A) The quadrilateral is a trapezoid because it has 2 parallel sides
B) Given that AC and DB are parallel, and AB and CD are congruent, then ∠B and ∠D are congruent too. This means that m∠D = 75°
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
61 meters = _____ feet
I'LL GIVE BRAINLIEST!
Answer:
200.131234
Step-by-step explanation:
5. Find the number of distinguishable arrangements of the letters of the word.
TREDECILLION
Answer:
The word has nine(9) letters with two(2) letters occurring twice each
Step-by-step explanation:
Please mark me brainliest
HELLPPP MEEE ETHIS IS DUE TODAYY
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let \(x\) denote the number of rafts seating 3 people and \(y\) the number of rafts seating 5 people. The total number of rafts is 13, so \(x+y=13\). We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so \(3x+5y=53\).
It's always a good idea to put these equations under each other:
\(\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.\)
We can subtract the first equation three times from the second one to obtain \((3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7\)
Now, substitute this found value for \(y\) into \(x+y = 13\) and we see that \(x=6\). We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
................... rafts
A passenger train left a station traveling East at 70 mph. At the same time, a freight train left the same station traveling West at -60 mph. When the freight train is at –300 miles from the station, how far, in miles, is the passenger train from the station?
Answer:
Step-by-step explanation:
The distance covered by the Passenger train is 528 miles.
We have situation in which a passenger train left a station traveling East at 88 mph and at the same time, a freight train left the same station traveling West at 70 mph.
We have to determine when the freight train is at 420 miles from the station, how far, in miles, is the passenger train from the station.
What is the formula to calculate the time for which body was moving if it covered distance = 'd' miles at a speed = 'v' mph?
The time taken can be calculated using the formula -
t = d/v
According to question, we have ;
For freight train,
Speed = 70 mph
Distance = 420 miles
Therefore, the time taken will be;
t = 420/ 70 = 6 hours
For passenger train,
The freight train moved for 6 hours. Since, both of them started at the same time, therefore,
d = speed of passenger train x time taken by freight train to move 6 hours.
d = 88 x 6 = 528 miles
Hence, the distance covered by the Passenger train is 528 miles
8x - 3y = 12
-8x+3y=5.
Answer:
No solution
Step-by-step explanation:
Given :
8x - 3y = 12-8x + 3y = 5Because we have two variables that can cancel out, we can solve the system using elimination as we can easily add the two equations, cancel out one of the variables and solve for the other.
8x - 3y = 12
+ -8x + 3y = 5
-----------------------
0x + 0y = 17
Simplifying this we are left with 0 = 17
Because no variables can be defined there are no solutions to the equation.
calculate the number of terms in the following arithmetic sequence. 6;1;-4;-9....... -239
Answer:
50
Step-by-step explanation:
Given
first term (a) = 6
Common Difference (d) = 1 - 6 = - 5
Last term (tn )= - 239
Number of terms (n) = ?
We know
Tn = a + ( n - 1 ) d
- 239 = 6 + (n - 1) (-5)
- 239 = 6 - 5n + 5
- 239 = 11 - 5n
5n = 11 + 239
5n = 250
n = 250 / 5
n = 50
The number of terms is 50.
At Central Theatre, the cost of a matinee movie is under $5.50. The cost of a
popcorn is exactly $2.25. Write an inequality for the possible total cost, c, of a
movie and popcorn. Show your work.
Answer:
5.50 + 2.25 ≥ c
Step-by-step explanation
Movie = 5.50
Popcorn = 2.25
C = The total cost
5.50 + 2.25 = C
find the period of y = 2 sin 0-3
Answer:
2π
Step-by-step explanation:
Given :-
y = 2 sinθ - 3And we need to find out the period of it . Now using the form ,
\(:\implies\) y = a sin ( bx - c ) + d
On comparing we have ,
a = 2b = 1c = 0d = -3We can find the period using formula ,
\(:\implies\) Period = 2π/ |b|
\(:\implies\) Period = 2π/|1|
\(:\implies\) Period = 2π
Hence the period is 2π .
