Answer:
The length of the rectangular plot is 30 m
Step-by-step explanation:
Mathematically, the area of a rectangle is the product of its length and width
Let us have the length as x m ; for the length to be 9/2 of the breadth, it means the breadth is 2/9 of the length
so we have the breadth as 2/9 * x = 2x/9
The product of the two equals the area which is 200 square meters
thus, we have it that;
x * 2x/9 = 200
2x^2 = 9 * 200
x^2 = 1800/2
x^2 = 900
x = √900
x = 30 m
Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure
Answer:
D. Closure
Step-by-step explanation:
D. Closure
Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is
Answer:
1/22
Step-by-step explanation:
2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22
[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = [tex] \frac{5}{22} [/tex]
✎ One of the number = [tex] \frac{2}{11} [/tex]
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex]. ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢ \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
The volume of the kiosk is 72 m³.
Step-by-step explanation:
The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):
[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]
Where:
r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m
d: is the diameter = 5 m
[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m
[tex]h_{c}[/tex]: is the height of the cone = 2 m
Hence, the volume is:
[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]
Therefore, the volume of the kiosk is 72 m³.
I hope it helps you!
2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.
Answer:
21.4
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]
[tex]\huge\bold{Given:}[/tex]
Length of the base "b" = 17 yd.
Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]
The length of the missing side, hypotenuse ("c").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\boxed{C.\:21.4\:yd}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Please solve and show me how you solved it
Answer:
Step-by-step explanation:
(x^a)^b=(x)^{a×b}
x¹² would be the answer. The 3 and 4 multiply together. x( ⁴ * ³) = x¹²
Please help ASAP!!!!!
Answer:
SHORT ANSWER IS B.
Angles in a triangle add up to equal 180 degrees
Hence, 40x - 27 + 25 - 2x + 26 + x = 180
( Note that we just created an equation that we can use to solve for x)
We now solve for x using the equation we created
40x - 27 + 25 - 2x + 26 + x = 180
Combine like terms
39x + 24 = 180
Subtract 24 from both sides
39x = 156
Divide both sides by 39
5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.
Answer:
m = 5, n = 2
Step-by-step explanation:
[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]
angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I
Answer:
42°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
1) 90-48 = 42
Hope this helps! :)
Answer:
angle I = 42 degree
Step-by-step explanation:
In complementary angles sum of two angles ia always 90 degree.
angle I +angle N=90 degree (since they are complementary)
substitute the value of angle N
angle I + 48 = 90
angle I = 90 -48
angle I =42 degree
Jim writes 10^4 words every day how many words does he writes in 10^3 days?
Connor needs to buy 430 orange balloons for a party. The orange balloons are sold in packs of 6. If he buys the smallest possible number of packs, how many balloons will be left over?
Answer:
2 balloons.
Step-by-step explanation:
6x = 430
x = 71.6
He has to buy 72 packs, there will be:
72 * 6 = 432 - 430 = 2 balloons left.
So there’s two cell phones the length on first is 8.4 inches the width on the first cell phone is 5.6 inches. On the second cell phone the length is 9.21 inches. The length and width of the two cell phones are proportional. What is the width, inches of the larger of the cell phone?
Answer:
The width, in inches of the larger cell phone is 6.14 inches.
Step-by-step explanation:
To solve we must set up a ratio.
[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]
After setting this ratio up, we can cross multiply to solve for y.
8.4(y) = 5.6(9.21)
8.4(y) = 51. 576
To get y alone we divide by 8.4 on both sides.
y = 6.14
The width, in inches of the larger cell phone is 6.14 inches.
simplify ,without using a calculator(2 1/2)2 + (0.5)2
Answer:
22
Step-by-step explanation:
Step-by-step explanation:
2 1/2 × 2
=5/2 × 2
=5
(0.5)2
=0.5×2
=1
5+1
=6
The solution is n=-2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
Answer:
- 0.8 = - 0.8
n = - 2 is a solution.
Step-by-step explanation:
1.4n + 2 = 2n + 3.2
1.4(- 2) + 2 = 2(- 2) + 3.2
- 2.8 + 2 = - 4 + 3.2
- 0.8 = - 0.8
How to solve
1.4n + 2 = 2n + 3.2
1.4n + 2 - 2 = 2n + 3.2 - 2
1.4n = 2n + 1.2
1.4n - 2n = 2n - 2n + 1.2
- 0.6n = 1.2
- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6
n = - 2
2sin^2x+7sin x.cosx-cos^2x=4
Step-by-step explanation:
haiajajiqbqkqiebblbajwvwjnw
help asap will mark brainliest !!!!!!
Question 12(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?
40
41
42
43
Answer:
4²
Step-by-step explanation:
simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.
