Answer:
2,100
Step-by-step explanation:
Calculation to Estimate the number of fish in the pond.
Estimated Number of fish=420 fish*140 fish/28
Estimated Number of fish=58,800/28
Estimated Number of fish=2,100
Therefore the Estimated number of fish in the pond will be 2,100
The total number of fish in the pond is 2100
Let y represent the total fish in the pond.
Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?The estimated fish in pond can be obtained as follow:
Tagged in pond / Total in pond = captured tagged fish / Captured fish
140 / y = 28 / 420
Cross multiply
y × 28 = 140 × 420
y × 28 = 58800
Divide both side by 28
y = 58800 / 28
y = 2100
Thus, the estimated fish in the pond is 2100
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A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
[tex] \underline{ \underline{ \text{Question}}} : [/tex]
In the adjoining figure , ABC is an isosceles triangle. BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively. Prove that BOC is an isosceles triangle.
~Thanks in advance !
Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.
Hence here ,
AB = AC ∠ ABC = ∠ACB .Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}
\put(1.8,2.2){$\bf o$}\end{picture}[/tex]
If LaTeX doesn't work on app kindly see the attachment .
Here we will use a theorem which is ,
[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]
Sides opposite to equal angles are equal.Hence here,
[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]
Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.
Therefore ∆ OBC is an isosceles triangle.
Hence Proved !Answer:
See Below.
Step-by-step explanation:
We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.
Segments BO and CO bisects ∠ABC and ∠ACB.
And we want to prove that ΔBOC is an isosceles triangle.
Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.
And since ∠ABC = ∠ACB, this implies that:
∠ABO = ∠CBO =∠ACO = ∠BCO.
This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.
So, we know that:
[tex]\angle ABC=\angle ACB[/tex]
∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:
[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]
Since ∠ABO =∠ACO, by substitution:
[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]
Subtracting ∠ABO from both sides produces:
[tex]\angle CBO=\angle BCO[/tex]
So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.
PLEASEEEEE HELP MEE will give brainliest
I'm not sure if it's correct...........
Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SSS
B. SAS
C. AAS
D. HL
E. ASA
[tex]\tt{PQ=TS }[/tex]
[tex]\tt{ PW=TW }[/tex]
[tex]\tt{ QW=SW }[/tex]
SO,
it is S-S-S
side-side-side
The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2
Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
Step-by-step explanation:
Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.
If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-
[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
So, the equivalent equations are :
[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
Find the product
(4)(-11) =
Answer:
4 X -11
-44
plz mark as brainliest
Answer:
-44
Step-by-step explanation:
Basically It's like 4x11, but you put a negative sign.
Which of these best describes rt?
A) The square root of the area of a circle
B) The ratio of the radius of a circle to its diameter
C) The radius of a circle times 3.14
D) The ratio of the circumference of a circle to its diameter
Answer:
uhhhh... i thinks its D or A
pls help me look at the screen shot below
Answer:
7241.25 mm squared
Step-by-step explanation:
The surface area of a cylinder is denoted by: , where r is the radius and h is the height.
Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm
using this formula for surface area of cyclinder: 2πrh+2π
diameter = 2r --> 39.2 = 2r
so r= 19.6
The answer is 7241.25 mm squared.
↓Practice Provided Below ↓
Work out the following and give your answer in it's simplest form:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
Plz help!!
Answer:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
=3/5
=1.5
need help with this thanks
Answer:
15.51
Step-by-step explanation:
Answer:
15.51
Step-by-step explanation:
The calculator is $49.50.
The radio is $114.99.
First, we add them together.
49.50+114.99 = 164.49
that is the total cost of both the radio and calculator.
Next, we subrtact 180.00-164.49= 15.51.
Which option for college funding can parents start when children are still very young? College savings account scholarship work-study student loan
Answer:
Your answer would be A: "college savings account."
Step-by-step explanation:
Got it right on edge.
College savings account is the option for college funding can parents start when children are still very young
What is College funding?College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.
We need to find Which option for college funding can parents start when children are still very young.
Among the two options we have to choose College savings account.
Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.
Hence College savings account option for college funding can parents start when children are still very young
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#SPJ6
Is this congruent, or not congruent? And is it
SSS
SAS
SSA
AAS
ASA
HL
Answer:
Step-by-step explanation:
The two triangles are congruent. The diagonal is equal to itself in both triangles.
Triangle XYW = Triangle XYZ by SSS
solve the following equation when x = 8
15x - 2 =
Answer:
118
Step-by-step explanation:
15(8)-2
120-2
118
Brainly plss?
Answer:
118
Step-by-step explanation:
you do 15 x 8 then subtract 2 from the product
How do the terms light, radiation, and waves relate to one another?
A store advertises 15% off an item that regularly sells for $300
what is the price of the item?
For this problem, we're finding the percent of 300. To do that we:
1. Multiply 300 by 15.
300 x 15 = 4500
2. Divide 4500 by 100. (% = 100)
4500 / 100 = 45
Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.
300 - 45 = 255
Now, our answer is 255 and the unit price is 45.
Let me know of any questions!
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Overview
Suomt Ang
Question Progress
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Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
Complete the steps to solve the equation 3x + 11 = 29.
Answer:
6
Step-by-step explanation:
3x+11 = 29
3x = 29 - 11 = 18
x = 18/3 = 6
pls help!!
what would the answer be when rounded to one significant figure.
another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
Complete question
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)
Answer:
[tex]\frac{dx}{dt}=11.94m/min[/tex]
Step-by-step explanation:
From the question we are told that
Slant height [tex]z=29m[/tex]
Change in Vertical height [tex]\triangle y=7m/s[/tex]
Horizontal length [tex]x=21[/tex]
Generally in finding the distance form the top to the bottom of the wall it is mathematically given by
[tex]x^2+y^2=z^2[/tex]
[tex]21^2+y^2=29^2[/tex]
[tex]y^2=29^2+21^2[/tex]
[tex]y=35.81[/tex]
Generally solving for the differential equation is mathematically represented as
[tex]x^2+y^2=29^2[/tex]
[tex]2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0[/tex]
[tex]x*\frac{dx}{dt} +y*\frac{dy}{dt} =0[/tex]
[tex](21)*\frac{dx}{dt} +(35.81)*(-7) =0[/tex]
[tex](21)*\frac{dx}{dt} -250.64 =0[/tex]
[tex]\frac{dx}{dt}=\frac{250.64}{21}[/tex]
[tex]\frac{dx}{dt}=11.94m/min[/tex]
The rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
Let us consider that distance between the top of the ladder and the ground is x meter and distance between the bottom of the ladder and the wall is y meter.
So, A right angle triangle is formed.
Since, the bottom of the ladder is 21 meters from the wall.
So, [tex]y=21[/tex]
Applying Pythagoras theorem,
[tex]x^{2} +y^{2}=(29)^{2} \\\\x^{2} +(21)^{2}=(29)^{2} \\\\\\x^{2} =841-441=400\\\\x=\sqrt{400} =20[/tex]
Given that, the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.
[tex]\frac{dx}{dt}=-7meter/min[/tex]
Differentiate below equation with respect to time.
[tex]x^{2} +y^{2}=(29)^{2} \\\\2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 \\\\2(20)(-7)+2(21)\frac{dy}{dt}=0\\\\\frac{dy}{dt}=\frac{280}{42}=6.67meter/min.[/tex]
Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
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8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?
Answer:
78.75 ?
Step-by-step explanation:
calculator..
The volume of water remain in the tank after 30 seconds is 78.75 liters.
The given parameters;
initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 secondsThe amount of water drained after 30 seconds is calculated as follows;
[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]
The volume of water remain in the tank after 30 seconds is calculated as follows;
V₂ = V₀ - V₁
V₂ = 80 liters - 1.25 liters
V₂ = 78.75 liters
Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.
Learn more here: https://brainly.com/question/13559135
Graph the line.
Y+4=1/5(x-1)
Answer:
graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points
Step-by-step explanation:
Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.
Answer:
[tex]F = 1.8C +32[/tex]
[tex]F = 86^{\circ}F[/tex]
Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:
[tex](C_1,F_1) = (100,212)[/tex]
[tex](C_2,F_2) = (0,32)[/tex]
Solving (a): Represent as a linear equation
First, we calculate the slope:
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
This gives:
[tex]m = \frac{32 - 212}{0 - 100}[/tex]
[tex]m = \frac{-180}{- 100}[/tex]
[tex]m = 1.8[/tex]
The linear equation is then calculated using:
[tex]F - F_1 = m(C -C_1)[/tex]
Where
[tex](C_1,F_1) = (100,212)[/tex]
[tex]m = 1.8[/tex]
[tex]F - 212 = 1.8(C -100)[/tex]
[tex]F - 212 = 1.8C -180[/tex]
Make F the subject
[tex]F = 1.8C -180+212[/tex]
[tex]F = 1.8C +32[/tex]
Solving (b): The value of F when C = 30
Substitute 30 for C in [tex]F = 1.8C +32[/tex]
[tex]F = 1.8 * 30 + 32[/tex]
[tex]F = 54 + 32[/tex]
[tex]F = 86[/tex]
Answer:
person above me is wrong
A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1,5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation:
Suppose you invest $2000 at a rate of 3.25% continuously, determine the worth of the investment after 10 years.
Answer:
$2650
Step-by-step explanation:
= 2000 × 0.0325 × 10 = 650
= $ 650.00
Find the volume of a cylinder with a radius of 3 inches and a height of 2
Answer:
56.55m³
Step-by-step explanation:
use a calculator, not brainly
