Answer:
83 cm
Step-by-step explanation:
Let the length of the rectangle be L cm and the width be W cm.
L= 2W +3 -----(1)
Perimeter of rectangle= 2(length) +2(width)
2L +2W= 246 -----(2)
Substitute (1) into (2):
2(2W +3) +2W= 246
Expand:
4W +6 +2W= 246
Simplify:
6W +6= 246
Divide both sides by 6:
W +1= 41
W= 41 -1
W= 40
∴ width of the rectangle is 40cm.
Substitute value of W into (1):
L= 2(40).+3
L= 80 +3
L= 83
Thus, the length of the rectangle is 83 cm.
A
32°
B
D
=
С
m2C = [?]
Enter the number that belongs in
the green box
Enter
Answer:
58°
Step-by-step explanation:
in ΔABD
∠ADB = 32°
∠DBA = 90°
∠BAD = 180° - (32 + 90)
∠BAD = 58°
As ΔBAD ≅ ΔBCD
∠BAD = ∠BCD
So ∠BCD = 58°
Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72.
Work out the value of Dylan's initial investment.
two years at 3% = .03*2 = .06
so
.06 times original deposit = 72
so 72/.06
which is
1200
Given below is an equation of a parabola. What are the coordinates of the vertex?
y = (x + 2)^2
a (–2, 0)
b (2, –2)
c (–2, 2)
d (2, 0)
Please help me I need help
Answer:
10
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude²= hypotenuse²
8² + altitude² = (2√41)²
64 + altitude² = 2²*(√41)² {(√41)² = √41*√41 = 41}
64 +altitude² = 4 * 41
64 +altitude² = 164
altitude² = 164 - 64
altitude² = 100
altitude = √100 = 10
PLEASE HELP
What is the y-intercept for line c?
Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
BEST ANSWER WILL GET BRAINLIEST. Consider the table below. For what value of x does f(x)=-1f(x)=−1 ?
The correct answer would be 3. f(x) = -1, so you got to find the -1 in the y row of the table and just say that x =3 if y =-1.
Answer:
x = 3
Step-by-step explanation:
The question is asking for which value of x gives -1
You don't have an equation, however you do have a table of values
Y is similar to f(x) in the sense that it is the output, while x is the input.
All you must do is see where y = -1, this is the same for when f(x) = -1
So, there is only one moment where y = -1, which is when x = 3
With this, we can conclude that for the value of x = 3, f(x) = -1
Surface of a rectangular prism15 cm depth6 cm width7.5 cm height
Answer:
675 is the surface rectangle
Step-by-step explanation:
multiple the depth width and height together
Which graph does not represent a function?
Answer:
the full circle one
Step-by-step explanation:
use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function
Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..
[tex] \large\underline{\sf{Solution-}}[/tex]
Given Logarithmic expression is
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
Let first factorize 729
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]
[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]
So,
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
can be rewritten as
[tex]\rm \: = \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]
So, using this identity, we get
[tex]\rm \: = \: 12[/tex]
Hence,
[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]
Please help !!! Aspen scored no fewer than 18 points in her
last basketball game. She scored 6 points on free
throws that are worth 1 point each. The rest of
the points she scored on 3-point field goals.
Which inequality can be used to
determine, p, the number of 3-point field
goals that Aspen made?
Inequalities are used to represent unequal expressions.
The inequality is: (c) [tex]\mathbf{3p + 6 \ge 18}[/tex]
The given parameter is:
[tex]\mathbf{Free = 6}[/tex]
Represent the number of 3-point field goals with p.
So, the total number of points is:
[tex]\mathbf{Total = 3 \times p + Free}[/tex]
[tex]\mathbf{Total = 3 p + Free}[/tex]
Substitute 6 for Free
[tex]\mathbf{Total = 3 p + 6}[/tex]
He scored no fewer than 18 points, means that:
He scored 18 or more points
So, the inequality is:
[tex]\mathbf{Total = 3 p + 6 \ge 18}[/tex]
Rewrite as:
[tex]\mathbf{3p + 6 \ge 18}[/tex]
Hence, the correct option is (c)
Read more about inequalities at:
https://brainly.com/question/11612965
a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter
Answer:
21m
Step-by-step explanation:
First, divide 38.5 by 3.3.
Then, multiply that number by 1.77.
You will get 20.65...
Rounded, you will get 21 because .65 is bigger than half of one.
-kiniwih426
What is the easiest way to solve 5-x=10 whilst showing working out
what is 4x+2=-12+6x?????????
Answer:
x=7
Step-by-step explanation:
The table shows the number of miles 3 runners ran last week. Order the numbers from least to greatest. Which runner ran the farthest? How do you know
If you edit the question or repost I can answer if you provide an image! :D
Answer:
Step-by-step explanation:
The order of the decimals are 15.03, 15.2, then 15.25. Casey ran the farthest. (Casey is 15.25) I hope this helps you even though this was 2 weeks ago. :>
Solve the equation by factoring.
x2 – 64 = 0
Answer:
x=32
Step-by-step explanation:
x2 -64 = 0
+64 = +64
x2=64
x2/2 = 64/2
x = 32
hope this helps.