Answer:
4^2
Step-by-step explanation:
(4^4*4^3)/4^5
4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add
4^7/4^5
4^7-5
= 4^2 Because..
another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
220
27.5
110
15.8
Answer:
x = 27.5
Step-by-step explanation:
x/55 = 4/8 (ratio between the two polygons); cross multiply.
220 = 8x; divide 8 on both sides
x = 27.5
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answer:
The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.
Hope this answer is right!!
Answer:
Width: 13
Area: 42
Step-by-step explanation:
A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because
29+29=58
84-58=26
And 26/2=13
It's urgent I need help quick pls help me
Answer:
11
Step-by-step explanation:
16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5
= 16 - 5
= 11
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer:
No.
Step-by-step explanation:
33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.
Answer:
no , it is not a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
33^2 + 56^2 = 66^2
1089 + 3136 = 4356
4225 = 4356
since both sides are not equal it can be concluded that the given side lengths does not form right triangle.
Which input value produces the same output value for the two functions on the graph?
x = –3
x = –1
x = 1
x = 3
Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.
PLS HURRY!! Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.
Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45
She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.
Answer:
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce
Step-by-step explanation:
divide the price by the the number of ounces.
2.55/12 = .21
1.45/8 = .18
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
please help me help help help
xy+xb+ya+ab = 32
x(y+b) + a(y+b) = 32
(x+a) (y+b) = 32
4.(y+b) = 32
(y+b) =32/4
(y+b) = 8
OPTION C
which graphs represent functions
A. Graph D only
B. Graph B and Graph D
C. Graph C and Graph D
D. Graph A only
Answer: C i believe
Step-by-step explanation:
Answer:
the option answer is B
Step-by-step explanation:
the is the answer because it represents functions
Please help me find the answer
X/4- 3 = 9
the / means divided
Answer:
48 x means 48
Step-by-step explanation:
48/4= 12
12-3=9
/ means divided
PLEASE HELP ME WITH THIS ITS DUE TONIGHT
BE HONEST WITH YOU ANSWER AND EXPLAIN HOW YOU GOT IT PLEASE
THANK YOU
Answers:
Angle C = 95 degreesAngle D = 72 degreesAngle F = 108 degreesArc CFE = 216 degrees================================================
Explanations:
For any inscribed quadrilateral like this, the opposite angles are always supplementary. So that means C+E = 180. Plugging in E = 85 leads to C = 95.Angle D is an inscribed angle that subtends arc CFE. By the inscribed angle theorem, the inscribed angle is half that of the arc it cuts off, so angle D is half of 144 degrees at 144/2 = 72 degrees.Use the idea mentioned in problem 1. So we'll have F+D = 180. Plug in D = 72 to find that F = 108.Arcs CDE and CFE form a full circle. So the arc measures must add to 360 degrees. We simply subtract 144 from 360 to get the answer 216. As an alternative, you can use the idea mentioned in problem 2, but work in reverse.Perform the following operation: -3+6
Answer:
3
Step-by-step explanation:
it is a correct answer .................
Answer:
The answer would be 3
David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David
Answer:
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
Step-by-step explanation:
Se queda 2000 Córdoba
Gasta el 20% de su salario para pagar los servicios básicos de su casa.
Gasta el 50% de su salario en comida.
Suponga que gana x cantidad
luego
x = 0,2x + 0,5x + 2000
x = 0,7x + 2000
x-0,7x = 2000
0,3 veces = 2000
x = 2000 / 0,3
x = 6666,67
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
He keeps 2000 Córdoba
He spends 20% of his salary to pay for the basic services of his hous.
He spends 50% of his salary to pay on food.
Suppose he earns x amount
then
x= 0.2x+0.5x+2000
x= 0.7x+2000
x-0.7x=2000
0.3x= 2000
x= 2000/0.3
x= 6666.67
English
He earns 6666.67 Córdoba out of which
he spends 3333.33 on food and 1333.33 on services .
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
Answer:
White 47 percent, 23 percent blue 30 percent red.
47+23+30=100 percent
Step-by-step explanation:
So to get the percentages you first have to get the numbers that you need in this case it is 47,30,and 23.
After that we have to first multiply the numbers(47,30,23)by 100 because
100 hundred is our total percent so 47x100=4700 30x100=3000
and 23x100=2300.And 47x100=4700 30x100=3000
and lastly 23x100=2300.So after we multiply the numbers by 100 hundred we have to divide so we see there's 100 cars so we divide by that because that is the total amount of cars and if we divide all our numbers by 100 we will get the answer,
4700/100=47 percent 3000/100=30 percent 2300/100=23 percent
and to check our answer is right we have to add all our number percentages up to see if all the numbers add up to 100.(percentage)so 47+30+23=100
So that means our answer is right.