Answer:
DK = 10.23 units (approx)
Step-by-step explanation:
(DK * (CK + KE))/2 = 29
DK * CK = 29
180 - 31 = 149
149/2 = 74.5 --> degree of other angles
tan 74.5 = DK/CK
CK * tan 74.5 = DK
CK * CK * tan 74.5 = 29
CK = 2.83591462
2.83591462 * tan 74.5 = DK
DK = 10.22597776
So DK is approximately 10.23 units.
Hope this helps!
14. 14. If f(x)= sec^2x, thenf'(x)=
Answer:
1 (2) f(x) = 1 (3) 1< f(x) < 2 (4) f(x) greater than or equal to 2
Step-by-step explanation:
We know AM ≥ GM
(cos2x+sec2x )/2 ≥ √(cos2x sec2x)
(cos2x+sec2x ) ≥ 2√(cos2x (1/cos2x)
f(x) ≥ 2
Hence option (4) is the answer.
Suppose that you are thinking about buying a car and have narrowed down your choices to two options.
The new-car option: The new car costs $25,000 and can be financed with a four-year loan at 6.12%.
The used-car option: A three-year old model of the same car costs $17,000 and can be financed with a three-year loan at 7.72%.
=||)
[1-(2-4) 11
What is the difference in monthly payments between financing the new car and financing the used car? Use PMT
The difference in monthly payments between financing the new car and financing the used car is $
(Round to the nearest cent as needed.)
Answer:
sjsjsuduhr r ki snsbtsuwi 3 38yv4r djvs
Which graph represents the solution of x2 + y2 < 25 and y2 <6x?
Answer:
The center of the circle is found at h,k
These values represent the important values for graphing and analyzing a circle.
Center: 0,0
And also,
Algebra Graph x^2+y^2=25 x2 + y2 = 25 x 2 + y 2 = 25 This is the form of a circle.
And also,
Simple and best practice solution for X2+y2=25 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. If it's not what You are looking for type in the equation solver your own equation and let us solve it.
And also,
Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset from the origin, and k k represents the y-offset from origin. The center of the circle is found at (h,k) ( h, k).
And also,
Ox (0) 6°x= 1) 6x ** + y = 25 SOLUTION (a) Since f(x) = 25 - x2 0, we can interpret this integral as the area under the curve y = 25 - x2 from 0 to 5 . But since y2 = 25 - x2 , we get x2 + y2 = 25, which shows that the graph of fis a quarter-circle with radius 5 in the top figuer
And also,
(3x2y2)3 Final result : 32x2y2 Reformatting the input : Changes made to your input should not affect the solution: (1): "y2" was replaced by "y^2".
And thats all!
Solution graph is image 2.
We first graph [tex]x^2+y^2=25[/tex]. This is a circle with center = (0,0) and radius = [tex]\sqrt{25} =5[/tex].
For [tex]x^2+y^2<25[/tex], we'll shade inside the circle.
[tex]y^2=6x[/tex] is a parabola.
we make a table for it.
x -1 0 1
y -6 0 6
For [tex]y^2<6x[/tex] we'll shade inside the parabola.
So the graph will be image 1.
So the solution region is image 2.
Learn more: https://brainly.com/question/15816805
suppose △abc≅△xyz. what is the corresponding congruent part for each segment or angle?
Answer:
See below
Step-by-step explanation:
Hi there!
We're given that ΔABC≅ΔXYZ
When two triangles are congruent, their corresponding parts are congruent
Because of that, it means vertex A in ΔABC is congruent to vertex X in ΔXYZ, vertex B is congruent to vertex Y, and vertex C is congruent to vertex Z
Since we don't have a picture of the triangles given, we can use the names of the triangles to find the corresponding parts
so, to find the corresponding congruent angle to <BCA:
B is the first letter in the angle, and the corresponding letter in ΔXYZ is Y.
C is the second letter in the angle, and the corresponding letter is Z.
