In the given figure, ABCD is a trapezium in which AD || BC,
ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the
area of the trapezium,
Answer:
252 cm²
Step-by-step explanation:
Find AB:
AB² = 41² - 40²
AB² = 81
AB = √81
AB = 9 cm
Area of the trapezium = ½(a + b) × h
Where,
a = 16 cm
b = 40 cm
h = 9 cm
Area = ½(16 + 40) × 9
Area = ½(56)×9
Area = 252 cm²
Please help. with this question
Answer:
33 36 42 52 92
105
Step-by-step explanation:
Write the equation of the line that passes through (-3,9) and is parallel to y = -2x + 5
Answer:
y = -2x +3
Step-by-step explanation:
Parallel lines always have the same slope
To insert the point, use the slope intercept formula: y =mx+b
insert y (9)
insert x (-3)
insert the slope -2
9 = (-2)(-3) + b
9 = 6+b
subtract 6 from both sides
3 = b
3/4 square feet in 1/4 hour
Answer:
ill assume you're asking the answer for 1 hour
Step-by-step explanation:
multiply each side by 4. then, 12/4(3)=1
so 3 square feet and hour
Olivia takes a trip to visit her aunt who lives 120 mi. away. Olivia's car can travel 24 miles per gallon of gasoline. If gasoline costs 03 per gallon, how much will Olivia pay for the gasoline for this trip? Show or explain your reasoning.
Answer:
$15
Step-by-step explanation:
Given that :
Aunt's distance = 120 miles
Miles per gallon of Olivia's car = 24 miles per gallon
Cost of gasoline = 3 per gallon
Cost of gasoline for the trip :
(Aunt's distance / miles per gallon) * cost of gasoline per gallon
(120 miles / 24 miles per gallon) * 3
5 * 3 = $15
Cost of gasoline for the trip = $15
Josh has been working andsaving money in order to buy a car andtravel the country. According to hiscalculations, it will cost him $1450 amonth for all his expenses. If Josh hassaved up $40,000, and will be purchasinga car for $16,500, at most, how manymonths will he have enough money totravel?
Answer:
16 months
Step-by-step explanation:
40k-16.5k=23.5k. 23.5k/1450= A little bit more than 16 months.
select the equation that represents the function given in the table below:
Please help!
Answer:
im to lazy to do an equation
Step-by-step explanation:
I don't know how doing this
Slope intercept form - y = m(x) + b. m represents slope, b represents the y-intercept. You should be able to plug in any value for y and x into the equation, and it should result in a true statement.
The y-intercept is easy to find. It is the point where X is equal to zero and the graph line crosses through the y axis. In this case, y intersects at -2. Since we insert the y intercept at b, we can go ahead and plug it in there.
y = m(x) + b > y = m(x) - 2
Since there is only one option with the y intercept equalling -2, you can go ahead and pick D) y = -x - 2 as your answer, since no other options have the correct y-intercept.
Another oneeeeeeeeeeeeeeeeee
Answer:
c
Step-by-step explanation:
pick me as the brainlist
Answer:
B. The student multiplied 380 by [tex]\frac{19}{20}[/tex].
Step-by-step explanation:
In the equation -[tex]\frac{3}{4}[/tex]y - [tex]\frac{1}{5}[/tex]y = 380, we can further evaluate the equation into:
-[tex]\frac{19}{20}[/tex]y = 380
To find y, we need to multiply 380 by the inverse of the fraction on the other side, which is -[tex]\frac{20}{19}[/tex]. However, the students multiplied 380 by [tex]\frac{19}{20}[/tex] to get 361. Thus, this was the mistake.
Find the slope of two points (1,-5)(10,6)
Answer:
11/9
Step-by-step explanation:
Answer: 11/9
Step-by-step explanation:
The slope is found by the change in y over the change in x
(6-(-5))/(10-1)
Simplify:
11/9
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
For every 2 boys in class, there is 1 girl in class
Step-by-step explanation:
Calculati- 2x + 3y – 5x + y
Answer:
.10
x
2
+
11
x
y
−
6
y
2
Step-by-step explanation:
The Expression
=
(
2
x
+
3
y
)
(
5
x
−
2
y
)
=
2
x
(
5
x
−
2
y
)
+
3
y
(
5
x
−
2
y
)
=
10
x
2
−
4
x
y
+
15
x
y
−
6
y
2
=
10
x
2
+
11
x
y
−
6
y
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.
