiven data
Diameter of flower garden d = 30 ydDiameter of outer edge D = 36 ydNo of bags of sand = ??Area of path = Area of outer edge - area of garden
Area of path = πD^2/4 - πd^2/4
Area of path = 3.142*36^2/4 - 3.142*30^2/4
Area of path = 3.142*1296/4 - 3.142*900/4
Area of path = 4072.032/4 - 2827.8/4
Area of path = 1018.008 - 706.95
Area of path = 311.058 square yd
1 bag of sand will cover 6yd^2
x bags of sand will cover 311.058 yd^2
cross multiply we have
x = 311.058/6
x = 51.843 bags of sand
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Can you solve this problem
Answer:
Yes, 6.
Step-by-step explanation:
it says it on the picture?
Anyways,
21-3=18
18+18=36
36÷6=6
Answer: 21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6
Step-by-step explanation:
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
AB= 12m, BC= 16 cm and AD= 13 m.
Find the area of the shaded region.
Answer:
100π - (96 + (13/2)√231 ) m^2
Step-by-step explanation:
We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.
There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.
Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.
so 144 + 256 = 400
√400 = 20
So diameter is 20
Finding the area of the top triangle:
1/2(12x16) = 96cm^2
For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.
400 = 169 + DC^2
DC^2 = 231
DC = √231
so the area of the bottom triangle is 1/2(13√231) = (13/2)√231
Now we add the area of the triangles for the quadrilateral and subtract from the circle area.
The circle area is 100π (πr^2)
Hence, the area of the shaded region is:
100π - (96 + (13/2)√231 ) m^2
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta
Step-by-step explanation:
Need to FinD :We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]
Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
PQ = Opposite sideQR = Adjacent sideRP = Hypotenuse ∠Q = 90°∠C = θAs we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,
[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]
Since, we know that,
cosθ = 5/13QR (Adjacent side) = 5RP (Hypotenuse) = 13So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,
[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]
[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.
[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]
Where,
Opposite side = 12Hypotenuse = 13Therefore,
[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]
Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.
[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]
By substituting the values, we get,[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the required answer is 17/7.
wht is the scale factor of the dialation above plzzzzzzzzzzzzzzz help meeeeeeeeeeeee dont help no one else untill u help me thxs
Answer:
i believe its 1.75 (i had to relearn this)
Step-by-step explanation:
1.75 times 28= 49
1.75 times 20= 35
у =-x +7
what the slope?^
Answer:
-1
hope it helps
Answer:
-1
Step-by-step explanation:
I graphed it out and got the answer. Plz give brainliest if you got it
The price of Stock A at 9 A.M. Was $14.17. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $14.67. It begins to decrease at the rate of $0.16 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.63 hours
Step-by-step explanation:
We are told that at 9am, the price of Stock A was $14.17 and we are told it increases by $0.11 each hour.
Thus, for x hours, the price will be;
P_a = 14.17 + 0.11x
Now,by noon, it would have been 3 hours.
Thus;
P_a = 14.17 + 0.11(3)
P_a = 14.17 + 0.33
P_a = $14.50
Now, at that same noon, another product known as stock B had a price of $14.67. We are told it begins to decrease at the rate of $0.16 each hour.
Now, we want to find how many how many hours will the prices of the two stocks be the same. If the number of hours is x, this means that;.
14.5 + 0.11x = 14.67 - 0.16x
Rearranging,we have;
0.11x + 0.16x = 14.67 - 14.5
0.27x = 0.17
x = 0.17/0.27
x = 0.63 hours
One centimeter is 100 times bigger than a meter
True
False
Answer:
True
Step-by-step explanation:
1 Meter is equal to 100 centimeters
Answer: True
Explanation: 1 meter=100 cm
Diane made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.20. If the beads cost $2.90 for each necklace, how much did each pendant cost?
Answer:
what is the difference in length and the shortest length
What is the mean?
5, 10, 8, 9, 9, 9
TYPE ONLY THE NUMERIC ANSWER (Round to the nearest tenths place)
Answer:
8.3
Step-by-step explanation:
5+10+8+9+9+9=50
50/6=8.333333333333333333333333333333333333333333
=8.3
Answer:
The mean is basically the average.
In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.
in this case…
5 + 10 + 8 + 9 + 9 +9 = 50
There are 6 given values, which are 5, 10, 8, 9, 9, 9.
We divide 50 (the total number) by the given amount (6).
50/ 6 = 8.33333…
Your answer is 8.3
0.97 in word formation
Answer:
97 hundreths or 97 cents
Step-by-step explanation:
Answer:
97 hundredths.
Step-by-step explanation:
9 is in the tenths place, but that means .9 is also 9 hundredths. With the 7 in the hundredths place, .97 is 97 hundredths.
Hope this helps...have a great day! :3
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:V≈3015.93
Step-by-step explanation:this is the answer
Does the system of equations below have one solution, two solutions, three solutions or infinitely many solutions?
-3a + 24b + 9 = -111
a - 86 - 3c = 37
2a - 16b-6c = 75
А
1 Solution
B
2 Solutions
C No Solution
D
Infinitely many solutions
Answer:
B
Step-by-step explanation:
2 solutions because they is solution to it
The table shows the amount of money earned by three brothers doing chores. If Gary and David earned the
same amount of money, how much did Jason earn?
Answer:
x=12
Step-by-step explanation: