Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90
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:
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
calcular el número de lados de aquel poligono cuyo número de diagonales.
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
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:
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)
Answer:
"yes" or "no"
Step-by-step explanation:
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
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 volume of 6✓2cm
Step-by-step explanation:
Complete Question :-
find the volume of a cube of side 6✓2cm .We know that the Volume of a cube is cube of side . So,
[tex]\implies Volume = side^3 \\\\\implies Volume = (6\sqrt2 \ cm)^3 \\\\\implies\boxed{\boxed{ Volume= 432\sqrt2\ cm^3}}[/tex]
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.
There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.
Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.
Answer:
i think its 2:7
Step-by-step explanation:
heres why
16 and 56 both have a number that equals which it is 8
so u divide
16/8=2
56/8=7
16:56 in simplest form is 2:7
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3
Answer:
f(x) = -2 log3x - 3.
Step-by-step explanation:
f(x) = log3x
Reflecting over x axis makes it f(x) = f(x) = -log3x
Vertical stretch gives -2 log3x
Finally moving the graph down 3 units gives -2 log3x - 3.
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:
Landon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 5.5 points for each visit to the movie theater. He needs 125 points for a free movie ticket. How many visits must Landon make to earn a free movie ticket?
Answer:
10 times
Step-by-step explanation:
125-70 bonus points =55 points left.
55 divided by 5.5 per visit = 10 times to get a free movie ticket.
To verify it is correct:
10 visits x 5.5 points each = 55 points total
55 + 70 bonus points = 125 for a free ticket.
Answer:
10
Step-by-step explanation:
Let x= number of visits
5.5x+70=
125
subtract -70 from 70 and 125
5.5x= 55
divide both sides by 5.5
x=10
:)
The height of a rectangular prism is half its width. The width of the prism is 1··3o f its length. If the width of the prism is 3 centimeters, what is the volume?
Answer:
just have fun
Step-by-step explanation:
A computer and printer cost $1128. The cost of the computer is three times the cost of the printer. Find the cost of each item. (Also have a great day :D)
Answer:
Computer 752
Printer 376
Step-by-step explanation:
1128./3=376
1128.-376=752
is this right. ......... I need help
Answer:
yes those all seem to be correct, A, B, and D are the ones that are correct
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
the product of 5 and 6 reduced by t
Answer:
5(6-t)
Step-by-step explanation:
in math, product means the "sum" of the equation or the final answer
and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-
5(6-t)
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
help please ! i need it asap & do not put any typa link .
Answer:
SU = 32 and <SVT = 32
Step-by-step explanation:
math, i am pretty sure about the angle and positive on the diagonal
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.
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
How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
state three different between the fundamantal and derived quantities
Step-by-step explanation:
Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system
Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.
What happens to the volume of a sphere if its radius is multiplied by 6?
Answer:
216 times the original
Step-by-step explanation:
Volume 1 = 4/3 πr³
volume 2 = 4/3 π(6r)³
v 2 / v 1 = 6³ = 216
When the radius of a sphere is multiplied by 6, the volume is multiplied by 216
How to determine the volume?Let the radius of the sphere be r
The volume of a sphere of radius, r is calculated as:
v = 4/3 πr³
When multiplied by 6, the radius becomes:
R = 6r
The new volume is then calculated as:
V = 4/3 π(6r)³
Divide both volumes
V/v = 4/3 π(6r)³ / 4/3 πr³
Evaluate the quotient
V/v = 6³
V/v = 216
Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216
Read more about volumes at:
https://brainly.com/question/1972490
consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answer:
That is the pythagorean theorem.
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]
There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?
Answer:
35 adults, 420 children
Step-by-step explanation:
1. Set up variables
Let's say children is c and adults is a.
2. Create the equations
c = 12a AND c + a = 455
3. Plug in the variables
Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...
12a + a = 455
13a = 455
a = 35
3. Plug in more variables
Now we have our answer for a, so let's plug it into the other equation. That would be...
c + a = 455
c + 35 = 455
c = 420
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
squares and rectangles both have four angles that measure 45° each true or false
Answer:
False
Step-by-step explanation:
They both have four angles that measure 90°.
Hope I helped.
No it isnt true. A rectangle or a square has right angles that have a degree of 90 so its actually 90 degrees.