Trapezium
parallel sides = 18 cm, 12cm
Height = 8cm
____Area of trapezium =
[tex] \frac{1}{2} \times (a + b) \times h[/tex]
____[tex] \frac{1}{2} \times (a + b) \times h[/tex]
[tex] \frac{1}{2} \times (18 + 12) \times 8[/tex]
[tex] \frac{1}{2} \times (30) \times 8[/tex]
[tex] \frac{1}{1} \times (15) \times8[/tex]
[tex]120 \: cm ^{2} [/tex]
____Therefore, Area of trapezium is [tex]120 \: cm {}^{2} [/tex]
Answer:
Area of Trapezium = 120 cm³
Step-by-step explanation:
Trapezium = 1/2 * (a+b) * h [Formulae]
A & b = Sum of parallel sides
Given that,
Height H = 8Sum of parallel sides = 18 and 12, 18+12Solved:
1/2(18+12)8 cm²1/2 * 30 * 8 cm²15 * 8 cm²120 cm²Therefore,the area of trapezium is 120 sq. cm or 120 cm².
A sphere has a radius of 2 inches. What is the approximate volume of half of the sphere?
Volume:-
[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi r^3[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi (2)^3[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32\pi}{3}in^3[/tex]
Half volume:-
[tex]\\ \rm\Rrightarrow V=\dfrac{16\pi}{3}in^3[/tex]
Answer:
16.8 in³ (nearest tenth)
Step-by-step explanation:
Volume of a sphere
[tex]V=\dfrac43 \pi r^3[/tex]
(where V is volume and r is the radius)
Volume of a hemisphere
[tex]\textsf{Volume of a hemisphere}=\dfrac12 \ \textsf{Volume of a Sphere}[/tex]
[tex]\implies V=\dfrac12 \cdot \dfrac43 \pi r^3=\dfrac23 \pi r^3[/tex]
Given:
r = 2 in[tex]\begin{aligned}\implies V & =\dfrac23 \pi (2)^3\\\\ & =\dfrac{16}{3} \pi\\\\ & =16.8 \ \sf in^3 \ (nearest \ tenth)\end{aligned}[/tex]
Consider the function f(x)= 3x^2-6x/x-2. What is the factored form of the numerator?
in me girl 7735293+3;$7373-$-$-37372+2
720 students were asked how they travelled to school. The pie chart shows the results of this survey; Find a how many of the students travelled to school by bus. b. how many students travelled on foot. Cycle 20 32° Bus 56 Foot Train 48°
120 of the 720 students travelled on foot
What is a pie chart?
A pie chart is a graph or chart that graphically represents data in a circle with each pie slice showing the size of data.
From the pie chart attached, the proportion of students that walked is 60°, hence for 720 students:
Number of those who travelled on foot = (60 / 360) * 720 = 120
120 of the 720 students travelled on foot
Find out more on pie chart at: https://brainly.com/question/25796636
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
from my math book
Answer:
x = 1
Step-by-step explanation:
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
2x+12-8x = (6x+6)/6 +4
-6x + 12 = x+1+4
12-5 = 7x
7x = 7
x=1
Hope this helps!
2x + 4(3-2x) = 3(2x+2)/6 +4
Break the brackets :
2x + 12 - 8x = (6x+6)/6 + 4
2x + 12 - 8x = x + 5
2x + 12 - 8x - (x+5) = 0
2x + 12 - 8x - x - 5 = 0
-7x + 7 = 0
-7x = -7
x = 1.
Hope it helps :)
all of my faces are congruent.
I have 8 vertices
I am a 3D figure
what am I?
All the faces are the same and 8 vertices would make a cube.
Answer: cube
All of its faces are congruent, it has 8 vertices and it is a 3D figure, so it is a cube.
A cube is a three-dimensional geometric shape that meets the given criteria.
Let's break down the reasons why:
All Faces Congruent: In a cube, all six faces are congruent to each other.This means that each face has the same shape and size, and all angles within the cube are right angles (90 degrees).
8 Vertices: A cube has 8 vertices (corners).Each vertex is the point where three edges of the cube meet.
3D Figure: A cube is a three-dimensional object.It has length, width, and height, making it a 3D geometric figure.
A cube is a special type of rectangular prism where all sides are equal in length.
Its symmetry and regularity in terms of congruent faces, edges, and vertices make it a fundamental and easily recognizable three-dimensional shape.
learn more on 3D Figure
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solve for h
24 = 3(h-5)
Answer:
H = 13
Step-by-step explanation:
==>24 = 3(h-5)
==> 3(h - 5)=24
==> 3h - 15 =24
==> 3h = 24 + 15
==> 3h = 39
==> [tex]h = \frac{39}{3} [/tex]
==> h = 13
Slope-Intercept Form
-14x+y=7
Answer:y=14x+7
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST
A bucket is being filled with water. The graph below shows the water height (in mm) versus the time the water has been running (In seconds).
Use the graph to answer the questions.
Answer:
6 mm slope 3
Step-by-step explanation:
The altitude of the base of a cloud
formation is called the ceiling. To find the ceiling
one night, a meteorologist directed a spotlight
vertically at the clouds. Using a theodolite placed
83 meters from the spotlight and 1. 5 meters above
the ground, he found the angle of elevation to be
62. 7º. How high was the ceiling?
The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
Right angle triangle:Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
160.809554025 + 1.5 = 162.309554025 mlearn more on right angle triangle here; https://brainly.com/question/13481976
I need help i don't know how to do this. Where does the 7.5 go?
Answer:
it goes in the middle of 7 and 8
-- :
, er ., . , , . !
The triangles shown below must be congruent.
False
True
Answer:
true. They are the same shape and same size.
Step-by-step explanation:
Use the algebra tiles to help you solve the equation 2x - 4 + 14 . What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answer:
[tex]2*2[/tex] ← equals 4
[tex]-4[/tex] ← equals 0
[tex]+14[/tex] ← equals 14
↑ This equation means multiply 2 by itself one time, subtract 4, and add 14. Let's find the value.
Therefore,
the value is 14. Result may vary with x. There are ways to factorize this, but I did not want to confuse you. [tex]:)[/tex]
You throw a ball straight up with a velocity of 40 meters per second. What is the ball's velocity after 3 seconds?
Answer:
120 meters
Step-by-step explanation:
40x3 because the ball went up with a velocity of 40 meters a second and it went for 3 seconds so 40+40+40=120 or 40x3=120 (if this is wrong I'm sorry)
Answer:
13.33
Step-by-step explanation:
40÷3=13.33 is gonna be your answer
I need help with bisectors
Answer:
m∠ABC = 65° as both m∠ABC is similar to m∠DBC
Explanation:
notice: the two signs on top of the angles which refers to them being similar.
Compute the coefficient of variation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37.
which model shows one way to determine the area of a rectangle the 7/10 meter long and 3/5 meter wide?
Answer:
7/10 * 3/5
Step-by-step explanation:
the formula for the area of a rectangle is L*W which is 7/10 * 3/5
L stands for length and W for width.
How do you add decimals? I need 2 Examples (not from the internet)
well These are the Images on how to add decimals.
The top of a cube has an area of 25 square inches. What would be the length of one of its sides, s, be?
PLEASE SHOW WORK TYY
Answer:
The length of one of the sides would be 5 in.
Step-by-step explanation:
Every cube has 6 faces. Each of those faces is a square.
Since all the sides of a square are equal, we can figure out the length of one of them by looking at the area.
The area of the square is 25 square inches.
The formula to find the area is length times width or l · w
Since all of the sides have to be equal, we just have to find a number that can be multiplied by itself to get 25.
Well, 5 can be multiplied by itself to get 25.
5 x 5 = 25
So, the length of one of the sides would be 5 inches.
HELP HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!! ASAP
i think its b so yeah
What value of x will make these two expression equivalent?
-3/7 and x/21
A X=-3 B x=7 Cx=9 Dx=-9
Answer:
D. x = -9
Step-by-step explanation:
We want -(3/7) = (x/21)
Cross multiply: 7x = - 63
x = - 9
Check:
Does (-9/21) = -(3/7)?
(-9/21) reduces to -(3/7) YES
find the slope given points (3,2) (4,7)
Answer: The slope is 5.
Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)
(7-2)/(4-3)
5/1 = 5
Have a nice day! :)
The soccer net in Peter's back yard is 5 1/2 feet high, but only 4 feet wide. Jill's soccer net is also 5 1/2 feet high, but is 12 feet wide How many times larger is the area of Jills soccer net? Explain your solution.
The area of Jill's soccer net is 3 times larger than area of Peter's soccer net.
