Answers
Answer:
A = 4x² + 3x - 1
Step-by-step explanation:
Area of trapezoid = (a + b)(h)/2
a = 5x - 4b = 3x + 2h = x + 1A = [((5x - 4) + (3x + 2)) · (x + 1)] ÷ 2
A = [(8x - 2) · (x + 1)] ÷ 2
A = (8x² + 8x - 2x - 2) ÷ 2
A = 4x² + 4x - x - 1
A = 4x² + 3x - 1
Hope this helps and God bless!
To setup an equation for the area of the figure:
⇒ must know the formula for the area of a trapezoid
[tex]\frac{1}{2}*(base1+base2)*height[/tex]
base 1 --> 5x - 4base 2 --> 3x + 2height --> x + 1Now's lets set up the equation:
[tex]Area =\frac{1}{2}(5x-4+3x+2)(x+1) =\frac{1}{2}(8x-2)(x+1)=\frac{1}{2}*(8x^2+8x-2x-2)\\Area = \frac{1}{2} *(8x^2+6x-2)\\Area = 4x^2+3x-1[/tex]
Thus the equation is [tex]4x^2+3x-1[/tex]
Answer: [tex]4x^2+3x-1[/tex]
Hope that helps!
Related Questions
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
because 2.5x2.5=5 min so in a another 2 page which is 2.5 min so it C
OLZ HELP ILL MARK AS BRAINLEST
Use the excerpt to answer the question. As Melanie climbed down into the 2 points rowboat, Gina scooted over on the bench to make room for her. "We have to pick up Jacob now," Gina said, handing Melanie one of the oars. “And we should hurry so we can be long gone before the patrol barge comes by." Gina hadn't told Mom where she was going. Her mother had been smoothing a washcloth over Brandon's forehead as Gina had headed out. When her mother had asked where she was off to, Gina had tossed out some vague explanation. It was better for Mom not to worry. She had enough to worry about these days. They all did. Which statement conveys the main idea of the excerpt?
Gina, Melanie, and Jacob are worried to leave Brandon when they take their rowboat out because they know his mother has been fussing over him a lot lately.
Gina and Melanie need to get Jacob before they are caught, and Gina doesn't want her mother to know where she is going so as not to worry her.
Gina's mom is worrying about her and Melanie because they are going to pick up Jacob in their rowboat.
Jacob is missing, and his friends Melanie and Gina decide to go looking for him without telling anyone
Answers
Answer:
the second one
Step-by-step explanation:
Gina's mom does not know where she is, meaning that Gina did not tell her and implyling she did not want to worry her.
Prior to June 1, Sandler Company had no treasury stock transactions. Then, on June 1, the company paid $5,000 to purchase 100 shares of its common stock on the open market. On July 1, the company sold 50 of these shares at $52 per share. Then, on August 1, the company sold the remaining 50 shares at $46 per share. Prepare the journal entry
Answers
Answer:
Explanation:
The journal entries are shown below:
On June 1Treasury Stock A/c Dr $5,000 (50 shares × $100)
To Cash A/c $5,000
(Being treasure stock is purchased)
On July 1Cash A/c Dr $2,600 (50 shares × $52)
To Treasury Stock A/c $2,500 (50 shares × $50) To Paid in capital - Treasury stock $100(Being treasury stock is sold at higher price and the remaining amount would be credited to the paid in capital account)
On August 1Cash A/c Dr $2,300 (50 shares × $46)
Paid in capital - Treasury stock $100
Retained Earnings A/c Dr $100
To Treasury Stock A/c $2,500 (50 shares × $50)(Being treasury stock is sold at lower price and the remaining amount would be debited to the retained earning account)
Pat bounced a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
Answers
Answer:
125
Please mark brainliest!
Step-by-step explanation:
To get this answer, we multiply 25 by 5, because 5 = 150 divided by 30.
25 x 5 = 125, so the answer is 125.
6×8×<10×5 is it true or false
Answers
Answer:
True
Step-by-step explanation:
6 × 8 = 48
10 × 5 = 50
48 < 50
hope this helps :)
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry club wants to spend at most $49 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answers
Answer:
t >= 5
Step-by-step explanation:
PLSS I NEED HELP ASAPPP!!!
