The value of x for the given triangle side in the parallelogram will be 4.
A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
The area of a parallelogram is given as,
(1/2)(sum of parallel sides)(distance between parallel lines)
Area of parallelogram = (1/2)(14 + 14)(10) = 140 square meter.
The area of the right angle triangle = (1/2)base x height.
Area of triangle = (1/2)x × 10 = 5x
Total area = 140 + 5x
160 = 140 + 5x
5x = 20
x = 4
Hence "The value of x for the given triangle side in the parallelogram will be 4".
Learn more about parallelograms here,
#SPJ5
The given question is missing a parallelogram as attached below,
Answer:
80x2
Step-by-step explanation:
.
Answer:
Two legs are 7.0534230 and 9.708203932.
The acute angle is 54 degrees.
Step-by-step explanation:
For the legs, you can use these two formulas:
12*cos(36)
12*sin(36)
(Make sure you put the 36 in degrees)
For the acute angle, 90-54=36 degrees.
Answer:
The answer to your question is:
acute angle = 54°
legs 7 m y 9.7 m
Step-by-step explanation:
Data
Hypotenuse = 12 m
acute angle = 36° = a
acute angle 2 = ? = b
lengths of legs= ?
Process
The sum of the internal angles on a triangle equals 180°
a + b + 90 = 180
36 + b + 90 = 180
b = 180 - 126
b = 54°
sin Ф = opposite leg / hypotenuse
opposite leg = hypotenuse x sin Ф
opposite leg = 12 x sin 36
opposite leg = 7 m
Pythagorean theorem
c² = a² + b²
a² = c² - b²
a² = 12² - 7²
a² = 144 - 49
a ² = 95
a = 9.7 m
Answer:
Step-by-step explanation:
We assume you want your model to be ...
p = c·e^(kt)
Filling in (t, p) values of (3, 484) and (5, 1135), we have two equations in the two unknowns:
484 = c·e^(3k)
1135 = c·e^(5k)
Taking logs makes these linear equations:
ln(484) = ln(c) +3k
ln(1135) = ln(c) +5k
Subtracting the first equation from the second, we have ...
ln(1135) -ln(484) = 2k
k = ln(1135/484)/2 ≈ 0.42615
Using that value in the first equation, we find ...
ln(484) = ln(c) +3(ln(1135/484)/2)
ln(c) = ln(484) -(3/2)ln(1135/484)
c = e^(ln(484) -(3/2)ln(1135/484)) ≈ 134.8
The initial number in the culture was 135, and the k-value is about 0.42615.
_____
I prefer to start with the model ...
p = 484·(1135/484)^((t-3)/2)
Then the initial value is that obtained when t=0:
c = 484·(1135/484)^(-3/2) = 134.778 ≈ 135
The value of k the log of the base for exponent t. It is ...
ln((1135/484)^(1/2)) = 0.426152
This starting model matches the given numbers exactly. The transformation to c·e^(kt) requires approximations that make it difficult to match the given numbers.
__
For this model, the base of the exponent is the ratio of the two given population values. The exponent is horizontally offset by the number of days for the first count, and scaled by the number of days between counts. The multiplier of the exponential term is the first count. The model can be written directly from the given data, with no computation required.
Answer: Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Step-by-step explanation: x+8y-7z=12 5x+9y+5z=15 6z-3y-8x=1. - 18028782.
The system of equations provided can be converted into an augmented matrix as follows: [[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]. The dimensions of this matrix are 3x4.
The provided system of equations is:
1. x + 8y - 7z = 12
2. 5x + 9y + 5z = 15
3. -8x - 3y + 6z = 1
We can represent this system as an augmented matrix by aligning the coefficients of the variables and the constants. The augmented matrix is:
[[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]
The dimensions of this matrix represents the number of rows and columns it has. In this case, this matrix is a 3x4 matrix because it has 3 rows and 4 columns.
#SPJ12
Answer:I think it is
7 -5
Step-by-step explanation:
Answer:
D-(7, –5)
Step-by-step explanation:
hope this helps:)
example, if after you rolled the dice, and one die was a 3 and the other was a 4, you
will have rolled a 7.
Select all of the TRUE statements below. There may be more than one.
The probability of rolling the same digit with each die is 1/4.
The odds in favour of rolling a 10 is 1:13.
The odds against rolling a number less than 7 is 7:5.
Answer:
M
Step-by-step explanation:
M
M
M
M
M
I
L
K
A. -10
B. 10
C. 2
O D. -2
Answer:
B because when you compare y= mx+ c where M is the slope or gradient