Answer:
C. 18 units.
Step-by-step explanation:
The value of the length of YX is, 8 units
And, The lower base will be 18 units.
Since, The tangent of an angle is the ratio between the opposite side of the angle and the adjacent side of the angle.
⇒ tanθ = opposite side/adjacent side
So according to asked question;
In the trapezoid VWXZ,
VW || XZ
Height of trapezoid= VZ = WY = 8√3
VW = 10
∠YWX = 30°
∠WXY = 60°
In triangle ΔWYX,
∠WYX = 90°
ΔWYX is a right angle triangle
So, tan ∠YWX= XY/WY
⇒ tan30° = XY/8√3
⇒ 1/√3 = XY/8√3
⇒ XY = 8√3/√3
⇒ XY = 8 units
Thus, The length of the lower base is,
ZX = ZY + XY = VW + XY = 10 + 8 = 18units
Therefore, The lower base will 18 units.
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Find the surface area of the pyramid. The side lengths of the base are equal.
The surface area is
square inches.
Answer:
251.6
Step-by-step explanation:
triangle= 1/2bh
1/2(8)14 times 4
224
1/2(6.9)8
27.6
now you add them
224+27.6= 251.6
Answer:
251.6
Step-by-step explanation:
Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Part 1: Find and list all the possible roots of F(x).
Part 2: Use the remainder Theorem to determine which of the roots from Part I are roots of F(x).
Part 3:Factor the polynomial F(x)=x^3-x^2-4x+4 completely show your work.
Part 4:check your answer from Part 3 by multiplying the factors. Show your work
Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
1 0 -4
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:
[tex]x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)[/tex]
PART 4:
[tex]f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4[/tex]
Express 0.31 as a percent.
Answer: 31%
Step-by-step explanation: We can change a decimal to a percent by moving the decimal point two places to the right.
So in this problem, to change 0.31 to a percent, we
move the decimal point two places to the right.
So we have 31%.
So 0.31 can be written as 31%.
This should make sense because 0.31 can be read
as 31 hundredths or 31 over 100 which is 31%
Answer:
31%
Step-by-step explanation:
To change 0.31 into a percent, you must move the decimal to the right two times.
When we move the decimal in 0.31, it will look like this:
03.1
Now, if we move the decimal again, it will look like this but will be equivalent to 31%:
031. = 31%
Another step-by-step explanation:
You can also write 0.31 as a fraction which is:
31/100 = 31%
It will still be equal to 31%.
Therefore, 0.31 as a percent is equal to 31%.
Hope this helps!
~Hocus Pocus
A plane intersects the triangular prism below through points A, B, and C.
A triangular prism The bottom left vertex of the top base is labeled A. The top vertex of the bottom base is labeled B. The bottom right vertex of the bottom base is labeled C.
Which best describes the cross-section?
Answer:
triangle
Step-by-step explanation:
2) Find the common difference in the arithmetic sequence, an, in which a1 = 16 and a9 = 36.
[Show all work.]
The common difference in the arithmetic sequence is 2.5
What is arithmetic sequence ?
Arithmetic sequence is a sequence in which the differences between consecutive terms are always same.
Example : 2, 5, 8, 11, ..... is an arithmetic sequence where the common difference is 3.
What is the formula of arithmetic sequence ?Formula of arithmetic sequence is [tex]a_{n} =a_{1}+(n-1)d[/tex] ,
where [tex]a_{n}[/tex]= [tex]n^{th}[/tex] term in the sequence,
[tex]a_{1}[/tex]= [tex]1^{st}[/tex] term in the sequence,
d = common difference between terms
How to find required common difference ?Given, [tex]a_{1}[/tex] = 16 and [tex]a_{9}[/tex] = 36
Let, d be the common difference.
∴ From the formula of arithmetic sequence,
[tex]a_{9} =a_{1}+(9-1)d[/tex]
⇒ 36 = 16+8d
⇒ 36-16=8d
⇒ 20=8d
⇒ d = 20/8
⇒ d = 5/2 = 2.5
Hence, The common difference is 2.5
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Stacey rolls a number cube and flips a coin. what is the probability that she rolls a 5 and the coin lands heads up?
Answer:
1/12
Step-by-step explanation:
1/6 for the number cube
and 1/2 for the coin landing on heads
1/6 times 1/2
Please answer CORRECTLY , Will mark brainliest !!!!!!
Answer:
A
Step-by-step explanation:
_____ are lines that are neither parallel nor intersecting.
Answer: Skew line
Step-by-step explanation:
Because it’s 3 dimensional
Determine the length of the arc that subtends an angle of 2.8 radians at the centre of a circle with a radius 12cm.
A. 13.3 cm
B. 33.6 cm
C. 16.8 cm
D. 148.0 cm
Answer:
B. 33.6 cm
Step-by-step explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm
Please answer CORRECTLY !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
C.
Step-by-step explanation:
So just make the statement easier to read.
Simplify it down to 8 > 2 * 5
The students that had grade 8 was more than twice the number of students who got 5.
Answer:
cStep-by-step explanation:
the > is pointing at the 8 which means the 8 is bigger
After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus $0.35 per mile. Which type of function could model the cost of the taxi ride?
Answer:
The answer would be A. 1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Starting at origin. do 4 space up and 3 spaces left
Answer:
The coordinates would be (3,4)
Step-by-step explanation:
True or false?
Circumference/diameter = π for every circle.
Answer:
True
Step-by-step explanation:
Just remeber C then D Like a CD, because a cd is a circle XD hope I help
One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
Hey there!
To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)
A=2B-15 (one angle is 15 degrees less than twice the other)
A+B=180
We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.
Let's solve with substitution!
2B-15+B=180
3B-15=180 We combine our Bs.
3B=195 We add 15 to both sides.
B= 65 We divide both sides by three.
Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.
180-65=115
Our two angles are 65° and 115°.
We can also check this with the original problem.
If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!
I hope this helps! Have a great day!
What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction –2 + StartRoot 2 EndRoot 2 – StartRoot 2 EndRoot 1 + StartRoot 2 EndRoot –1 + StartRoot 2 EndRoot
Answer:
x = 1 + sqrt 2
Step-by-step explanation
Answer:
c
Step-by-step explanation:
What is the solution to the inequality IX-4| <3?
Answer:
x > 1 and x< 7 , or it can be written as
(1 , 7)
Step-by-step explanation:
IX-4| < 3
x - 4 < 3 and - (x - 4) < 3
x< 7 - x + 4 < 3
- x < - 1
x > 1
x > 1 and x< 7
(1 , 7)
What is the value of log, 3437
Answer:
i got 3.5....................
Given that the quadrilateral EFGH is a trapezoid, m
Answer:
I need more information
Step-by-step explanation:
Answer:
z = 4°
Solution:
Given EFGH is an isosceles trapezoid.
By the property of isosceles trapezoid, non-parallel sides are congruent.
⇒ GH = EF
Angles opposite to equal sides are congruent.
∠H ≅ ∠G
m∠H = m∠G
105° = 3z + 93°
Subtract 93° from both sides, we get
12° = 3z
Divide by 3 on both sides, we get
4° = z
Switch the sides.
z = 4°
Hence the value of x is 4°.
A scientist is studying a colony of bacteria. Initially, the colony consists of 126 bacteria. The following function represents the number of bacteria in the colony after h hours, where r is the rate of growth.
it's 5. Five... just five
1, Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and y.
2. Two lines meet at a point that is also the vertex of an angle. Set up and solve the appropriate equations to determine and .
3. Two lines meet at a point that is also the endpoint of two rays. Set up and solve the appropriate equations for and n?
THE PICTURES ARE IN order
Answer:
Take a look at explanation below;
Step-by-step explanation:
See attachment( s ) below;
The value of x and y angles on the given lines are x=35 degrees and y=125 degrees.
What is a straight line?A line is a collection of points which joins the two points on the surface.
How to calculate an angle?If we consider the angles which are linear pair, we found that
55 +y=180 because they are on a straight line.
From the figure wee found that x+55+90=180 because they are on a straight line.
solving the second equation we will get , x=180-145=35
solving the first equation we will get , y=180-55=125.
Hence the value of x angle is 35 degrees and the value of y angle is 125 degrees.