A is the last letter in the angle, and the corresponding letter is X
so that means <YZX is congruent to <BCA
now let's do the same for <ZYX
Z is the first letter in the angle, and the corresponding letter that's in the same place in ΔABC is C
Y is the second letter in the angle, and the corresponding letter is B
X is the last letter in the angle, and the corresponding letter is A
So that means <CBA is congruent to <ZYX
Now to find corresponding sides:
We can still use the names of the triangles, ΔABC and ΔXYZ
so to find the corresponding side to AB,
in ΔABC, AB makes up the first and second letter of the name of the triangle
The corresponding side must also make up the first and second letter of the name of the triangle
in ΔXYZ, the letters X and Y make up the first and second letter
so that means XY must be corresponding to AB
finally,
we need to find the segment congruent to YZ
in ΔXYZ, YZ makes up the second and third letter of the name of the triangle
the corresponding side must also make up the second and third letter of the name of the triangle
in ΔABC, the letters B and C make up the second and third letter in the triangle
So that means BC must be congruent to YZ
Hope this helps!
PLEASE HELP :) I will give all points
answer choice a
x^2 - 5x - 1 = 0
a=1, b=-5, and c=-1
next you plug in the numbers into the quadratic formula
-(-5) plus or minus the square root of (-5)^2 - 4(1)(-1)/ 2(1)
after you simply, you should get 5 plus or minus the square root of 29, which is answer choice a
Determine the volume of this object
1) 113 mm
2) 226.1 mm
3) 339.1 mm
4) 450 mm
Answer:
I think it would be 450 mm.
The denominator of a fraction is three more than twice the numerator. if both numerator and denominator are degreased by seven, the simplified result is 4/13
orgnal fraction. (Don't simplify.)
Answer:
2/7
Step-by-step explanation:
d=2n+3
[tex]\frac{d-7}{2n-4} = \frac{4}{13}[/tex]
13(2n+3) -91 =8n - 16
26n+39 -91 = 8n-16
18n=36
n=2
d=7
The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?
Answer:
Our fourth number is 52.
Step-by-step explanation:
Let our first even number be x.
Then the second even number must be (x + 2), the third (x + 4), fourth (x + 6), and the fifth (x + 8).
They sum to 250. Hence:
[tex]x+(x+2)+(x+4)+(x+6)+(x+8)=250[/tex]
Solve for x. Combine like terms:
[tex]5x+20=250[/tex]
Subtract 20 from both sides:
[tex]5x=230[/tex]
And divide both sides by five. Hence:
[tex]x=46[/tex]
Thus, our sequence is 46, 48, 50, 52, and 54.
Hence, our fourth number is 52.
A rectangular prism is 3 feet long, 4 feet wide, and 4 feet high. What is it's surface area?
Answer:
80 ft
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A = 2({4x3} + {4x3} + {4x4})
A = 2 (12 + 12 + 16)
A= 2 ( 40)
A = 80 feet
In orders an ice cream cone filled to the top with ice cream, with 1 perfectly round scoop of ice cream on top. The cone and the scoop of ice cream both have a radius of 1.8 inches, and the height of the cone is 4.5 inches. What is the total volume of ice cream ian receives?
A. 24.4
B. 39.7
C. 3.4
D. 15.3
Answer:
39.7
Step-by-step explanation:
Helppp and explain than you
Answer:
1) x = 2
Step-by-step explanation:
Hope it helps. I'll try to solve the second one too
9514 1404 393
Answer:
x = 2(-5, 4, 6)Step-by-step explanation:
1. Substitution can work for this.
2x +3(4x -5) = 13
14x = 28 . . . . . add 15
x = 2 . . . . . . . divide by 14
__
2. The equation z=6 eliminates all but the 1st and 3rd choices. Using that value in the first equation gives ...
x + y + 6 = 5
x + y = -1
Only the 3rd choice satisfies this equation.
(x, y, z) = (-5, 4, 6)
Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
Answer: hello your question is incomplete attached below is the complete question
answer :
a) [tex]\int\limits^3_0 {(10-x)-(x+4)} \, dx[/tex] ( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
a) Using integration with respect to x
Area = [tex]\int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy[/tex] ( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D
[tex]\int\limits^3_0 {(10-x)-(x+4)} \, dx[/tex]
= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
b) Using Geometry
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
1,620 to the nearest ten ? Please don't answer if you know your wrong !
