What is the area of 3yd, 8yd, and 10yd of a trapezoid
Answers
In this instance, the height is 8 yards, and there are two bases that are 3 yards and 10 yards apart. The result of entering these values into. The area of the trapezoid is \(52\) square yards.
What parameters for evaluating the area of a trapezoid?Length of the two parallel sides (bases): In a trapezoid, the two parallel sides are called the bases. You would need to know the length of both bases, denoted by “b1" and "b2".
Height (altitude) of the trapezoid: The height of the trapezoid is the perpendicular distance between the two parallel sides. It is denoted by "h".
Using these parameters, you can calculate the area of the trapezoid using the following formula:
\(Area = 1/2 \times (b1 + b2) \times h\)
To find the area of a trapezoid with bases of lengths b1 and b2, and height h, we use the formula:
\(Area = (b1 + b2) \times h / 2\)
In this case, we are given two bases, 3 yards and 10 yards, and the height is 8 yards. So, plugging these values into the formula, we get:
\(Area = (3 + 10) \times \frac{8}{2}\)
\(Area = 13 \times 4\)
\(Area = 52\) square yards
Therefore, the area of the trapezoid is \(52\) Square yards.
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Related Questions
5/8 is the fraction that if added to 3/8 gives you the sum of 1 whole
Answers
Answer:
true
Step-by-step explanation:
your answer is correct
Please help I am so so confused thank you all
Answers
y-(-9) = -6(x-(-4)), y = -6x-33
I need help fast please
Answers
Determine whether each number is a perfect square. If it is a perfect square, write
the number as a product of its two factors.
1.) 20
2.) 36
3.) 49
4.) 68
5.) 121
6.) 400
Answers
20 is not a perfect square.
36 = 6 times 6.
49 = 7 times 7.
68 is not a perfect square.
121 = 11 times 11.
400 = 20 times 20.
Hope this helps
A large multiplex movie house has many theaters. The largest theater has 37 rows. There are 16 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater
Answers
Since, the largest theater has 37 rows, the total seats in this theater are 1924
How to determine how many total seats are there in this theater?From the question, we have the following parameters:
First row, a = 16
Common difference, d = 2 additional seats
Number of rows, n = 37
The total seats in this theater are calculated using the following sum of n terms of an arithmetic sequence
Sn = n/2 * (2a + (n - 1) * d)
So, we have
S37 = 37/2 * (2 * 16 + (37 - 1) * 2)
Evaluate the difference in the above equation
So, we have
S37 = 37/2 * (2 * 16 + 36 * 2)
Evaluate the products in the above equation
So, we have
S37 = 37/2 * (32 + 72)
Evaluate the quotient in the above equation
So, we have
S37 = 18.5 * (32 + 72)
Evaluate the sum in the above equation
So, we have
S37 = 18.5 * 104
Evaluate the products in the above equation
So, we have
S37 = 1924
Hence, the total seats in this theater are 1924
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There is a proportional relationship between the area of a wall and the amount of paint needed to cover it.
A. What is the constant of proportionality for that relationship? Explain.
Answers
Answer:
Constant of proportionality \( = \frac{1}{400} \)
Step-by-step explanation:
A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall
The area of the wall determines the amount of paint needed to cover the wall.
Constant of proportionality, k = y/x.
Any given pair cam be used as y and x to find k.
Thus, using (100, ¼),
\( k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100} \)
Constant of proportionality \( = \frac{1}{400} \)
This means that as area of the wall increases, amount of paint increases and the ratio between them would always be \( \frac{1}{400} \).
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Answers
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
Solve the exponential equation: 92y = 9–2y – 1
Question 15 options:
A)
–1∕2
B)
–4
C)
–1∕4
D)
–2
Answers
Answer:
y=-1/4
Step-by-step explanation:
Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
Answers
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
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A regular hexagon is rotated about its center. Which degree measure will carry the regular hexagon onto itself?
A. 45
B. 90
C. 120
D. 135
Answers
Answer:
120 Degrees
Step-by-step explanation:
(6-2)*180 = 720
720/6 = 120
So the answer is 120
Hope this helps!
The degree will carry the regular hexagon onto itself is 60 degrees.
What is a regular hexagon?"A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal. When we arrange six equilateral triangles side by side, then a regular hexagon is composed. Then, the area of the regular hexagon becomes equal to six times the area of the same triangle."
Regular Hexagon Properties
1. It has 6 equal sides and 6 equal angles.
2. It has 6 vertices.
3. Sum of interior angles equals 720°.
4. Interior angle is 120° and exterior angle is 60°.
5. It is made up of six equilateral triangles.
6. 9 diagonals can be drawn inside a regular hexagon.
7. All the sides opposite to each other are parallel.
We know
There are 6 sides to a hexagon
360 degrees in a hexagon
The degree will carry the regular hexagon onto itself
= \(\frac{360}{6}\)
= \(60^{0}\)
Thus, The degree will carry the regular hexagon onto itself is 60 degrees.
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ANSWER ASAP PLS!!!!!
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
see below
Step-by-step explanation:
f(n) = 10(1.02)^n
Part A
Let f(n) = 11.04
11.04 = 10 * 1.02 ^n
Divide each side by 10
11.04/10 = 1.02^n
1.104 = 1.02^n
Taking the log of each side
log 1.104 = log 1.02^n
We know log a^b = b log a
log 1.104 = n log 1.02
log 1.104 / log 1.02 = n
4.99630=n
Rounding n to 5
The domain should be 0 ≤n≤5
Part B
f(n) = 10(1.02)^n
The function is in the form y =a b^x where a is the y intercept
The y intercept is 10. This is the value when n =0 days.
Part C
To find the average rate of change
f(5) - f(1)
-----------
5-1
f(5) = 11.04
f(1) = 10 *1.02 =10.2
11.04 - 10.2
-----------
5-1
.84
-----
4
.21 cm per day
The average rate of growth over the 4 days is .21 cm per day
Answer:
Part A: A reasonable domain to plot the growth of the function would be: 0 < n < 5.
Part B: The y-intercept of the graph of the function f(n) represents the height of the plant in 0 days when it first began.
Part C: The average rate of change of the function from n = 1 to n = 5 is 0.84 or 0.21cm per day. It represents the amount of growth for the plant over 4 days.
, Hope this helps :)
Have a great day!!
16) If m∠10=77⁰, m∠7=47⁰, and m∠16=139⁰, find the measure of each angle.
a. m∠1 =
b. m∠2 =
c. m∠3 =
d. m∠4 =
e. m∠5 =
f. m∠6 =
g. m∠8 =
h. m∠9 =
i. m∠11 =
j. m∠12 =
k. m∠13 =
l. m∠14 =
m. m∠15 =
n. m∠17 =
o. m∠18 =
Answers
Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.
Corresponding and Alternating AnglesThe corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.
Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
a. m∠1 = m∠7
Reason : Corresponding angles are equal
m∠1 = 47°
b. m∠2 = 180 - m∠1
Reason: Angles on a straight line
m∠2 = 180 - 47
m∠2 = 133°
c. m∠3 = m∠16
Reason : alternating angles are equal
m∠ = 139°
d. m∠4 = 180 - m∠3
Reason : Angles on a straight line
m∠4 = 41°
e. m∠5 = 180 - m∠4
Reason: Angles on a straight line
m∠5 = 139°
n. m∠17 = 180 - m∠6
m∠17 = 41°
f. m∠ 6 = m∠15
m∠15 = m∠17
Reason : Opposite angles are equal
m∠ 6 = m∠ 17
Reason : Alternating angles are equal
m∠ 6 = 41°
g. m∠8 = m∠1
m∠ 8 = 47°
h. m∠ 9 = m∠2
m∠9 = 133°
m. m∠15 = m∠ 17
m ∠ 15 = 41°
o. m∠ 18 = 360 - (m∠15 + m∠16 m∠ 17)
m∠18 = 360 - (41 + 139 + 41)
m∠18 = 139°
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A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?
Answers
Answer:
$432
Step-by-step explanation:
60*6=360
They paid $360 for the first 6 months.
20%*60=.2*60
0.2*60=12
12*6=72
They paid $72 for the last 6 months.
360+72=432
They paid $432
$648 is the total amount the customer will pay for the 1-year plan
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.
After 6 months, the customer received a monthly discount of 20%.
We need to find the total amount the customer will pay for the 1-year plan.
Product Plan = $60 per month
Money he pay for 1 month = $ 60
Money He pay for first 6 month = 6 × 60 = $ 360
after 6 month he receives 20% discount monthly,
So, Now he pay for 1 month = 60 - 20% × 60
=60-20/100×60
=60-12=48
Money he pay for last 6 month = 6 × 48 = 288
Total Money he pay in a year = 360 + 288 = $ 648
Hence, $648 is the total amount the customer will pay for the 1-year plan
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Two sides of a triangle have lengths 10 and 30. The third side has a length that is
Answers
Answer:
2h4o
Step-by-step explanation:
**WILL MARK BRAINLIEST AND GIVE 20 POINTS**
Graph the equations y=-1/2x+3 and y=2x-2 in the applet below.
1) After you graph the two lines, be sure to take a screenshot of your work and include it in your answer below.
2) What is the solution to the system of equations?
3) Prove that the answer you provided in part 2 is correct, by substituting the solution into the original equations. Be sure to show all your work.
Answers
the solution is (2,2)
step by step explanation:
y=-1/2x+3 : go up 3 on the y-axis, then go down 1 and the the right 2 and repeat.
y=2x-2 : go down 2 the y-axis, then got up 2 and to the right 1 and repeat.
where ever point the two linear lines intersect in the solution point.
Help me do it please, I'm stuck.
Answers
Answer:
2/1
Step-by-step explanation:
So you want to find a point where the line crosses a intersection near perfectly, point A (1,3) and then a second point, B (2,5)
and then you count up from point a, on the Y axis until you are even with the second point, that number is your RISE
it is 2
then you just count over to point B from that spot where you counted up. RUN TO IT
1
so it is 2/1 or just 2
((point (0,1) would have worked too))
P: 2,012
1) El volumen de un cubo de arista 1 es Vc = 1³ y el
Volumen de una esfera de radior es
JE
V₁ = πr ²³ Entonces si en un cubo de arista 4cm
3
y se introduce una pelota de diametro 4 cm, al Calcular
aproximación con cuatro cifras decimales, por exceso.
Calcular el volumen que queda entre la esfera y el cubo.
(toma π =
3,141592654)
Answers
El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.
¿Cuál es el volumen remanente entre una caja cúbica vacía y una pelota?
En esta pregunta debemos encontrar el volumen remanente entre el espacio de una caja cúbica y una esfera introducida en el elemento anterior. El volumen remanente es igual a sustraer el volumen de la pelota del volumen de la caja.
Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:
Cubo
V = l³
V = (4 cm)³
V = 64 cm³
Esfera
V' = (4π / 3) · R³
V' = (4π / 3) · (2 cm)³
V' ≈ 33.5103 cm³
Segundo, determinamos la diferencia de volumen entre los dos elementos:
V'' = V - V'
V'' = 64 cm³ - 33.5103 cm³
V'' = 30.4897 cm³
El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.
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Which expression is equivalent?
Answers
Answer:
this one i can not help you on sorry
Step-by-step explanation:
Please help I put 50 points into this
Answers
Answer:
B,C,E
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
A ray can have 2 endpoints
And because of that it can be named more than one way.
That means that B&E are wrong
- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches
Answers
Paula's Parties sells party supplies such as balloon bunches. The total price for a balloon bunch with j jumbo balloons and m medium balloons is 4.5j + 2m dollars: Manuel bought a balloon bunch with 2 jumbo balloons and 4 medium balloons. What price did Manuel pay for the balloon bunch? Submit
Answers
The price Manuel paid for the balloons is $17
The formula for the relation has been given as 4.5j + 2mwhere we are told that m stands for medium and
j stands for jumbo.
Here, all we have to do is to make a direct substitution for the jumbo and medium sizes as given in the question.
j = 2m = 4Therefore, substituting into the primary equation, we have
4.5(2) + 2(4) =
9 + 8 = 17 dollars
The price Manuel paid to Paula is 17 dollars.
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Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answers
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
PLSSSS HELP!
11^9–11^8+11^7 is divisible by 3 and 37.
Answers
Answer:
No.2163075981
Step-by-step explanation:
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
Answers
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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PLEASE HELP!! DUE TONIGHT!!!
Answers
Answer:
Step-by-step explanation:
Even ( I think)
positivie ( I think )
x intercept - (0,0)(-2,0)(-4,0)
y intercept - (0,0)
2400 people attended a football game. 1728 of the people attending supported the home team, while 672 supported the visiting team. What percentage of people attending supported the home team?
Answers
Answer:
Percentage= 72%
Step-by-step explanation:
Giving the following information:
Total population= 2,400
People supporting the local team= 1,728
To calculate the percentage of people supporting the local team, we need to use the following formula:
Percentage= (people supporting / total population)*100
Percentage= (1,728/2,400)*100
Percentage= 72%
Write an equation that represents the line. Use exact numbers.
Answers
Which value of n makes the following equation true?
√n=4
Answers
Answer:
n = 16
Step-by-step explanation:
The equation is,
→ √n = 4
Solving for the value of n,
→ √n = 4
→ n = 4²
→ [ n = 16 ]
Hence, the value of n is 16.
A 30-m long chain hangs vertically from a cylinder attached to a winch, and a 50-kg block is attached to the end of the chain. Assume there is no friction in the system and that the chain has a density of 5 kg/m. How much work is required to wind the chain onto the cylinder?
Answers
Answer:
22050 J
Step-by-step explanation:
Need answer to this question please don’t understand it
Answers
we have to do alot for this
so first we gotta change 12.3 into a mixed fraction
n = 5 so 5 ÷ 12.3