Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
What is the measure of angle x? 62" X
Answer:
c
Step-by-step explanation:
62+90=152
180-152=28
the sum of the interior angles must equal 180 degrees
Angle x measures 28°
What is triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given,
In the figure, interior angles of triangle measures =
62°, right angle = 90°, x
Sum of interior angles of a triangle = 180°
⇒ 62° + 90° + x = 180°
⇒ 152° + x = 180°
⇒ x = 180° - 152°
⇒ x = 28°
Hence, 28° is the measure of angle x.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ2
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE
Answer:
- 84
Step-by-step explanation:
I think answer to this question is -28
I hope it will be correct
operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
Which statement is true about the transformation?
An
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
y=3x y=18 solve for x
Answer:
6=x
Step-by-step explanation:
y= 18; y= 3x
18=3x
18/3 = 3x/3
6=x
Hope this helps!
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?
Answer: 8 bags
Step-by-step explanation:
From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.
For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:
= 3 ÷ (3/8)
= 3 × (8/3)
= 8
Therefore, she will pack 8 bags of dried fruit.
PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).
Answer:
y=4x+1
Step-by-step explanation:
I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.
Answer:
y - 1 = 4 ( x - 0 )
Step-by-step explanation:
point slope form
2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
Please answer this.. please
help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
SOME 1 HELP WITH 11 PLZZZZ
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Answer:
see below
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Since they are both equal to y, we can set them equal to each other
-5x-1 = -5x+7
Add 5x to each side
-5x-1+5x= -5x+7+5x
-1 = 7
This is not true so there is no solution
The lines are parallel with different y intercepts