Answer:
\(\frac{A}{2b} = h\) with your formula but
\(\frac{2a}{a+b} = h\) with the formula for the area of a trapezoid.
Step-by-step explanation:
A = (b + b)h
You mentioned that this is the area for a trapezoid, I will answer giving the formula you have provided however I will also include an explanation for the actual area for the trapezoid as the one you provided is inaccurate.
A = (b + b)h
Firstly, add together the two b variables:
A = 2bh
Now, divide both sides by 2b:
\(\frac{A}{2b} = \frac{2bh}{2b}\)
\(\frac{A}{2b} = h\)
However, the formula for the area of a trapezoid is:
\(A = \frac{a+ b}{2}h\)
So to solve for h, first, we must multiply both sides by 2:
\(A * 2 = (\frac{a+ b}{2}h) *2 = 2A = h(a+b)\)
2A = h(a+b)
Now, divide both sides by (a+b)
\(\frac{2a}{(a+b)} = \frac{h(a+b)}{(a+b)}\)
Which cancels down to:
\(\frac{2a}{a+b} = h\)
Hope this helps!
if there perimeters are the same 8x (2) = (4x+10) 14
Answer:252
Step by step explanation:
db
slove the following multi-step equation
-3(3x+8)+2=26-3x
Answer:
x=-8
Step-by-step explanation:
-3(3x+8)+2=26-3x
We move all terms to the left:
-3(3x+8)+2-(26-3x)=0
We add all the numbers together, and all the variables
-3(3x+8)-(-3x+26)+2=0
We multiply parentheses
-9x-(-3x+26)-24+2=0
We get rid of parentheses
-9x+3x-26-24+2=0
We add all the numbers together, and all the variables
-6x-48=0
We move all terms containing x to the left, all other terms to the right
-6x=48
x=48/-6
x=-8
It takes Juan 1.5 hours to walk 5.25 miles to the park. how many miles can he walk per hour?
Answer:
jajaja y la novia
Step-by-step explanation:
Simplify the difference.
One rectangle has an area of ((7x² - 4x +12) ft². A second rectangle has an area of
(4x² + 2x − 1) ft².
How many more square feet is the first rectangle ?
O 3x² - 2x + 11
O 11x² - 6x + 11
O 3x²- 6x + 13
O-4x²-5x-9
Answer:
The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle
Step-by-step explanation:
A rule for subtracting polynomials
Keep the first term the same Change the subtraction sign to addition Change the sign for every termSteps
Keep the polynomial 7x²- 4x + 12 the same Change the subtraction sign to addition Change the sign for every term 4x² + 2x - 1 becomes -4x² - 2x + 13At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1
At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13
You randomly select one card from a 52-card deck. find the probability of selecting a red six or a black king.
The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).
There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.
Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13
Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
For more questions on probability
https://brainly.com/question/251701
#SPJ8
FIRST ONE TO AWNSER GETS BRAINLYISTAND 50 POINTS
AND MY LOVE !!!!!!!!!!
Answer:
Answer: c
Step-by-step explanation:
A. ❎
\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)
B. ❎
\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)
C. ✔
\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)
D. ❎
\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)
{10, 11, 12, ..., 55}
How many numbers in the above set are divisible by 2 but not by 10?
(A) 17
(B) 18
(C) 19
(D) 21
Considering concepts of divisibility, the amount of numbers in the set that are divisible by 2 but not by 10 is:
(C) 19.
What are the rules for division by 2 and by 10?Numbers that finish in 0, 2, 4, 6, and 8 are divisible by 2, that is, even numbers are divisible by 2.Numbers that finish in 0 are divisible by 10. Hence, every number that is divisible by 10 is also divisible by 2.The data-set has (55 - 10) + 1 = 46 numbers, hence 23 are divisible by 2. 20, 30, 40 and 50 are also divisible by 10, that is, 4 numbers have to be removed, hence the amount is:
23 - 4 = 19.
Which means that option C is correct.
More can be learned about divisibility at https://brainly.com/question/9462805
#SPJ1
what is the correlation
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
Which of the following represents 0.63 as a fraction in simplest form?
Answer:
63/100
Step-by-step explanation:
0.63 = 63/100
the million americans of age and over control percent of all discretionary income. aarp estimated that the average annual expenditure on restaurants and carryout food was for individuals in this age group. suppose this estimate is based on a sample of persons and that the sample standard deviation is . round your answers to the nearest whole numbers. a. at confidence, what is the margin of error? b. what is the confidence interval for the population mean amount spent on restaurants and carryout food? , c. what is your estimate of the total amount spent by americans of age and over on restaurants and carryout food?
Using the t-distribution, it is found that:
a. The margin of error is of $122.4.
b. The 95% confidence interval for the population mean amount spent on restaurants and carryout food is of ($1,750.6, $1,995.4).
c. The estimate is the sample mean of $1,873.
What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the following rule:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which the parameters are described as follows:
\(\overline{x}\) is the sample mean, which is also the estimate of the population mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.In the context of this problem, the values of these parameters are given by:
\(\overline{x} = 1873, s = 550, n = 80\)
Hence, for item c, the estimate is of $1,873, as it is the sample mean.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 80 - 1 = 79 df, is t = 1.9905.
The margin of error is given by:
\(M = t\frac{s}{\sqrt{n}}\)
Hence:
\(M = 1.9905\frac{550}{\sqrt{80}} = 122.4\)
The confidence interval is the sample mean plus/minus the margin of error, hence:
1873 - 122.4 = $1,750.6.1873 + 122.4 = $1,995.4.What is the missing information?The problem is given by the image at the end of the answer.
More can be learned about the t-distribution at https://brainly.com/question/16162795
#SPJ1
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
Read about percentage change at
https://brainly.com/question/11360390
#SPJ1
Please help me find the answer guys
Answer:
15%
Step-by-step explanation:
As we see, by the time one day passes, we have the amount of weeds as 1650 times 0.85 to the power of 1. We can rewrite 0.85 as 85%. That means that 1650 keeps getting multiplied by 85% to the power of as many days that have passed. 85% can be rewritten again to 1 - 15%. We can see in the equation that the population of weeds decreases by 15% as d, increases, and d is the number of days, so the population of the weeds decreases by 15% each day.
Perpetual Inventory Using FIFO The following units of a particular item were available for sale during the calendar year: The firm maintains a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale, assuming the first-in, first-out method. Present the data in the form illustrated in Exhibit 3. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:
1. Identify the units sold and their respective costs:
- Start with the units available for sale at the beginning of the year.
- For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.
2. Calculate the cost of goods sold (COGS) for each sale:
- Multiply the number of units sold by their respective cost.
- This will give you the cost of goods sold for each sale.
3. Update the inventory balance after each sale:
- Subtract the units sold from the total units available for sale.
- Multiply the remaining units by their respective cost to get the ending inventory value.
Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
To know more about cost of goods sold:
https://brainly.com/question/30760745
#SPJ11
Simplify e⁰. answer it please
write an equation in slope-intercept form for the line with the given slope, passing through the given point. slope=3, (3,2)
a. y=3x-7
b. y=2x-7
c. 3x-3
d. y=2x-3
Answer:
the answer is D because i asked SIRI and BIXBI and they both said the same answers
Step-by-step explanation:
could you help with
The pythagorean theorem establish that:
\(c^2=a^2+b^2\)where c is the hypotenuse, a and b are the legs of the right triangle.
In this case then:
\(17^2=x^2+8^2\)Solving for x we have:
\(\begin{gathered} x^2+8^2=17^2 \\ x^2=17^2-8^2 \\ x^2=225 \\ x=\sqrt[]{225} \\ x=15 \end{gathered}\)Therefore, x=15.
when computing the effect size, you use the observed value of t in the formula, not the critical value (cv). True or False?
The answer is True we use observed value not critical value
The answer is True. When computing the effect size, you use the observed value of t in the formula rather than the critical value. The critical value is used to determine statistical significance, while the effect size is calculated using the observed value to measure the strength or magnitude of the relationship between variables.
learn more about "critical value":- https://brainly.com/question/14040224
#SPJ11
1. Find the area of the shaded region.
22cm
Step-by-step explanation:
dztdxfchvjbkniuklyhj8nuoihyn897uiohy897iuohy87uiohy8nj,bhkbnjomiklj;miojkmojno;ioki987779807u
Which equation represents a line which is perpendicular to the line y=5/4x-7
what function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find?
The geom_jitter() function is the function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find
Given that,
In order to make the points in the plot easier to find, function first creates a scatterplot and then adds a small amount of random noise to each point in the plot.
Generally, To make the points in the scatterplot easier to find, the geom jitter() method first builds a scatterplot and then adds a little amount of random noise to each point in the plot.
What is the purpose of the Geom jitter () function? Description. The geom point (position = "jitter") shortcut is the jitter geom. It is a practical method of managing overplotting brought on by discreteness in smaller datasets by adding a little degree of random variation to the location of each point.
Learn more about discreteness:
brainly.com/question/13233983
#SPJ4
The geom_jitter() function is a funcreates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier
Given that,
Function first makes a scatterplot, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.
The geom jitter() method often produces a scatterplot first, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.
What does the Geom jitter () function do? The jitter geom is the shortcut geom point with a position equal to "jitter". It is a helpful technique for controlling overplotting caused by discreteness in smaller datasets by giving each point's location a small amount of random variation.
To learn more about scatterplot click here;
https://brainly.com/question/7219025
#ABCD
2. Given that AYMZ and AQMP are identical, and YZ = 13, QM = 15, and PM
below to determine the remaining measurements.
P
M
Z
Q
Side
QP
YM
ZM
Measure
HELPPP MEEE
Answer:
Qp=13cm
Ym=15cm
Zm=15cm
Ur welcome
help? i cant understand
Muluply the expressions below. Then simplify if possible 2x(3x - 4) b. (x+3)(2x-5) (2.1+5)(2x-5) d. X(2x+1)(-3)
Answer:
What is the expression? All I see are the answers.
Step-by-step explanation:
what is an angle whose vertex is on the circle and sides are chords?
The angle whose vertex is on the circle and the sides of the angle are the chords is called an Inscribed Angle .
What is an Inscribed Angle ?
An inscribed angle in the circle is formed by the two chords which have a common end point on circle and this common end point is called the vertex of inscribed angle.
The arc formed by the inscribed angle in the circle is called as the intercepted arc .
also the Inscribed Angle Theorem states that inscribed angle on the circle is half the measure of central angle that subtends the same arc .
Learn more about Inscribed Angle here
https://brainly.com/question/2555017
#SPJ4
here are seven boys and six girls in a class. the teacher randomly selects one student to answer a question. later, the teacher randomly selects a different student to answer another question. find the probability that the first student is a boy and the second student is a girl.
The probability that the first student is a boy and the second student is a girl is 7/26.
To answer your question, we'll need to calculate the probabilities for each event and then multiply them together.
Probability of selecting a boy first:
There are 7 boys and 13 students total (7 boys + 6 girls), so the probability is 7/13.
Probability of selecting a girl second:
After selecting a boy, there are now 12 students remaining (6 boys + 6 girls). The probability of selecting a girl is 6/12 (which simplifies to 1/2).
Now, multiply the probabilities together: (7/13) × (1/2) = 7/26
So, the probability that the first student is a boy and the second student is a girl is 7/26.
To learn more about probability here:
brainly.com/question/30034780#
#SPJ11
Write the following numbers in order from least to greatest.
2.45x 103
2.45x 107
2.45 x 10
- 5
Answer:
-5
2.45×10
2.45×103
2.45×107
Step-by-step explanation:
-5=5
2.45×10=24.5
2.45×103=252.35
2.45×107=262.15
pls help
Which of the following is in order from largest to smallest?
-1, |-2|, |7|, 9
9, |7|, |-2|, -1
9, |7|, -1, |-2|
|-2|, -1, |7|, 9
Answer:
Step-by-step explanation:
D think is your answer
a cowboy agreed to work for one year for plus a horse. he quit after 7 months and was paid plus a horse. how many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?
The worth of the horse is 1800 dollars
Given that a cowboy worked for one year for 19,200 plus a horse.
After 7 months, he quit and was paid 10,450 but got to keep the horse.
We need to find the worth of the horse.
Here, the horse is part of the payment in total, so it has to be used as a variable when setting up the proportion.
Let us consider the net worth of the horse to be H
solving for H,
[19,200 + H] / 12 = [10,450 + H] / 7
Now, cross multiply
134,400 + 7H = 125,400 + 12H
134,400 - 125,400 = 12H - 7H
9,000 = 5H
H = 9,000 / 5
H = $1,800
Hence, the net worth of the horse, H is $1,800.
Learn more about wages:
https://brainly.com/question/25863464
#SPJ4
Which of the numbers below could be terms in the sequence an=7n +4?
24
46
32
36
Answer:
46
Step-by-step explanation:
46 - 4 = 42
42/7 = 6
Answer:46 and 32 just did the quiz
Step-by-step explanation:
if AB = 12, BD= 8, AC=18, and CE =12, then what dilation scaling factor below would map ABC to ADE given A as the center
The dilation scaling factor that would map ΔABC to ΔADE is \(k = \dfrac{5}{3}\)
What is a dilation transformation?A dilation transformation is one in which the size of the object enlarged or reduced by a scale factor.
Possible parts of the question obtained from a similar question, found online are;
Triangle ΔABC is similar to triangle ΔADE
ΔABC ~ ΔADE
The triangle ΔABC is inscribed in the triangle ΔADE, such that the vertex B is located on the side AD and the vertex C is located on the side AE
The similar relationship between the two triangles indicates that the ratio of the corresponding sides on each triangles have the same values, therefore;
\(\dfrac{AD}{AE}\) = The ratio of the corresponding sides on the triangle ΔABC
\(\dfrac{AD}{AE} = \dfrac{12+8}{18+12} = \dfrac{2}{3} = \dfrac{12}{18} = \dfrac{AB}{AC}\)
Therefore, the corresponding side to AD is AB, and the corresponding side to AE is AC
The scale factor, k, that maps ΔABC to ΔADE, produce the length of AD from AB, or AE from AC as follows;
AD = k × AB
20 = k × 12
Therefore; \(k = \dfrac{20}{12} = \dfrac{5}{3}\)
Learn more about dilation transformation in geometry here:
https://brainly.com/question/25814896
#SPJ1