Answers
Answer:
x = 10, AB = 57
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:
[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]
[tex]13x - 4 = 126[/tex]
[tex]13x = 130[/tex]
[tex]x = 10[/tex]
[tex]5(10) + 7 = 50 + 7 = 57[/tex]
Related Questions
Help! Surface area!!!
Answers
Answer:
6656 cm²
Step-by-step explanation:
6656 cm² is the required answer
Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Convert point Q to polar coordinates (accounting for correct direction):
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]
Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A
Problem 2
Make polar substitutions:
[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]
Hence, the answer is C
Problem 3
Eliminate the parameter:
[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]
Hence, the answer is C
Problem 4
Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:
[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]
Thus, the correct answer is S
Problem 5
Use the formula for multiplying complex numbers in polar form:
[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]
Hence, the answer is A
Problem 6
Determine when the ball first hits the ground:
[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]
Determine the horizontal distance covered by the ball:
[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]
Hence, the best answer is C
Problem 7
The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.
From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.
Review the table on page 3 comparing in-network and out-of-network costs under the Standard Plan. Which statement is TRUE? Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. The costs for in-network and out-of-network doctors are the same for ALL services they offer. The costs for in-network and out-of-network doctors are the same for ALL services they offer. Office visits, immunizations and annual physicals have the same costs for both in-network and out-of-network doctors.
Answers
The true statement is that most insurance plans encourage the use of In-Network doctors by offering lower costs on most services they perform.
What is the meaning of Health Maintenance Organization?An HMO is regarded as an acronym that is used for “Health Maintenance Organization”. It is know to be companies that has been given the power to solely to manage the provision of health care services to the people.
The use of the in-network option is one that tends to save money. The Providers in your network are known to have a form of agreements with your insurance company that tends to make one to save money.
Lean more about insurance plans from
https://brainly.com/question/1941778
Answer: B-Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform.
10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30
Answers
Answer:
35.70
Step-by-step explanation:
because 15% of 42 is 6.3 and 6.3 - 42 = 35.70
Find the inner diameter of the washer.
Answers
The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter
Mensuration of ShapesGiven Data
Outer Diameter = 1 inchPath Distance = 3/20 inchThe inner diameter
= Outer Diameter - 2*Path Distance
= 1 - 2*3/20
= 1- 6/20
= 1- 3/10
= 1/1 - 3/10
Find the LCM we have 10
= 10-3/10
= 7/10 inch
Learn more about shapes here:
https://brainly.com/question/25965491
Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D
Answers
Yes, I guess so.
Hope this helps!
Answer:
yea actually what if she turned?- but yea its 0 so D
Step-by-step explanation:
Dianne has $0.95 in dimes and nickels . She has a total of 11 coins . How many of each kind does she have ?
Answers
Answer:
8 dimes and 3 nickels
Step-by-step explanation:
If we change $0.95 to $0.9 + $0.05, we get 9 dimes and 1 nickel. However, that is only 10 coins. We can then try 8 dimes and 3 nickels. When you add them up, they equal $0.95. Also, there are 11 coins in total. Therefore, 8 dimes and 3 nickels is the answer.
I hope this helps and please mark me as brainliest!
Trevor, Lucy, and james want to make a total of 50 paper airplanes. the table shows how many they have made so far. how many more paper airplanes do they need to make
Answers
you didn't show the pic
hope you understood...!!!
The expression below is a sum of cubes.
64x^3 + 125
A. True
B. False
Answers
Answer:
A True
Step-by-step explanation:
[tex]4^{3} x ^{3} + 5^{3} [/tex]
5, 5, 9, 11, 13
Mean:
Median:
Range:
Answers
Answer:
The median is 9
The Range is 13-5=8
The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6
Mr. Oppong makes monthly payments into his savings account. He saved Gh¢800.00 in the second month, Gh¢3,200.00 in the third month and he continued in tha same proportion in subsequent months. In what month would his savings first exceed Gh¢20,000.00?