Area of Peter's soccer net
The area of Peter's soccer net is determined by using area of rectangle as shown below;
A1 = 5.5 ft x 4 ft
A1 = 22 ft²
Area of Jill's soccer netA2 = 5.5 ft x 12 ft
A2 = 66 ft²
Ratio of the area of their soccer netA2/A1 = 66/22
A2/A1 = 3
Thus, the area of Jill's soccer net is 3 times larger than area of Peter's soccer net.
Learn more about area of rectangle here: https://brainly.com/question/25292087
Solve -6+x=16 please answer this question 15 points
Answer:
X=22
Step-by-step explanation:
Hope this helps, have a good day
The dimensions, in centimetres, of this rectangle are shown as algebraic expressions.
Not to scale
5x-y-8
3x + y-4
2x-6-3
3x + 5y +4
Work out the length and width of the rectangle.
Answer:
length = 15
Width = 9
Step-by-step explanation:
In a rectangle opposite sides are equal.
5x - y- 8 =3x +5y + 4
5x - 3x -y - 5y = 4 + 8
2x - 6y = 12
Divide the entire equation by 2
x - 3y = 6 --------------(I)
3x + y - 4 = 2x - 6y - 3
3x - 2x + y + 6y = -3 + 4
x + 7y = 1 -------------(II)
Multiply equation (II) by (-1)
(I) x - 3y = 6
(II)*(-1) -x - 7y = -1 {Now add. 'x' will be eliminated}
-10y= 5
y = 5/(-10)
y = -0.5
Plugin y = -0.5 in equation (I)
x - 3*(-0.5) = 6
x + 1.5 = 6
x = 6 - 1.5
x = 4.5
Length = 5x - y - 8
= 5*4.5 - (-0.5) - 8
= 22.5 + 0.5 - 8
= 23 - 8
Length = 15
Width = 2x - 6y - 3
= 2*4.5 - 6*(-0.5) - 3
= 9 + 3 - 3
Width = 9
Solve for x.
5x/−6 = −40/3
Enter your answer in the box
Answer:
[tex]x = 16[/tex]
That's your answer
Answer:
5x/_6 =_40/3(cross product)
after,15x/15=240/15
x=16
Factor completely x2 − 10x 25. (x − 5)(x − 5) (x 5)(x 5) (x 5)(x − 5) (x − 25)(x − 1).
Answer:
[tex](x-5)(x-5)[/tex]
Step-by-step explanation:
We need to find two numbers that multiply to get 25 and have a sum of -10...
(-5)(-5)=25
-5-5=-10
We can split -10x into -5x and -5x:
[tex]x^2-5x-5x+25[/tex]
Factor each half of the expression separately:
[tex]x(x-5)-5(x-5)[/tex]
Since both x and -5 are being multiplied by (x-5), we can combine them to get:
[tex](x-5)(x-5)[/tex]
Explain why the binomial n2 - 16 is not equal to (n + 8)(n - 8). please helppp due in 10 minutesss
Answer:
see explanation
Step-by-step explanation:
n² - 16 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b) , then
n² - 16
= n² - 4²
= (n + 4)(n - 4)
cannot be (n + 8)(n - 8)
= n² - 64
Answer/Step-by-step explanation:
Let's first solve [tex](n+8)(n-8)[/tex]
Distribute
[tex]n(n-8)+8(n-8)[/tex]
Distribute
[tex]n^2-8n+8(n-8)[/tex]
Distribute
[tex]n^2-8n+64[/tex]
Combine like terms
[tex]n^2-64[/tex]
Therefore n2-16 is not equal to (n+8)(n-8) because (n+8)(n-8) is equal to n^2-64.
[RevyBreeze]
What is the measure of the missing length? Round to the nearest tenth.
HELP PLEASE IREALY NEED HELP
HELLPPPP
The following spinner has four sections. There are equal sections for 1, 4, and 3. The section for 2
is twice as large as each of the other sections. The spinner has four sections as described in the problem. What is the probability of spinning the spinner and landing on 2?
Answer:
Step-by-step explanation:
Let the section size for section 1, section 4 and section 3 = x for each of them
Let the section size for Section 2 = 2x
Total size for the three = sections = 3x + 2x = 5x
P(2) = 2x/5x = 0.4 The xs cancel
Answer: P(2) = 0.4
5 to 7 and please solve with equations thx
Answer:
See attached image
Step-by-step explanation:
The starting point for an e=inequality will have either an empty of filled-in circle. When empty, it signifies that the exact point is NOT included. If the inequality is x < 2, for example, the line would begin at 2, but marked with an empty circle. If, however, the inequality is x =< 2, then the circle is filled in, signifying that the number 2 is included in the set.
