Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .
Answer36000 sq. m
SolutionGiven :
parallelogram is 300 m long and distance between base and its opposite side is 120m* .
Length = 300 m
Perpendicular height = 120 m
Formula used :Area of parallelogram = Length × Perpendicular height.
=> 300 × 120
=> 36000 sq. m
_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. leave your answer in terms of π.
Answer:
60π
Step-by-step explanation:
Formula for surface area of a cylinder is 2πrh + 2r²π
2πrh: this is the formula to find the area of the cylinder itself (circumference of the base times the height of the cylinder)
2r²π: this is the formula to find the area of the 2 circles at the end of the cylinder (area of a circle times 2)
We can substitute h with 7 and r with 3 to solve:
2πrh + 2r²π
2(3)(7)π + 2π(3²)
42π + 18π
60π
That is your answer
- Kan Academy Advance
What is limit of startfraction x squared x minus 12 over x squared minus 3 x endfraction as x approaches 3? 0 startfraction 7 over 3 endfraction 4 dne
The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2
How to determine the limit?The expression is given as:
[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]
As the variable x approaches 3, the limit is represented as:
[tex]\lim_{x \to 3} f(x)[/tex]
So, we have:
[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]
Evaluate the exponents
[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]
Evaluate the quotient
[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]
Hence, the limit of the expression as x approaches 3 is -1/2
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Answer:
B. 7/3
Step-by-step explanation:
Took the final test and this was the correct answer
3. Which model shows the fraction
A.
B.
C.
D.
as a multiple of a unit fraction?
Answer:
A is the answer
Step-by-step explanation:
because 3 is shaded
and there is 5 rows with three shaded
Need help please answer ASAP!
Answer:
27. (4) 4 in
28. (2) 13
Step-by-step explanation:
Question 27
Volume = (side length)³64 = (side length)³side length = ∛64side length = 4 in(4) 4 inQuestion 28
Let the number be n7n - 6 = 857n = 91n = 13(2) 13Area of triangle = 24
Answer:
[tex]x=-2\pm2\sqrt13[/tex]
Step-by-step explanation:
The area of the triangle is;
[tex]A=\frac{1}{2} \times b\times h[/tex]
[tex]b=x+4[/tex]
[tex]h=x[/tex]
[tex]Area=A=24[/tex]
[tex]A=\frac{1}{2}\times[(x+4)\times x] \\24=\frac{x^{2} +4x}{2} \\24\times2=x^{2} +4x\\48=x^{2} +4x\\x^{2} +4x-48=0\\[/tex]
This can only be solved by the quadratic formula.
[tex]x=\frac{-b\pm\sqrt {b^{2}-4ac }}{2a}[/tex]
where;
[tex]a=1\\b=4\\c=-48[/tex]
and we get,
[tex]x=-2\pm2\sqrt13[/tex]
The radius of a circle is 10 m. find its area to the nearest whole number.
[tex]\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
The radius of a circle is 10 m. Find its area to the nearest whole number.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We're asked to find the area of the circle, which we can find using the following formula:-
[tex]\bold{Area_{(circle)}=\pi r^2}[/tex]
Where:-
π = pi [3.14...]r=radius (10 m)What we need to do to find the area:-[tex]\dagger[/tex] Substitute 10 for r and 3.14 for π:-
[tex]\hookrightarrow\sf{A=3.14\times(10^2)}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{A=3.14\times100}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\bold{A=314}[/tex]
[tex]\bigstar[/tex] The Area is:-
[tex]\bold{A=314\:m^2}[/tex]
[tex]\square\!\!\!\!\!\!\bigstar[/tex] Note:- Area is always measured in units² (units squared)
Good luck with your studies.[tex]\rule{300}{3}[/tex]
4 4 cm 2 cm 4 cm 4 cm
What is the area of the polygon?
Answer:
512
Step-by-step explanation:
or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.
Find the inverse of the function f(x) = 2x - 4.