Mary had 12 eggs. She ate 2 eggs per day (x). Choose all of the points that would lie on a graph of the line representing the number of eggs remaining, y, after x days. O A. (2,4) B. (2,8) C. (2,10) D. (4,2) E. (4.4) G F. (4,8)
Answers
Answer:
B. (2,8)
E. (4,4)
Explanation:
equation that can be created: y = 12 - 2(x)
where y is the remaining eggs and x is days
sequence: coordinates:
1st day: 12 - 2 = 10 (1,10)
2nd day: 10 - 2 = 8 (2,8)
3rd day: 8 - 2 = 6 (3,6)
4th day: 6 - 2 = 4 (4,4)
5th day: 4 - 2 = 2 (5,2)
6th day: 2 - 2 = 0 (6,0)
How is Fibonacci seen in nature
Answers
An ice cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used used each sundaes?
Answers
Answer:
1.5 bananas to make each sundaes
Step-by-step explanation:
6 divided by 4
What is the discriminant of the polynomial below?
9x^2 - 18x + 9
A. 0
B. 648
C. -306
D. -18
Answers
factor the expression k^2+16k+64
Answers
Answer:
[tex]\huge\boxed{\sf (k + 8)(k + 8)}[/tex]
Step-by-step explanation:
Given expression:
[tex]k^2+16k+64[/tex]
We can write it as:
[tex]=(k)^2+2(k)(8)+(8)^2[/tex]
Using formula [tex]\bold{a^2+2ab+b^2=(a+b)^2}[/tex]
[tex]=(k+8)^2[/tex]
= (k + 8)(k + 8)
[tex]\rule[225]{225}{2}[/tex]
Which survey question could have been asked to produce this data display?
A How much does your dog weigh?
B How many times do you feed your dog each day?
C How many bags of dog food do you buy each month?
D How much does your bag of dog food weigh?
Answers
Answer:
D.
Step-by-step explanation:
I did the test, and the previous answers were incorrect :)
Answer:
The correct answer to this question would be B:
Step-by-step explanation: Have a good day
You deposit $2000 in an account earning 3% interest compounded monthly. How much will you have in the account in 20 years
Answers
Write a fraction the equivalent of 3/10 that has a denominator of 100
Answers
after u divide 30/100 it is equal to 3/10
The radius of a circle is 16 yards. What is the circle's circumference?
Use 3.14 for
Answers
Answer:
100.48
Step-by-step explanation:
2 x 16 x 3.14 = 100.48
what does it mean when something is at most 6
Answers
Answer:
"At most" Means that you met largest possible number that you can use in a number set.
Step-by-step explanation:
Basically 6 is the highest number reached and cant go any higher but it can go lower.
Which of the following has eight faces?
ОО
O A. octahedron
O B. tetrahedron
O C. icosahedron
O D. dodecahedron
Answers
Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent. SSS ASA SAS HL
Answers
Answer: ASA
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalties?
y > –x
y ≤ x + 1
Answers
Answer:
B) (4, -1)
Step-by-step explanation:
A violates the rule of y <= x + 1, because 3 > 1 + 1
C violates the rule of y <= x + 1, because 5 > 0 + 1
D violates the rule of y > -x, because 0 < -(-4) = 4
B conforms to both rules: -1 > -4 and -1 <= 4 + 1.
Answer:
B) (4,–1)
Step-by-step explanation:
A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.
Rename 5/6 and 14/15 using the least common denominator.
Answers
Answer:
[tex]\frac{25}{30}~and~\frac{28}{30}[/tex]
Multiply 5 by 5 to get your first parameter.[tex]5 * 5 = 25[/tex]
Multiply 6 by 5 to get the denominator, or your second parameter.[tex]5 * 6 = 30[/tex]
For the second fraction, [tex]\frac{14}{15}[/tex], you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.[tex]14 * 2 = 28[/tex]
Now, multiply 15 by 2[tex]15 * 2 = 30[/tex]
The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.[tex]25~and~30 -- > \frac{25}{30}[/tex]
[tex]28~and~30-- > \frac{28}{30}[/tex]
________________________________________________________
Finally, the problem is solved. Now that the problem is solved, we review what we just learned not through more problems, though.
________________________________________________________
What have we learned?We learned how to efficiently make fractions' deominators match.
