Answer:
[tex]5\sqrt{10} +70[/tex] ft
Step-by-step explanation:
AREA = LENGTH x WIDTH
[tex](-5\sqrt{2}+5\sqrt{5})(3\sqrt{2} +4\sqrt{5} )[/tex]
[tex]-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)[/tex]
[tex]-30-5\sqrt{10} +100[/tex]
[tex]5\sqrt{10} +70[/tex]
Important things to keep in mind:
[tex]\sqrt{2} (\sqrt{2} )=2(2)=4[/tex] Radical goes away (same #)[tex]\sqrt{2} (\sqrt{5})=\sqrt{10}[/tex]The recursive formula for an arithmetic sequence is:
{a1 = -6
{an-an-1+2
What is the 3rd term in the sequence?
A. - 2
B. -4
C. -10
D. -18
find the measure of angle m and give your reasons for each step
Answer:
m=56
Step-by-step explanation:
So look at the angles. I learned this in geometry like 2 years ago. I believe it was the opposite angle theorem or the alternate exterior or interior angles. You should look on the internet about that.
The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M
What is the value of M?
Answer:
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ghanami
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2.9K answers
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hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20
the center is : w(8,-3) and ridus : r = √20
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
please answer with steps
Answer:
9 litres
Step-by-step explanation:
the volume (V) of the tank is calculated as
V = lbh ( l is length, b is breadth , h is height )
here l = 60 cm, b = 15 cm, h = 10 cm , then
V = 60 × 15 × 10 = 9000 cm³
using the conversion 1 litre = 1000 cm³ , then
V = 9000 ÷ 1000 = 9 litres
Answer:
9 liters
Step-by-step explanation:
It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...
L = 6 dm, W = 1.5 dm, H = 1.0 dm
Then the volume is ...
V = LWH
V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L
9 liters of water are needed to fill the empty tank.
Find the length of the midsegment of the trapezoid.
Answer:
MN=66.5
Step-by-step explanation:
Add 57 and 76, then divide by 2.
Salim receives a gift card for a bookstore. He does not know the value of the gift card.
Salim buys a book for $7.50. Then he has $12.50 remaining on the gift card.
• What is the unknown in this situation?
*) the price of the book
the amount of money remaining on the gift card
the amount of money on the gift card when Salim receives it
Answer:
1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20
Step-by-step explanation:
what is the slope of a line (0,2) (-1,-3)
Answer:
The slope of the line is 5.
Step-by-step explanation:
You need to use the slope formula.
Slope Formula: y2 - y1 / x2 - x1
Your coordinates: (0,2) and (-1, -3)
Do -3 - 2 / -1 - 0
This is because the -3 is your y2 and the 2 is your y1
**Same goes with x but different numbers since it is the x coordinates.**
Now, do -3 - 2 first.
The negatives turn into a positive meaning you have to add the two.
But the bigger number 3 is negative so, your answer should contain a negative.
-3 -2 = -5
Do -1 - 0
This should be an addition problem but contain a negative answer.
-1 -0 = -1
-5/-1 as final.
The negatives cancel, and 5/1 is 5
Your slope is 5.
Answer:
The slope of the line is 5
Step-by-step explanation:
Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y₂ = -3
y₁ = 2
x₂ = -1
x₁ = 0
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]
Hope this helps!
Can someone please answer this for me i will mark you the brainliest
A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder
A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.
Answer:
B!
Step-by-step explanation:
2 times pie times 6 times 6 plus 11 equals 640.9
What’s the answer????
Answer:
i think its c
Step-by-step explanation:
sorry if im worng
Answer i believe its a or d
Step-by-step explanation:
im not to sure but i did try to do the math on it so.
Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
match the function equations to their graphs. please help!
Answer:
y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.
Step-by-step explanation:
Un numero disminuido en 18 es igual a uno. Cual es el nume
Answer:
19
Step-by-step explanation:
18 + 1 = 19
pls help me on this i dont get it i wasnt trached this aswell
Answer:
answer below.
Step-by-step explanation:
1. 1/5----0.2
2. 1/3---0.3 repeating
3. 1/2---0.5
4. 7/10---0.7
5. 3/4---0.75
solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]
thankyou ~
Answer:
Hi there!
Given equation :-[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]
Now=> By splitting the middle term
=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]
=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]
=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]
We get ,=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]
[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]
Thank you!
Answer:
[tex]a = 3 \: \: \: and \: \: a = 2[/tex]
Step-by-step explanation:
⬇
[tex]a^{2} - 3a - 2a + 6 = 0[/tex]
⬇
[tex]a \: (a - 3) \: \: (a - 2)[/tex]
⬇
[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]
Please help me with this
Answer:
8. 133°
9. 124°
Step-by-step explanation:
Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.
8) 94 + 39 = 133
180 - 133 = 47
47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.
180 - 47 = 133°
9)
81 + 43 = 124
180 - 124 = 56 (interior angle)
180 - 56 = 124° (exterior angle)
IM STUCK CAN SOMEBODY SOLVE EQUATION
x is bigger than y. The difference between x and y is 18. Find x and y.
Answer:
x can be 20
y can be 2
Step-by-step explanation:
i hope i will help you
Tom has 267 marbles, He shares the marbles out between himself and his two friends How many marbles does
each get? How many left over ?
Answer:
Each get 89 marbles and the leftovers are 0
Step-by-step explanation:
We have to ditribute the 267 marbles for 3 people so divide 267 by 3:
[tex]\frac{267}{3}[/tex] = 89
So each one gets 89
The leftovers are 0 because 267 is divisible by 3, means that if we divide 267 by 3 we will get a natural number ( no decimal part/ remainder=0)
remainder=0 → leftovers=0
Jim can't remember the last digit of his best friend's phone number. He plans to just dial the number and guess the last digit. What's the probability that he'll dial the correct number in the first 2 tries?
a) 1/10
b) 1/45
c) 17/10
d) 1/5
e) 2/5
Answer:
D.
Step-by-step explanation:
1) the required probability can be calculated as sum of two probabilities:
P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;
2) p1=1/10; p2=1/9, then the required probability:
P=1/10 + 1/9 ≈ 1/5.
Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
GIVING BRAINLIEST
What is the measure of angle x?
40 degrees
80 degrees
130 degrees
140 degrees
Answer:
140 degrees
Step-by-step explanation:
Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.
To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.
[tex]180-40=140[/tex]
Therefore, the answer is 140 degrees.
Answer:
my test said 140
Step-by-step explanation:
Find the points on the ellipse
3x2 + y2 = 3
that are farthest away from the point (1, 0).
This question has to do with the Mathematical sub-topic in Geometry called Ellipse.
What is an Ellipse in Maths?An ellipse is a circle that has been stretched in one direction so that it is no longer symmetrical but oval in shape.
How does one find the points on the ellipse?Let us assume that the points on the ellipse is (cosθ, √3 sinθ)
Next let's minimize their distance squared from (-1, 0) taking a point on the ellipse as (cos θ- -1)² + (√3 sin θ)² =
cos²θ + 2cos θ + 1 + 3 sin² θ
(Substituting sin² θ + cos² θ = 1)
2 + 2 cos θ + 2 sin² θ
The derivative is given as
-2 sin θ + 4 sin θ cos θ =
-2 sin θ (2 cos θ - 1)
The above translates to 0 at sin θ = 0 or cos θ = 1/2, which results in 0°, 180°, 60°, 300°
Assuming we re-write the first derivative as - 2sin θ+ 2sin 2θ, the second derivative becomes:
-2 cos θ + 4 cos 2 θ
At 0°, 180°, 60°, 300°, we get 2, 6, -3, -3.
Therefore, our relative minima is given at 0°, 180°, while the relative maxima at 60°, 300°.
It is safe to declare, therefore that due to the nature of the function, the global minima and maxima will be among the four locations indicated above.
In addition to that,, 180° is the global minimum. This is because it is at the actual point, while 60° and 300° give the same value of the distance squared, thus both will each be maxima.
(cos θ, √3 sin θ) at 60°, 300° is (1/2, 3/2) and (1/2, -3/2)
Learn more about Point on Ellipse at:
https://brainly.com/question/4399570
See the definition of a circle here:
https://brainly.com/question/8952990
10 POINTS ALL FOR YOU IF YOU ANSWER IT
Answer:
x is equal to 30
<ABC is equal to 100°
<DBC is equal to 80°
Step-by-step explanation:
3x +10 +2x +20 =180
5x = 180 - 10- 20
5x = 150, divide both sides by 5
x is equal to 30
<ABC = 3x + 10 = 3 × 30 + 10 = 100°
<DBC = 180 - <ABC = 180 - 100 = 80°
Evaluate the expression: 4x - 2y if x is 7 and y is -3
Plug in the values of the variables:-
[tex]\sf{4x-2y}[/tex]
[tex]\sf{4(7)-2(-3)}[/tex]
[tex]\sf{28+6}[/tex]
[tex]\sf{34}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
34
Step-by-step explanation:
We have to find the value of the expression ( 4x - 2y ).
Also, given that,
x = 7
y = -3
So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.
Let us solve it now.
4x - 2y
4 × 7 - 2 × -3
28 + 6
34
A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size
Answer:
333.3 years
Step-by-step explanation:
The formula
I = PrtCondition
I needs to equal 10 x PSolving
I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 yearsFind the exact value of tan(-pi/12)
Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)
answer: -2 + sqrt(3)
Divide.
3/7 ÷ 4/7 = ???
A.
1 1/3
B.
5/14
C.
9/11
D.
3/4
Answer:
3/4
Step-by-step explanation:
Give brainliest if it helped...(:
CAN SOMEONE HELP ME PLEASE
Answer:
the answer is -4
Step-by-step explanation:
you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.
The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?
Step-by-step explanation:
Length = 94 cm
breadth = ?
Perimeter = 298 cm
Now..............
Perimeter = 2 ( l + b )
298cm = 2 ( 94 cm + b )
298 / 2 = 94 + b
149 cm = 94 + b
b = 149 - 94 cm
b = 55 cm
Answer:
Value of it's width is 55 cm .Step-by-step explanation:
In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,
[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]
Where ,
l = length of rectanglew = width of rectangleNow , we are substituting value of length and equating it with given perimeter :
[tex] \longrightarrow \: 2(94 + w) = 298[/tex]
Now, our last step is of calculations . So from here we are calculating ,
[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]
[tex] \longrightarrow \: 94 + w= 149[/tex]
[tex] \longrightarrow \: w = 149 - 94[/tex]
[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]
Therefore, width of rectangular painting is 55 cm .#Keep Learning