Answers
Answer:
x=6
Step-by-step explanation:
The sum of the angles is a right angle, which is 90 degrees
5x+ x+54 = 90
Combine like terms
6x+54 = 90
Subtract 54 from each side
6x+54-54 = 90-54
6x = 36
Divide each side by 6
6x/6 = 36/6
x= 6
Related Questions
La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades
para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de
padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones
de ahorro:
Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.
Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.
Ayuda a los padres de familia de la promoción a elegir la mejor opción.
ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu
Answers
Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%
What are the solutions of the equation (x – 8)2 = 144?
Enter your answer as the correct values, separated by a comma, like this: 42,53
If your answer includes a fraction, use the / symbol.
enter it like this: 3/14
Answers
[tex]x = 80[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]
[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
PLS HELP ILL MARK BRAINLIST
Answers
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?
Answers
Answer:
You will pay $13.50 in interest and end up paying $238.50 total after the eight years
Step-by-step explanation:
225 x 0.06 = 13.5
225 + 13.5 = 238.5
Answer:
you pay 108 dollars after 8 years
Unit 9 test: Trigonometry
What is the right answer to this problem?
Answers
Answer:
x = 10.5
Step-by-step explanation:
[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]
Answer:
Step-by-step explanation:
take 65 degree as reference angle
using cos rule
cos 65=adjacent/hypotenuse
0.42=x/25
0.42*25=x
10.5=x
sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!
Answers
Answer:
(1/2)^2= 0.25 thank you
R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?
Answers
Answer:
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in [tex]a * 10^b[/tex]
From the question, we have:
[tex]People = 4.46 * 10^9[/tex]
[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year
The number of breath is calculated by:
[tex]Overall = People * Breath[/tex]
So, we have:
[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]
Reorder
[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]
[tex]Overall = 37.464* 10^{9+6}[/tex]
[tex]Overall = 37.464* 10^{15}[/tex]
Using scientific notation [tex]a * 10^b[/tex];
The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]
So, we have:
[tex]Overall = 3.7464 * 10 * 10^{15[/tex]
[tex]Overall = 3.7464 * 10^{16[/tex]
By comparing the above with: [tex]a * 10^b[/tex]
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
what is the slope of the line that passes through the points (3,-20) and (5,8)?
Answers
Answer:
14
Step-by-step explanation:
The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.
A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the garden by doubling only the width of the current garden how much fencing will the gardener need to enclose a new garden?
Answers
Answer:
105 yards
Step-by-step explanation:
The other side is Width = 374/17 = 22.
So, the new width is 44 ( and the length is 17/2).
Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.
So, 105 yards.
Mark me as Brainliest if this is correct! I really appreciate it! :D
The perimeter of the new garden is 105 yards
The area of a rectangle is expressed as:
A = lww = A/l
w = 374/17
w = 22 yards
The perimeter of the new garden if the width is doubled is expressed as:
P = 2(l + w)
P = 2(17/2 + 2(22))
P = 17 + 88
P = 105 yards
Hence the perimeter of the new garden is 105 yards
Learn more on perimeter of rectangle here: https://brainly.com/question/19819849
9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520
Answers
Answer:
the answer is c
Step-by-step explanation:
Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2
Answers
Answer:
C. F × 2
Step-by-step explanation:
Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:
F × 2
Can someone help me please
Answers
Answer:
The answer is 4
(6x2 -5x + 10) - (2x2 -x +13)
Answers
Answer:
-4x + 5 ?
sorry if wrong
Triangle EFG is similar to triangle HIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.
Answers
Answer:
50.3
Step-by-step explanation:
11/7 = x/32
7x=352
50.28
50.3
The ratio of tomatoes to red apples is 2: 5. If there are 20 tomatoes,
how many red apples are there?
please I need help I'm not good at ratio
Answers
Answer:
50 red apples
Step-by-step explanation:
Ratio: 2:5
Tomatoes: 20
20/2 = 10
5 x 10 = 50
There are 50 apples.
when did the united states get it independence
Answers
Answer:
4th July 1776
Step-by-step explanation:
4th July is marked as independence day
What is the length of the hypotenuse?
A. 10
B. 14
C. 48
D. 100
Answers
Option A= 10
ProcessUsing Pythagoras Theorem,
8²+6²= (hypotenuse)²
64+36= (hypotenuse)²
(hypotenuse)²= 100
hypotenuse= √100
hypotenuse= 10
So Option A= 10
Hope This Helps You ❤️Answer:
The hypotenuse is A. 10.
Step-by-step explanation:
To find the length of hypotenuse we can use the pythagoras theorem formula:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]=>6^{2} +8^{2} = c^{2}[/tex]
[tex]=> 36 + 64 = c^{2}[/tex]
[tex]=> 100 =c^{2}[/tex]
[tex]=> c = \sqrt{100}[/tex]
∴ [tex]c[/tex] [tex]= 10[/tex]
help me with C please
Answers
Answer:
your answer is going to be b Find the product of A and B
Step-by-step explanation:
What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.
Answers
Answer:
√17 or 4.12 inches
Step-by-step explanation:
√9²-8²=√81-64=√17 inches
or 4.12 inches
Find the value of x.
Answers
Answer:
70.86 degrees
Step-by-step explanation:
cos x = adjacent side / hypotenuse
= 2/6.1 = 0.32787
x = 70.86.
Answer:
x ≈ 70.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )
margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?
Answers
—————————————————
Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?
༆SOLUTION:—————————————————
[tex]\mathrm{N = 6×0.8 \: inch}[/tex]
[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]
If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!I don’t know how to do this
Answers
Answer:
x-10
Step-by-step explanation:
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
Answers
You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.
Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???
Answers
Answer:
(-4,-5)
Step-by-step explanation:
Given :
M ( x,y) C ( -2,-10)D (-6,0)[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2
[tex] \implies[/tex] M = ( -8/2 , -10/2 )
[tex] \implies[/tex] M = (-4 , -5)
Hence the midpoint is (-4,-5) .
a dice cube has 6 sides that are numbered 1-6. If the cube is thrown once, what is the probability of rolling an odd number?
Answers
Answer:
3/6 or 1/2
Step-by-step explanation:
1, 2, 3, 4, 5, 6
3 odd #s and 3 even #s
3/6 are odd which means 3/6 probability of rolling an odd #
Answer:
1/2
Step-by-step explanation:
There are 3 odd numbers 1,3,5 so 3/6 which equals 1/2
:DDDDD
23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers
Answers
Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*1/a= 1
1* a/1= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
Please I need help and can you explain as well because I have to show my work
Answers
Answer:
b and c
Step-by-step explanation:
0.775 is bigger than .7 or .70
17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5
Hope this helped <3
7.
A. [tex]y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2[/tex]
B. [tex]y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2[/tex]
C. [tex]y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2[/tex]
D. [tex]y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2[/tex]
Answers
Answer:
D
Step-by-step explanation:
PLEASE HELP, THANKS SO MUCH!! EXPLAIN UR ANSWER = BRAINLIEST
Answers
Answer:
2571.14 m^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5
V = 4/3 (3.14) (8.5)^3
= 2571.13666
Rounding to the nearest hundredth
= 2571.14 m^3
=================================================
Work Shown:
V = (4/3)*pi*r^3
V = (4/3)*3.14*(8.5)^3
V = 2571.13666666667 which is approximate
V = 2571.14
-------------
Notes:
The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84
Answers
Answer:
x =2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Use pythag to create your equation.
x^2+5^2=7^2
x=[tex]\sqrt{24}[/tex]
In simplest radical form: x =2[tex]\sqrt{6}[/tex]