Answers
The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and 14.370 units respectively.
What are parallelogram?
Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.
Therefore, the angles are as follows;
34°34°146°146°Hence,
length of small diagonal = √9²+ 6² - 2(9)(6) cos 34
length of small diagonal = √81 + 36 - 108(0.82903757255)
length of small diagonal = √117 - 89.5360578359
length of small diagonal = √27.5
length of small diagonal = 5.24404424085
length of small diagonal = 5.244 units
5.244² + d² = 2(9² + 6²)
27.499536 + d² = 2(81+36)
d² = 234 - 27.499536
d²= 206.5
d = √206.5
d = 14.3701078632
d = 14.370 units
length of the longer diagonal = 14.370 units
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Related Questions
Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts of the cone. which letter indicates the height? which letter indicates the radius? which letter indicates the diameter? which letter indicates the vertex?
Answers
The parts of the cone can be explained as;
The height is ABThe radius is CBThe diameter is CDThe vertex is AWhat is a cone ?A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.
Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.
Therefore, Vertex is at the top of the cone which is point A.
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Answer:
b
c
d
a
Step-by-step explanation:
;)
4^3 times 4^? = 4^-3. what number is ?
Answers
Answer:
x = -6
Step-by-step explanation:
Let[tex] \: 4^3\times 4^{x}=4^{-3}[/tex][tex] \implies 4^{3+x}=4^{-3}[/tex][tex] \implies {3+x}= {-3}[/tex][tex] \implies {x}= {-3-3}[/tex][tex] \implies {x}= {-6}[/tex][tex] \implies\huge{\red{ 4^3\times 4^{-6}=4^{-3}}}[/tex]Please help me out! Need this done ASAP!
Answers
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
When are two triangles similar? Select all that apply.
All three of their corresponding angles have the same measure.
Two of their corresponding angles are the same angle measure.
Only one of their angles match.
All ratios of corresponding sides are proportional.
Two of their corresponding sides are in the same ratio.
Answers
Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.
What is a triangle?A triangle is a polygon with three sides and three angles.
Types of triangles
Equilateral triangleScalene triangleIsosceles triangleTwo triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.
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What is this? Sin? Cos? Inverse Sin? Inverse Cos?
Answers
Answer:
sin
Step-by-step explanation:
sin=O opposite/hypotenuse
Find the value of x and y
Answers
Answer:
x = 26, y = 120
Step-by-step explanation:
First we will find x.
We know that 3x-18 = 2x+8 because they are corresponding angles
Now we can solve for x
3x-18 = 2x+8 | subtract 2x from both sides
x-18 = 8 | add 18 to both sides
x = 26
Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)
This means we can solve for y using the following :
3x-18 + y = 180 | substitute x for 26
3(26)-18 + y = 180 | simplify
60 + y = 180 | subtract 60 from both sides to isolate y
y = 120
- Kan Academy Advance
Percentage:
A shop has 150 gaming pc. They sold 30.
Find the percentage of the PC that they have not sold.
Answers
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.
Answers
Answer:
[tex]4300 + 100x[/tex]
Step-by-step explanation:
The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.
The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.
Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.
That is the answer
- Kan Academy Advance
HELP ASAP PLS
Which graph represents function gif 9(x) = ƒ(2x)?
(Purple graph is the f(x))
Answers
Answer:
A (correctly marked)
Step-by-step explanation:
The graph of g(x) = f(2x) will be the graph of f(x) horizontally compressed by a factor of 2. The horizontal compression moves each point on f(x) to a distance half as far from the y-axis.
__
The graph of f(x) shows a vertical asymptote at x=2 so the graph of g(x) will have a vertical asymptote at x=1. Only Graph A shows a vertical asymptote at x=1.
Which expression is equal to -4-9?
Answers
Answer:
-4+(-9)
Step-by-step explanation:
if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum
what is the 8th term in the following sequence? 27, 39, 51, 63
Answers
Answer:
the 8th term = 111Step-by-step explanation:
39-27=12
51-39=12
63-51=12
It’s clear that ,in this sequence we add 12 each time to a term to get the next term.
This means that this is an arithmetic sequence with a common difference of 12.
Therefore,
Term1 = 27 ; Term2 = 39 ; Term3 = 51 ; Term4 = 63
Term5 = 75
Term6 = 87
Term7 = 99
Term8 = 111
Method 2 :
Un = U1 + (n-1)r
r is the common difference = 12
U1 = 27 is the first term
Then
U8 = 27 + (8-1)×12
= 27 + 7×12
= 27 + 84
= 111
If h(x) = |2x−6| -2, then what is h(-1)
Answers
Answer:
[tex]h(-1)[/tex] ⇢ [tex]-h[/tex]
please slove question 5
Answers
Answer:
2,160 mm³
Step-by-step explanation:
Q5
V = 1/2 × lwhV = 1/2 × 24 × 10 × 18V = 12 x 10 x 18V = 216 x 10V = 2,160 mm³Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?
A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2
Answers
triple the sum of x and 5
Answers
Answer:
The expression becomes 3(x+5) = 3x+15
7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answers
Answer
6.10
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{149}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]
[tex]\sf \cdot 6.103277808[/tex]
[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
Whats the answer to this
Find n 2\8 = 14n n=?????
Answers
Answer:
n = ±0.13363
Step-by-step explanation:
2/8 - (14*n*(n))=0 • Use this formula for proof
2/8 = 1/4 A^2 - AB + BA - B^2 =
1/4 - 14n^2 = 0 A^2 - AB + AB - B^2 =
14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4 A^2 - B^2
1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4
1 - 56n^2 ÷ 4 = 0
1-56n2 ÷ 4 • 4 = 0 • 4
1-56n^2 = 0
56n^2 = 1
n^2 = 1/56 = 0.018
n ≈ ±0.13363
what is the circumference of a circle that has a diameter of 12 feet
Answers
Answer:
i think it's 37.7
Step-by-step explanation:
Solve This please!