Questions related to this topic? Ask me in the comments box, please!
a
Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 33.5º and the angle of depression from the top of the
building to the furthest point to be 28.3º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)
Answers
The building and the person on it are illustrations of elevation and depression
The height of the building is 76.9 feet
How to determine the height of the building?To calculate the building height, we make use of the attached illustration
Considering the triangle DCB in the figure, we have:
tan(B) = DC/BD
Substitute known values
tan(28.3) = DC/(DA + 100)
Cross multiply
(DA + 100) * tan(28.3) = DC
Divide both sides by tan(28.3)
DA + 100 = DC/tan(28.3)
Subtract 100 from both sides
DA = -100 + DC/tan(28.3)
Considering the triangle DCA in the figure, we have:
tan(A) = DC/DA
Substitute known values
tan(33.5) = DC/DA
Make DA the subject
DA = DC/tan(33.5)
Substitute DA = DC/tan(33.5) in DA = -100 + DC/tan(28.3)
DC/tan(33.5) = -100 + DC/tan(28.3)
Evaluate the tangent ratios
0.56DC = -100 + 1.86DC
Collect like terms
-1.86DC + 0.56DC = -100
Evaluate
-1.3DC = -100
Divide both sides by -1.3
DC = 76.9 feet
Hence, the height of the building is 76.9 feet
Read more about elevation and depression at:
https://brainly.com/question/15580615
Sweet tea put a new batch of cupcakes in the oven at 4:15 cupcakehave to break for 20 minutes what time should sweet tea take cupcakes out of the oven
Answers
A spinner is divided into blue, green, and red parts. George spins the spinner 4300 times. A table of outcomes is shown. 1 Based on this data, what is the estimated probability of the spinner landing on red?
Answers
Answer:
0.34
Step-by-step explanation:
joe saved up 25 his mother gave him an additional 20 he boua movie that cost 15 how much money dose joe have left
Answers
Answer: 30
Step-by-step explanation: Before Joe had $45 in total, He then spent it on a movie which is $15. So $45-$15=30
Answer:
25+20-15=30
Step-by-step explanation:
Here You Go Bud
Simplify 16 - 8 + 5x- 3x
8+8 x
10 x
8 + 2 x
16 + 2 x
Answers
Answer:
8 + 2x
Step-by-step explanation:
To simplify this expression, combine like terms.
16 - 8 = 8
5x - 3x = 2x
8 + 2x
hope this helps :)
Answer:
Because of the x between the 5 and 3 u have to put them in a bracket form or group like terms. After that u subtract the 16 from 8 and the 5x from the 3x so the answer will be equal to 8 +2x because 16-8=8 and 5x-3x=2x so it will be 8+2x
Find the nth term of this quadratic sequence. 3,11,25,45
Answers
Since you know the sequence is quadratic, we can find constants a, b, and c such that the n-th term of the sequence (denoted by f(n)) is
[tex]f(n) = an^2 + bn + c[/tex]
We're given f(1) = 3, f(2) = 11, and f(3) = 25. (We have three unknowns, so we only need three conditions.) Solve for the constants:
[tex]\begin{cases}f(1) = a + b + c = 3 \\ f(2) = 4a + 2b + c = 11 \\ f(3) = 9a + 3n + c = 25 \end{cases} \implies a=3, b=-1, c=1[/tex]
Then the n-th term of the sequence is
[tex]f(n) = \boxed{3n^2 - n + 1}[/tex]
Please ASAP I NEED UNDER 5 MINUTES
58. SIMPLIFYING AND SOLVING Compare and contrast the two problems.
Also need help with 3 problems on top
Answers
Answer:
55. 16 56. 48 57.27
Step-by-step explanation:
You add all the sides that you are given together and then you subtract that from the perimeter given. EX. In question 55 you would do 20+12=32 so 48-32=16.
9) Write the equation of the given line in slope-intercept form:
Answers
Answer:
[tex]y = - 3x - 1[/tex]
Step-by-step explanation:
shown in attachment
bedmas 10+45/9-(14/2)=
Answers
Answer:
8.
Step-by-step explanation:
1. In PEMDAS, parenthesis always comes first. In this equation, 14 divided by 2 is in parenthesis. this equals 7. Now the equation looks like the following: 10+45/9-(7).
3. In this equation, there are no exponents, nor is there multiplication, so we move on to division. The only division left in this equation is 45 divided by 9, which is equal to 5. Now the equation looks like the following:
10+5-(7)
4. Next in PEMDAS comes addition, which in this case is 10 plus 5, which is equal to 15. Equation presently: 15-(7)
5. Lastly, subtraction. 15 minus 7= 8, therefore the overall answer is 8.
Explain why 16 to the power of 1/2 is equal to 4. Give as much detail as possible. FIRST ONE TO ANSWER GETS BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
16^1/2 = sqrt(16) = 4
4*4 = 16