Answers
Answer:
351.88 mStep-by-step explanation:
Given,
D = diameter of semicircular part = 42 m
L = Length of straight part = 110 m
Now, let's find the perimeter:
= 2 ( length of semi-circle + length of straight part )
[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]
Plug the values
[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]
Calculate the product
[tex] = 2( \frac{131.88}{2} + 110)[/tex]
Divide
[tex] = 2 (65.94 + 110)[/tex]
Calculate the sum
[tex] = 2 \times 175.94[/tex]
Calculate
[tex] = 351.88 \: m[/tex]
Hope this helps..
Best regards!!
Answer:
351.88 m²
Step-by-step explanation:
diameter of the semicircle=42 the radius=42/2=21
perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)
perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)
the area of the track=131.88+220=351.88
Related Questions
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]
Answers
Using the factor theorem, we have
[tex]7x^2+x-5=7(x-a)(x-b)[/tex]
and expanding gives us
[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]
So we have
[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]
which answer is equivalent to √16/√49
Answers
Answer:
sqroot 16/49 A
Step-by-step explanation:
The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] is equivalent to expression [tex]\sqrt{\frac{16}{49}}[/tex] because by property [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex].
The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] can be simplified by taking the square root of 16 and the square root of 49 separately.
√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.
Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.
So, the expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] simplifies to 4/7.
and we know that [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex]
[tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] , which simplifies to 4/7.
Therefore, [tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] .
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the constant proportionality of y=5x
Answers
Answer:
k = 5
Step-by-step explanation:
The equation of proportionality is
y = kx ← k is the constant of proportionality
Given
y = 5x , then k = 5
An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10
Answers
Answer:b
Step-by-step explanation:
C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.
Answer:
b
Step-by-step explanation:
:D
A teacher is grading exit tickets on the train. It takes
him 42.5 seconds to grade each exit ticket, and he will
arrive at his destination in 5 minutes. The teacher knows
he will need to save 30 seconds to pack up his materials.
What is the maximum number of exit tickets that he can
grade?
A) 8
B) 7
C) 6
D) 5
Answers
Answer:
6 papers
Step-by-step explanation:
5 minutes = 5 * 60 = 300 seconds
He needs to save 30 seconds
300 - 30 = 270 seconds
270 seconds / 42.5 seconds per paper
6.352941176 papers
Rounding down since he want to completely grade the paper
6 papers
What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]
Answers
We have
[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]
[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]
[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]
So
[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]
is equivalent to
[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]
which reduces to
[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]
Which of the following is an equation that best describes compound interest?
Answers
Answer:
Compound interest is best defined as:
Earning interest on interest.
Compound interest is earning interest on interest.
What is compound interest?Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.
Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals
The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.
as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.
So, we can also write Earning interest on interest.
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Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?
Answers
Answer:
13 lbs
Step-by-step explanation:
Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase
Answers
Answer:
₹711,674.04
Step-by-step explanation:
1.firstly we need to solve for the total area of Bella's back garden deck.
2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.
Given
length of garden = 12 metres
width of garden = 11 metres
Hence the area of the garden is given as
[tex]Area= length* width[/tex]
[tex]Area = 12*11= 132m^2[/tex]
if a square metre cost ₹5,391.47 to build.
132 square metre will cost= ₹5,391.47*132= ₹711,674.04
-1+(4+7)=(-1+4)+7 what property is this
Answers
Answer:
Associative Property.
Step-by-step explanation:
The Associative Property is the property that says that (a + b) + c = a + (b + c).
Hope this helps!
Answer:
Associate Property
Step-by-step explanation:
I found my answer at baba com
Rewrite the given function as an equivalent function containing only cosine terms raised to a power of 1.f(x)=7cos^2x
Answers
Answer:
Step-by-step explanation:
Using the double angle formulas,
cos(2x) = cos^2(x) - sin^2(x) ............(1)
1 = cos^2(x) + sin^2(x)............(2)
add (1) and (2)
1 + cos(2x) = 2 cos^2(x)
=> cos^2(x) = (1/2) (1+cos(2x)) ..............(3)
f(x) = 7 cos^2 (x)
substituting (3)
f(x) = (7/2) (1+cos(2x))
ANS ASAP... will mark him/her as BRAINLIEST The 1rst one!!
Answers
7x - 14 = 4x + 19
7x - 4x = 14 + 19
3x = 33
x = 11
Which three-dimensional figure is formed by the rotation given?
Answers
Answer: The bottom right
Step-by-step explanation: Take a peek at the pic :)
Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.
Answers
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
Answer:
Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.
Step-by-step explanation:
I just took the test on Edge 2020
please help with this question, I am quite confused
Answers
Answer:
Step-by-step explanation:
A-domain (-∞,∞)
B- Range(0,∞) the range is the set of values tat correspond with the domain
C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1
D-the horizontal asymptote is x-axis y=0
E- the graph is always decreasing
F-it depend on the base
Please answer this in two minutes
Answers
Answer:
x ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ WXY
[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values
[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )
x sin107° = 10 sin33° ( divide both sides by sin107° )
x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )
A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the total number of fruit that remain in the bowl.
Answers
Answer:
25
Step-by-step explanation:
Given that the ratio is 4 : 5 = 4x : 5x ( x is a multiplier ), then
4x - 2 : 5x = 2 : 3
Expressing the ratio in fractional form
[tex]\frac{4x-2}{5x}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3(4x - 2) = 10x , distribute left side
12x - 6 = 10x ( subtract 10x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus initially there were
4x + 5x = 9x = 9(3) = 27 pieces of fruit
2 apples were removed, leaving 25
Answer:
25
Step-by-step explanation:
4 : 5. is ratio before two apples were removed.
2 : 3. is ratio after two apples were removed.
combing the two statements will give you the following mathematical statement:
4x-2:5x=2:3 solve for x
3(4x-2)=5x*2
12x - 6=
2x=6
x=3
then 4x + 5x = total ñô fruit
4(3) + 5(3) = total ñô fruit
27= total ñô fruit
remaining fruit=total ñô fruit - 2
remaining fruit=27-2
remaining fruit=25
Which equation correctly uses the trigonometric ratio for sine to solve for y?
Answers
Answer:
b y = 9sin(36)
Step-by-step explanation:
sin A = opp/hyp
for the 36-deg angle, opp = y, and hyp = 9.
sin 36 = opp/hyp
sin 36 = y/9
y = 9 * sin 36
Answer: b y = 9sin(36)
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?
Answers
Answer:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8
Answers
Answer:
8
Step-by-step explanation:
3x^2 - 4
Let x = 2
3 * 2^2 -4
Exponents first
3 *4 -4
Then multiply
12 -4
Now subtract
8
[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]
Lea’s car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mike trip, what was the approximate cost of gas in dollars per gallon?
Answers
Answer:
$3.60 per gallon.
Step-by-step explanation:
First, we look for the gallon of gas that will be used for a 172.5 mile trip:
30 miles = 1 gallon of gas
172.5 miles = ?
172.5 ÷ 30 = 5.75 gallons of gas
Let's find the approximate cost of gas in dollars per gallon:
5.75 gallons of gas = $20.70
1 gallon of gas = $?
20.70 ÷ 5.75 = $3.60
The answer is $3.60 per gallon.
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths
Answers
Answer:
The answer is
[tex]y = \frac{4}{5} x - 6[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
m / slope = 4/5
c / y intercept = - 6
Substituting the values into the above formula
We have the final answer as
[tex]y = \frac{4}{5} x - 6[/tex]
Hope this helps you
Answer:
the correct answer is C.
Step-by-step explanation:
i got it right on edge 2020
.....................
Answers
Answer:
B. √16 × √6
C. √96
Step-by-step explanation:
4√6
4 can be written as a square root.
4 = √16
√16 × √6
The square roots are multiplied, they can be written under one whole square root.
√(16 × 6)
√96
.
What is y + 3 = 7(2 – 2) written in standard form?
Answers
Answer:
y = -3
Step-by-step explanation:
y + 3 = 7(2 - 2)
y + 3 = 0
Subtract 3 from both sides
y + 3 - 3 = 0 - 3
y = -3
Answer:
7x - y = 17
Step-by-step explanation:
Maybe you want the standard form of the point-slope equation ...
y +3 = 7(x -2)
__
y + 3 = 7x -14 . . . . . eliminate parentheses
17 = 7x -y . . . . . . . . add 14-y
7x - y = 17
Nicole has x marbles. Together we have 44 marbles. How many marbles will I have if I lose 1/4 of my marbles ?
Answers
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
Find the perimeter of a square with a diagonal of 15√2.
Answers
Answer:
15
Step-by-step explanation:
Answer:
21.213
Step-by-step explanation:
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answers
Answer:
x=8 number of children
y=32 number of adults
Step-by-step explanation:
x be children and y for adults
x+y=40 ⇒ y=40-x
11x+20y=728 solve by substitution of y=40-x
11x+20(40-x)=728
11x+800-20x=728
-9x=728-800
x=72/9 ⇒ x=8 number of children
y=40-x
y=40-8⇒ y=32 number of adults
multiply: 4x ^3sqrt 4x^2 (2 ^3sqrt 32x^2 * x ^3sqrt 2x)
Answers
Answer:B on edge 2020 :)
Step-by-step explanation:
its b
Step-by-step explanation:
edge 2022
winthrop has $4.40 worth of nickles and dimes. If winthrop has 3.5 times as many nickles as he has dimes, how many dimes does he have?
Answers
Answer:
16
Step-by-step explanation:
If n is number of nickles and d is number of dimes:
5n + 10d = 440
n = 3.5d
Substitute:
5(3.5)d + 10d = 440
17.5d + 10d = 440
27.5d = 440
d = 16
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answers
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
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