Answer:
I. Circumference of circular flower bed = 31.42 ft.
II. Area of circular flower bed = 78.55 ft²
Step-by-step explanation:
Given the following data;
Diameter = 10 ft
Radius = diameter/2
Radius = 10/2
Radius, r = 5 ft
I. To find the circumference of the circular flower bed;
Circumference of circle = 2πr
Substituting into the formula, we have
Circumference of circular flower bed = 2*3.142*5
Circumference of circular flower bed = 31.42 ft
II. To find the area;
Area of circle = πr²
Substituting into the formula, we have;
Area of circular flower bed = 3.142*5²
Area of circular flower bed = 3.142*25
Area of circular flower bed = 78.55 ft²
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
is this right. ......... I need help
Answer:
yes those all seem to be correct, A, B, and D are the ones that are correct
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.
Answer:
The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".
Step-by-step explanation:
Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex]. This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex] In the i-th to J-th hour, the Wrestler played only 24 match-ups.
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
Answer:
Please provide the statements.
Step-by-step explanation:
Answer:
the equation has one anser
Step-by-step explanation:
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *
Answer:
45
Step-by-step explanation:
sally had 21 marbles her friendgave her some more.she then had 35 marbles. write an expression that shows how many marbles she had.
Answer:
21 + x = 35
x = 14
Hope this helps :)
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!
Answer:
500 + (40x)
Step-by-step explanation:
she already has 500 in her bank account and there are multiple weeks. 40 dollars per week would be 40x since we don’t know how many weeks. then put it in an equation!
Answer:500 + 40w = m
Step-by-step explanation:
500 is the amount you had already then you add 40 per a week so you times that by w depending on the weeks and m is money overall.
this should be the answer
Hoped this helped
3) The volume of a cube is 1,000 cu. in. What is the height of the cube? (Remember what is true about a cube!)
Answer:
10 inches
Step-by-step explanation:
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
12 Terrel says 5x = 5x + 0. Johnny says 5x = 5x .0. Which person is correct?
A Johnny
B Terrel
C Both are correct
D Neither are correct
Answer:
c
5x=5x so when five Cross the=sign
5x-5x=0
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
Select the value of x that makes the equation
“-3(x + 10) + 2x = 30” true.
1. 60
2. 0
3. 30
4. -60
5. -20
Answer:
-60
Step-by-step explanation:
-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication. Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)
find the value of x. Pregunta matemática
Answer:
Ejercicios Resueltos
ANGULOS
1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en
grados?
Solución:
2x x 90 += °
3x 90
x 90 / 3
x 30
= °
= °
= °
2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?
Solución:
5x+x=180
6x=180
x=180 /6
x=30
°
°
°
°
3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya
diferencia es 10 .
°
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 10
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 100
x 100 / 2
x 50
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación: 50 y 90
y 90 50
y 40
°+ = °
= °−
= °
°
∴La solución al problema es x 50 , y 40 =°= °
°
4. Hállense dos ángulos complementarios tales que su diferencia sea
30° .
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 30
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 120
x 120 / 2
x 60
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación:
60 y 90
y 90 60
y 30
°+ = °
= °−
= °
∴La solución al problema es x 60 , y 30 = °= °
°
5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor
que el otro.
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 180
x y 20
+= °
=+ °
-Resolvemos el sistema:
(y 20 ) y 180
2y 180 20
2y 160
y 80
+ °+ =
= °− °
= °
= °
-Hacemos la sustitución del valor encontrado de y en la primera
ecuación: x 80 180
x 180 80
x 100
+ °=
= °−
= °
°
°
∴La solución al problema es:
x = °= ° 100 , y 180
TRIANGULOS
1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente
triángulo?
Solución:
Nota: La suma de los ángulos interiores de los triángulos es
180° .
((( A B C 180 ++= °
3x 5x 4x 180 ++ = °
12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
x 15 = °
∴( ( A 45 , B 75 ,C 60 =° =°= °
°
°
°
°
°
°
2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?
Solución
a) Ángulo extendido
( ( B CBR 180 + = Esto debido a que son ángulos suplementarios
(B 15x 60 180 + − °=
(B 180 60 15x = °+ °−
(B 240 15x = °−
b) Suma de los ángulos interiores del triángulo
((( A B C 180 ++=
3x (240 15x) 4x 180 + °− + =
7x (240 15x) 180 + °− =
− + °= 8x 240 180− =− 8x 160°
x 7.5 =
∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
3.- Escribe la definición de bisectriz del triángulo.
Es la semirrecta que biseca el ángulo, es decir, divide el ángulo
en dos ángulos congruentes.
4.- ¿Qué es la mediatriz de un triángulo?
La mediatriz de un lado de un triángulo (y en general de un
segmento de recta), es la recta perpendicular a ese lado en su
punto medio.
5.- ¿Que es la mediana de un triángulo?
La mediana de un triángulo, es el segmento de la recta que une
un vértice con el punto medio del lado opuesto.
CUADRILATEROS
1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son
iguales dos a dos?
Rectángulo
2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º
y 70º, ¿Cuánto medirá el ángulo que falta?
100º
3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?
Rombo
4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?
Trapecio
5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de
altura
A b*a
A 5*3
A 15
=
=
=
POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente
110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?
Solución:
Si la suma de los ángulos interiores de un polígono es:
180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los
valores de los ángulos que se dieron, consecuentemente, el
quinto ángulo vale 130°.
2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos
interiores suman respectivamente 1080°, 900°, 1260°?
Solución:
Despejando de la fórmula el valor de n, tenemos que:
. 2
180
suma angulos n = ° + , y esto aplicado a cada valor de la suma de los
ángulos internos, obtenemos que los valores de n son 8, 7 y 9
respectivamente.
3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?
Solución:
Aplicando el teorema de que la suma de los ángulos exteriores
de un polígono es 360°, entonces cada ángulo exterior vale
360°/8 = 45°
4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene
un ángulo agudo doble del otro.
Solución:
Se tiene que la suma de los ángulos interiores es
180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,
despejando x de 3x = 90°, x= 30°, entonces los ángulos
interiores son 30°, 60° y 90°, teniendo como ángulos exteriores
150°, 120° y 90°.
Step-by-step explanation:
Please solve these systems of equations by substitution.
1. x+y=7
x+2y=11
2. x+y=22
x+2y=48
3. x+y=45
x+2y=36
Step-by-step explanation:
x+ 2(7-x) = 11
x+14-2x = 11
-x = -3
x = 3
3+ y = 7
y = 4
x + 2(22-x) = 48
x + 44 -2x = 48
-x = 4
x = -4
-4 + y = 22
y = 26
y = 45-x
x + 2(45-x) = 36
x + 90 -2x = 36
-x = 54
x = -54
-54 + y = 45
y = 99
Answer:
1. x=3 and y=4
2. x=−4 and y=26
3. x=54 and y=−9
Step-by-step explanation:
1. x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute −y+7 for x in x+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute 4 for y in x=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
2. x+y=22;x+2y=48
Step: Solve x+y=22 for x:
x+y+−y=22+−y(Add -y to both sides)
x=−y+22
Step: Substitute−y+22 for x in x+2y=48:
x+2y=48
−y+22+2y=48
y+22=48(Simplify both sides of the equation)
y+22+−22=48+−22(Add -22 to both sides)
y=26
Step: Substitute26 for y in x=−y+22:
x=−y+22
x=−26+22
x=−4(Simplify both sides of the equation)
3. x+y=45;x+2y=36
Step: Solve x+y=45 for x:
x+y+−y=45+−y(Add -y to both sides)
x=−y+45
Step: Substitute−y+45 for x in x+2y=36:
x+2y=36
−y+45+2y=36
y+45=36(Simplify both sides of the equation)
y+45+−45=36+−45(Add -45 to both sides)
y=−9
Step: Substitute−9 for y in x=−y+45:
x=−y+45
x=−(−9)+45
x=54(Simplify both sides of the equation)
I hope this helped!