3/2-(-3/4)+1/4
solve please
What's the distance between P(-4,3) and Q(6,1). Round to the nearest tenth
Answer:
\(d=10.2\)
Step-by-step explanation:
Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Simply plug in the 2 coordinates into the distance formula to find distance d:
\(d=\sqrt{(6-(-4))^2+(1-3)^2}\)
\(d=\sqrt{(6+4)^2+(-2)^2}\)
\(d=\sqrt{(10)^2+4}\)
\(d=\sqrt{100+4}\)
\(d=\sqrt{104}\)
\(d=2\sqrt{26}\)
\(d=10.198\)
\(d=10.2\)
Convert 135° from degrees to radians.
Answer:
Answer:Radians = Degrees × 3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174 = 2.355
What error did she make?
She simplified the denominator incorrectly. The denominator simplifies to –7.
She labeled the points incorrectly. The point (–7, 4) should be (x1, y1).
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answer:C
Step-by-step explanation:
just got it
Fifteen percent of 168
Answer:
25.2
Step-by-step explanation:
168 x .15 = 25.2
\(\large\text{Hey there!}\)
\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{25.2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Level 1
The ratio of cars to trucks in the student parking lot is 4:3. If there are a total of 210 vehicles in the parking lot, how many cars are in
the lot?
Answer:
120 carsStep-by-step explanation:
This problem is on ratio, and we can use part to the whole to arrive at our answer
given that total vehicles is 210 vehicles
the sum of the ratio of cars to trucks is = 4+3= 7
therefore applying part to the whole formula we have
for cars
4/7=x/210
cross multiply we have
7x= 210*4
x= (210*4)/7
x= 30*4
x= 120
So in all there are 120 cars in the lot
The smoke alarms in an office building need new batteries. Larry has 1,311 batteries. Each office in the building needs 6 batteries. How many offices will get new batteries? How many batteries will be left?
A.
320 offices, 3 batteries left
B.
218 offices, 3 batteries left
C.
221 offices, 1 battery left
D.
218 offices, 5 batteries left
Answer:
C....
Step-by-step explanation:
Please help with my awser asap due soon
Answer:
A. \(\frac{4}{30} in^{2}\)
Step-by-step explanation:
Hope this helps!!!
Please mark brainliest.
PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
Sara and Macki were doing a math activity together in class. They were told to review the two problem solutions shown below and determine which of the two cards is correctly solved.
Which of the two cards is correctly solved?
Answer:
I NEED THE ANSWER
Step-by-step explanation:
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
For more such questions on semi-annually
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Consider the values for the CPI years below: 2008 the value was 215.303 2009 the value was 214.537 Calculate the absolute change for the CPI from 2008 to 2009.
Answer:
\(Absolute\ Change = -0.766\)
Step-by-step explanation:
Given
\(2008\ CPI = 215.303\)
\(2009\ CPI = 214.537\)
Required
Determine the absolute change
Absolute change is calculated as thus:
\(Absolute\ Change = 2009\ CPI - 2008\ CPI\)
\(Absolute\ Change = 214.537 - 215.303\)
\(Absolute\ Change = -0.766\)
Hence:
The absolute change from 2008 to 2009 is -0.766
No links help please how are triangles similar
Both the triangles of the given figure are similar to each other by SAS
( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.
Slope of the both the triangles is (-3/2) .
As given in the question,
For the given diagram of the two triangles,
To prove : Both the triangles are similar to each other.
Side length of the corresponding sides of both the triangles :
Altitude of :
Small triangle : 6 - 3 = 3 units
Big triangle : 3 - (-3) = 6 units
Base :
Small triangle : -2 + 4 = 2 units
Big triangle : 2 - (-2) = 4 units
Corresponding sides are in proportion:
( 3/6) = 1/2 = ( 2 / 4)
And the included between the two sides is equal to 90° ( right angle ).
