Answers
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided the figure of trapezium in which 2 m and 7m are the opposite parallel sides and 10m is the height. The formula to found out the area of a trapezium is [tex] \frac{1}{2} \tt{h(a + b)}[/tex] where h is the height and a & b are the opposite parallel sides .[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \boxed{ \large{ \tt{❊ \: AREA \: OF \: TRAPEZIUM \: (A) = \frac{1}{2} h(a + b)}}}[/tex]
- Plug the values & then simplify!
[tex] \large{ \tt{↬ \frac{1}{2} \times 10(2 + 7)}}[/tex]
[tex] \large{ \tt{↬ \frac{1}{2} \times 10 \times 9 }}[/tex]
[tex]↬ \boxed{ \large{ \tt{45 \: {m}^{2} }}}[/tex]
Hence , The required answer is 45 square meters .✺ Karma says : If you feel like you are losing everything , remember that trees lose their leaves every year and still they stand tall and wait for better days to come! ♪
♡Hope I helped! ت
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Related Questions
2x = 4y + 8, x - 2y = 4
Answers
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
Tell us wether the line or segment is best described as a radius, chord, diameter, secant, or a tangent of 0O.
Answers
Answer:
AB - secant
DB - diameter
AB - chord
OB - radius
BC - tangent
(In the order they are in the picture)
Step-by-step explanation:
AB - The line goes through the circle and does not go through the center. This fits the definition of a secant, so line AB is a secant.
DB - Segment DB goes through the center and has endpoints on the circle. This fits the definition of a diameter, so DB is a diameter.
AB - Segment AB has endpoints on the circle and does not go through the center. This fits the definition of a chord, so segment AB is a chord.
OB - Segment OB is basically from the center to a point on the circle. This fits the definition of a radius, so segment OB is a radius.
BC - Line BC intersects the circle in only one point and does not go through it. This fits the definition of a tangent, so line BC is a tangent.
The attendances y for two movies can be modeled by the following equations, where x is the number of days since the movies opened.
y=-x^2+35x+100 Movie A
y=-5x+275 Movie B
When is the attendance for each movie the same?
After ___ days and after ___ days.
Answers
Answer:
After
days and after
days.
By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.
When is the attendance for each movie the same?
This will happen for the values of x such that:
y = -x^2 +35x + 100 = y = -5x+275
There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.
We can write the equation as:
-x^2 +35x + 100 = -5x+275
If we simplify this, we get:
-x^2 + 35x + 100 + 5x - 275 = 0
-x^2 + 40x - 175 = 0
This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:
[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]
So the two solutions are:
x = (-40 + 30)/-2 = 5
x = (-40 - 30)/-2 = 35
So, the attendance will be the same after 5 days and after 35 days.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. what is the number?? (pls provide steps)
Answers
Answer:
[tex]Number\ is\ \frac{3}{4}[/tex]
Step-by-step explanation:
Let the number be x
Subtract 1/2 from x = (x - 1/2)
Multiply 1/2 to the result = 1/2(x - 1/2)
The result is 1/8
That is,
[tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
Two pound bags of candy are being used to fill containers that hold 1 1/2 pounds each. How many containers can be filled by each two pound bag of candy?
Answers
Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold [tex]1\frac{1}{2}[/tex] Pound Each .
Now There are 4 Container of Capacity [tex]1\frac{1}{2}[/tex] Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )
Mr. Livingston drove 375 miles using g gallons of gas. Write an
expression to find the number of miles he drove on average
per gallon of gas.
Answers
Answer:
sdf ss shesty summer
Step-by-step explanation:
sheisty summer
For this season in baseball, Joseph hit approximately 2 out of every 5 at bats. If he was up at bat 1,000 times this season, estimate the number of hits he had.
Answers
Answer:
I estimate he hit 400 bats.
Step-by-step explanation:
I am going to set up a ratio to solve.
Joseph hits about 2 out of every 5 bats, and we want to find out the number of hits we had if he was up to bat 1,000 times.
[tex]\frac{2}{5} = \frac{x}{1000}[/tex]
Cross multiply to solve.
2(1000) = 5(x)
2000 = 5x
Divide by 5 on both sides.
