BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answer:
b
Step-by-step explanation:
Vincent gathered groups of 111 to 888 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results. Which statement is the best description of the association between these variables?
a. Larger groups tended to take more time to solve the puzzle.
b. Larger groups tended to take less time to solve the puzzle.
c. There is no clear relationship between group size and the amount of time it took to solve the puzzle.
Answer:
b. Larger groups tended to take less time to solve the puzzle.
Step-by-step explanation:
Given that
The group of 1 to 8 people and each group do have the same puzzle to solve
Now based on the given statements and attached graph
It can be seen that the larger number of groups would take lesser time for solving the puzzle
Therefore the option b is correct
And, the rest of the options would be wrong
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
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Owen is building a small wooden birdhouse. The bottom of the birdhouse is a rectangular prism that opens up to a roof in the shape of a rectangular pyramid. (Diagram is not drawn to scale.)How much space is inside Owen’s birdhouse?
Answer:
198in³
Step-by-step explanation:
okay, so this is just a volume problem, just break it down into your rectangular prism and your rectangular pyramid, so let's start on the bottom:
(the formula for the volume of a rectangular prism is base x height)
6 x 4.5 = 27
So now we multiply by 5 (the height)
27 x 5 = 135
So we put that aside while we do the pyramid
(this formula is base x height ÷ 3)
So we already have 27 from the rectangle thingy, so:
27 x 7 = 189
189 ÷ 3 = 63
So now we add both of our volumes together:
135 + 63 = 198
So the volume of the figure is 198in³
But in word problem terminology, There is 198in³ in Owen's birdhouse
hope this helps:)
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
can you please explain how i can work through these problems?
Please please please please help me
[tex]3(x - 3) + 8x = 5(2x + 1)[/tex]
Expanding the terms,
[tex]3(x - 3) + 8x = 5(2x + 1) \\ 3x - 9 + 8x = 10x + 5[/tex]
Collecting like terms,
[tex]3x - 9 - 8x = 10x + 5 \\ 3x - 8x - 10x = 5 + 9[/tex]
Evaluating the terms,
[tex]3x - 8x - 10x = 5 + 9 \\ - 15x = 14[/tex]
Divide both sides by -15,
[tex] - 15x = 14 \\ x = - \frac{14}{15} [/tex]
Which graph represents the function f(x) =4·3^x
Answer:
c
Step-by-step explanation:
the answer is c c c c c c c c
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Answer:
Crew neck is the most popular, so she should probably order that
Step-by-step explanation:
Answer:
Crew Neck t-shirts are most efficient
BRAINLIEST ASAP
does anyone have the worksheet answers?
Answer:
√-4 = 2 i
√-9 = 3 i
√-2 = 1.41421356237 i
What inequality is represented by this graph?
1 2 3
s 8 i å
6 7 8 9
X36
X
x28
Answer:
[tex]x < 6[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The inequality
The arrow points starts at 6 and points left.
This means that:
[tex]x < 6[/tex] or [tex]x \le 6[/tex]
The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]
Hence, [tex]x \le 6[/tex] is invalid
So, the inequality is: [tex]x < 6[/tex]
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
Which of the following is equivalent to the expression below?
To get the answer, we'll use the following property of logs:
logₓ(A) + logₓ(B) = logₓ(A*B)
SImplifying the given expression:
Now, we are given the expression:
log₆36 + log₆216
Using the property listed above, we can rewrite it as:
log₆(36*216)
log₆(7776)
Hence, option (C) is correct
the area of the total surface area of a square base pramid is 576cm and slant height is 10 cm find the volume of the pramid
Answer:
first use the formula
TSAof pyramid =a²+2althen find h by using formula
h²=p²+b²and use the formula
a²×h/3hope it helps.
stay safe healthy and happy.Please answer this question correctly
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.
Answer:
62.832 mi^2
Step-by-step explanation:
Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2
Curved Surface Area= pi x diameter x height
= pi x 4 x 3 = 12 pi mi^2
So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)
Answer:
SA=62.832 mi^2
Step-by-step explanation:
To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.
Slope Formula
What is the slope of the line with points ( – 7,2) and ( - 4,0)?
Answer:
-2/3
Step-by-step explanation:
(2-0)/(-7+4)
=2/(-3) = -2/3
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing only bonds from portfolio B?
Solution :
P(A) = 0.2
[tex]$P(B)=0.3$[/tex]
[tex]$P(C)=0.5$[/tex]
Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.
Let Stock = S
Bond = b
Therefore, we have:
[tex]$P(S|A) = 0.5$[/tex]
[tex]$P(b|A) = 0.5$[/tex]
[tex]$P(S|B) = 0.5$[/tex]
[tex]$P(b|B) = 0.5$[/tex]
[tex]$P(S|C) = 0.5$[/tex]
[tex]$P(b|C) = 0.5$[/tex]
Therefore,
[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]
= 0.5 x 0.3
= 0.15
Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.
What is probability?Probability is the chance or likelihood of an event occurring.
Mathematically, probability is given as;
Probability = number of expected outcomes/number of possible outcomesFrom the tree diagram:
P(A) = 0.2
P(B) = 0.3
P(C) = 0.5
The investors are equally likely to choose from each portfolio.
Each portfolio has both the stocks and the bonds.
Assuming stock = S and Bond = B.
Then;
P(S|A) = 0.5
P(b|A) = 0.5
P(S|B) = 0.5
P(b|B) = 0.5
P(S|C) = 0.5
P(b|C) = 0.5
[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]
[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]
Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.
Learn more about probability at: https://brainly.com/question/251701
#SPJ5
$74.00 sweatshirt; 5% tax
|
Answer:
the tax amount is $3.7
Step-by-step explanation:
Given that
The price of the sweatshirt is $74
And, there is a 5% tax
So we assume that We need to find out the tax amount
So here the following formula should be used
= Price of the sweatshirt × tax rate
= $74 × 0.05
= $3.7
Hence, the tax amount is $3.7
So the same would be considered and relevant
Find the measure of /_ MFZ
Given:
[tex]MZ\cong PZ[/tex]
[tex]m\angle MFZ=(x+9)^\circ[/tex]
[tex]m\angle PFZ=(2x-1)^\circ[/tex]
To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
[tex]m\angle FMZ\cong \angle FPZ[/tex] (Right angle)
[tex]MZ\cong PZ[/tex] (Given)
[tex]FZ\cong FZ[/tex] (Common side)
[tex]\Delta MFZ\cong \Delta PFZ[/tex] (HL congruent postulate)
[tex]\angle MFZ\cong \angle PFZ[/tex] (CPCTC)
[tex]m\angle MFZ=m\angle PFZ[/tex]
[tex]x+9=2x-1[/tex]
[tex]9+1=2x-x[/tex]
[tex]10=x[/tex]
The value of x is 10.
The measure of angle MFZ is:
[tex]m\angle MFZ=(x+9)^\circ[/tex]
[tex]m\angle MFZ=(10+9)^\circ[/tex]
[tex]m\angle MFZ=19^\circ[/tex]
Therefore, the measure of angle MFZ is 19 degrees.
HELP!!! The graph is at the top! Will mark as brainliest answer!!
Answer:
The value of BEF = 36°
Step-by-step explanation:
Given:
Angle AED = 90°
Angle BEF = 3x°
Angle CEF = 54°
Find;
The value of BEF
Computation:
We know that;
Angle AED = Angle BEC (Vertical opposite angle)
So,
Angle AED = Angle Angle BEF + Angle CEF
90 = 3x + 54
3x = 90 - 54
3x = 36
x = 36 / 3
x = 12
The value of BEF = 3x
The value of BEF = 3(12)
The value of BEF = 36°
If the area of a rectangle is 16a^3 – 12a² + 8a and the width is 4a. Find the length
of the rectangle.
Answer:
4a² - 3a + 2
Step-by-step explanation:
*picture above*
If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning.
Answer:
5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Step-by-step explanation:
Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).
3/4 = 0.75
Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
3.
Work out
(a)
(__)-(3)
HELP
When x=7
7+7(x-3)²
Answer:
it should be 119
Step-by-step explanation:
(7-3) = 4
4^2 = 16
16 x 7 = 112
112 + 7 = 119
Answer: 119
[tex]7+7(x-3)^{2}[/tex]
[tex]7+7(7-3)^{2}[/tex]
[tex]7+7(4)^{2}[/tex]
[tex]7+7(16)[/tex]
[tex]7+112[/tex]
=119
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*