O
8(x) = -1/x--1/4
O
8(x) = -x-1-1/
O g(x) = 4x + 2
O
1
g(x) = = x + 2
Answer:
y = 4 - x / 2
Step-by-step explanation:
y = 2x - 4
x = 2y - 4
y = 4 - x
----------
2
If cos x = −1/4 and csc x < 0, find cot x/2
The value of cot x/2 is √3/√5.
What is Trigonometry?Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.
given:
cos x=-1/4
sin x= √15/4
cosec x= 4/√15
and, cot x= -1/√15
Now, cot x/2= cosec x+ cot x
= 4/√15-1/√15
= 3/√15
= √3/√5
Hence, the value of cot x/2 is √3/√5.
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What is the value of the expression below when t = 6?
Answer:
C. -18
I hope that this helped you.
Answer:
C. -18
Step-by-step explanation:
The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.
__
[tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]
_____
Additional comment
In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.
= 2(2 -11) = 2(-9) = -18
In a hostel, 120 students had provisions of food for 60 days. After 20 days, some students were added to the hostel, the provision of food finished 10 days ago earlier. How many students were added?
Answer:
If I'm right, the answers should be 40.
Solve the following equation x2+6x=27 x = and
Answer:
Step-by-step explanation:
Assuming the question is x^2 + 6x = 27x, subtract 6x from both sides. x^2 = 21x. Then, divide both sides by x and you get x= 0, 21
The area of a rectangle is 49d + 91
The length is an integer higher than 1, but is a known number.
Find the width of the rectangle.
Assuming that L and d are known numbers, we can write.
[tex]W = \frac{49d + 91}{L}[/tex]
How to get the width of the rectangle?
Remember that for a rectangle of width W and length L, the area is given by:
A = L*W
In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.
Then we can write:
A = L*W = 49d + 91
To get the value of W, we need to isolate it on one side of the equation.
We can do that by dividing both sides by L.
[tex]W = \frac{49d + 91}{L}[/tex]
We assume that d and L are known, so with the above rational expression, we have W totally determined.
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The Ratio of boys to girls at Verrado Middle School is 4 to 5. If there are 300 boys at VMS, how many more girls are
there than boys?
(Someone pls help :>)
Answer:
75 more girls.
Explanation:-
Given:- Ratio of girls to boys = 5:3
And, the number of boys= 300
Let boys be 4x and girls be 5x
So, 4x = 300 (Given)
x = 300/4 = 75
Thus number of girls:- 5x = 5×75= 375 girls
now you take the 375 girls minus the 300 boys.
375-300 = 75 Girls more
~~~~-Hope this helped-~~~~
What is the ratio of the area of sector abc to the area of sector dbe?
The ratio of the area of sector abc to the area of sector dbe is 4:3
Area of a sectorThe formula for calculating the area of a sector is expressed as:
A = r²Ф
where:
r is the radiusФ is the subtended angleFor the sector ABC
A1 = (2r)²β
A1 = 4r²β
For the sector DBE
A2 = (r)²3β
A2 = 3r²β
Take the ratios
Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3
Hence the ratio of the area of sector abc to the area of sector dbe is 4:3
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In the shape below, find the value of d, rounded to one decimal place.
Answer: 128.7
Step-by-step explanation:
Solve for X. Round to the nearest tenth, if necessary.
Answer:
still don't get it
Step-by-step explanation:
but please write it in an understanding meaning
On a coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1), (3, negative 3). kite wxyz is graphed on a coordinate plane. what is the area of the kite? 7 square units 8 square units 14 square units 16 square units
The area of the kite will be C. 14 square units.
How to calculate the area?From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),
The area of the kite will be;
= 2(1/2 × 7 × 2)
= 2 ×7
= 14 units²
Therefore, the area of the kite will be 14 square units.
In conclusion, the correct option is C.
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Answer:
14 square units
Step-by-step explanation:
Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.
Answer:
use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.
Step-by-step explanation:
The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.