What is the remainder when 7x^2- x^3is divided by x - 8?
Answer:
The remainder is -64
Step-by-step explanation:
Given
[tex]7x^2 - x^3[/tex]
Divided by [tex]x - 8[/tex]
Required
Determine the remainder
Equate [tex]x - 8[/tex] to 0
[tex]x - 8 = 0[/tex]
Solve for x
[tex]x = 8[/tex]
Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]
So, we have:
[tex]7 * 8^2 - 8^3[/tex]
Evaluate all exponents
[tex]7 * 64 - 512[/tex]
[tex]448 - 512[/tex]
[tex]-64[/tex]
47100 was rounded to the nearest hundred.
What is the lower bound?
A ______________ consists of an a sample space and a list of events with their probabilities.
probability model
sample space
likelihood
outcome
Sample space َََ َ َ َ َ َ َ َ َ َ
What’s the missing number for this equation:)
[tex]{\red\star}\:{\underline{\underline{\mathfrak{\purple{hello}}}}}\:{\red\star}[/tex]
[tex]140x = 8400[/tex]
[tex] \frac{140x}{140} = \frac{8400}{140} [/tex]
[tex]x = 60[/tex]
Our answer is 60.
Good luck.
Answer:
140 x X =8400
X=8400/140
X= 60
140 x 60 =8400
Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)
Answer:
B
Step-by-step explanation:
(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Step-by-step explanation:
Given
[tex]W= Width\\ L = Length[/tex]
[tex]Area = 150[/tex]
[tex]W=2*L- 5[/tex]
Required
Determine the dimension
Area is calculated as:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W = 150[/tex]
Substitute: [tex]W=2*L- 5[/tex]
[tex]L * (2*L-5) = 150[/tex]
[tex]L * (2L-5) = 150[/tex]
Open bracket
[tex]2L^2 - 5L = 150[/tex]
Rewrite as:
[tex]2L^2 - 5L - 150=0[/tex]
Expand
[tex]2L^2 -20L + 15L - 150 = 0[/tex]
Factorize:
[tex]2L(L -10) + 15(L - 10) = 0[/tex]
[tex](2L + 15) (L - 10) = 0[/tex]
Split
[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]
Solve for L
[tex]2L =-15[/tex] or [tex]L = 10[/tex]
L cannot be negative
So:
[tex]L = 10[/tex]
Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]
[tex]W = 2 * 10 - 5[/tex]
[tex]W = 20 - 5[/tex]
[tex]W = 15[/tex]
Hence:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:Area
≈
55637.81
≈
55637.8
Area≈55637.81≈55637.8
Step-by-step explanation:
Find the area (in square feet) of a trapezoid
Answer:
Solution Given :
apothegm [a]=9in
perimeter [p]=13.1×5=65.5in
given
A=1/2 aP=1/2×9×65.5=294.75in²
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Question 1
10 pts
1. Burger Town sells cheeseburgers for $7.95 each plus
an additional $1.00 for each extra topping, t. Which of
the following equations best represents the cost, c, of a
cheeseburger?
O AC = 7.951
OB.C - 8.95
C. c = 7.95t + 1.00
D. C = 7.95 + 1.000
will mark brainlest
Answer: C
Step-by-step explanation:
Coach Nichols asked the track team to run a lap around the track. Determine the distance the team ran. Use 3 for pi.
Answer:
375
Step-by-step explanation:
if 4200 out of 5600 person's voted in an election the percentage which did not vote was
Answer:
25%
Step-by-step explanation:
If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.
5600-4200=1400
Then you can set up the number of people who didnt vote as equal to a percentage over 100
1400/5600=x/100
140000/5600=x
25=x