Answers
Answer:
99.9 [tex]cm^{2}[/tex]
Step-by-step explanation:
Given, AB=13 cm, BC=4 cm
AC is the diagonal of parallelogram ABCD.
Also AC=16 cm
We know, △ABC≅△ACD [S−S−S Congruence]
Also, area of parallelogram ABCD = Area of △ABC + Area of △ACD
= 2 × Area of △ABC
= [tex]2\sqrt{s(s-13)(s-4)(s-15)}[/tex]
[tex]s= \frac{13+15+4}{2}[/tex] = [tex]2\sqrt{16(16-13)(16-4)(16-15)}[/tex]
= 16 = 99.9
Related Questions
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.
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!
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
20 points
Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder
Answers
f(x) = 2x³+3x²-4x-5
let x + 2 = 0
x = 2
f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5
= 2 × 8 + 3 × 4 - 4 × 2 - 5
= 16 + 12 - 8 - 5
= 15
↪Then the reminder is 15
☆...hope this helps...☆
_♡_Mashi_♡_
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
Learn with an example
Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team
Answers
Answer:
50% chance that they will win each game..and there's 6 games... so 3!
Step-by-step explanation:
Solve each of the quadratic equations.
PT. 1
3x = 0.5x2
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2
D. x = 1.5 x = 0 or x = 6
PT.2
0 = 5x2 - 2x + 6
A. x= 1±3i/2
B. x=1±√11/5
C. x=1±I√29/5
Answers
Answer:
the answer to pt 1 is D. x=1.5 x=0 or x=6
and the answer to part 2 is C. x=1±I√29/5
Step-by-step explanation:
1. The solution of this equation is x = 0 or x = 6 which is option D.
2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.
Use the concept of quadratic equation defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.
The quadratic equation has the following generic form:
ax² + bx + c = 0
1. The given quadratic equation is,
3x = 0.5x²
Rearranging it,
0.5x² - 3x = 0
Common out x,
x(0.5x - 3) = o
Then we have,
x = 0 or,
0.5x - 3 = 0
Add 3 on both sides,
0.5x = 3
Divide both sides by 0.5,
x = 3/0.5
x = 6
Hence the solution of this quadratic equation is,
x = 0 and x = 6 which is option D.
2. The given quadratic equation is:
0 = 5x² - 2x + 6
It can be written as,
5x² - 2x + 6 = 0
Since we know the quadrature formula for ax² + bx + c = 0 is,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here we have,
a = 5
b = -2
c = 6
Substitute values into the formula,
[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]
Hence, option C is correct.
To learn more about quadratic equations visit:
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The complete question is:
Solve each of the quadratic equations.
PT. 1
3x = 0.5x²
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2 or x = 1.5
D. x = 0 or x = 6
PT.2
0 = 5x² - 2x + 6
A. [tex]x = \dfrac{1 \pm 3i}{5}[/tex]
B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]
C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]
Please help me if it is correct I will mark you as brainliest.
ANSWER AS QUICKLY AS POSSIBLE!!!!!!!!
Answers
Answer:
I think X = 35 but I'm not sure if it's not right let me know
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
:)
Question is on the screenshot.
Answers
Tanx =48/80
Tan(angle) = opposite/adjacent
Tanx = 48/80
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
Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
Answers
Answer:
6.25 years
(6 years 3 months)
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $1,500P = $1,000r = 8% = 0.08Substitute given values into the formula and solve for t:
⇒ 1500 = 1000(1 + 0.08t)
⇒ 1500 = 1000 + 80t
⇒ 500 = 80t
⇒ t = 6.25 years
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!
If you can buy 15 bags of potatoes for $20, then how many can you buy with $4?
Answers
Answer:
Step-by-step explanation:
15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4
now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.
OR
you could do 15/20 is 0.75
0.75 times 4 is 3, so $4 can buy you 3 bags.
Answer:
Step-by-step explanation:
Remark
This is a proportion problem. It assumes that if you know 3 of the four parts of a 2 ratio proportion, you can solve for the 4th one.
Givens
number of bags = 15
Cost = 20
Different cost = 4
number of bags = ?
Formula
Number of bags / Cost = different number of bags/ New Cost
Solution
15/20 = x / 4 Multiply both sides by 4
15*4/20 = x / 4 * 4
60/20 = x
Answer x = 3
That is 4 dollars gets you 3 bags of potatoes
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...!!!
60 = y-3 divided by 10
Answers
Answer:
y = 60.3
Step-by-step explanation:
Which comparison is correct?
0.29<0.279
1.32<1.319
0.420>0.42
3.544>3.455
Answers
Answer:
3.544>3.455
Step-by-step explanation:
This is because if you look at the numbers .5 is greater than (>) .4
Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? (1 point)
O a
6+ w
.
b
6 + 5w
Oc
w
6
Od
бw
Answers
Answer:I don’t understand but I think it’s b
Step-by-step explanation:
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.
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...!!
Consider the sequence below:
-4, 2, 8, 14, 20, …
What explicit expression can be used to find the term x of this sequence?
Answers
Answer:
n+6=x
Step-by-step explanation:
Each number is six more than the previous number. Adding six to the previous number, n, gets us the next term in the sequence, x.
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.
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 2Each picture shows a figure and its reflection. Which picture shows the line of reflection?
Answers
Answer:
Bottom left
Step-by-step explanation:
The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
The picture that shows the line of reflection is the image in the bottom left. The correct option is C.
There are four pictures given in the image below A, B, C, and D.
In image A:
The line of reflection goes through the first image and therefore its reflection is not matched.
In image B:
The line of reflection B is available but there is no reflection image present.
In image C:
This picture shows a figure and its reflection.
In image D:
This picture shows a figure but this does not represent its reflection.
Therefore, the correct image is C.
To learn more about the reflection;
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how long would it take an investment of $25000 to amount to $40 000 at a flat rate of 9.5% per annum?
Answers
Answer:
it will take approximately 6.32 annum(years) to reach $40000
Step-by-step explanation:
9.5% of $25000 = $2375
$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000
since you make $2375 each year therefore
$15000 ÷ $2375 will give you the number of years to reach $40000
hence 15000 ÷ 2375 = 6.315
approximately = 6.32 annum(years)
Kevon Webster will bring hamburgers to grill. There are four patties per pound. He buys 28 pounds
How many patties can he make?
Answers
Answer:
112
Step-by-step explanation:
4x28=112
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
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]
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