Answer:
Length will be 46 ft and width will be 16 ft
Explanation:
Let the width be x.
then the length will be 3x - 2
using the rectangle perimeter formula:
2( length + width )
2(x + 3x-2) = 124
2(4x-2) = 124
8x - 4 = 124
8x = 128
x = 16 ft
Width will be 16 ft and
Length: 3x - 2
: 3(16)-2
: 46 ft
ATQ
[tex]\\ \tt\hookrightarrow 2(n+3n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 2(4n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 4n-2=62[/tex]
[tex]\\ \tt\hookrightarrow 4n=64[/tex]
[tex]\\ \tt\hookrightarrow n=16[/tex]
Width=16Length=46 .(4x+3)^2=225^2
Simplify and find the solution
Answer:
hi is this correct please let me know
Step-by-step explanation:
4x
4
+91x
2
−225=0
Substitute t for x
2
.
4t
2
+91t−225=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 4 for a, 91 for b, and −225 for c in the quadratic formula.
t=
2×4
−91±
91
2
−4×4(−225)
Do the calculations.
t=
8
−91±109
Solve the equation t=
8
−91±109
when ± is plus and when ± is minus.
t= 49
t=−25
what is an angle? how do you describe an angle?
Answer:
An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
"in any triangle, the longest side is opposite the largest angle"
Step-by-step explanation:
Answer:
an angle is a In-plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. An angle is denoted using the symbol. and you can describe an angle by looking for the figure formed by two rays meeting at a common end point.
Step-by-step explanation:
hope this helps you
solvemath ttttttttttttttttttttttttttttttttttttttttt
Answer:
Step-by-step explanation:
1)5^1/3*3 = 5^3/3 = 5
2) 5+x=2 =>x=2-5 => x=-3
3)2*1/2^2*4^4 => 2*1/4*256 => 0,5*256 = 128
4) Rule!Any number to the power 0 is equal to 1; and 1 to any power will always give 1. => 1^5 =1.
5)x^(-6)-(-4) => x^-2 ; x^(-2)+3=x
y^5-8=y^-3
=>z^3/ x^2*y^3
z^0=1
x/y^3
Guavas 25% Oranges 40% Bananas 15% Apples 20% What fractions of students prefer Apples?
Answer:
20/100=1/5 the fraction of students who prefer apples is 1/5
The Martinez family ate at a restaurant. The cost of the meal was $34.50. The sales tax was 6% of the cost of the meal. They left a tip of 15% of the cost of the meal plus tax. What was the total cost of the meal, tax, and tip?
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $42.06 btw)
1. observe problem
The Full price is:
The Subtotal + the Subtotal*tax
so,
34.50+34.50*0.06=
36.57
The Full price plus tip is
Full price + Full price * tip percentage
so,
36.57+36.57*0.15
Which is
$42.0555
Rounded to is
$42.06
Answer 1a please and thank you
Answer:h
Step-by-step explanation:
j
Laura invests $2,000 in a bank account where she earns simple interest at a rate of 6.4% per year.
1. In total, how much interest will Laura receive after 18 years?
2. In total, how much will be in Laura’s account after 30 years?
1)
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &18 \end{cases} \\\\\\ I = (2000)(0.064)(18)\implies I=2304[/tex]
2)
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &30 \end{cases} \\\\\\ A=2000[1+(0.064)(30)]\implies A=2000(2.92)\implies A=5840[/tex]
Answer:
after 18 years : $477,685.19
after 30 years: $661,353.82
Step-by-step explanation:
interest formula: A=P(1+r/n)^nt
so...
2000(1+6.4/18)^18 = 477685.1913 rounds to $477,685.19
2000(1+6.4/30)^30 = 661353.8157 rounds to $661,353.82
A data set is shown in the table. The line of best fit modeling the data is y = 2. 69x – 7. 95. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5. 1, negative 3. 2, 1. 0, 2. 3, 5. 6. What is the residual value when x = 3? –0. 88 –0. 12 0. 12 0. 88.
Answer The awnser is the 2x69, by 75 and 35 by 39x4 and 3 5ths .
Step-by-step explanation:
Please answer this (who ever answers correctly gets brainlest)
Answer:
3.6 ft = 43.2 inches
3.6 ft = 1.2 yards
Explanation:
Every foot is 12 inches. 3.6 * 12 = 43.2
To find yards, divide the feet by 3.
3.6 / 3 = 1.2
NEED HELP ASAP
Given G (-6,5) and H (2, -7), what is the length of GH
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given}}[/tex]
We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )[tex]\bold{\underline{To \: Find :- }}[/tex]
We have to find the length of GH[tex]\bold{\underline{Let's \: Begin :- }}[/tex]
The coordinates of G = ( -6 , 5 )
The coordinates of H = ( 2 , - 7 )
According to the distance formula, we get :-
[tex]\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}[/tex]
Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7Subsitute the required values in the above formula
[tex]\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}[/tex]
[tex]\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}[/tex]
[tex]\sf{Distance\:GH=√(-8)^2+(12)^2}[/tex]
[tex]\sf{ Distance \:GH =√64 + 144 }[/tex]
[tex]\sf{ Distance \:GH =√ 208}[/tex]
[tex]\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}[/tex]
[tex]\sf{ Distance \:GH = 4√13}[/tex]
[tex]\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}[/tex]
What is the slope of the line that passes through the points (-4, -1) and (4, 5)?
a) 4/3
b) 3/4
c) -3/4
d) -4/3
Answer:
3/4
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5 - -1)/( 4 - -4)
= ( 5+1)/(4+4)
= 6/8
= 3/4
8) Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write the expression that
represents the total number of nickels Casey and Megan have. Use an expression bubble.
