Answers
Answer:
4
Step-by-step explanation:
Break down the shape into a rectangle and a triangle
To find the base of the triangle subtract
(3x-1)-(x+1)= 2x-2
which means the area of the triangle is
.5(2x-2)(x-1)= x²-2x+1
Let's then find the area of the rectangle
(x+1)(x-1)= x²-1
Take the sum and set this equal to 40
(x²-2x+1)+(x²-1)=40
simplify...
2x²-2x-40=0
x²-x-20=0
(x-5)(x+4)=0
Reject the negative answer and get x=5
Then it's just a matter of plugging in x=5 for the height (x-1)
5-1=4 which is the final answer
Answer:
4 cm.
Step-by-step explanation:
Area formulas:
A(Rectangle) = bh
A(Triangle) = 1/2bh
A(Trapezium) = A(Rectangle) + A(Triangle)
Use the information given and substitute the values to solve for the missing height:
A(Rectangle) + A(Triangle) = A(Trapezium)
bh + 1/2bh = 40
(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40
x² - 1 + x² - 2x + 1 = 40
2x² - 2x = 40
2x² - 2x - 40 = 0
Use Quadratic Formula to solve for x:
a = 2, b = -2, c = -40
x = (-b ± √(b² - 4ac))/2a
x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)
x = (2 ± 18)/4
x = 5 and x = -4
Since we cannot have a negative height, we use x = 5:
h = (5) - 1 = 4
Therefore, the height of the trapezium is 4 cm.
Related Questions
Find the sum of the first 8 terms of the following series, to the nearest integer.
9
36,9,
4
Answers
A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent.
Answers
Answer:
shaded =25 %
un shaded = 75 %
Step-by-step explanation:
Total parts = 4
shaded part = 1
un shaded parts = 3
percentage of shaded part
[tex]=\frac{1}{4}\times 100 % = 25 %[/tex]
= 25 %
Percentage of un shaded parts
[tex]= \frac {3}{4}\times 100 = 75 %[/tex]
= 75 %
In the diagram below. De and Ef are tangent to 0. Which equation could be solved to find y, the measure of DGF? O A. ;(-127) = 53 OB. }(v + 127) = 53 O c. }(y-53) = 127 OD. } (x + 53) = 127
Answers
Answer:
A
Step-by-step explanation:
The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is
[tex]\frac{1}{2}[/tex] (y - 127) = 53 → A
The intercepted arcs of y is 1/2(y -127) = 53.
What is intercepted arc?
The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.
Let, DE and EF exist as tangents to O.
The value of y will be evaluated as follows:
For angle created outside of circle by intersection:
Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:
An angle formed outside = 1/2(Difference of Intercepted Arcs)
An angle formed outside exists ∠DEF = 53°
Intercepted arcs exist y and 127°
Hence, 53 = 1/2(y -127)
Therefore, the correct answer is option C). 1/2(y -127) = 53.
To learn more about intercepted arcs refer to:
https://brainly.com/question/1626547
#SPJ2
What type of function is represented by the table of values below?
х
1
2
3
4
5
у
2
4
8
16
32
A. exponential
B. quadratic
C. cubic
D. linear
Answers
Answer:
Step-by-step explanation:
This is exponential. I'll show you how I found it. After many attempts at other types of functions, I realized the points were either forming a quadratic or an exponential. Definitely not a line.
the standard form of an exponential function is
[tex]y=a(b)^x[/tex] so we sub in coordinates from the table to determine what the equation is and then test it on another set of points to see if it works. Using the first coordinate of (1, 2):
[tex]2=a(b)^1[/tex] so
[tex]a=\frac{2}{b}[/tex] . The next coordinate is (2, 4), so:
[tex]4=\frac{2}{b}(b)^2[/tex] which simplifies down to
4 = 2b so
b = 2. Now we plug in 2 for b and solve for a:
a = 2/2 which is 1. So the equation, if this is exponential, is
[tex]y=1(2)^x[/tex] Let's test the next point in line and see if it works, (3, 8):
[tex]8?=?1(2)^3[/tex] and yes, 8 is equal to 2 cubed. And the next point says that 16 should equal 2 to the 4th, and it does, as well. So this is exponential...growth to be specific.
Name the marked angle in 2 different ways.
Answers
Answer:
∠XWV ∠UWV
Hope this helps! :)
PR and SU are parallel lines.
Which angles are alternate interior angles?
