Answer:
length: 13 cm
width: 5 cm
Step-by-step explanation:
You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:
5 cm wide; 13 cm long
__
If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...
A = LW
65 = (2w+3)(w)
In standard form, this equation is ...
2w^2 +3w -65 = 0
To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...
-130 = (-10)(13)
Then the factored equation is ...
2w^2 +13w -10w -65 = 0
w(2w+13) -5(2w+13) = 0
(w -5)(2w +13) = 0 ⇒ w = 5, -13/2
The positive solution makes sense in this problem, so ...
width = 5 cm
length = 2(5) +3 = 13 cm
Fill in the blank f(x)=2x+1, then f(___)=13
Answer:
if f(x)=2x+1 then insert 6 in x
f(6)=2*6+1
f(6)=13
so the answer is 13
Two angels in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of there interior angles?
Answer:
45°, 45°, 90°
Step-by-step explanation:
You have described an isosceles right triangle. The angle measures are ...
45°, 45°, 90°
_____
If x is the smaller angle measure, then the total of angles is ...
x + x + 2x = 180°
x = 180°/4 = 45°
In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).
Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answer:
by the definition of congruence.
Step-by-step explanation:
for plato
Really need help pls ty
Answer:
1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left
2: They are at each exibit for 51 min
Hope this helps: :)
-9 - 5 this would help me a lot please
Answer:
-14
Step-by-step explanation:
Think of it like this-
subtracting a negative is like adding a positive, so all you have to do is add a negative sign to the sum after solving these sort of problems :>
Hope this helps!
On a number line, where would 2/10 be located? Choose all answers that make
a true statement.
help :( explain the meaning of -500 in context to the problem,
a plane flies directly from a city in Pennsylvania to a city in Ecuador. the equation below estimates the distance (d), In miles, from the city in Ecuador of the airplane (t) hours after taking off from the city in Pennsylvania
d=2565-500t
The equation of the distance of the plane from the city in Ecuador is a
linear equation that has a constant rate of change.
The -500 is the rate at which the distance of the plane from Ecuador changes every hour.Reasons:
The equation that estimates the distance of the plane from the city in
Ecuador is d = 2565 - 500·t
Where;
d = The distance in miles from the city in Ecuador
t = The time in hours after taking off from the city in Pennsylvania
Required:
The meaning of -500 in the context of the problem.
Solution:
By using dimensional analysis, we have;
Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in
miles.
Therefore, -500 is in miles per hour, which is the speed of the plane.
The -500 therefore, in the context, is the number of miles, the rate, by
which the plane becomes closer to the city in Ecuador every hour.
Learn more rate of change here:
https://brainly.com/question/1388646
We can analice through a dimensional evaluation, every term in any equation.
Solution is:
The term - 500 × t
represents, the quantity of miles travel in the time t
Looking carefully each term in the equation:
d = 2565 - 500×t
And knowing:
d, is distance in milest, is time in hoursThe fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxesWe are able to answer the question.
Then in the expression
d = 2565 - 500×t
As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane), and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.
For instance if t = 1 hour
d = 2565 miles - 500 (miles)/hour × 1 (hour)
As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).
For the whole trip
d = 2565 miles then total fly time is:
2565 (miles)/ 500 (miles/hour)×t
To get . t = 5.13 h
Related link:https://brainly.com/question/8956323
A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
What is the area of the triangle formed by his path?
round to the nearest hundredth.
for Acellus!!!
Answer:
I think it's 28,700,000 feet
Step-by-step explanation:
Answer:
34,971.99
Step-by-step explanation:
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 points on the line
Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
y=7 x=8
Step-by-step explanation: hope you do well in school
An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current
The current flowing in the AC circuit is 0.11 A.
The given parameters:
Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 HzThe impedance of the circuit is calculated as follows;
[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]
The current in the AC circuit is calculated as follows;
[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]
Thus, the current flowing in the AC circuit is 0.11 A.
Learn more about AC circuit here: https://brainly.com/question/14341432
A movie theater is splitting
cups 30 of popcorn into 18
bags. How much popcorn
will each bag holde
Answer:
30/18=1 2/3 cups of popcorn in each bag
Hope This Helps!!!
sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have
a- 48
b-36
c- 24
d- 12/48
e-3
Answer:
a - 48
Step-by-step explanation:
12 cups are divided into 1/4 cup bags.
Converting 12 into a fraction, you get:
12/1 divided by 1/4.
When we divide fractions, we flip the second fraction and change the operation to multiplication.
12/1 * 4/1.
Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.
12 * 4 = 48.
In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made in his game?
Answer:
0.6
Step-by-step explanation:
3/5=0.6
4. Out of the 75 people who baked
Christmas cookies, forty six percent
burned the cookies. How many people
burned their cookies?
Answer:
34.5 people
Step-by-step explanation:
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
How much profit will Ron make from each portrait he paints (not including the daily
fee that the mall charges him)?
$12.00
$12.25
$12.50
$13.00
Answer:
$12.25
Step-by-step explanation:
$12.25
How do you write 1.75 trillion, 1.75 quadrillion
Answer:
1) 1750000000000
2) 1750000000000000
Step-by-step explanation:
For definition of trillion and quadrillion.
14 divided 4 and 7/8 written in simplest form
Answer:
7 and that is its simplest form
Step-by-step explanation:
thank me later
Answer:
4
Step-by-step explanation:
14 ÷ 4 = 3.5
3.5 and 7/8 = 4
the distance between(3,-3) and (-3,5)
Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 20 minutes?
Step-by-step explanation:
https://youtu.be/wghLO8hQZrA
watch this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about
-6 = 1/4w -1/2 solve for w
help me out guys!!!!!!!
Answer:
[tex] \frac{5 \sqrt{11} }{11} [/tex]
you are correct !!
Find the probability of selecting a 3 or 4 when a single die is rolled once
Answer:
1/3
Step-by-step explanation:
there are 6 sides to a die : 1, 2, 3, 4, 5, 6.
as one can interpret, 3 & 4 take up 2 parts of the 6 possible options
each result has equal oppurtunity to occur
so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
If I have a 1/4 chance of winning a bet, but lose it 40 times in a row, what percentage chance is that?
What is the percent decrease from 95 to 68 round to the nearest percent
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.
[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]
[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]
[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]
[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]
Hence, The answer will be -28.42℅[tex]\qquad[/tex]_________________________
Waluigi's Towing Service charges $38.51 for its hook-up fee plus $35.21 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 35.21m + 38.51. Which value in the equation represents the rate of change?
A .. The number of miles towed
B .. $38.51
C .. $35.21
D .. $73.72
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept