Answer:
Step-by-step explanation:
The two lengths of the rectangle ABCD will be 12 and 24
What will be the length of the rectangle?It is given that
The perimeter of the rectangle
P=72 units
The ratio of the length
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
Now from the formula of the perimeter of the rectangle
[tex]P= 2(a+b)[/tex]
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
[tex]b=2a[/tex]
[tex]2(a+2a)=72[/tex]
[tex]6a=72[/tex]
[tex]a=12[/tex]
[tex]b=2\times 12=24[/tex]
Thus the two lengths of the rectangle ABCD will be 12 and 24
To know more about rectangles follow
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Pretty simple question, but how the hell am I supposed to know whether to put an addition sign or a subtraction sign.
Answer:
you must remember + and + equal to minus
If 3x-y=12, what is the value of
[tex] \frac{8 ^{x} }{2^{y} } [/tex]
A) 2^12
B) 4^4
C) 8^2
D) The value cannot be determined for the information
Answer:
2¹² (Option A)
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
Any number having 0 as its exponent , the overall result will be 1. For e.g. :- [tex]a^0 = 1[/tex] (where 'a' is any number).Lets say there's a number 'a' having '- x' as its exponent , then - [tex]\frac{1}{a^{-x}} = a^x[/tex]__________________________________________________________
Lets put random values in place of x.
Let x be 0.
Putting x = 0 in the eqn. 3x - y = 12 gives the value of y.
[tex]=> 3 \times 0 - y = 12[/tex]
[tex]=> -y = 12[/tex]
[tex]=> y = -12[/tex]
So, we can conclude that by putting x = 0 , we get y = -12.
Now , putting x = 0 & y = -12 in [tex]\frac{8^x}{2^y}[/tex] gives -
[tex]=> \frac{8^0}{2^{-12}} = \frac{1}{2^{-12}} = 2^{12}[/tex]
does anyone know how to do this?
Answer:
So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions
Step-by-step explanation:
Find the measure of the listed angles below.
Answer:
30,90
Step-by-step explanation:
because it all adds up to 180
Answer:
E and I are alternate interior angles, therefore are congruent
m∠E = m∠I = 60°E and F are complementary, therefore add to 90°
m∠F = 90° - 60° = 30°H and I supplementary, therefore add to 180°
m∠H = 180° - 60° = 120°15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the
end of the day they have 21 hot dogs left. How many hot dogs did they sell?
PLEASE HELP WILL MARK BRAINLEST!
Answer:
Step-by-step explanation:
The first thing to do is convert to a common denominator.
So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.
In 2010, Cornfield Farms produced 175,000 bushels of corn. Each year since 2010, their total corn harvest has increased by 2.5% over the previous year.
Write an exponential function, f(x), that models the number of bushels of corn produced x years after 2010.
Enter your answer by filling in the boxes.
f(x)= · ( )x
Answer:
f(x)=(2.5)x
Step-by-step explanation:
x equals the number of years after 2010, and every year after 2010 their total corn harvest increases by 2.5%, so you would have 2.5 multiplied by however many years after 2010 it is
The exponential function f(x) that models the number of bushels of corn produced x years after 2010 is f(x) = 175000(1.025)^x
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
We can use compound interest formula whenever there is compounding (increment or decrement) per unit time.
Here, the initial amount of production farm was doing in 2010 is 175000 bushels of corn.
This value increases by 2.5% per year.
We need the final number of bushels of corn that will be produce x years after 2010.
So, here, we can take P = 175000, R = 2.5, and T = x
Then, we get:
[tex]f(x) = A = 175000\left(1 + \dfrac{2.5}{100}\right)^x\\\\f(x) = 175000(1.025)^x[/tex]
Thus, the exponential function f(x) that models the number of bushels of corn produced x years after 2010 is [tex]f(x) = 175000(1.025)^x[/tex]
Learn more about compound interest here:
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Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is correct a mystery picture will appear. (Zo om in for bigger picture of dimensions)
Answer:
#1
Surface area is the sum of 3 rectangles and 2 triangles:
S = 8*6 + 9*6 + 8*3 + 2(1/2*3*6) = 144 ft²#2
Surface area is the sum of 1 square and 4 triangles:
S = 5*5 + 4*(1/2*3*5) = 55 ft²Factor each expression below.
a. 16x − 4 =
b. −10x 5x2 =
c. 30y − 24x =
A) Answer:
4 (4x - 1)
B) Answer:
-5x ( 2 + x )
C) Answer:
6 (5y - 4x)
hope it helped.
help please!! i need this last one to finish!!!! 44 points!!
Answer:
The point is at about (4.5, 100).
Step-by-step explanation:
Minka's line is p = 22t, which has a y-intercept of 0.
Kenji's line is p = 50 + 11t, which has a y-intercept of 50.
Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).
