Answer:
2.3 cm
Step-by-step explanation:
[tex]\textsf{Area of a trapezium}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex]
Given:
base a = 3.8 cmbase b = 6.1 cmh = x cmSubstituting the given values into the formula and solving for x:
[tex]\implies \dfrac{1}{2}(3.8 + 6.1)x=11.385[/tex]
[tex]\implies \dfrac{1}{2}(9.9)x=11.385[/tex]
[tex]\implies 9.9x=22.77[/tex]
[tex]\implies x=2.3[/tex]
Area of trapezoid 1/2(sum of parallel sides)(Height)
1/2(6.1+3.8)x=11.3851/2(9.9)x=11.3859.9x=22.77x=22.77/9.9x=2.3In 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.
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
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
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
Plsssss helpppppoooooooooopppppppppppppppppppppp
Answer:
4
Step-by-step explanation:
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-~~~~
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
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:
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.
In 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!
If the radius of the circle is 14 meters, find the length of arc RS
(brainliest given)
To find a certain part of the arc:
⇒ we find a fraction of the circumference
Based on the diagram and information given:
radius: 14 metersarc: RS⇒ which spans 116 degrees of the entire 360 degrees the whole
arc covers
Thus let's solve:
[tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]
Answer: 28.34 meters
Hope that helps!
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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HELP ME PLEASE IVE BEEN STRUGGLING WITH THIS FOR SO LONG
Answer:
m∠ACE = 90°Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
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
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
22.
Round 203.497 to the nearest whole number
Answer:
≈ [tex]\sf 203[/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]
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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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) 13( I will give brainlist ) Help its A Math Problem !!! Determine if the following table is linear, exponential or quadratic. Then write the equation that represents the function.
Answer:
Linear
Step-by-step explanation:
X = X + 1
Y= Y *3
A table of data is linear if there is a constant average rate of change between all pairs of points
There is because X is being added one every time and Y is being multiplied by 3 every time.
Hope this helps!
Find out if the lengths form a right triangle
Answer:
The triangle is a right triangle.
Step-by-step explanation:
Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:
[tex]a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256[/tex]
Therefore, the triangle is right.
I need the answers asap thank you
Answer:
1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C
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
help answer this pls
In the shape below, find the value of d, rounded to one decimal place.
Answer: 128.7
Step-by-step explanation:
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
How many scalene triangles can be made?
Answer:
I think 24.
Step-by-step explanation: