The length of fencing required is 34.34 feet.
Data;
Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feetPerimeter of the GardenTo find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.
[tex]P = 2(L + W)[/tex]
We can substitute the values in the formula of perimeter above and proceed to solve.
[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]
The length of fencing required is 34.34 feet.
Learn more on perimeter of a rectangle here;
https://brainly.com/question/12274271
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces? I will branliest to who ever answers first!
Answer:
He should have got 40
Step-by-step explanation:
680 / 45 = 15.11
45 x 16 = 40
help on this please.
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
the height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. which measurement is closest to the volume of cylinder in cubic cintemeters
a: 251.3
b: 4,021.2 cm
c:251.3 cm
d:628.3 cm
Answer:
Should be 251.3 cm^3
Step-by-step explanation:
Use the formula for volume of cylinder
find the equation of the line
please help
Answer:
y=4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.
We need to find the slope and y-intercept.
To find slope we will do rise/run
If we start from (3,3) and go up 4 and over 1 we get to (4,7)
4 over 1 is also 4
So m=4 or slope is 4
Now lets find the y-intercept
We can plug in our values and solve for b
3=4*3+b
3=12+b
-9=b
y-intercept is -9
so our answer will be y=4x-9
Answer:
y = 4x -9
Step-by-step explanation:
The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.
Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-5))/(2 -1) = 4/1 = 4
The formula for the y-intercept can be used with the first point:
b = y -mx
b = -5 -4(1) = -9
Then the equation of the line y = mx +b is ...
y = 4x -9
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards brandon currently uses. card a card b amount $1,463.82 $1,157.98 apr 13% 17% monthly payment $24.60 $22.14 after 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44 please select the best answer from the choices provided. a b c d
The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.
The table below shows the information about the two credit cards Brandon currently uses.
Cards Amount APR Monthly PaymentCard a $1,463.82 13% $24.60Card b $1,157.98 17% $22.14
Interest rate for the card a is,
[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]
The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,
[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]
In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,
[tex]P_a=19.47\times96=1869.12[/tex]
For the card B the monthly payment is $22.14. Thus the total payment by card B is,
[tex]P_b=22.14\times96=2125.44[/tex]
The difference in the payment is,
[tex]d=2125.44-1869.12\\d=256.12[/tex]
Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
Learn more about the monthly payment here;
https://brainly.com/question/2151013
Answer:
C. 256.32
Step-by-step explanation:
only 4 b and c please
Answer:
a) 2L + 2W = 42
b) L = 2W + 3
c) The system is :
2L + 2W = 42
L - 2W = 3
( add the two equations )
3L + (2w - 2w) = 45
3L = 45
L = 45/3
L = 15 ( Length )
L - 2W = 3
15 - 2W = 3
2W = 15 - 3
W = 12/2
W = 6
please help ive been on this question for hours
Answer: 52.4
Step-by-step explanation:
Answer:
π\3 ≈ 1.0 in²
Step-by-step explanation:
area of a full circle= 2πr = 2π(10) = 20π
central angle of full circle= 360°
area of the shaded region= ?
angle of shaded region= 60°
[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]
The terminal side of an angle measuring StartFraction pi Over 6 EndFraction radians intersects the unit circle at what point?.
Thee intersection point of the terminal side which measure the angle pi/6 radians is (0.886, 0.5).
What is the meaning of a circle?A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.
The distance from the center to the circumference is called the radius of the circle.
Given that the terminal side of an angle measuring π/6 radians.
The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by
x = r cos∅ and y = r sin∅
Let the r be unity.
Then, x will be
[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]
The variable y will be
[tex]y=sin\frac{\pi }{6}[/tex]
y=0.5
Thus, the intersection point is (0.886, 0.5).
To learn more about the circle visit:
https://brainly.com/question/24375372
Find the value of x. 136° (8x + 40) (The figure is not to scale.)
Answer:
x= 12
Step-by-step explanation:
Hope u understood it
"PLEASE MARK ME THE BRAINLIEST"
It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?
Answer:
Miami
Step-by-step explanation:
First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.
I will convert Miami's temp, to farenheit:
[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]
Miami: 95°F
Chicago: 75°F
Therefore, Miami is the warmer town.
Hope this helps!
Write the amount in standard scientific notation.
1.72E-3 millimeters
[?]x[ ]^ millimeters
Answer:
1.72e-3 = 1.72 x 10-3 = 0.00172
Step-by-step explanation:
72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler
PLEASE HELP
One number is 4 more than another number. If the greater number is x, what is the other number?
Answer:
12
Step-by-step explanation:
it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.
i hope i got it right just tell me if this is wrong, please
The expression for the smaller number is q = x - 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the greater number be p = x
Let the smaller number be q
If the greater number is x, then the other number must be 4 less than x.
We can express this algebraically as:
On simplifying the equation , we get
q = x - 4
Hence , the other number is x - 4.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
10788 divided by 31 what it the answer
Answer:
348
Step-by-step explanation:
hope this helps
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
Step-by-step explanation:
about circle R
arc angle MP = angle MRP = 78°
angle M = angle LMP.
according to the rules of inscribed angles, LMP is half of angle LRP.
LRP + MRP = 180° because together they cover the whole LM segment (half-circle).
LRP = 180 - MRP = 180 - 78 = 102°
so, LMP = angle M = 102/2 = 61°
also circle R (with arc ULNP)
the arc ULNP = arc UL + arc LN + arc NP = 160°
due to the congruent definition of JU and MP we know that arc UL = arc NP.
and we know arc LN = arc JM = 18°.
so,
160 = 2×arc NP + 18
142 = 2×arc NP
arc NP = 71° = arc UL
now, because arc MP + arc LP = 180 (half-circle),
arc MP = 180 - arc LP = 180 - arc LN - arc NP =
= 180 - 18 - 71 = 91°
about the circle R with 2 congruent chords :
the second answer : they are equidistant from R (the center of the circle).
about circle W
arc MK + arc KL = 180° (half-circle).
and we see
arc HL = arc KL = 53°.
so,
arc MK + 53 = 180°
arc MK = 180 - 53 = 127°
about circle M
arc QTS = 204°.
therefore, arc QRS = 360 - arc QTS = 360 - 204 =
= 156° = angle QMS.
according to the rules of inscribed angles
angle QTS = QMS/2 = 156/2 = 78°
Hello people ~
factorise↷
x^2 + 4x –21
Let's see
[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]
[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]
[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]
[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]
pls help!! does anyone know the answer??? :)
Step-by-step explanation:
1-(a)
2-(c)
3-(d)
4-(b)
I hope it helped you
If u didn't understand anything pls ask in comment
How can this expression be written another way?
60x−24
Factor using the distributive property and the greatest common factor to write an equivalent expression.
Enter your answer by filling in the boxes.
60x−24= __ (__)
Answer:PLEASE BRAINLIEST
factor using 12 (gcf)
12(5x-2)
1:30 hours + 40 min + 40 min + 2:05 hours
How many hours will this be?
Answer:
4:55 hrs :)
Step-by-step explanation:
1:30 hours + 40 min + 40 min + 2:05
1:30 hrs + 1:20 hrs + 2:05 hrs
2:50 hrs + 2:05 hrs
4:55 hrs
Have an amazing day!!
Please rate and mark brainliest!!!
How do I solve for x and y?
Answer:
x = 69y = 21Step-by-step explanation:
To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.
__
The angles created by the diagonal at the lower left vertex are congruent:
y° = 21°
__
The angles x° and y° are complementary:
x° = 90° -21°
x° = 69°
The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=
Answer:
k= -5
Step-by-step explanation:
The equation for slope is rise over run which is also (y2-y1)/(x2-x1)
with the given coordinate being (x,y)
So, we just plug the given values into the equation in order to solve for k.
(9-k)/(-6-1)= -2
First let's simplify the denominator:
(9-k)/(-7)= -2
then we get rid of the denominator by multiplying it on both sides:
(9-k)= (-7)*(-2)
(9-k) = 14
-k = 5
k=-5
find the HCF of
[tex]5x {}^{2} - 125,x {}^{2} + 25and - 10x[/tex]
Answer:
Step-by-step explanation:
5x^2 - 125 factors into 5 (x^2 - 25)
x^2 - 25 factors into (x + 5)(x - 5)
So the answer to this part is 5(x + 5)(x - 5)
x^2 - 10x + 25 factors into
(x - 5)(x - 5)
So the HCF is (x - 5)
What is the length of the hypotenuse? 5 and 4in
Answer:
1 foot
Step-by-step explanation:
you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot.
KM and NP are parallel lines. which angles are supplementary angles?
Supplementary angles = The angles add up to 180 degrees / form a straight line.
Angle KLO and angle KLJ form a straight line -> they are supplementary angles.
I need help with this
Can someone please help me I’m stuck
2x=3
x=3/2 =1.5
I don’t know if I’m right
Answer:
A: geometric; 4 times
B: arithmetic: 4 more
Step-by-step explanation:
An arithmetic model is a linear model, where the rate of change is constant. Growth or decay is by a constant amount from one interval to the next.
A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.
__
A)The equation for the sequence is given in "explicit" form:
[tex]A_n=2^{2n}[/tex]
The exponent can be split so this can be rewritten as ...
[tex]A_n=(2^2)^n=4^n[/tex]
If this were written in recursive form, it would look like ...
[tex]A_0=1,\ A_n=4\times A_{n-1}[/tex]
The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.
__
B)The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.
_____
Additional comment
In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.
as part of a design project, hassan wants to put moroccan tiles side by side along the edge of his counter. each tile has a side leanth of 0.15 meter. the edge of the counter is 3 merters longhow many tiles does hassan need.
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
Learn more about the tile's length on:
https://brainly.com/question/11957100
#SPJ2
Answer: 20 tiles.
Step-by-step explanation:
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?
The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
How many sides does a dodecahedron have?
Answer:
A dodecahedron has 12 sides
Step-by-step explanation:
Hope that helps!
How do I write 5 2/5 as a fraction greater than one
Answer:
27/5
Step-by-step explanation:
because If you do 5 2/5 = ? you get 27/5
Shawn is typing a paper for class. He can type 1 5/14 pages in 1/3 of an hour. How many pages can shawn type in one hour?
Answer:
4 1/14
Step-by-step explanation:
1 5/14 x 3 = 4 1/14
Answer:
4 1/14 pages
Step-by-step explanation:
multiply 1 5/14 by 3
start by multiplying 1 by 3 which is 3
then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14
add 3 and 1 1/14 and you get 4 1/14