Please help me!!!!!! Thanks!!!!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Question 4
Finding the lateral area :
⇒ Lateral area = 2πrh
⇒ Lateral area = 2π(8)(20)
⇒ Lateral area = 320π cm²
===============================================================
Finding the surface area :
⇒ Surface area = Lateral area + 2 × area of the circle
⇒ Surface area = 320π + 2 × π(8)²
⇒ Surface area = 320π + 128π
⇒ Surface area = 448π cm²
=============================================================
Question 5
⇒ In this scenario, the part that is painted is the lateral area
⇒ Area painted = 6 × 4 × 170
⇒ Area painted = 24 x 170
⇒ Area painted = 4,080 mm³
Dog in a Ditch
Oscar and Rasheed are identical twins. They are both 6 feet tall. They are on opposite sides of
a ditch that is 30 feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away
from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line
of sight makes a 75° angle below the horizontal. When Rasheed looks at Earl, his line of sight
makes a 40° angle below horizontal. Earl has walked % of the way across the ditch. How deep
is the ditch?
The ditch is 14.54 feet deep.
What is application of Trigonometry?Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.
As, both brother have height of 6 feet.
We will use the concept of application of trigonometry to find the depth of ditch.
The explanation is attached below
Now, by solving both equations we get
0.8391y= (2+√3)(30-y)
4.5711y=111.96
y= 24.49 feet.
Now,
x= 14.54 feet.
Hence, the depth of ditch is 14.54 feet.
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First one to answer, i will mark brainlist
Answer:
WX < YW < XY
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
114 + 53 + ∠y = 180
167 + ∠Y = 180
∠Y = 180 - 167
∠Y = 13
The side opposite to smallest angle is shortest.
Angles in ascending order: ∠Y < ∠X < ∠W
Sides in ascending order: WX < YW < XY
I need the answers asap thank you
Answer:
1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C
Ralph needs 1/4 cup of butter to make a cake. He has 5 cups of butter. How many cakes can Ralph make using 5 cups of butter? A) 1 B) 5 C) 20 D) 4
Answer:
b
Step-by-step explanation:
A group of 3 people are sharing chocolates.Each person wants 8 chocolates and each box has 4 chocolates.How many boxes do they need?
Answer:
6
Step-by-step explanation:
you times it and you get the answer
Draw a line of best fit on the graph below. Explain how you knew where to draw the line of best fit.
Where does your line of best fit cross the y-axis?
Answer:
The line should be a negative sloping line that looks something like this:
Y=|x+2|-1
Y<0
Please help ASAP!
Answer:
x=-1
Step-by-step explanation:
x+2-1=0
-1+2=1
1-1=0
y=0
Answer:
X = -2
Step-by-step explanation:
Y = | (-2) + 2 | - 1
Y = |0| - 1
y = -1
IREADY
PRESS THE IMAGE BELOW WHICH ONE DO I SELECT?
50 POINTS!!!
Answer:
No, corresponding angles aren't congruentStep-by-step explanation:
We have a transversal and lines intersecting with it.
The angle measures formed by the lines and the transversal are not all equal to each other.
Four of the angles measure 85° and one 79°.
These are corresponding angles (the angles which occupy the same relative position at each intersection where a straight line, transversal, crosses two or more others).
If corresponding angles are equal, the lines are parallel.
In our case all the lines intersecting the transversal are parallel apart from the one with different angle measure.
Therefore, correct answer choice is:
No, corresponding angles aren't congruentIn order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4. 1 cm. Which compound inequality represents the situation? r > 4 and r ≤ 4. 1 r > 4 or r ≤ 4. 1 r < 4 and r ≥ 4. 1 r < 4 or r ≥ 4. 1.
Answer:
see the attachment!
i hope this can help you!
Please help...a counselor wishes to examine the benefits of a parenting class on parenting
skills. he decides to administer a questionnaire to the 10 parents who have
attended the most recent class. how could this study be improved?
select all that apply.
a. administer a questionnaire to parents who have not attended the
class.
b. use a random sample of all patients, who have attended the
class.
c. increase the sample size.
d. give parents some sample responses, prior to administering the
questionnaire.