Answer:
I will say 2,000 yes so that is what I am putting
What is the inverse of function f? f(x)=10/9+11
Answer:
Option D is answer.
Step-by-step explanation:
Hey there!
Given;
f(x) = 10/9 X + 11
Let f(X) be "y".
y = (10/9) X + 11
Interchange "X" and "y".
x = (10/9) y + 11
or, 9x = 10y + 99
or, y = (9x-99)/10
Therefore, f'(X) = (9x-99)/10.
Hope it helps!
The lengths of the sides of a triangle are 3, 3, 3V2. Can the triangle be a right triangle?
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
The lengths of the sides of a triangle are 3, 3, 3√2. Can the triangle be a right triangle?
[tex]\bold{ \red{\star{\blue{TO \: \: PROVE }}}}[/tex]
IF ITS A RIGHT ANGLED OR NOT
[tex]\bold{\blue{\star{\red{FORMULA}}}}[/tex]
IF IT WILL FOLLOW PYTHAGORAS THEOREM THEN IT WILL BE A RIGHT ANGLE TRIANGLE.
[tex]{HYPOTENUSE}^{2} \\ ={ PERPENDICULAR}^{2}+{BASE}^{2} [/tex]
[tex]\bold{ \red{\star{\orange{GIVEN }}}}[/tex]
1ST SIDE -> 3
2ND SIDE -> 3
3RD SIDE ->3√2
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex]{HYPOTENUSE}^{2}\\ ={ PERPENDICULAR}^{2}+{BASE}^{2} \\{h}^{2}={p}^{2}+{b}^{2} [/tex]
AS HYPOTENUSE is always greater than other 2 sides so 3√2 can only be hypotenuse if it's a right angle triangle
[tex]{(3 \sqrt{2})}^{2} = {3}^{2} + {3}^{2} \\ 9 \times2 = 9 + 9 \\ 18 = 18[/tex]
[tex] {\red{\star}}{ \blue{HENCE \: PROVED}} { \red{ \star}}[/tex]
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
To test for the significance of a regression model involving 3 independent variables and 51 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are _____.
Answer:
numerator degree of freedom = 3
Denominator degree of freedom = 47
Step-by-step explanation:
The numerator degree of freedom is given by :
p - 1 ; where p = number of predictors ;
p = number of independent variables + 1
Number of independent variables = 3
p = 3 + 1 = 4
Numerator degree of freedom = p - 1 = 4 - 1 = 3
The denominator degree of freedom = n - p ; where n = number of observations
Number of observations, n = 51
Denominator degree of freedom = n - p = 51 - 4 = 47
g Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.
Answer:
[tex]4\log_bx - \log_by = \log(\frac{x^4}{y})[/tex]
Step-by-step explanation:
Given
[tex]4\log_bx - \log_by[/tex]
Required
Express as a single expression
Using power rule of logarithm, we have:
[tex]n\log m = \log m^n[/tex]
So, we have:
[tex]4\log_bx - \log_by = \log_bx^4 - \log_by[/tex]
Apply quotient rule of logarithm
[tex]4\log_bx - \log_by = \log(\frac{x^4}{y})[/tex]
About 6% of the population has a particular genetic mutation. 100 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 100.
Answer:
The standard deviation for the number of people with the genetic mutation in such groups of 100=[tex]2.375[/tex]
Step-by-step explanation:-
We are given that
Total number of selected people, n=100
p=6%=0.06
We have to find the standard deviation for the number of people with the genetic mutation in such groups of 100.
Let X denote the number of people with the genetic mutation in such groups of 100.
[tex]\implies X\sim Bin(n=100,p=0.06)[/tex]
We know that
Standard deviation
=[tex]\sqrt{np(1-p)}[/tex]
Using the formula
Standard deviation
=[tex]\sqrt{100\times 0.06(1-0.06)}[/tex]
=[tex]\sqrt{6(0.94)}[/tex]
=[tex]2.375[/tex]
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 100=[tex]2.375[/tex]
Kaitlin is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below.
How far does Kaitlin travel per revolution?
What is the slope of the graph?
