Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
Learn more about the rectangle here:
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Need quickly please help!
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Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
Select ALL of the following that would reflect the following triangle onto itself.
Answer:
Over x = 4
Step-by-step explanation:
In its current configuration, our triangle only has vertical symmetry - we can only flip it onto itself if it's over a verticle line. This immediately eliminates our two horizontal lines from the equation: y = 4 and the x axis.
That leaves us chosing between the y axis or the line x = 4. Now that we know the type of symmetry this triangle has (vertical), we need to figure out where to put the line of symmetry. The y axis won't do, since a reflection over that will move the triangle to the far left of the page. So it must be the line x = 4.
PLEASE HELP ME 20 POINTS + BRAINLIEST
A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash flow today. At a discount rate of 4.2%, what is the doggy estate worth in today's dollars?
need help with this someone send the answer please i don't understand why there are so many boxes.
Answer: See the attached image below. I've filled in the table with the proper values.
Row 2: AFB = 36, BFC = 54, EFA = 144
Row 3: AFB = 40, BCF = 50, DFE = 40
=======================================================
Explanation:
angles AFB and BFC add to 90 degrees since they form a right angle.
In row 1, we see that 48+42 = 90
Angles AFB and DFE are congruent since they are vertical angles. For row 1, we have both of these angles equal to 48 degrees.
Also for row 1, we have angles BFC and CFD add to 42+90 = 132, which is exactly the measure of angle BFD. This angle is congruent to angle EFA because they are vertical angles. So that's how angle EFA is 132.
--------------------------
Now onto row 2
We'll use the ideas of row 1 to work our way backwards to fill in the missing items.
We're given DFE is 36 degrees. This must mean that AFB is also 36 degrees. These angles are vertical angles.
Then we'll use the idea that (angleAFB)+(angleBFC) = 90 to find that
angle BFC = 90 - (angle AFB) = 90 - 36 = 54
Lastly for this row, we can say,
angle BFD = (angle BFC) + (angle CFD) = 54 + 90 = 144
angle EFA = angle BFD = 144
To summarize the missing items of row 2, we have...
angle AFB = 36angle BFC = 54angle EFA = 144---------------------------
Now onto row 3. We use the same tricks (more or less) that were used on row 2.
If angle EFA is 140, then so is angle BFD. These are vertical angles.
(angle BFC) + (angle CFD) = angle BFD
(angle BFC) + 90 = 140
angle BFC = 140-90
angle BFC = 50
This in turn lets us say,
(angle AFB) + (angle BFC) = 90
angle AFB = 90 - (angle BFC)
angle AFB = 90 - 50
angle AFB = 40
angle DFE = angle AFB = 40
To summarize the missing pieces we found:
angle AFB = 40angle BFC = 50angle DFE = 40All of the values are filled in the table shown below.
The price of a technology stock has dropped to $9.74 today. Yesterday's price was $9.87. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
Step-by-step explanation:
9.74 - 9.87 = -0.13
0.13/9.87 ≈ 0.013 = 1.3%
Price decreased by 1.3%
Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Are they a function or not?
Answer:
A linear function is a straight line and a non-linear function is not a straight line.
Step-by-step explanation:
MNOP is a trapezoid with bases MN and OP. If MN = 25 and OP = 23, what is the length of the midsegment of MNOP?
Answer:
24
Step-by-step explanation:
you can get the answer from the attachment
The midsegment of a trapezoid divides the trapezoid into equal parts.
The length of the midsegment of MNOP is 24
The lengths of the base are given as:
[tex]\mathbf{MN = 25}[/tex]
[tex]\mathbf{OP = 23}[/tex]
Let the midsegment be x.
So, we have:
[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]
Substitute values for MN and OP
[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]
[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]
[tex]\mathbf{x=24}[/tex]
Hence, the midsegment of MNOP is 24
Read more about midsegments of trapezoids at:
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36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
The expression sin 57° is equal to
(1) tan 33°
(3) tan 57°
(2) cos 33°
(4) cos 57°
Answer:
[tex]cos(33^{\circ})[/tex]
Step-by-step explanation:
Given
[tex]sin(57^{\circ})[/tex]
Required
Determine an equivalent expression
In trigonometry:
[tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]
In [tex]sin(57^{\circ})[/tex]
[tex]\theta=57^{\circ}[/tex]
Substitute [tex]57^{\circ}[/tex] for [tex]\theta[/tex]
in [tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]
[tex]sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})[/tex]
[tex]sin(57^{\circ})= cos(33^{\circ})[/tex]
Hence, the equivalent expression is: [tex]cos(33^{\circ})[/tex]
$8.25 for 1 1/2 pounds of coffee beans = $ per
Answer:
$5.50 per pound
Step-by-step explanation:
8.25 / 1 1/2
5.50 per pound
Hope this Helps!!!
Answer: 5.5
Step-by-step explanation:
8.25 divided by 1.5
Find the area of the shaded region?
3x + 1
3x + 1
PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft
Answer:
Step-by-step explanation:
h and r are the height and radius of the tank, respectively.
volume = πr²h
πr²·9 = 572π
r = √(572π/(9π)) = √(572/9)
diameter = 2r ≅ 15.9 ft
Factor the expression 26p + 8q - 10
Answer:
factor 2 out of 26p+8q-10 2
Step-by-step explanation:
2 (13+4p-5)
Find the equation of the line that is perpendicular to the x-axis and passes through the point (14,-9). Give the
full equation as your answer.
Answer:
y = -9
Step-by-step explanation:
a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]
Now,
The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
So,
Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]
∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]
= [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
find the length of a rectangle whose area is 144 cm and breadth is 9CM
Answer: 16
Step-by-step explanation:
The area of a rectangle can be found by multiplying its length and its height. You may consider the breadth as just another word for length.
A = L * W
Since we know what are area is, we may substitute it into the equation.
144 = L * W
We also know what our width (our breadth) is, so we will also substitute it in
144 = L * 9
To solve for our length, we divide both sides by 9 to isolate L
[tex]\frac{144}{9} = \frac{L * 9}{9}[/tex]
We see that the two 9's on the right hand side cancel out to give us L
[tex]\frac{144}{9} = 16[/tex]
So our L is equal to 16.
We can check our work by multiplying the length and breadth together again to see if they give 144 as a product, which they do.
rewrite the equation y-3=1/2(x+4) in standard form
Answer:
2x−y=5
Step-by-step explanation:
Dara:240g
Brüt kütle:760g
Net Kütle:.....g
işlem:
Answer:
Net Mass = 520 g
Step-by-step explanation:
Given:
Waste = 240 g
Gross mass = 760 g
Find:
Net Mass
Computation:
Net Mass = Gross mass - Waste
Net Mass = 760 g - 240 g
Net Mass = 520 g
What is the sum of the zeros of the equation y = 2x2+5x−3
Answer:
2×2+5×-3= -11
Step-by-step explanation:
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Write an expression that is equivalent to 27e+24
ANSWER FOR 40 POINTS
Step-by-step explanation:
3(9e+8) is the correct answer of this qn
Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126
Answer:
The third term of a proportional is: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
a × d = b × c
In our case, we are given the first, second, and fourth terms are 24, 36, 126.
a = 24
b = 36
d = 126
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
a × d = b × c
Thus,
substituting a = 24, b = 36, d = 126 to determine
24 × 126 = 36 × c
c = (24 × 126)/36
c = 3024/36
c = 84
Thus, the third term of a proportional is: 84
Please help I need this answer ASAP
Answer:
7 granola bars
Step-by-step explanation:
560 calories in 4 bars
560/4 = 140 per bar
980/140 = 7 bars
-2x+3y=15, rearrange to write in slope-intercept form, y=mx+b, by isolating y.
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Answer:
Lower quartile = 65
Upper quartile = 95
Median = 80
Step-by-step explanation:
✔️Lower quartile = the value at the beginning of the edge of the rectangular box = 65
✔️Upper quartile = the value at the end of the edge of the rectangular box = 95
✔️Median = the value indicated by the vertical line that divides the box into two = 80
Ahn had walked 8 blocks. He was 25% of the way to school. How many total blocks was his walk to school?
divide decimal (round off to tenths)6.24÷0.6
Answer:
10.4
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An urn contains three balls numbered 1, 2, 3. The experiment consists of drawing a ball at random, recording the number, and replacing the ball before the next ball is drawn. This is called sampling with replacement. What is the probability of drawing the same ball twice in two tries
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The computation is shown below:
The numbers of possible results at the time when we drawing in two tries is 9
i.e. shown below:
11, 12, 13, 21, 22, 23, 31, 32, 33
Now the probability is
[tex]p=\frac{\text{no. of favorable cases }}{\text{total no. of outcomes}}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]
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If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles