well, the shape is a trapezoid, a trapezoid has two parallel sides only, the parallel sides are called "bases", and the distance between the parallel sides is its "height".
so in the trapezoid above, it has two parallel sides, 20 m and 8 m, and the height or distance between both is 7 m, so
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=20\\ b=8\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(20+8)}{2}\implies A=\cfrac{7(28)}{2} \\\\\\ A=7(14)\implies A=98~m^2 \end{array}[/tex]
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π7. The graph of the function does not show a phase shift.
What is the equation of the cosine function described?
Drag a value into each box to correctly complete the equation of the function
Answer
f(x) = -9 cos((12(pi) / 7)x) -11
The base equation for a cosine graph is
f(x) = a cos(b(x-c))+d
a = amplitude
b = period
c = phase shift
d = vertical shift
if there's a reflection over the x-axis then there is a negative sign in front of the amplitude
I wrote the equation previously but it got deleted so let me know if you have any problems with this explanation
An english test has 20 questions. A student answers 76% correctly. How many questions does the student answer correctly?
Complete the conversion.
1 foot = 12 inches
4;, feet =
inches
Answer:
48 in
Step-by-step explanation:
1ft=12in so 12in x 4ft= 48 in
Please Help me find the figure , area formula and the area
Answer:
figure: parallelogram
area formula: base× height
A=bh
A= 13×6
A=78
Step-by-step explanation:
Opposite sides of a parallelogram are congruent.: AD=BC
DC=AB
Jim's car lot is having a sale! They have the truck you've always wanted and it is $3000 cheaper than you've seen anywhere else. Today it is $35,000. You can put $1000, then pay $700 a month for 5 years. How much are you paying total for the truck?
Answer:
34000
Step-by-step explanation:
Maya and Aimee compare the fractions 2/3 and 3//5. Their work is shown below.
Answer:
Maya is correct. She wrote equivalent fractions with the same denominator and then correctly compared the fractions. Aimee wrote equivalent fractions with the same numerator but did not correctly compare the fractions. Only Maya is correct.
When you're comparing fractions, you have to set them equal to the same denominator, not the same numerator.
Hope this helps
What is the height of the cone below?
= 90 cm°
B = 18 cm-
© 5 cm
0 6 cm
• 15 cm
© 30 cm
Answer:
Nearly the answer is 15 cm
because answer is in decimals
The mean of the following data is 509. {419,450,462,499,520,521,589,612}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42. 5
- - - - - - - - - - - - - - - - - - - - - - - -
" The mean of the following data is 509. {419, 450, 462, 499, 520, 521, 589, 612} "
- - - - - - - - - - - - - - - - - - - - - - - -
First, divide the mean (or average) by the population size (amount of numbers in the set).
509 / 8 = 51.5
There you go! Your absolute deviation.
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Good luck!
~pinetreee
The mean absolute deviation for the data set is 51.5.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Mean= 59
{419,450,462,499,520,521,589,612}
Now,
Count the number of data values in the set. In this case, n = 8.
Subtract the mean from each data value and take the absolute value. For example:
∣419−509∣=90
∣450−509∣=59
∣462−509∣=47
∣499−509∣=10
∣520−509∣=11
∣521−509∣=12
∣589−509∣=80
∣612−509∣=103
Add up all the absolute differences and divide by n. For example:
MAD=890+59+47+10+11+12+80+103
MAD=412/8
MAD=51.5
Therefore, by mean the answer will be 51.5.
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Fynn is using the Pythagorean theorem to calculate the slant height of an object. Which object is Fynn most likely working with?
a right cone
a sphere
a right cylinder
an elliptical cylinder
Write and solve an equation to find the measure of angle B.
Answer:
∠B = 40°
Step-by-step explanation:
The given angle relations can be expressed in two equations.
__
setupA + B = 90° . . . . . . . . angles are complementary
A×(1 -20%) = B . . . . . B is 20% smaller
__
solutionUsing the second equation to substitute for B in the first equation, we get ...
A + 0.80A = 90° . . . . . . substitute for B
A = 90°/1.8 = 50° . . . . . collect terms, divide by the coefficient of A
B = A(0.80) = 40° . . . . find B from A
The measure of angle B is 40°.
Find the sum of these polynomials. (x2 - 5x + 3) + (2x2 - 3x - 7) = A.3x2 - 8x - 10 B.3x2 - 2x - 4 C.3x2 - 8x - 4 D.3x2 - 2x - 10
An expression is defined as a set of numbers, variables, and mathematical operations. The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The sum of the two polynomial expressions are:
(x² - 5x + 3) + (2x² - 3x - 7)
= x² - 5x + 3 + 2x² - 3x - 7
= 3x² - 8x - 4
Hence, The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).
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Answer:
yk
Step-by-step explanation:
hello I NEED HELP PLSSS
PLEASE HELP!!!!!!!!!!!!!!
Simplify (-5)^5/(-5)^-6
Work out the value of 8^2+4^3, 5^3-7^2
Answer:
302
Step-by-step explanation:
simplify (2x²-6x-8)÷(x-4)
Answer: Heyaa!
The Answer is 2x+2
Step-by-step explanation:
Simplify the expression.
hopefully this helps you !
- Matthew ~
answer is in the attachment hope it helps you ^_^
Which group had the highest percentage of students like Sport.