You can find this point by setting the two equations equal to each other:
22t = 50 + 11t
Subtract 11t from both sides.
11t = 50
t = 50/11 ≈ 4.545
Then you can find the p value for this point by plugging t = 4.545 into either equation.
p = 22(4.545) = 99.99
p = 50 + 11(4.545) = 99.995
On the graph the point is about (4.5, 100).
Solve 2sinx^2-5sinx-3=0
Answer:
3
Step-by-step explanation:
The answer my Math 4 teacher gave me. :) work with it
Is 17/34 and 32/64 proportional why or why not?
Answer:
Yes
Step-by-step explanation:
Both equals to 1/2
That's the answer
which sequence of transformations creates the function g(x) = .....
Step-by-step explanation:
f(x)= square root of x
g(x)= - square root of -1/2x+3
PLEASE HELP ASAP <33
Answer:I don't know this one
Step-by-step explanation:
Solve for x :)))))))
Answer:
18
Step-by-step explanation:
X/24 = 36/48
X/24 = 3/4
X = 3/4 × 24 = 18
List the 5 ways we can show that two triangles are congruent.
Answer:
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. If any two angles and the included side are the same in both triangles, then the triangles are congruent.
(side, side, side) we have two triangles with all three sides equal. ...
(side, angle, side) ...
(angle, side, angle) ...
(angle, angle, side) ...
(hypotenuse, leg)
Step-by-step explanation:
this is crazy lol
please help me with this
Answer:
3. 7
4. 9
5. 19
6. 15
7. 40
8. 32
9. 100
10. 18
11. 500
12. 125
Step-by-step explanation:
Write the expressions in standard form. SHOW ALL STEPS! The sum of 9t – 13 and the opposite of 9t.
Answer:
-13
Step-by-step explanation:
Opposite of 9t = -9t
Taking the sum of 9t - 13 and -9t
Sum = 9t - 13 + (-9t)
Sum = 9t - 13 - 9t
Sum = 9t-9t - 13
Sum = -13
Hence the expression in standard form is -13
Felix drove 68 mies in 1 hours
He had a 30-minute break and then drove a further 40 miles in 45 minutes.
Work out his average speed for the whole joumey
Give your answer in:
a) miles per hour
b) kilometres per hour
C)metres per second.
Answer:
Step-by-step explanation:
30 minutes every three fourths of an hour
help help help help help help
Answer:
3
Step-by-step explanation:
I do not really know how to explain it but if you really need an explanation let me know.
Hope this helps :)
What do you think my favorite color is
( The closest one will get Brainieliest)
Answer:
teal?
Step-by-step explanation:
Answer:
Black , Blue or White
Step-by-step explanation:
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
C seems right to me
Step-by-step explanation:
I purchased a new gaming system on opening night. Sincel amore of the first 100 customers to purchase the system, the store gives me a 20% discount off of the regular cost. Il pay $500 for the gaming system at the discounted price, what is the regular cost of the gamning system?"
Answer:
Answer:
2500
Step-by-step explanation:
50020%50020%
Convert 20%20% to a decimal.
5000.25000.2
Divide 500500 by 0.20.2.
2500
PLS help me
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Answer:
You would multiply (3 times 17) and then add 5. So the equation would look like this.
m=(3*17)+5 Step-by-step explanation:
Answer:
3x 17
do that first then add 5
Step-by-step explanation:
hope this helps
have a nice day/night
After substituting, what is the first operation performed by hen evaluating 5+(9x-3) divided by 2 for x=5?
Addition
Multiplication
Subtraction
Division
Susan bikes 3 miles round-trip from home to school, Monday through Friday. On Saturday and Sunday she does not ride her bike, but skateboards around her neighborhood. How many miles total does she bike to and from school each week?
Answer:
15 miles
Step-by-step explanation:
5 days times 3 miles per day.
the saturdat/Sunday skateboarding stuff is irrelevant to the question asked
It took Jonah three hours and 45 minutes to drive 240 miles. What was Jonah’s average speed in miles per hour?
Answer:
Step-by-step explanation:
Jonah drove 3 h and 45 min, or 225 minutes
He drove 240 miles
225 minutes...................................240 miles
60 minutes(1H)......................................? miles
(60*240)/225=64
he drove 64 miles per hour
Please help me with this!!
Answer:
transversal angle
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
24 in
Step-by-step explanation:
Perimeter = 9 + 5 + 1 + 5 + 4 = 24 in
Hope that helps!
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2 ans ......
Step-by-step explanation:
Solution:
= ³√9-1
= ³√8
= 2 ans....
Answer:
[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]
Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?
Answer: 78
Step-by-step explanation:
Given
Mrs. Lee has [tex]132[/tex] students
On a particular day, one-fourth of her students are sick i.e.
[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]
and 24 were on a field trip.
The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.
[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]