It is roughly 5,900 miles to fly from Denver to Rio de Janeiro. If it takes the airplane roughly 12 hours to reach its destination of Rio de Janeiro, what was the average speed of the airplane in feet per hour?
Answer:
I think I know !
Step-by-step explanation:
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
20.00
...............
can someone please explain this
Answer:
11) is a
12) all answers are incorrect just put b
Step-by-step explanation:
Answer:
あなたをあきらめるつもりはありません
リック・アストリーの歌
Step-by-step explanation:私たちは愛する見知らぬ人ではありません
あなたはルールを知っています、そして私もそうです
完全なコミットメントは私が考えていることです
あなたは他の人からこれを取得しないでしょう
気分を伝えたいだけです
お奨めはあなたに理解させる
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
嘘をついてあなたを傷つけることは決してない
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
そして、あなたが私にどのように感じているか尋ねれば
あなたが盲目すぎて見ることができないと私に言わないでください
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
嘘をついてあなたを傷つけることは決してない
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
嘘をついてあなたを傷つけることは決してない
決して与えるつもりはない、決して与えるつもりはない
(あきらめて)
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
気分を伝えたいだけです
お奨めはあなたに理解させる
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
嘘をついてあなたを傷つけることは決してない
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
嘘をついてあなたを傷つけることは決してない
あなたをあきらめるつもりはありません
決してあなたを失望させるつもりはありません
走り回ってあなたを捨てるつもりはない
泣かせないで
さよならを言うつもりはない
Determine which is the better buy.
4 gallons of oil for 9.16$ or 11 gallons of oil for 25.30$
HELP ME PLS
Answer:
4 gallons of oil for $9.16
Step-by-step explanation:
[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]
[tex]4x = 9.16[/tex]
x = $2.29
[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]
11x = 25.30
x = $2.30
Problem:
Report Error
On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?
Answer/Step-by-step explanation:
Call Monday's price, P
Tuesday's price must just be .80P [ 20% reduction]
Call Wednesday's price reduction ( 1 - R)
So...we have that
Tuesday's price * Wednesday's reduction = (1/2)P
(.80)P *( 1 - R) = (1/2)P divide through by P and note that 1/2 = .50
.80 (1 - R) = .50 divide both sides by .80
1 - R = .50/.80
1 - R = 5/8
1 - 5/8 = R
3/8 = R = .375 = 37.5% = the reduction from Tues. to Wed.
Proof of this...let Monday's price = 100
Tuesdays price = .80 * 100 = 80
Wed price = 80 (1 - R) = 80 (1 - .375) = 50 = half of Mon. price
An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)
Answer:
26 minutes/ t=26
Step-by-step explanation:
F) c=14t
S) 364=14t
E) t=26
Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as much as Tori, and Abby spends one dollar less than three times what Tori spends. How much did each girl spend?
Step-by-step explanation:
Tori + Brielle + Abby = 215
Give Tori spends x.
Brielle ; 2x and Abby ; 3x - 1
so
x + 2x + 3x - 1 = 215
6x - 1 = 215
6x = 216
x = 36
Tori spends $36 Brielle spends $72 and Abby spends $107.
please give me a brainliest answer
Solve the problem based on the picture
Step-by-step explanation:
those are the x values in the graph above
now the slope
first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)
then substitute the X values
the slope at first point=0.00214262528
the slope at secondpoint=0.29521512101
the slope at the third point=0.29521512101
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
Help me!
A 180
B 115
C 65
Answer:
ik this
Step-by-step explanation:
i believe its 180
Answer: B) 115
Step-by-step explanation: i hop this help if not sorry :(
Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)
Answer:
x = 8
Step-by-step explanation:
The explanation are the pictures. I hope I gave you the correct answer.
A stray dog ate 4 of your muffins. That was 2/9 of all of them! How many are left?
Answer:
14muffins are left. please give brainliest
Step-by-step explanation:
so first we need to figure out how many there are in total so if 4 muffins is 2/9 so every 2 muffins is 1/9 so we need 9x2 wich is 18 so there are 18 muffins in total but the stray dog ate 4 of them so 18-4 is 14 so the answer is 14muffins are left.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.
Answer:
0.88%y + 0.03%
K12 is how i know the answer
Which fraction is equal to
2/8
A. 1/4
B. 2/4
C. 3/4
D. 6/4
E. 4/8
Answer:
a
Step-by-step explanation:
because if you divide 8 by 2 the number 2 goes into 8 4 times so 4 divided by 1 is 4 because 1 goes into 4 4 times
Answer:
a
Step-by-step explanation:
half the fraction
8%2=4
2%2=1
1/4
what is 3.26% of 1298
Answer:
42.3148
Step-by-step explanation:
3.26% of 1298
3.26/100*1298
42.3148