Answer: [tex]1456\ ft^2[/tex]
Step-by-step explanation:
Given
Length of whole fence is 155 feet
If the length of rectangle is 45.5 ft
Suppose width is w
Length of whole fence is perimeter which is given by
[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]
Area of the rectangle is given by the product of length and width
[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]
Thus, total area of pasture is [tex]1456\ ft^2[/tex]
A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
Answer please please I cant think
Answer: ∠A = 20°; ∠B = 59°; ∠C = 101°
Step-by-step explanation:
According to the problem:
∠A = ∠A∠B = 4 · ∠A - 21°∠C = 5 · ∠A + 1°All interior angles within a triangle adds up to 180°:
∠A + ∠B + ∠C = 180°
[tex]A+(4A-21)+(5A+1)=180\\\\A+4A+5A-21+1=180\\\\10A=180+21-1\\\\10A=200\\\\A=20\°[/tex]
Substitute in the value of ∠A into the other equations:
∠B = 4 · ∠A - 21° = 4(20°) - 21° = 80° - 21° = 59°
∠C = 5 · ∠A + 1° = 5(20°) + 1° = 100° + 1° = 101°
Find the surface area of the cube shown below.
units?
2 1/2
Answer:
SA = 37.5 units^2
Step-by-step explanation:
2 1/2 = 2.5
the Surface Area of the cube
SA = 6a^2
SA = 6(2.5)^2
SA = 6(6.25)
SA = 37.5 units^2
The point (0,0) is a solution to which of these inequalities?
Answer:
c
Step-by-step explanation:
Answer:
C. y - 7 < 2x - 6
Step-by-step explanation:
A. y + 7 < 2x + 6
0 + 7 < 2(0) + 6
7 < 0 + 6
7 < 6 —————- FALSE
B. y + 7 < 2x - 6
0 + 7 < 2(0) - 6
7 < 0 - 6
7 < -6 —————FALSE
C. y - 7 < 2x - 6
0 - 7 < 2(0) - 6
-7 < 0 - 6
-7 < -6 —————TRUE
D. y - 6 < 2x - 7
0 - 6 < 2(0) - 7
-6 < 0 - 7
-6 < -7 ————— FALSE
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit
Answer:
Pressure is 80,000 pascals.
Step-by-step explanation:
Area:
[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]
Pressure:
[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]
6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?
Answer:
See below.
Step-by-step explanation:
When Brian passes Alex they both have travelled the same distance.
Call this distance d.
Let the speed that Brian passes = x miles/hour.
Distance = speed * time so:
For Alex:
d = (x - 5) * 1.5 ( Alex cycles for 1 + 30 minutes = 1.5 hours)
For Brian:
d = x * 1
So substituting d = x in Alex's equation:
x = 1.5(x - 5)
x = 1.5x - 7.5
7.5 = 0.5x
7/5 / 0.5 = x
15 = x.
ANSWER:
Brian's speed is 15 miles/hour.
Alex's speed is 15 - 5 = 10 miles/hour.
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
help pllsssssssssssss
Answer:
abcd is a quadrilateral
so , d is ( -1,4 )
c is ( 0,-4 )
b is ( 0,-2)
and
a is ( 2,-2 )
Someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
there are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most 5 girls
Answer:
Hello,
Step-by-step explanation:
0 girls and 8 boys :
[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]
1 girl and 7 boys:
[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]
2 girl and 6 boys:
[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]
3 girl and 5 boys:
[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]
4 girls and 4 boys:
[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]
5 girls and 3 bys:
[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]
I let you to calculate and make the sum.
There is 10% salt solution and a 30% salt solution. How much of each is needed to make 10L mixture that is 25% salt solution?
Answer:
2.5L of 10% salt solution and 7.5L of the 30% salt solution
Step-by-step explanation:
let the amount of L in the 10% solution be 'x'
let the amount of L in the 30% solution be '10-x'
* because they add up to a total of 10L
10%(x) + 30%(10-x) = 25%(10)
0.1x + 3 - 0.3x = 2.5
-0.2x = -0.5
x = 2.5
x =2.5
10-x = 7.5
2.5 of 10% solution and 7.5% of 30% solution
An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, what is dfbetween?
There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Answer:
0.1294
Step-by-step explanation:
Number of chocolates in box = 38
Number of nuts = 8
Number of caramel = 16
Number of solid chocolate = 14
Since 2 are selected in a row and not replaced, then;
Probability of first being solid chocolate = 14/38
Probability of second being solid chocolate after first one = 13/37
Thus;
P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294
f(x) = x2. What is g(x)?
Answer:
g(x) = [tex](\frac{x}{3})^2[/tex] which is A.
Step-by-step explanation:
I did this before. You have to trust me.
Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?
Answer:
2 solutions
Step-by-step explanat
ion:|2x-3|-|3x-2|=0
<=>|2x-3|=|3x-2|
<=>2x-3=3x-2
Or 2x-3=-3x+2
<=>2x-3x=-2+3
or 2x+3x=2+3
<=>x=-1
Or x=1
please help me asap
Answer:
Does the answer help you?
HIIII!!!!! I NEED HELP!
Answer:
16⅜ cups
Step-by-step explanation:
Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:
15¾ cups + ⅝ cups = ?
15¾ = 63/4 = 126/8
126/8 + ⅝ = 131/8 = 16⅜
The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?
Answer: c. BC/YZ=6/3
Step-by-step explanation:
trust
Answer: The answer is C. BC/YZ = 6/3
Step-by-step explanation:
Got it right on edge 2023
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. 314 in^3
Step-by-step explanation:
To solve the volume of a cone:
[tex]v = \pi r^2\frac{h}{3}[/tex]
Find c.
Round to the nearest tenth:
с
8 cm
829
550
b
Answer:
c = 9.7
Step-by-step explanation:
Using the law of sines
sin 55 sin 82
---------- = ---------------
8 c
Using cross products
c sin 55 = 8 sin 82
c = 8 sin 82 / sin 55
c=9.67115
To the nearest tenth
c = 9.7
Pls help I am giving brainliest help me ASaP
Answer:
4
Step-by-step explanation:
4 because 4^2 = 16.
Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.
Answer:
(x+2)^2 + (y-5)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -2)^2 + (y-5)^2 = 3^2
(x+2)^2 + (y-5)^2 = 9
Enter the repeating digit:
[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]
Answer:0.6666...
Step-by-step explanation:
Dividing
I neeeeddddd helppppp !!!!! It’s urgenttttttt
х=10
I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value
maybe u'll tell me..
1)2x(3x^2-2x+1)
2)4x(1-x-3x)
Answer:
1. 3x^3 - 2x^2 - x
2. -4x^2 + x
Step-by-step explanation:
What is the volume?
9 ft
4 ft
2 ft
HELPPPP
Answer:
72?
Step-by-step explanation:
V=whl=4 x 2 x9=72
Abby cuts a sheet of paper in half, making two triangles. If the piece of paper is 16cm long by 12cm wide, how long is the diagonal?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem
diagonal² = 16² + 12² = 400
diagonal = √400 = 20 cm
Pls help me ! L need help here
Answer:
H. 40 inches
Step-by-step explanation:
On Wednesday, he is 40 inches taller. ... That would make 5 days of growth, for 100 inches. But this is only 3 days therefore he would grow 40 inches taller
Please help me ASAP I need help
Answer:
(-9,1.5)
Step-by-step explanation:
(-6*1.5, 1*1.5)
7. In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answer:
17
Step-by-step explanation:
8+2+(3×3-2)=8+2+(9-2)=8+2+7=17
mistake in the first step
firstly we do × and ÷
then + and -