Answer:
m = Δy/Δx = 4/32 = 1/8
8 ft/rev.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex] for both
Step-by-step explanation:
1. Distance per revolutionWe see that the distance travelled at 2 revolutions is 16
This means that she travels [tex]\frac{1}{8}[/tex] of a mile per revolution
2. Slope
The slope formula is rise/run, or ([tex]y[/tex]₂[tex]-y[/tex]₁)/([tex]x[/tex]₂[tex]-x[/tex]₁)
We can take two points, (16,2) and (32,4)
[tex]\frac{4-2}{32-16}=\frac{2}{16}=\frac{1}{8}[/tex]
The slope is [tex]\frac{1}{8}[/tex]
Hope this helps! Please mark brainliest :)
Which angle is an alternate exterior angle to 28?
3
0 23
0 24
2
3
4
* 25
t
8
5
7 6
026
Dong
9514 1404 393
Answer:
∠4
Step-by-step explanation:
"Alternate" means the angle is on the other side of the transversal t. "Exterior" means it is on the outside of line e crossing the transversal. The alternate exterior angle to angle 8 is angle 4.
I WILL MARK THE ANSWER AS BRAINLIEST BE CORRECT BEFORE YOU ANSWER PLEASE
LOOK AT THE PROBLEM
Answer:
yes I look this problem in this figure
3 coins are flipped.
Answer:
just keep writing down outcome on a sheet of paper then count total
Step-by-step explanation:
Which statement is true?
A. All parallelograms are rectangles.
B. All parallelograms are quadrilaterals.
C. All quadrilaterals are parallelograms.
D. All rectangles are squares.
Answer:
A parallelograms are rectangles
Answer:
B.All parallelograms are quadrilaterals.
Step-by-step explanation:
A. Not all parallelograms are rectangles but all rectangles are parallelograms
C. Not all quadrilaterals are parallograms, for example the trapizoid isnt a parallogram but it is a rectangle
D. Not all rectangles are squares because they don't all have 4 equal side lengths. But all squares are rectangles
2 (m+n) +m=9
3m-3n = 24
Answer:
m=5
n=-3
Step-by-step explanation:
3m+2m=9
3m-3n=24
3(5)+2(-3)=9
15-6=9 correct
On dividing 12x³ by 4x the quotient is …..
Answer:
12x^3 is equivalent to
12x*12x*12x which if we multiply is
1728x
we divide by 4x
1728x divided by 4x=432x
Hope This Helps!!!
Answer:
3x^2
Step-by-step explanation:
when u divide 12x^3/4x....u divide 12/4=3 along with the x also..tat is x^3/x=x^2
Find the distance between the two points in simplest radical form. (8,−8) and (−1,−5)
Answer:
Solution given:
[tex]x_{1},y_{1}=(8,-8)[/tex]
[tex]x_{2},y_{2}=(-1,-5)[/tex]
Now
Distance between them is:
d=[tex]\sqrt{(x_{2}-x_{1})²+(y_{2}-y_{1})²}[/tex]
d=[tex]\sqrt{(-1-8)²+(-5+8)²}=3\sqrt{10}[/tex]
Distance between them is [tex]\bold{3\sqrt{10}}[/tex]
The length of a rectangle is 6 meters more than its width. The area of the rectangle is 114 square meters. Which of the following quadratic equations represents the area of the rectangle? Suppose x is the width of the rectangle. x 2-6x - 114 = 0
A) x^2-6x-114=0
B) x^2-6x+114=0
C) x^2+6x+114=0
D) x^2+6x-114=0
Answer:
last one
Step-by-step explanation:
x = width
x+6 = length
Area = length times width
x(x + 6) = [tex]x^{2}[/tex] + 6x
[tex]x^{2}[/tex] + 6x = 114 (subtract 114 from both sides)
[tex]x^{2}[/tex] + 6x -114 = 0
HELP PLSSSS I will GIVE BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
4ab-3a+3bx-2ab anyone know the answer to this problem?
Answer:
-3a+3bx+2ab
Step-by-step explanation:
Question is in picture below
Answer:
The obove picture the rule is SSA
