Answer:
2/3.
Step-by-step explanation:
.
Answer:
Solution given:
the relationship between perpendicular and base is given by tan angle
Tan 60=opposite/Adjacent
[tex]\sqrt{3}[/tex]=x/3
x=[tex]3\sqrt{3}[/tex]
The value of x is [tex]3\sqrt{3}[/tex]
A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³
Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
plot -½ on the number line
Answer:
this would be towards the front and the very end
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Which is an exponential decay function
Answer:
Letter A is your answer
Step-by-step explanation:
mark me brainliest
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
What is the rectangular equivalence to the parametric equations?
x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
Notice that
(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9
… = sin²(θ) + cos²(θ)
… = 1
Solve for y in terms of x :
(x - 1)²/4 + (y + 2)²/9 = 1
(y + 2)²/9 = 1 - (x - 1)²/4
(y + 2)² = 9 - 9/4 (x - 1)²
y + 2 = ± √(9 - 9/4 (x - 1)²)
y + 2 = ± 3/2 √(4 - (x - 1)²)
y = -2 ± 3/2 √(4 - (x - 1)²)
In order for the square root to be defined, one needs
4 - (x - 1)² ≥ 0
(x - 1)² ≤ 4
-2 ≤ x - 1 ≤ 2
-1 ≤ x ≤ 3
so x must belong to the interval [-1, 3].
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
please help me is for my homework
Answer:
13/50
Step-by-step explanation:
Answer:
26/100
Method:
Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)
determine whether each number is rational or irrational
Answer:
1. irrational (it's pi. pi goes on forever.)
2. irrational (the ... shows that the number goes on forever.)
3. rational (it is a regular integer)
4. rational (it would be negative 3, an integer.)
5. real, irrational (square root 6 goes on forever, like every non-perfect square root)
6. real, rational, integer, natural, whole (regular counting number)
7. real, rational, integer, natural, whole (regular counting number, 4)
8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)
brainliest is very much appreciated!
l=3cm, w=1cm, h=3cm what is the surface area of the rectangular prism
Answer: 30 cm2
Step-by-step explanation:
branliest please
Answer:
30 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula:
2 (lw + hw + hl)
Substitute the fomrula with the given dimensions:
2 ([3 x 1] + [3 x 1] + [3 x 3])
= 2 (3 + 3 + 9)
= 2 (15)
= 30
Hope this helps!
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
find the measure of one exterior angle for the following regular polygon
Answer:
this is a 60 60 60 triangle, so one exterior angle is 120 degrees.
Step-by-step explanation:
hope it helps!
20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?
Answer:
40 grapesEasy explanation:
64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers in decimal.
Answer:
0.583
Step-by-step explanation:
Use a caluclator
Rewrite the expression using positive exponents
1. 1/9x^-2y^-1
2. a^-5*a^-8
Answer:
Property : a^-b = 1/a^b
Using this property, we can rewrite the expression using positive exponents :
[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]
okay can someone pls help me i literally am so confused
I attached a picture of my question. Please help me ( urgent)
ω in terms of m and k is expressed as [tex]\omega = \sqrt{\frac{k}{m} }[/tex]
The given expression is as follows;
[tex]T_s = 2\pi \sqrt{\frac{m}{k} } , \ \ \\\\ T_s = \frac{2\pi}{\omega}[/tex]
To find:
ω in terms of m and k;From the given expression above make ω the subject of the formula;
[tex]T_s = \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} } \\\\ \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} }\\\\ \frac{2\pi}{\omega} = \sqrt{4\pi^2\frac{m}{k} }\\\\square \ both \ sides \ of \ the \ equation;\\\\(\frac{2\pi}{\omega})^2 = 4\pi^2\frac{m}{k} \\\\\frac{4\pi^2}{\omega^2}= \frac{4\pi^2m}{k} \\\\\omega^2 4\pi^2m = k4\pi^2 \\\\divide \ both \ side \ by \ 4\pi ^2 \\\\\omega^2 m = k\\\\divide \ both \ sides \ by \ m\\\\\omega^2 = \frac{k}{m} \\\\[/tex]
[tex]take \ the \ square \ root \ of \ both \ sides \ of \ the \ equation\\\\\omega = \sqrt{\frac{k}{m} }[/tex]
Therefore, ω in terms of m and k is expressed as [tex]\omega = \sqrt{\frac{k}{m} }[/tex]
To learn more about subject of formula visit: https://brainly.com/question/15469690
Simplify this please
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation:
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
13. What is x in the diagram?
Answer:
x = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so
x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )
x = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex] = 6[tex]\sqrt{3}[/tex]
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenth
place.
HELP PLEASE!!!!!!
Answer:
Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7
I hope I helped you^_^
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
I also need to show calculations for each side length plz help
Answer:
WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
Step-by-step explanation:
One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.
Slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Distance formula:
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:
[tex](x,y)[/tex]
1. WO
Coordinates of point (W): (3, -5)
Coordinates of point (O): (6, -3)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]
[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]
2. OR
Coordinates of point (O): (6, -3)
Coordinates of point (R): (4, 0)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]
3. RM
Coordinates of point (R): (4, 0)
Coordinates of point (M): (1, -2)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
4. MW
Coordinates of point (M): (1, -2)
Coordinates of point (W): (3, -5)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter
Answer:
(x+2,y-4)
Step-by-step explanation:
The correct answer is (x+2, y-4)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, left, right or down.
ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
Find out more on transformation at: https://brainly.com/question/1548871
What is the value of x in the equation 3x - y = 18, when y = 27?
Answer:
Substitute in the y-value to the equation:
[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]
Therefore, the value of x is 15.
Answer:
x=15
Step-by-step explanation:
3x - y = 18
Let y= 27
3x - 27 = 18
Add 27 to each side
3x-27+27 = 18+27
3x= 45
Divide each side by 3
3x/3 = 45/3
x = 15
At an amusement park, the straight water slide is 42 m long and drops 20 m. What angle does the slide make with the horizontal?
Answer:
28.4 degrees
Step-by-step explanation:
sin(theta) = 20/42. theta=arcsin(10/21)=28.43