Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.
For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next
Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
answer the following table:)
Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
SOMEONE HELP ME PLSS !
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.
Answer:
small number = 28/5 or 5 3/5
larger number = 13/5 or 2 3/5
Step-by-step explanation:
x = small number
y = large number
set up a system of equations:
x - y = 3
3y + 2x = 19
using substitution method:
let x = 3 + y
3y + 2(3 + y) = 19
3y + 6 + 2y = 19
5y + 6 = 19
5y = 13
y = 13/5
solve for x:
x - 13/5 = 3
x = 15/5 + 13/5
x = 28/5
IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)
Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Answer:
After 6 minutes the temperature would be 190 degrees.
Step-by-step explanation:
6 x 20 = 120 + 70 = 190.
Answer:
(Answer Below)
Step-by-step explanation:
Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.
The students in the music club sold tickets to their spring concert. The table shows the
amount of money raised and the number of tickets sold by each of four students.
What is the constant of proportionality for the sales?
Answer:
Step-by-step explanation:
You divide the tickets sold and money raised and your supposed to get 5 on all of them . Answer : 5
The constant of proportionality for the sales is 1/5. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table shows the amount of money raised and the number of tickets sold by each of four students.
The constant of proportionality for the sales is
Fawn: 15/85 =1/5
Ryan: 13/65 =1/5
Daisy: 9/45 =1/5
Doug: 6/30 =1/5
Therefore, option D is the correct answer.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ5
Sophia scored 33 points in a basketball game. She scored four more two-point baskets than three-point baskets. Write a system of equations in standard form that models this situation.
How many three-point baskets did Sophia make?
please right step by step :)
Answer:
33=2(4)+3x
8 Three Points
Does anyone the the answer for this ?:)
Answer:
69.08
Step-by-step explanation:
C=2πr
Brainly plss
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Identifying the Graph of an Inequality
Which is the graph of 4x + 2y < 3?
y
4
TY
NA
2
2
2
21
x
41
2
4
-4-2
2.
4
-4
2.
4
2
4
-2
-2
x
Answer:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
__
You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
The graph is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.
To graph this inequality, we can start by graphing the line 4x + 2y = 3.
This line has a slope of -2 (because it can be written in the form
y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).
We can plot this point on the y-axis and use the slope to find other points on the line.
For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).
We can connect these points to graph the line.
Therefore,
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
Learn more about inequalities here:
https://brainly.com/question/20383699
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Divide: 15m^2n + 20mn/5mn
Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?
Answer: It took 13 hours by her to ride 164.45 miles.
Step-by-step explanation:
Total distance = 164.45 miles
Average distance traveled = 12.65 miles per hour (speed)
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]
Hence, it took 13 hours by her to ride 164.45 miles.
Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____
Answer: 1. Add 2. Multiple both sides 3. 15
Step-by-step explanation: hope this helps
Answer: 2 = − 7
4
+ 1
4
x
1.
✔ Add
Start Fraction 7 over 4 End Fraction to both sides.
2.
✔ Multiply both sides
by 4.
The solution is x =
✔ 15
.
Step-by-step explanation: i just did it on ed
In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30
Answer:
Step-by-step explanation:
25% it means 1/4 of the total
1/4 of 80 is 20 (80/4=20)
answer B
GIVING BRAINLIEST PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
Answer:
ans is B sorry if it's direct
help woth this please
Hey again!
The answer to your question is 3.8
We can do 1.9 x 2 = 3.8
Hope it helps! Let me know if you need more help.
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
Find the reflection of the following point over the y-axis: (7, -3)
Answer:
(-7,-3)
Step-by-step explanation:
You keep the -3 since that is the y but the x will become negative because you are reflecting to the left and not the right, making the x then negative.
Answer: (-7,-3)
Step-by-step explanation:
The point (7,-3) is located in the fourth quadrant mean that if you reflect the point across the y a-xis, it should end up in the third quadrant.
If you flip a point over the y axis, the x coordinate switches.
(7,-3) ⇒ (-7,-3)
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
- The new apartment you ałe about to sign a one-year lease on is $1,500 per month. The lease
requires you to put up first month's rent and a $750 security deposit to move in. In addition,
keeping your cat will cost an additional $300 for a pet deposit. How much do you need to write a
check for to the landlord at the time of move in?
Answer:
Total amount = $2550
Step-by-step explanation:
To move in the apartment payments to be done,
1). First month rent = $1500
2). Security deposit = $750
3). Pet deposit = $300
Total payment to be done = 1500 + 750 + 300
= $2550
Therefore, total amount to be paid = $2550
I will write a check of $2550.
12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.
Answer:
VY = 16
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide VX at the ratio of 2: 1 from the vertex V
∴ VY: YX = 2: 1
∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ VY × 1 = YX × 2
∴ VY = 2YX
∵ YX = 8
∴ VY = 2(8)
∴ VY = 16
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
What is the minimum value of the function g (2) = x2 - 6x – 12?
-21
3+ V21
3
3-21
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
Answer:
minimum value is -21; ordered pair of min value is (3, -21)
Step-by-step explanation:
graph the function and find the lowest point on the curve
Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
How many red balloons did Jack use?