X = 400
I estimate he hit 400 bats.
Find The Missing Angle Measure
A. 34
B. 90
C. 6
D. 23
please help me with this
Answers
r = 180 - 32 -114
r = 34
So the answer is A
The sum of the 3 inside angles equal 180
To find the missing angle subtract the 2 known angles from 180.
R = 180 - 114 - 32 = 34
R = 34 degrees
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answers
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU
Answers
Answer:
63 were sold
Step-by-step explanation:
Multiply the total number of new houses by the fraction that were sold
81 * 7/9
Rewriting
81 /9 * 7
9 * 7
63
Answer:
63 new house have been sold this year.
Step-by-step explanation:
New houses have been sold this year is given by
= Total no. of new houses × fraction that were sold.➛ 81 × 7/9
➛ 9 × 7 .. ( 81 / 9 = 9 )
➛ 63
One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of oranges. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?
A. 3 a minus r
B. 3 a minus 5 r
C. (2 a minus 3 r) minus (a minus 2 r)
D . (2 a + 3 r) minus (a + 2 r)
Answers
Answer:
It should be D.
If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC
Please help
Answers
Answer:
m<ABC = 51degrees
Step-by-step explanation:
The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;
m<B = 1/2 (arcAD - arcAC)
<ABC = 1/2(17x + 2 -(7x - 10°))
4x + 15 = 1/2(17x-7x+2+10)
2(4x+15) = 10x+12
8x + 30 = 10x+12
8x-10x = 12-30
-2x = -18
x = 18/2
x = 9
Get m<ABC
m<ABC = 4x + 15
m<ABC = 4(9) + 15
m<ABC = 36 + 15
m<ABC = 51degrees
The measure of angle ∠ABC = 51 degree.
Since we know that,
For a circle,
The angle at the vertex is half the difference of the angles at the intercepted arcs.
Therefore,
m∠ABD = 1/2 (arcAD - arcAC)
⇒ ∠ABC = (1/2)(17x + 2 -(7x - 10°))
⇒ 4x + 15 = (1/2)(17x-7x+2+10)
⇒2(4x+15) = 10x+12
⇒ 8x + 30 = 10x+12
⇒ 8x-10x = 12-30
⇒ -2x = -18
⇒ x = 18/2
⇒ x = 9
Get m∠ABC
⇒ m∠ABC = 4x + 15
⇒ m∠ABC = 4(9) + 15
⇒ m∠ABC = 36 + 15
⇒ m∠ABC = 51 degree
Learn more about the angle visit:
https://brainly.com/question/25716982d
#SPJ6
I think of a number, I subtract 10 and add 2 . My answer is 20, What was my number
Answers
Answer:
x=28Step-by-step explanation:
x-10+2=20 x-8=20 x=20+8 x=28. this is my answerA group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales
tax of 8% was added. The group then tipped 18% on the amount after the sales tax
was added. What was the amount, in dollars, of the sales tax?
Show your work.
Answer
question continued: what was the total amount the group paid, including tax and tip?
Answers
Answer:
Sales tax=3.00, total paid=47.79
Step-by-step explanation:
37.50 x .08=3.00 sales tax
37.50+3.00=40.50 amount with sales tax added
40.50 x .18=7.29 amount of tip
40.50 + 7.29=47.79 total with tip and sales tax
The ratio of cars to residents on a small island is 1:112. There are 2,912 residents on the island. How many cars are there on the island?
a.
2,800
c.
112
b.
26
d.
52
Answers
Answer:
26
Step-by-step explanation:
1:112=113
x:2912=y
Divide 2912 and 112
2912/112=26
1 × 26 = 26
If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]
[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]
[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]
x = 15
6. What is the length of the hypotenuse of the triangle when x = 3
Round your answer to the nearest tenth.
Answers
Answer:
17.1
Step-by-step explanation:
Substitute 3 in place of x first, find the last side of the triangle using the Pythagorean theorem.
2x = 2*3 = 6
5x+1 = 5*3+1 = 16
[tex]a^{2} +b^{2} =c^{2} \\\\6^{2} +16^{2} =c^{2}\\17.1 = c[/tex]
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answers
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
The cost of 2 pounds
of coffee is $0.