By SAS ( Side angle Side ) theorem,
Both the triangles are similar to each other.
Now slope of :
Small triangle is equal to,
Consider two end points ( -4, 6) and ( -2 , 3)
Slope = ( 3 -6)/ (-2 + 4)
= -3/2
Big triangle is equal to,
Consider two end points ( -2, 3) and ( 2 , -3)
Slope = ( -3 -3)/ ( 2 + 2)
= -6 /4
= -3/2
Therefore, both the triangles of the given figure are similar to each other by SAS
( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.
Slope of the both the triangles is (-3/2) .
Learn more about triangles here
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Can someone answer this because this one is confusing and I need help.
Answers
A.280 cubic inches
B.1,800 cubic inches
C.180 cubic inches
D.600 cubic inches
your answer would be 180 cubic inches which is option C
Write the expression that represents the sum of
double a number and triple a number.
Answer: let x = the "number"
2x + 3x is the expression
Step-by-step explanation:
Can someone answer this please
Answer:
3x+94+x+18+2x-4=180(being straight line)
6x+108=180
6x=180-108
x=72/6
x=12
Step-by-step explanation:
500 is invested for 11 years and becomes 830 in total what rate of interest was being paid
Answer:
Correct Question :-
500 Rs is invested for 11 years and becomes 830 Rs in total. What rate of interest was being paid?
➤ Given :-
Principle :- 500 Rs
Time :- 11 years
Total amount :- 830 Rs
➤ To Find :-
Rate of interest for the given sum.........
➤ Formula required :-
{ \large \tt \dashrightarrow \orange{ \boxed{ \gray{ \tt \frac{SI \times 100}{P \times T} }}}}⇢P×TSI×100
➤ Solution :-
First, we should find out the simple interest by subtracting the total amount and principle......
Simple Interest :-
{ \tt \longrightarrow 830 - 500}⟶830−500
{ \tt \longrightarrow \sf Rs \tt \: \: 330}⟶Rs330
Now,
Rate of Interest :-
{ \tt \longrightarrow \dfrac{330 \times 100}{500 \times 11} }⟶500×11330×100
{ \tt \longrightarrow \dfrac{330 \times \cancel{100}}{ \cancel{500} \times 11} = \dfrac{330 \times 1}{5 \times 11} }⟶500×11330×100=5×11330×1
{ \tt \longrightarrow \dfrac{330}{55} = \boxed{ \tt 6 \bf\%}}⟶55330=6%
━━━━━━━━━━━━━━━━━━━━━━
\dashrightarrow⇢ Some related formulas :-
Simple Interest :- {\boxed{\tt\dfrac{P \times R \times T}{100}}}100P×R×T
Principle :- {\boxed{\tt\dfrac{SI \times 100}{R \times T}}}R×TSI×100
Time :- {\boxed{\tt\dfrac{SI \times 100}{P \times R}}}P×RSI×100
━━━━━━━━━━━━━━━━━━━━━━
More to know............Simple interest is the extra amount given when a person borrows money from a bank or a person. The person who gives money is called lender. The person who takes money is called borrower.Principle is the amount given at first from lender to borrower.Rate of interest is the extra amount to be given from borrower to lender, it is always written in percentage form.Time is given for the borrower to return back the money with the given interest.
GET T-F OUT OF HERE MATE
Answer:
ok mate
Step-by-step explanation:
Answer:
OI I NEVER LEFT
Step-by-step explanation:
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Two sides of a parallelogram are 6.7 feet and 5.6 feet. The measure of the angle
between these sides is 152°. Find the area of the parallelogram to the nearest 10th of
a square foot.
Step-by-step explanation:
Area parallelogram = a×b×sin (x)
a, b = 6.7 ft and 5.6 ft
x = 152 degrees
so, we have
6.7×5.6×sin(152) = 37.52×sin(152) = 17.61457304... ft²
the rounded area is 17.6 ft².