PLEASE HELP GIVING A GOOD AMOUNT IF POINTS
Answer: 5n nickels
Step-by-step explanation:
Since Casey has n nickles and Megan has 4 times as much, Megan has 4*n nickels = 4n nickels. The total ampunt = n+4n = 5n nickels.
Distribute. 8(3x + 9)
Answer:
24x + 72
Step-by-step explanation:
Hello. I have tried everything and I still can't find the right answer. Can somebody please explain how to do this to me? Thanks so much!
we know that opposite sides are parallel, or namely that the figure is a parallelogram, meaning as well that opposite sides are equal, Check the picture below.
Find the slope of the graph
Answer: The slope of the graph is -2
Step-by-step explanation:
Take any two points from the graph, and do rise/run
For example, we take (1,3) and (2,1)
Apply rise/run... rise: 2, run: -1
2/-1 = -2
m = -2
For the next question, the slope is 4
And the last question, the slope is 1 1/2
Hope this helped!
 The square of an odd number is always odd
Try Examples with three odd numbers to check this conjecture And find where it’s false
Do you believe it’s true or false
Explain why it’s true or false
Answer:
True
Step-by-step explanation:
3² = 9 ⇒ odd
7² = 49 ⇒ odd
9² = 81 ⇒ odd
Therefore, the square of an odd number is always odd.
Proof
If n is an odd number, it can be written as n = 2k + 1, for some integer k.
Therefore, n² = (2k + 1)²
= 4k² + 4k + 1
= 2(2k² + 2k) + 1
As 2(2k² + 2k) + 1 is odd, this proves that the square of an odd number is always odd.
Triangle A has a height of 2.5cm and a base of 1.6cm. The height and base of triangle B are proportional to the height and base of triangle A. Which of the following could be the height and base of triangle B?
Answer:
I THINK ( A ) IS CORRECT ANSWER
I THINK ( A ) IS CORRECT ANSWERHOPE THIS HELPS U!!!
1. A buoy floats 19 yards from the eastern most point of a boat and 15 yards from the western most point of a second boat. The angle formed from the buoy to the two boats 108o. What is the other angle measure that is formed with the buoy? (Law of Sines or Law of Cosines Problem)
2. A helicopter flies between two islands that are 20 miles apart. The angle of elevation with one island is 15o and 35o with the second island. What is the mileage of the helicopter? Round your answer to the nearest tenth of a mile. (Law of Sines or Law of Cosines Problem)
The laws of cosines and law of sines can be used given that two sides
and an included angle, or two angles a side are known.
Response:
1. The other angles in the triangle formed by the buoy are approximately;
31.1° and 40.9°2. Distance of the helicopter from the first island is approximately;
14.5 milesHow is the Law of Sines and Cosines used?Given parameters are;
Distance of the buoy from the easternmost point of a boat = 19 yards
Distance of the buoy from the westernmost point of the other boat = 15 yards
Angle formed from the buoy to the two boats = 108°
Distance between the two boats, d, is given by the law of cosines, as follows;
d² = 19² + 15² - 2 × 19 × 15 × cos(108°) = 586 - 570·cos(108°)
d = √(586 - 570·cos(108°))
By the law of Sines, we have;
[tex]\dfrac{d}{sin(108^{\circ})} = \mathbf{\dfrac{15}{sin(Angle \ formed \ from \ the \ boat \ on \ the \ West, \ \theta_1)}}[/tex]
Which gives;
[tex]sin(\theta_1) = \mathbf{ \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} }}[/tex]
The o
[tex]\theta_1 = arcsin \left( \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} } \right) \approx \mathbf{31.1^{\circ}}[/tex]
The other angles formed in the triangle containing the buoy are;
θ₁ ≈ 31.1θ₂ ≈ 180° - 108° - 31.1° ≈ 40.9°2. Distance between the two islands = 20 miles
Angle of elevation with one island = 15°
Angle of elevation with the second island = 35°
Required:
The mileage (distance travelled) of the helicopter.
Solution:
Let A represent the island that has an angle of elevation to the helicopter
of 15°, and let B represent the other island.