Answers
Answer:
5th month
Step-by-step explanation:
the relationship between the second and third month is that the 2nd month's salary was multiplied 4 to get the third month's salary
therefore the salaries for the next months will be
4th month=Gh¢12800.00
5th month=Gh¢51,200.00 which exceeds 20,000
Freemont Run Club surveyed a random sample of
30
3030 of their members about their running habits. Of the members surveyed,
9
99 said that they run more than
5
55 days a week. There are
84
8484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than
5
55 days a week?
Answers
Answer:
24 for estimate, the accurate is 25.2
Step-by-step explanation:
surveyed total = 30
9 = run 5> days a week
84 = total members
9/30 = percent of members who run 5> days a week
9/30 => 3/10
percent of members who run 5> days a week * total members = number of members who run 5> days a week
3/10 x 84 = 25.2 members
84 = 80
3/10 x 80 = 24
24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.
Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)
Answers
Answer:
Function BStep-by-step explanation:
Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6Rate of change
(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17Rate of change
(17 - 5)/(4 - 2) = 12/2 = 6Since 6 > 5, the function B has greater rate of change in the given interval
Answer:
Function B
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore: a = 2 and b = 4
Function A
From inspection of the given table:
f(2) = -4f(4) = 6Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]
Function B
Given function: [tex]y=2^x+1[/tex]
[tex]\implies f(2)=2^2+1=5[/tex]
[tex]\implies f(4)=2^4+1=17[/tex]
Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]
As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4
Answer the Graph based Question I will make Brainliest + 50 points
Answers
Answer:
Here is the answerStep-by-step explanation:
Brainlest me please
#a
Take one coordinate and solve
(-3,5)So
y=x²-k5=(-3)²-k5=9-kk=9-5k=4Take another
(-2,0)So
y=x²-k0=(-2)²-k4-k=0k=4Hence k=4
#b
Graph attached
#c
Turn to vertex form
y=x²-4y=(x-0)²-4Compare to vertex form
y=a(x-h)²+kSo
Vertex(h,k)=(0,-4)#d
At no intervals of x the graph decreases negatively
Because
a is positive (+1) parabola is opening upwards#d
y=4-k²y=2²-k²y=(2+k)(2-k)So if y be 0
x intercepts are
(-2,0) and (2,0)Zeros are
-2 and 2Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour
Answers
Answer:
18000 m
Step-by-step explanation:
Hey there!
In order to solve this problem, we need to first know how many minutes are in an hour
As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times
So 9000 two times is 18000,
Meaning, in 1 hour, Sam will climb 18000 m
Answer:
18,000m in an hour
Step-by-step explanation:
We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.
What is the area, in square feet, of the rectangle shown below
Answers
Answer:
Step-by-step explanation I can answer if you pin in the pic below
simplify 3(r + 4) - 5r
Answers
Answer: 12-2r
Step-by-step explanation:
3r+12-5r
= -2r+12 or 12-2r
Answer:
-2r + 12
Step-by-step explanation:
simplify 3(r + 4) - 5r
3(r + 4) - 5r <== distribute first
3(r) + 3(4) - 5r
3r + 12 - 5r <== combine like terms
-2r + 12 <== final answer
Hope this helps!
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answers
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?
Answers
Your chances of having the disease:-
1/100000.0001So your current probability:-
0.0001(0.1)0.00001Answer:
Step-by-step explanation:
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
Find the value of k so that the quadratic inequality x² + 14x + k < 0 only for x is an element of [-11,–3]
Answers
Answer:
x²+14x+33<0.
Step-by-step explanation:
1) according to the condition x=-11 and x=-3 are zeros of the function y=ax²+bx+c;
2) if -3;-11 are zeros, then (-3)*(-11)=c ( already a=1; b=14). Then
3) x²+14x+33<0.
(n-1 +7) simplify plssss helppp
Answers
Answer: n+6
-1 + 7 = 6
So therefore, the answer is n+6
Hope this helped
Answer:
[tex]\boxed{\sf{n+6}}[/tex]Step-by-step explanation:
To solve this problem, first, you have to do is isolate it on one side of the equation.
(n-1+7)First, remove parentheses.
→ n-1+7
Add the numbers from left to right.
→ -1+7=6
→ n+6
Therefore, the final answer is n+6.I hope this helps you! Let me know if my answer is wrong or not.