Divide twice the variable x by the summation of z and y.
Answers
Answer:
2x/z+y
Step-by-step explanation:
What is the mean absolute deviation of 3 3 1 9 3 1 8
Answers
Answer:
2.57 or rounded to 1 sig digit just 3
R is the 4th quadrant region enclosed by the x-axis and the curve y = x^2 - 2kx, where k>0. find the value of k so that the area of the region r is 36 square units.
a. 2
b. 3
c. 4
d. 6
will vote brainliest, like, and rate!
Answers
Observe that
y = x² - 2kx = x (x - 2k)
has roots at x = 0 and x = 2k. Since the leading coefficient is 1 > 0, the parabola opens upward, and in particular this means the x-axis lies above the curve.
We can compute the area of R by integrating:
[tex]\displaystyle \int_0^{2k} |x^2-2kx| \, dx = - \int_0^{2k} (x^2-2kx) \, dx \\\\ = kx^2 -\frac{x^3}3 \bigg|_{0}^{2k} \\\\ = \frac{4k^3}3[/tex]
Solve for k :
[tex]\dfrac{4k^3}3 = 36 \implies k^3 = 27 \implies \boxed{k=3} ~~~~ (B)[/tex]
A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section.
I’m really confused, please give an easy and understanding answer.
Answers
Answer:
4meters
Step-by-step explanation:
friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.
Pls solve 3c for me.will mark branliest a
.
Answers
Step-by-step explanation:
if you could solve 3a and 3b, you can also solve 3c. it is the same principle.
x-intercepts means y = 0.
remember, a square root has always 2 results : a positive and a negative one.
3c
0 = -(x - 3)² + 25
(x - 3)² = 25
x - 3 = ±5
x1 = +5 + 3 = 8
x2 = -5 + 3 = -2
3a
0 = (x + 1)² - 4
4 = (x + 1)²
±2 = x + 1
x1 = +2 - 1 = 1
x2 = -2 - 1 = -3
3b
0 = (x + 2)² - 9
9 = (x + 2)²
±3 = x + 2
x1 = +3 - 2 = 1
x2 = -3 - 2 = -5
19. The results of a board game are shown in the table below.
Player
Scores
Joseph
500
Sarah
-1,500
Malachi
-2,200
Tyson
400
Shaun
-600
Summer
-300
I
What is the total of the players' scores?
Answers
i met at the movies at 6:45 we were picked up at 8:15
Answers
Answer:
1 hour and 30 minutes
[tex]t = ch + td = fh[/tex]
where ch is current hour, td is time distance, and fh is final hour.
to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.
[tex]cm(45) - fm(15) = 30[/tex]
If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".
[tex]t = (cm - fm) + eh = 1:30[/tex]
simultaneous eqautions
3x+2y=16
2x+y=9
Answers
Answer:
(2, 5 )
Step-by-step explanation:
3x + 2y = 16 → (1)
2x + y = 9 ( subtract 2x from both sides )
y = 9 - 2x → (2)
substitute y = 9 - 2x into (1)
3x + 2(9 - 2x) =16
3x + 18 - 4x = 16
- x + 18 = 16 ( subtract 18 from both sides )
- x = - 2 ( multiply both sides by - 1 )
x = 2
substitute x = 2 into (2)
y = 9 - 2(2) = 9 - 4 = 5
solution is (2, 5 )
6x+4y = 32
6x+3y = 27
we get,
y = 5
putting y = 5 in eqn (2) we get
2x + 5 =9
2x = 9 -5
2x = 4
or x = 2
therefore x = 2 and y =5.
(2,5)
find the solution to the system of equations. Y=2x+2
Answers
Answer:
[tex](0, 2)[/tex]
Step-by-step explanation:
From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)
Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]
A ball is projected up into the air from the surface of a platform to the ground below. The height
of the ball above the ground, in feet, is modeled by the function f(t) = -16t2 + 96t + 112, where
t is the time, in seconds, after the ball is projected.
State the coordinates of the vertex. Explain what it means in the context of the problem
Answers
The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height of the ball is given by:
f(t) = -16t² + 96t + 112.
Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:
[tex]x_v = -\frac{96}{2(-16)} = 3[/tex][tex]y_v = -\frac{96^2 - 4(-16)(112)}{4(-16)} = 256[/tex]The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
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do the math please. i need it nowwwwww
Answers
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
What is an Algebraic Equation?An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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A goat race is 325 meters long. An ant race is 75 centimeters long.
How much longer is the goat race than the ant race in meters?
Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
Question 2
Step 2: Determine how much longer the goat race is than the ant race in meters.
Answers
The goat race is 324.25 meters longer than the ant race .
How to find the distance differences?
The goat race is 325 meters long. The ant race is 75 centimetres long.
The goat race is in meters while the ant race is in centimetres.
Let's convert the ant race to meters.
Hence,
1 cm = 0.01 m
75 = ?
cross multiply
Ant race = 0.75 meters
Therefore, let's find the difference between the goat race and the ant race.
325 - 0.75 = 324.25 meters.
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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
So=75 cm ÷ 100 = 0.75 m
Step-by-step explanation:
Step 2: Determine how much longer the goat race is than the ant race in meters.
o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.
Remember to line up the decimal points and add zeros as plac
eholders. The difference of 325 and 0.75 is 324.25.
The goat race is 324.25 meters longer than the ant race.