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
Answer:
2880
Step-by-step explanation:
The total number of people affected by flu during the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer
2880
Step-by-step explanation:
Plz help me with this
Answer:
The first choice
Step-by-step explanation:
It says that its decreasing so the slope is negative.
It also starts of with 565 so that's the y intercept
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
what is 2/3x + 1/4x= 6 ??????
Answer:
x=72/11
Step-by-step explanation:
determine the domain and range for this relationship. Drag the tiles to the correct locations. Not all tiles will be used.
domain:
range:
{4,4.5,5,5.5,6,6.5,7}
(i cant do the less than or equal to sign but its supposed to have the line under it.)
4
0
4
{4,5,6,7}
0
0
{0,1,2,3,4,5,6}
pleaseee help me thanks
Answer in the picture below!
I give Brainlliest! 15 pionts!
Write the decimal as a percent.
0.768 =
Answer:
76.8%
Step-by-step explanation:
All you have to do is multiply the decimal by 100.
Answer:
76.8%
Step-by-step explanation:
I just did a thing and got the answer -v-
Donna wants to calculate the height of a tree. She finds the length of the tree's shadow is 25 meters and the angle of elevation from the ground to the top of the tree is 30°. Find the height of the tree to the nearest whole number.
Answer:55
Step-by-step explanation:
7y-(9+4y)= -3
y=?
Rest in peace 999
Answer:
y = 2
Step-by-step explanation:
Given
7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1
7y - 9 - 4y = - 3 , that is
3y - 9 = - 3 ( add 9 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Answer:
you are not a brainly bot
Step-by-step explanation:
Find f(6); f(n) = 5 – 2n
Answer:
f(6)=-7
Step-by-step explanation:
Just plug in n=6 into the function:
f(n)=5-2n
f(6)=5-2(6)
f(6)=5-12
f(6)=-7
Therefore, the correct answer is f(6)=-7
Answer:
the answer is g=−12+ 30/n
Step-by-step explanation:
A gym membership charges a one-time application fee of $15, plus $32 each month. Which of the following equations could represent the total cost, y, for x number of months?
A.y = 32x + 15
B.y = 15x + 32
C.y = 47x
D.15y = 32x
Answer:
The answer is A. y =32x + 15
Step-by-step explanation:
The reason behind this is the rate. The amount of money each month is the slope (m). The additional fee would be the b.
Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
the additive inverse of the other.
«+
C
Given:
[tex]x^2+kx-98=0[/tex]
One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].
According to the question,
[tex]\beta=2(-\alpha)[/tex] (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])
[tex]\beta=-2\alpha[/tex]
If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then
[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
We have,
[tex]x^2+kx-98=0[/tex]
Here, a =1, b=k and c=-98.
[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]
[tex]\alpha-2\alpha=-k[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-\alpha=-k[/tex]
[tex]\alpha=k[/tex] ...(i)
Now,
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-2\alpha^2=-98[/tex]
Divide both sides by -2.
[tex]\alpha^2=49[/tex]
Taking square root on both sides.
[tex]\alpha=\pm \sqrt{49}[/tex]
[tex]\alpha=\pm 7[/tex]
Using (i), we get
[tex]k=\pm 7[/tex]
Therefore, the value of k is either -1 or 1.
50 in.
14 in.
Find the length of the missing side.
52 in.
24 in.
48 in.
16 in.
Answer:
48
Step-by-step explanation:
Help me plzzz I don’t understand this
can someone please help me factor and write the equations for these two problems ?
Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = [tex]\frac{3x}{x^2-3x-10}[/tex]
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = [tex]\frac{3x}{(x + 2)(x - 5)}[/tex]
Asymptotes 4
h(x) = [tex]\frac{(x-5)}{x^{2} + 14x + 40}[/tex]
= [tex]\frac{x-5}{x^{2}+10x+4x+40}[/tex]
= [tex]\frac{x-5}{x(x+10)+4(x+10)}[/tex]
= [tex]\frac{x-5}{(x+10)(x+4)}[/tex]
Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
1/3^3= 1/27 I will need this answer soon as possible plz
Reduce by cancelling the common factors.
(13)x−1=27 Convert the exponential equation to a logarithmic equation using the logarithm base (13) of the right side (27) equals the exponent (x−1)log13(27)=x−1
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
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