The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)
Answers
Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:
P(blond) = 4/18 = 2/9
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?
Answers
Answer:
10, 41, 42
Step-by-step explanation:
(n)+(4n+1)+(5n-8)=93 because triangle perimeter
10n-7=93
10n=100
n=10
Answer: 10 cm, 41 cm, and 42 cm
Step-by-step explanation:
We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.
Perimeter of a triangle:
P = side a + side b + side c
Plug in our known values:
93 cm = (n) + (4n + 1) + (5n - 8)
Simplify and combine like terms:
93 cm = n + 4n + 1 + 5n - 8
93 cm = n + 4n + 5n + 1 - 8
93 cm = 10n -7
Add 7 to both sides of the equation:
100 cm = 10n
Divide both sides of the equation by 10:
10 cm = n
n = 10 cm
-
Solve for the lengths of each side:
n = 10 cm
4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm
5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm
The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.
Answers
Answer:
The numbers are 8 , 5 , 1
Step-by-step explanation:
Let the three numbers be x,y,z
Sum of three numbere is 14
⇒ x +y + z = 14 ---------------(I)
The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.
⇒ 2x + 4y + 5z = 41 -----------(II)
The difference between 7 times the first number and the second number is 51.
⇒ 7x -y = 51 ---------------(III)
Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.
(I)*(-5) -5x - 5y - 5z = -70
(II 2x + 4y + 5z = 41 {Now add}
-3x - y = - 29 ------------(IV)
Multiply (III by (-1) and then add it with equation (IV)
(III)*(-1) -7x + y = -51
(IV) -3x - y = -29 {Now add}
-10x = -80
x = -80 ÷ (-10)
x = 8
Plugin x = 8 in equation (III) and we obtain the value of y
7*8 - y = 51
56 - y = 51
-y = 51 - 56
-y = -5
y = -5 ÷ (-1)
y = 5
Plugin x =8 and y =5 in equaiton (I)
8 + 5 + z = 14
13 + z = 14
z = 14 - 13
z = 1
60 = y-3 divided by 10
Answers
Answer:
y = 60.3
Step-by-step explanation:
d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]
Answers
42
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:[tex]14\times 3\div 1[/tex]
______________________________________________
Calculate
[tex]14\times 3[/tex]
______________________________________________
Calculate the product or quotient
[tex]42[/tex]
I hope this helps you
:)
Using proportions to solve for missing sides.
RST~YSZ, find YZ.
Answers
Answer:
YZ = 28
Step-by-step explanation:
A proportion involving the known and unknown sides is ...
TR/ST = ZY/SZ
__
This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...
SZ +ZT = ST . . . . . . . segment sum theorem
SZ + 5 = 40 . . . . with given values
SZ = 35 . . . . . subtract 5
__
So, the proportion with values filled in is ...
(3x -7)/40 = (2x +2)/35
7(3x -7) = 8(2x +2) . . . . . . . multiply by 280
21x -49 = 16x +16 . . . . . . . eliminate parentheses
5x = 65 . . . . . . . . . . add 49 -16x
x = 13 . . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
_____
Additional comment
RT = 3x -7 = 3(13) -7 = 32
Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card, and 11 customers used a credit card. If next week, he is expecting 900 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
Answers
Answer:
268
Step-by-step explanation:
11/37=credit card
11/37=x/900
900 divided by 37=24.3
24.3 times 11=267.56
round it to 268
what is the weight of a 55 kg person on earth where the acceleration due to gravity is 9.8m/s²
Answers
Answer:
The weight of an object is the force of gravity exerted on that object. The mass of an object is the amount of matter it has, and it stays the same wherever you are, regardless of gravity.[1] That's why an object that has 20 kilograms of mass on earth also has 20 kilograms of mass while on the moon, even though it would only weigh 1/6 as much. It weighs 1/6 as much on the moon because the force of gravity on the moon is 1/6 of what it is on Earth.
Step-by-step explanation:
Answer:
your mother
Step-by-step explanation:
The logical answer would be your mother because 9.8m/s^2 x 55 would equal your mother weight, 539 squared pounds.
What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie
Answers
option A
hope it helps...!!