Given :
Base = 20 cm and 14 cm.Height = 5 cm.To find :
Area of trapezoid.Solution :
We know,
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}[/tex]
Now, Substituting the values :
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (20 + 14) \times 5} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{2 } \times 34} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{ \cancel2 } \times \cancel{34}} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=5 \times 17} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=85} }}[/tex]
Therefore,
The area of the trapezoid is 85 cm² .Answer:
85cm²
Step-by-step explanation:
Here we are given a trapezium with base = 20cm and 14cm and height = 5cm . And we are interested in finding the area of the trapezium .
Figure :-
[tex]\setlength{\unitlength}{1.5cm}\begin{picture}\thicklines\qbezier(0,0)(0,0)(1,2.2)\qbezier(0,0)(0,0)(4,0)\qbezier(3,2.2)(4,0)(4,0)\qbezier(1.5,2.2)(0,2.2)(3,2.2)\put(0.8,2.4){$\bf A $}\put(3,2.4){$\bf D $}\put(-0.3,-0.3){$\bf B$}\put(4,-0.3){$\bf C$}\put(4.4,0){\vector(0,0){2.2}}\put( 4.4, 0){\vector(0,-1){0.1}}\put(4.6,1){$\bf 5\ cm$}\put(0, -0.5){\vector(1,0){4}}\put(0, -0.5){\vector( - 1, 0){0.1}}\put(1.7, - 0.9){$\bf 20\ cm $}\put(0.8, 2.8){\vector(1,0){2.5}}\put(0.8, 2.8){\vector( - 1, 0){0.1}}\put(1.7, 3){$\bf 14\ cm $}\end{picture} [/tex]
As we know that the area of trapezium is given by ,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}(sum \ of \ || \ sides)\times height [/tex]
Here 20cm and 14cm are parallel sides .Substitute the respective values in stated formula,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}(20cm +14cm)5cm \\[/tex]
Solve the parenthesis ,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}\times (34cm)(5cm)[/tex]
Simplify by multiplying ,
[tex]\longrightarrow\rm \underline{\underline{\red{{Area = 85\ cm^2}}}}[/tex]
And we are done !
[tex]\rule{200}4[/tex]
Simplify this equation please
Answer:
[tex]\boxed{2\cos^2\theta}[/tex]
Step-by-step explanation:
[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]
[tex]\cos^2\theta+\cos^2\theta[/tex]
[tex]2\cos^2\theta[/tex]
Veronique found the difference of a number and 8. Which expression models the situation? n minus 8 StartFraction 8 Over n EndFraction StartFraction n Over 8 EndFraction 8 minus n
Answer:
Veronique found the difference of a number and 8.
Which expression models the situation?
n-8
8/n
n/8
8 - n
Step-by-step explanation:
A:(n-8) is correct
Answer:
N-8
Step-by-step explanation:
I just finished the quiz
question 6 Which set of coordinates does NOT represent a function?
Answer:
The first one
Step-by-step explanation:
You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats
Answer:
First table
Step-by-step explanation:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!
Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!
Maddy received $60 for her birthday and decided to go shopping. She bought 2 shirts priced at $12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax, and she gave the cashier all of her birthday money, how much change did she get back?
Answer:
$3.75
Step-by-step explanation:
Cost of one shirt = $12.25
cost of two shirt = 2*Cost of one shirt= 2*$12.25 = $25
cost of necklace = $8.50
cost of pair of shoes = $22.75
Total cost for the shopping = cost of two shirt+cost of necklace+ cost of pair of shoes
Total cost for the shopping = $25 + $8.50+ $22.75 = $56.25
Given that Maddy had done total shopping worth $56.25 but she gave cashier all her birthday money which is equal to $60.
Then , cashier will return all the money from $60 exceeding $56.25
change returned to money = money given to cashier - total cost for shopping
change returned to Maddy = $60 - $56.25 = $3.75
Thus, Maddy got Back $3.75
Hannah competes
in a 10 km run.