………………………………………
b) Which group had the less percentage of students like English.
………………………………………
c) Calculate the percentage of students like Math for each group.
Group A = ……………………………………..
Group B = …………………………………….
The group that had the highest percentage of students that like Sports is group B.
The group that had the less percentage of students that like English is group A.
the percentage of students like Math in group A is 30% and 10% in group B
What are the percentages?
A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees
Percentage of students that like sports in:
Group A = [20 / (20 + 15 + 5 + 10)] x 100 = 40%Group B = [22 / (5 + 4 + 9 + 22)] x 100 = 55%Percentage of students that like English in:
Group A = [5 / (20 + 15 + 5 + 10)] x 100 = 10%Group B = [5 / (5 + 4 + 9 + 22)] x 100 = 22.5%Percentage of students that like Maths in:
Group A = [15 / (20 + 15 + 5 + 10)] x 100 = 30%Group B = [4 / (5 + 4 + 9 + 22)] x 100 = 10%To learn more about pie charts, please check: https://brainly.com/question/26250795
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This triangle can be called obtuse or __________.
A: equilateral
B: isosceles
C: scalene
D: right
SOMEONE HELP ME PLEASE??
Which is equivalent to 50 - 10 - 15? A. 50 - (-10) + (-15) … B. 50 + (-10) - (-15) C…. 50 + (-10) + (-15) D…. 50 - (-10) - (-15)
The equivalent expression of the given expression 50 - 10 - 15 will be 50 + (- 10) + (- 15). Then the correct option is C.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
→ 50 - 10 - 15
Then the expression can be written as
→ 50 + (- 10) + (- 15)
Thus, the correct option is C.
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Determine whether the series is arithmetic or geometric. Then evaluate the finite series for the specified number of terms. 10 + 7 + 4 + . . .; n = 5
Answer:
10 + 7 + 4 + . . .; n = 5
The series is arithmetic
Common difference between terms = (-3)
10 - 3 = 7
7 - 3 = 4
Or:
10 + (-3) = 7
7 + (-3) = 4
--------------------------------------------------------------------------
Another example:
Arithmetic:
5, 9, 13, 17
common difference = 4
5 + 4 = 9
9 + 4 = 13
Geometric:
4, 8, 16, 32
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
common ratio = 2
--------------------------------------------------------------------------
10 + 7 + 4 + . . .; n = 5
a₁ = 10
a₂ = 7
a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)
a₅ = a₄ - 3 = 1 - 3 = -2
Or with formula:
[tex]d=a_{n} -a_{n-1}[/tex]
d = a₂ - a₁ = 7 - 10 = -3
aₙ = a₁ + (n - 1)d
fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1
fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2
Sum of the finite series (if n = 5):
[tex]S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20[/tex]
Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20
yanni crable deposits $122 in an ordinary annuity at the end of every quarter. The annuity earns 6% interest compounded quarterly. After 4 quarters, the value of $1 with this interest rate is $4.0909. What is the future value of the annuity after 1 year?
Step-by-step explanation:
future value of annuity after 1 year is:
$122× $4.0909=$499.089
=$499.09
Is the following function linear or nonlinear
t = -8k + 2k - 4
a) linear
b) nonlinear
NEED HELP FAST
In this simplest form what is the ratio of circles and triangles
There are 3 shapes present.
Triangle - 2
Circle - 4
Square - 2
The ratio of triangles to circles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.
Christine, Kareem, and Trey have a total of $133 in their wallets. Kareem has $5 more than Christine. Trey has 4 times
what Kareem has. How much do they have in their wallets?
Answer:
Christine has $18, Kareem has $23, and Trey has $92.
Step-by-step explanation:
This can be solved by using variables to represent the unkown values.
x = Christine's money
x + 5 = Kareem's money.
4(x + 5) = Trey's money.
x + (x + 5) + 4(x + 5) = 133
2x + 5 + 4x + 20 = 133
6x = 108
x = $18
This means that Christine has $18, Kareem has $23, and Trey has $92.
Hope this helps
What is the solution of
5/2x-7=3/4x+14
A. X=-6
B. X=6
C.x=8
D. X=12
Answer:
D. x=12
Step-by-step explanation: quick maths
ITS THE LAST QUESTION HELP!!!!!!!!!!!!
Answer:
ans willbe -8
Step-by-step explanation:
-1/2 × 2 =-1
-1×2=-2
-2×2=-4
-4×2=-8
HELP ME ASAP PLS Find the surface area of each pyramid. Round to the nearest tenth if necessary.
Answer:
357.46 meters squared
Step-by-step explanation:
16 x 12.2 x 1/2 = 97.6
12.2 x 10.6 = 64.66
97.6 x 3 = 292.8
292.8 + 64.66 = 357.46
HELP PLEASE LOTS OF POINTS!!
Answer:
890.625
Step-by-step explanation:
2.5x2.5x2.5 (Volume of Cube)=15.625
Density is 57
57=x/15.625
890.625=x
Select the properties that equilateral triangles and isosceles triangles have in common.
0 sides of equal length
2 sides of equal length
3 sides of equal length
3 equal angles
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
What is a triangle?A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, equilateral and scalene triangle.
An equilateral triangle is a triangle that have three equal sides while isosceles triangle have two equal sides.
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
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help, question below