Answers
Answer:
Alternate interior angles are on opposite sides of the transversal, and between the parallel lines
Step-by-step explanation:
If f(x)=2(x)2 +5w/(x+2)
(2) =
F(2)=
Answers
Answer:
16+5w/4
Step-by-step explanation:
Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)
Answers
Answer:
second option , third option and last option
Step-by-step explanation:
3x - 12 - 2(x + 12)
=3x - 12 -2x - 24
=x - 36
If pi is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 18 cm?
57 cm
50 cm
54 cm
56 cm
Answers
Answer:
54 cm
Step-by-step explanation:
Hi there!
1) Round pi
π = 3.14159265...
Rounded to a whole number ⇒ 3
2) Determine the circumference
C = πd where d is the diameter
Plug in the diameter
C = 18π
Plug in π
C = 18(3)
C = 54
Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.
I hope this helps!
please give the answer if your answer will be correct I promise that will mark as brainliest
Answers
Answer:
4 1/2 : 2 1/4
Divide both sides by 2 1/4
2 : 1
-------------------------------
3 months : 1 year
1 year = 12 months
3 : 12
Divide both sides by 3
1 : 4
4÷1×2 it the answer and questions
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
Answers
What is the value of y?
16
50
130
164
Answers
Answer:
where is the figure
Step-by-step explanation:
u should upload the figure too
Answer:
C. 130
Step-by-step explanation: Hope it helps ^w^
please help, giving points and brainlest !!
Answers
Answer:
(7,-8)
Step-by-step explanation:
it's a reflection off the x-axis correct me if im wrong i can barely see
Answer:
(7,-8)
Step-by-step explanation:
Point A is at (7,8).
the x-axis is the horizontal line.
Point A is 8 units up of the x-axis so the reflection would be down 8 units from the x-axis in the same line.
Hope this helps.
An express train travel from A to B for 4 hours. A normal train travel from B to A for 10 hours. Both of them started at the same time. The average speed of the express train is greater than the average speed of the normal train 90km/h. Find the average speed of the normal train?
Answers
Answer:
The speed of the normal train is 60 kilometers per hour.
Step-by-step explanation:
Let suppose that both trains move at constant speed and cover the same distance. Then, we have the following identity:
[tex]v_{1}\cdot t_{1} = v_{2}\cdot t_{2}[/tex] (1)
Where:
[tex]v_{1}, v_{2}[/tex] - Average speeds of the express train and the normal train, in kilometers per hour.
[tex]t_{1}, t_{2}[/tex] - Travel times of the express train and the normal train, in hours.
In addition, there is the following relationship between average speeds:
[tex]v_{1} = v_{2} + 90[/tex] (2)
By (2) in (1), we have the following expression for the average speed of the normal train:
[tex](v_{2} + 90) \cdot t_{1} = v_{2}\cdot t_{2}[/tex]
[tex]90\cdot t_{1} = v_{2} \cdot (t_{2} - t_{1})[/tex]
[tex]v_{2} = \frac{90\cdot t_{1}}{t_{2}-t_{1}}[/tex]
If we know that [tex]t_{1} = 4\,h[/tex] and [tex]t_{2} = 10\,h[/tex], then the average speed of the normal train is:
[tex]v_{2} = 90\cdot \left(\frac{4\,h}{10\,h - 4\,h} \right)[/tex]
[tex]v_{2} = 60\,\frac{km}{h}[/tex]
The speed of the normal train is 60 kilometers per hour.
If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out if they are similar triangles?
a.
the other angles are proportional
c.
ratios of the sides will be equal
b.
the vertical angles will be congruent
d.
ratio of the sides will not be equal
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
The answer is A) the other angles are proportional.
Explanation:
If you already know what 2 of the 3 sides are of each triangle, it only makes sense that the 3rd side would be proportional to those of the 1st triangle.
Find the surface area of
the prism.
12 in.
6 in.
5 in.
The surface area is in.2.
Answers
Answer:
324
Step-by-step explanation:
SA = 2 ( lw + hl + hw )
l = length
w = width
h = height
Given Dimensions
l = 6
w = 5
h = 12
* plug in to SA formula *
SA = 2 ( (6)(5) + (12)(6) + (12)(5) )
(6)(5) = 30
(12)(6) = 72
(12)(5) = 60
SA = 2 ( 30 + 72 + 60 )
30 + 72 + 60 = 162
SA = 2(162) = 324
Not drawn
accurately
18.2 cm
7 cm
16.8 cm
Is the triangle a right-angled triangle?
You must show your working.
Answers
Answer:
Yes, It is a Right Triangle.
Step-by-step explanation:
The hypotenuse is the longest side of the triangle, so for this problem we set the hypotenuse's value to 18.2
From there it doesn't matter which side is which, as both will undergo the same operations.
If the following equation is true, then it is a right triangle.
7²+16.8²= 18.2²
49 + 282.24 = 331.24
The equation is True.
It is a right-angled Triangle.
A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship
Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.
Answers
Answer:
(a) See attachment
[tex](b)\ y =2.5x[/tex]
Step-by-step explanation:
Given
[tex]x \to pineapple[/tex]
[tex]y \to fruit[/tex]
[tex]x : y =2 : 5[/tex]
Solving (a): The graph
First, we create an equation from [tex]x : y =2 : 5[/tex]
Express as fraction
[tex]\frac{x }{ y} =\frac{2 }{ 5}[/tex]
Cross multiply
[tex]2y = 5x[/tex]
See attachment for graph
Solving (b): An expression that represents the relationship
In (a), we have:
[tex]2y = 5x[/tex]
Divide by 2
[tex]y = \frac{5}{2}x[/tex]
[tex]y =2.5x[/tex]
There are five peanut brittle to every two chocolate if there is a box of 28 sweets how many cholocate are there
Answers
Answer:
8 chocolates
Step-by-step explanation:
im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3
Which of the following statements describes the process for solving 4x ≥ -24?
A. Divide both sides of the inequality by 4 and flip the symbol.
B. Divide both sides of the inequality by -24 but don't flip the symbol.
C. Divide both sides of the inequality by 4 but don't flip the symbol.
D. Divide both sides of the inequality by -24 and flip the symbol.
Answers
Answer:
C. Divide both sides of the inequality by 4 but don't flip the symbol.
Step-by-step explanation:
When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:
x ≥ -6
Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.
I really hope this helps! Have an amazing day :3
Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.
Answers
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75
Popcorn was $5.75 a bag and drinks were $2.25 each
A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.
Answers
Answer:
d is the answer ✌sin ०=3000/3050
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve each equation. Leave the answer as an improper fraction.
16x2 = 49
NEXT QUESTION ASK FOR HELPTURN IT IN
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TERMS OF USE
Answers
Answer:
Given : isosceles right triangle hypotenuse = 8 cm
To find : leg of isosceles right triangle
Solution
isosceles right triangle
Hence Perpendicular = base
Both legs are of Equal length
Applying Pythagoras theorem
Perpendicular² + base² = Hypotenuse²
Hypotenuse = 8 cm given
=> Perpendicular² + base² = 8²
Perpendicular = base = x
=> x² + x² = 64
=> 2x² = 64
=> x² = 32
=> x = 4√2
legs of isosceles right triangle whose hypotenuse is 8 cm
are 4√2 cm
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft
Answers
Answer:
173.3ft
Step-by-step explanation:
We'll start by the rectangle below
so remember the formula: l · w · h
10 · 4 · 3 = volume
volume = 120 ft
Rectangular pyramid
Volume = [tex]\frac{1}{3}[/tex] b · h
Volume = 1/3 40 · 4
Volume = 1/3 160
Volume = 53.3 ft
120 + 53.3 = 173.3 ft
Which is a solution to the equation |10-5y|=20
Answers
For which segment is B a midpoint?
Answers
Answer:
AC with endpoints at A(1; -1) and C(5; 3)
Enter an equation in point-slope form for the line. (4, 4) and (-9, 4) is on the line..
Answers
Answer:
y=4
Step-by-step explanation:
it's a straight line on y=4
Express 5m2 in cm2 please answer fast!
Answers
Answer:
500000 cm2
Step-by-step explanation:
Help for brainliest
Find h.
9 ft
h = [?] ft
Answers
Answer:
[tex]\sqrt{77}[/tex] ft
Step-by-step explanation:
Hi there!
Notice how we can create a right triangle in the cone, where the base is 2 ft (4/2=2), the height is h and the hypotenuse is 9 ft.
Using these values, we can solve for h with the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the two legs of a right triangle and c is the hypotenuse.
Plug in 2 and h as a and b and 9 as c:
[tex]2^2+h^2=9^2\\4+h^2=81\\h^2=81-4\\h^2=77\\h=\sqrt{77}[/tex]
I hope this helps!
Question 4 Multiple Choice Worth 1 points)
(01.02 MC)
Solve for :
2 x -
(x - 2) = 4x
Answers
Answer:
[tex]\small \sf \frac{2}{3} = x \\ [/tex]
Step-by-step explanation:
Solve for x;
2x - ( x - 2 ) = 4x
distribute minus sign through parantheses
2x - x + 2 = 4xcombine like terms
x + 2 = 4xsubtract x from both side
x - x + 2 = 4x - x2 = 3 xDivide each side by 3
[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]
[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]