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EDGE 2020 NEED HELP
which is the graph of the function y=2 tan(x+3pi/4)
30 POINTS!!!!! PLEASE HELP
Answer:D
Step-by-step explanation:
Found on another page
Answer:
D
Step-by-step explanation:
write a function a rental company charges $45 per day to rent a car as well as $25 fee for the car's navigation system
Answer:
f(x)=45x+25
Step-by-step explanation:
The graph represents the total costs for renting a bounce house or a dunk tank for a party. What is the meaning of (2, 20)? The rental cost for a dunk tanks starts at $20. The rental cost for a bounce house starts at $40. The costs for a dunk tank and bounce house are the same for 20 hours. The costs for a dunk tank and bounce house are the same for 2 hours.
Answer:
The costs for a dunk tank and bounce house are the same for 2 hours.
Step-by-step explanation:
The costs for a dunk tank and a bounce house are the same for 2 hours.
The meaning of the point (2, 20) on the graph is that the costs for a dunk tank and a bounce house are the same for 2 hours.
At this point, both the dunk tank and bounce house rentals cost $20.
It indicates the point of intersection between the two lines on the graph, where the costs for both options are equal.
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Solve for x:
[tex]x-2(x-\frac{3}{2}x)=2(4-x)+10[/tex]
Answer:
[tex]x = \frac{9}{2}[/tex]
Step-by-step explanation:
x - 2 (x - [tex]\frac{3x}{2}[/tex]) = 2 (4 - x) + 10
x − 2 × [tex]\frac{-x}{2}[/tex] =2(4−x)+10
x−(−x)=2(4−x)+10
x+x=2(4−x)+10
2x=2(4−x)+10
2x=8−2x+10
2x=−2x+18
2x+2x=18
4x=18
[tex]x = \frac{18}{4}[/tex]
[tex]x = \frac{9}{2}[/tex]
Possible side lengths for a rectangular frame are 6 inches, 10 inches, and 12 inches
If all measurements are whole numbers, which dimensions can be used to frame a
picture that has an area between 45 and 50 square inches?
A. 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.
B. 6 in. by 7 in., 10 in. by 5 in., 12 in. by 4 in.
C. 6 in. by 8 in., 10 in. by 4 in., 12 in. by 4 in.
D. 6 in. by 7 in., 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.
Answer:
A
Step-by-step explanation:
You have to times all of them to see the results. For example...
A. 48inches(6x8), 50inches(5x10), 48inches(12x4)
B. 42,50,48(42 is not within 45-50 inches so it can't be B)
C.48,40,48(40 is not within 45-50 inches so it can't be C)
D.42,48,50,48(42 is not within 45-50 inches so it can't be D)
meaning it's A
If you draw all of the diagonals from one vertex of a regular octagon, how
many triangles do you make?
A. 8
B. 4
C. 5
D. 6
Answer:6
Step-by-step explanation:
WILL MARK BRAINLIEST '
IF YOU DONT KNOW DONT ANSWER
Answer: A) Alternate Exterior
Step-by-step explanation:
Let's find out the defenition of alternate exterior; "If a pair of parallel lines are cut by a transversal line, then the alternate exterior angles are congruent".
I hope this helps!
The range of which function includes -4?
O y= √x-5
O y= √x+5
O y= √x+5
O y=√x-5
Answer: A is the correct answer .
Start with the last two choices .
You have x+ 5 and × - 5 in the square root .
A square root can never be negative .
That means that the lowest value of y can have in the last two choices is 0 .
Now range doesn't include -4.
Now look at choice B .
sqrt (x) is at least 0.
Then you add 5 .
The range doesn't include -4.
Now look at choice A .
sqrt (x) is at lest 0 .
Now ,you subract 5 .
The lowest value y can have is -5 . That includes -4.
Choice A is the answer .
y will be at least 5
Hope it works out !
Answer: Option 1 or A on your test
Step-by-step explanation: y= root of x-5
what is the exact volume of the cylinder
Answer:
54π
Step-by-step explanation:
that's the answer ok
Variance and standard deviation
Answer: 8.3
Step-by-step explanation:
To find the variance, you want to find the mean of the data.
[tex]\frac{3+3+8+1+9+6}{6} =5[/tex]
Now that we have the mean, we find the difference between each data point and the mean.
3-5=-2
3-5=-2
8-5=3
1-5=-4
9-5=4
6-5=1
With the difference, you square each and find the average.
(-2)²=4
(-2)²=4
3²=9
(-4)²=16
4²=16
1²=1
[tex]\frac{4+4+9+16+16+1}{6} =\frac{25}{3}[/tex]
The variance is 8.3.