She completes
the race in
2 hours.
What was her
average speed?
Answer:
5 km/h
Step-by-step explanation:
Speed is the ratio of distance to time. Hannah's speed is ...
s = d/t
s = (10 km)/(2 h) = 5 km/h
Her average speed was 5 km per hour.
A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?
Answer:
Around 10.6 years
Step-by-step explanation:
5.75% of 4500 is 258.75
then we will need to subtract the current amount from the final amount.
10000-4500=5500
next
5500/258.75=21.256
finally
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
We have given that
A person invests 4500 dollars in a bank.
The bank pays 5.75% interest compounded semi-annually.
Therefore we have,
What is compounded semi-annually?The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period
5.75% of 4500 is 258.75
[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]
Then we will need to subtract the current amount from the final amount.
10000-4500=5500
5500/258.75=21.256
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
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PLEASE HELP!!!!! WILL GIVE BRAINLIEST!!
Xiao is at the cash register of her favorite store. The total price of her items is $150. She hands the clerk a 25% off coupon. How much money will Xiao save with this coupon?
$25
$30
$37.50
$45
Answer:
$37.50
Step-by-step explanation:
The answer is $37.50
WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
THE QUESTION IS ATTACHED BELOW
Answer:
The answer is C beacause it is 20 times greater than the other numbers
where are vertices A located?
Answer:
(3, 4) works, but there are other correct answers.
Step-by-step explanation:
We are given 2 vertices of a right triangle.
There is an infinite number of points that can be the third vertex and form a right triangle. There is not enough information to answer with a unique point.
One answer is point (3, 4) making <A the right angle of the triangle.
Increase £16470.45 by 13.5%
Answer: 18693.51075= £18,693.51
Step-by-step explanation:
16470.45/100=164.7045
164.7045x13.5=2223.51075
2223.51075=16470.45=18693.51075
18693.51075= £18,693.51
The increment of £16470.45 by 13.5% is £18693.96.
PercentageWhat is percentage?A part per hundred is what the percentage denotes. The symbol '%' is used to symbolise it. Example percentages include: 10% is represented as the fraction 1/10.
Calculate the percentage:The amount is given as £16470.45.
As, the amount is increased by 13.5%.
Thus 13.5% of £16470.45 will be calculated as,
= 16470.45 ×(13.5/100)
= 2223.51
Thus, the 13.5% of the amount will be £2223.51
Calculate the increment of the amount:As, the incremented amount is calculated as £2223.51.
The amount after the increment will be,
= 16470.45 + 2223.51
= 18693.96
Therefore, the total amount after the increment of 13.5% is £18693.96.
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lily has some chocolate with a mass of 220g. she eats 30g of the chocolate.
find the percentage of the chocolate she has not eaten
The percentage of the chocolate she has not eaten is 86.4%
How to find percentageTotal mass of chocolate = 220gMass eaten = 30gMass not eaten = Total mass of chocolate - Mass eaten
= 220 - 30
= 190g
Percentage not eaten = 190/220 × 100
= 0.86363636363636 × 100
= 86.3636363636363%
Approximately,
86.4%
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Ra=5q-ma solve for a
Answer:
a = 5q/(r + m)
Step-by-step explanation:
ra = 5q - ma
ra + ma = 5q
a(r + m) = 5q
a = 5q/(r + m)
Please mark me the brainliest!?!
1. The stem and leaf plot gives the agesof the last 15 presidents when they were inaugurated Table 1: Key:3j5 = 35 Stem Leaf 4 3 6 7 5 1 2 4 4 5 6 6 0 1 2 4 9 7 0
. Rectangle DEFG with vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)
Answer:
D(-5,5), E(-3,4), F(-6,0), G(-8,1)
Step-by-step explanation:
You need to subtract 11 from x, (which is the first number in the parenthesis) because the rule is (x-11, y+4) and add 4 to y.
I really hope this helps!
The value represents the is D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) . A rectangle is a quadrilateral with four right angles in the Euclidean plane.