True or False
Answers
Answer:
false
Step-by-step explanation:
the graph shows that 2 pounds of coffee would be about $4
Answer:
false.
Step-by-step explanation:
because if you look 1 pounds is 2 dollars
PLEASE HELP ME!! ASAP
ANSWER EXPLANATION = BRAINLIEST & FIVE STARS
What is the value of cos Q?
Write your answer as a simplified fraction.
Answers
Explanation:
Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.
The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.
Answer:
28/53
Step-by-step explanation:
To find the value of cos(Q), you need to divide the adjacent, 28, and the hypotenuse, 53. Dividing them results to 28/53, and simplified is, I don't think you can simplify that. This answer might not be totally correct.
Just remember in the future,
sin = opposite / hypotenusecos = adjacent / hypotenusetan = opposite / adjacentAnd you can use this link for help
https://www.mathsisfun.com/sine-cosine-tangent.html
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. Y = negative 4. Step 5 Solution is (3, negative 4). Is Claire's solution to the system of equations correct? Explain why or why not.
Answers
Answer:
Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Step-by-step explanation:
Following the steps taken :
4x - 2y = 4 - - - (1)
3x + 3y = 21 - - - (2)
Multiply (1) by 3 and (2) by 2
12x - 6y = 12 - - - (3)
6x + 6y = 42 - - - (4)
Add (3) and (4)
18x = 54
x = 54/18
x = 3
Put x = 3 in (1)
4(3) - 2y = 4
12 - 2y = 4
-2y = 4 - 12
-2y = - 8 (this is where the mistake lies)
It shouldn't be 2y = - 8 as stated
Answer:
The other dude is right.
Step-by-step explanation:
A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an alloy containing 40% silver. Of the answers listed below, the one closest to the correct value of x is
Answers
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ [tex]x+y=60[/tex]...(equation 1)
or,
⇒ [tex]\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60[/tex]
[tex]55x+30y=2400[/tex]...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ [tex]55x+55y=3300[/tex]...(equation 3)
⇒ [tex]55x+30y=2400[/tex]...(equation 4)
From equation 3 and 4, we get
⇒ [tex]25y=900[/tex]
[tex]y=\frac{900}{25}[/tex]
[tex]=36[/tex]
By putting the values of "y" in equation 1, we get
⇒ [tex]x=60-36[/tex]
[tex]=24[/tex]
Thus the value of x be "24 pounds".
CAN ANYONE PLEASE HELP ME !!
Answers
Answer:
The answer is 9.
Step-by-step explanation:
Suppose that an individual has a body fat percentage of 12.1% and weighs 133 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answers
Answer:
1099.2 pounds
Step-by-step explanation:
Given data
Weight= 133 pounds
Percentage of far= 12.1%
Let the total fat be x
So
12.1/100*x= 133
0.121*x=133
x= 133/0.121
x= 1099.1735 pounds
x= 1099.2 pounds
14 increased by twice a number
Answers
Answer:
2x+14
Step-by-step explanation:
x is the number
Answer:
14+2 times n
Step-by-step explanation:
you dont need n you can use any variable 14 increased increased means plus two times a numer a number means variable 2 times mean you multiply it by the number
Ben is 50 years old. His son, Carl is 24 years old. How many years ago was Ben 3 times as old as Carl?
Answers
Answer:
78
Step-by-step explanation:
50 - 24 = 26
26 x 3 = 78
Hope it helps...
a. 11.2 in.
b. 19.6 in.
c. 25.2 in.
Answers
what is the value of (-5+5i)+ (4-4i)?
Answers
Answer:
Step-by-step explanation:
(-5+5i)+(4-4i)
=-5+5i+4-4i
=-1+i
-1+I
1+Step-by-step explanation:
Find the value of X and Y in the parallelogram
Answers
Answer:
[tex]Find~x:-[/tex]
[tex]4x-37=49[/tex]
[tex]4x=49+37[/tex]
[tex]x=21.5[/tex]
[tex]Find ~y:-[/tex]
[tex]y/5=4x-3[/tex]
[tex]y=5(4*21.5-3)[/tex]
[tex]y=415[/tex]
----------------------hope it helps...have a great day!!