Angle formed by the helicopter and the two island, θ, is found as follows;
θ = 180° - (15° + 35°) = 130°
By the Law of Sines, we have;
[tex]\dfrac{20}{sin(130^{\circ})} = \mathbf{ \dfrac{Distance \ from \ island \ A }{sin(35^{\circ})}}[/tex]
Which gives;
[tex]Distance \ of \ helicopter \ from \ island \ A = \mathbf{ \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ})}[/tex]
[tex]Mileage \ from \ island \ A = \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ}) \times cos(15^{\circ}) \approx 14.5[/tex]
The mileage of the helicopter from the first island is approximately 14.5 milesLearn more about the Law of Sines and Cosines here:
https://brainly.com/question/8242520
https://brainly.com/question/2491835
Model the following verbal description below with an equation, Table, and graph. The table must include at least five data points. The table must include at least five data points. The basketball team wants to order shirts for the game days. The t-shirt company charges a $5 flat rate for using their services and $2 for every letter on the shirt.
Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case the number of t-shirts brought is not known, so let we take it as T
Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2
Since, cost of using the service of the t-shirt company is $5 flat rate, thus,
Total cost for purchasing T t-shirts = T × $2 + $5
Let total cost be denoted by C, then:
[tex]C = 2T + 5[/tex]
(we usually don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)
(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).
Thus,
The equation for given situation is [tex]C = 2T + 5[/tex]
Table for it, using values of T from 1 to 5, we get:
[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]
Plotting them in graph, we get the following attached graph.
Learn more about forming equations here;
https://brainly.com/question/12279939
What are the variables in this expression? f 2 g StartFraction h over 4 EndFraction minus 7 f and g only g and h only f, g, and Negative 7 only f, g, and h only.
Answer:
The variables are F, G and H
Answer:
F,g,h Good luck!
Step-by-step explanation:
what is 4 3/5 an an improper fraction
Answer:
23/5
Step-by-step explanation:
4 3/5 = 23/5
first multiply 4 x 5 then multiply that answer by 3
then you get 23/5 the denominator stays the same
I hope this helps and I hope this is the right answer for your hw/test
For each value of w, determine whether it is a solution to -54 <7w-5.
Answer:
All in order:
YES
NO
NO
NO
Step-by-step explanation:
-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)
-54 ≤ 7(5) - 5 NO
-54 ≤ 7(7) - 5 NO
-54 ≤ 7(-9) - 5 NO
please help!
use the order of operations to solve each problem.
1.) 2×3[7+(6÷2)]
2.) 3[-3(2-8)-6]
3.) 3×3[2-(9÷3)]
4.) 2[-5(4-12)-3]
5.) [(3×3)-(30÷6)]+(-27)-13
6.) 2÷[(4÷2)+(32÷8)]
Answer:
1.) 60
2.) 36
3.) -9
4.) 74
5.) -36
6.) [tex]\frac{2}{6} =\frac{1}{3}[/tex]
Step-by-step explanation:
1.) 2×3[7+(6÷2)]
2×3[7+3]
2×3×10
2×30
60
2.) 3[-3(2-8)-6]
3[-3(-6)-6]
3[18-6]
3×12
36
3.) 3×3[2-(9÷3)]
3×3[2-3]
3×3[-1]
3×3×-1
9×-1
-9
4.) 2[-5(4-12)-3]
2[-5(-8)-3]
2[40-3]
2×37
74
5.) [(3×3)-(30÷6)]+(-27)-13
[9-5]+(-27)-13
4-27-13
4-40
-36
6.) 2÷[(4÷2)+(32÷8)]
2÷[2+4]
2÷6
[tex]\frac{2}{6} =\frac{1}{3}[/tex]
Hope this helps!
Simplify 5x^2 +x^2+2+x^2+6
Answer:
[tex]=7x^2+8[/tex]
Step-by-step explanation:
[tex]5x^2+x^2+2+x^2+6[/tex]
[tex]=5x^2+x^2+x^2+2+6[/tex]
[tex]=5x^2+x^2+x^2+8[/tex]
[tex]=7x^2+8[/tex]
Brainliest?!
I NEED HELP!!!!
What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
Answer:
Both type of numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.
A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.
Step-by-step explanation:
A whole can be represented as 2 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.
So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.
Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method takes more time, so is more simply to say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.
Can someone please help me? I will give brainliest!
Answer:The height is 12ft
The length of the rug is 10ft and the height of the parallelogram is 12ft
The width of the rug is 6ft wide and the parallelogram is 9ft wide
Yes the rug will fit
Step-by-step explanation:
plz help with iready
Answer:
118
Step-by-step explanation:
150+16%=174
174 - 32% = 118.32
118.32=118(to nearest whole number)
Answer:118
Step-by-step explanation:
Ira enters a competition to guess how many buttons are in a jar. Ira’s guess is 200 buttons. The actual number of buttons is 250. What is the percent error of Ira’s guess?.
I need help with number 9
Answer:
55 ft
Step-by-step explanation:
The mirror is 10 times as far to the dinosaur as it is to Amir: 40 ft = 10×4 ft.
The triangles shown in the diagram are similar, so the height of the dinosaur will be 10 times Amir's eye height. In feet, Amir's eye height is 5 6/12 feet, or 5.5 feet. Ten times that is 55 feet.
The dinosaur is 55 feet tall.
Answer:
55ft
Step-by-step explanation:
Here’s the explanation!!!!!
Answer:
It's correct
Step-by-step explanation:
(θ‿θ)(θ‿θ)(θ‿θ)