What is meant by rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to describe it. A rectangle with four equally length sides is a square.
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
Given,
vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)
Because the rule is (x-11, y+4), you must subtract 11 from x, which is the first number in the parenthesis, and then add 4 to y.
D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)
Therefore D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) is the value represents the rectangle.
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Can someone rate my answer and tell me how i did pls /I measured my door in my room. The height was 74 inches and the length was 35 inches so to find the area you would multiply 74 by 35
Answer:
Partially correct!!
Step-by-step explanation:
To find the area, you only need to multiply LENGTH x WIDTH. So, you did it correctly.
Not the height and the length. You wouldn't need the height to calculate area! Good try though! If you're still stuck next time you measure a door, look up how to calculate area if you are ever stuck.
Determine the solution set of x(squared) + 9x + 20 = 0 by factoring.
Answer:
[tex]x=-4,\:x=-5[/tex]
Step-by-step explanation:
[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]
Answer:
Factored form: (x+4)(x+5) = 0
x = -5 or -4
Step-by-step explanation:
To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.
The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.
Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).
To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.
I need help fast. Its 8th grade math, multiple choice question. (I added photos)
Answer:
C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)
2.61 is 5.8% of what number?
Answer:
45.
Divide 48 by 100 (48/100*)
Then, multiply by the given percentage, 5.8%
→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.
Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
As per the given information
Let the number is [tex]x[/tex].
[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]
Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
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A larger number is five more than twice a smaller number. Their sum is 80. Find the numbers.
Answer:25 and 55
Step-by-step explanation:
if you double 25 you get 50 add five and you get 55.
55+25=80
If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?
A. y=2x+3
B. y=2x+32
C. y=2x−3
D. y=2x−32
Answer:
A. Y=2x+3
Step-by-step explanation:
because im right
If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32
How to determine the inverseTo determine the inverse of the function, we would first replace x with y in the function:
y = 2x - 32
x = 2y - 32
x + 32 = 2y
Divide both sides by 2
x/2 + 32/2 = y
f−1(x) = x/2 + 32/2
The common facot between the denominatoes of the values is 2. So, when expanded, we have;
(x + 32)/2
So, the closest option that represents the inverse is B. y=2x+32.
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The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.
Answer: 5.94%
Step-by-step explanation:
Let X be the random variable that represents the weights of the fish.
Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).
sample size : n= 32
The probability that the mean weight will be more than 10.9 lb:
[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]
Hence, the required probability = 5.94%.
Does anyone know this?
Area = 3.14 * (12 miles)² = 452.16 miles²
Name two quadrilaterals that have four right angles.
Answer: Rectangle and square
Step-by-step explanation:
PLEASE HELP ME!
How much tax is owed or how much refund is expected? Tax due $ 1374 and tax withheld $678.
A. refund $696
B. refund $678
C. tax owed $696
D. tax owed $5678
Answer:
The answer is C
Step-by-step explanation:
After a shopping spree at Target, John realized he spent three times more money than his brother Mike. They spent a total of $160. If you choose x to represent the
amount of money that Mike spent, what choice below would represent the amount of money that John spent?
Answer:
John spent around $53
Step-by-step explanation:
The equation is 3x=160
Since the "x" is already by itself on one side, divide 160 by 3
160÷3=53.333⇒
Now if that's not the way IT CAN ALSO BE:
30x3+70=160! That means John spent $90
The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year
Answer:
100
Step-by-step explanation:
if 25% is 20, 20*4=80
80+20=100
Whats a quadrilateral
What goes in blank????
HELPPPPPP PLEASE!!!
Answer:
6/h = 10/40
Step-by-step explanation:
Answer:
6/h = 10/40
Step-by-step explanation:
b x h = w
10=b
6=h
so its 6/h and 10/40
i think
, when substituted for the variable, makes the equation 5 x − 3 = 7 true?
Answer:
x should equal 2
Step-by-step explanation:
5x2=10
10-3=7