[tex]y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}[/tex]
solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve
Question: calculate the measure of angle JKL, i.e. mJKM+mMKL
Answer:
78°
Step-by-step explanation:
angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°. Thus
mJKM = 76/2 = 38°
angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°, Thus
mMKL = 80/2 = 40°.
Therefore angle JKL = 38°+40° = 78°.
3. Use the GCF and the Distributive Property to factor, 60a + 45.
a. 3(20a +15)
b. 5(12a +9)
с. 20(За + 2)
d. 15(4a + 3)
Answer:
D. 15(4a + 3)
Step-by-step explanation:
15 is the least possible factorisation for both sides, therefore D is the most efficient on of all of them
Using the GCF and Distributive property, the expression can be factorized as, d. 15 (4a + 3).
What is GCF?GCF is the abbreviated form for Greatest Common Factor.
As the name suggests, GCF of two or more numbers or expressions is the greatest of all the common factors of them.
The given expression is 60a + 45.
Distributive property for 3 numbers, a, b and c states that,
a (b + c) = ab + ac
There are two terms here 60a and 45.
We can find the GCF using Prime factorization.
60 = 2 × 30
= 2 × 2 × 15
= 2 × 2 × 3 × 5
45 = 3 × 15
= 3 × 3 × 5
Common factors are 3 and 5.
GCF = 3 × 5 = 15
60a + 45 = (15 × 4a) + (15 × 3)
= 15 (4a + 3) [Using the distributive property]
Hence the factorized form is 15 (4a + 3)
Learn more about GCF here :
https://brainly.com/question/18994312
#SPJ7
How do i solve this?
Which sentence is correct?A.B.C.D.
Answer: B is correct
Step-by-step explanation:
if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.
I'm not the greatest at explaining this one but hopefully, this helps!
Help with this question here please
Answer:
that is 4.6 m that the answer
What are the measures of the interior angles of the triangle?
m∠1 =
°
m∠2 =
°
m∠3 =
°
Answer:
Step-by-step explanation:
a and b are parallel lines. So, alternate interior angles are congruent.
∠2 = 64.8°
∠3 = 30.5°
Sum of all angles of triangle = 180
∠1 + ∠2 + ∠3 = 180
∠1 + 64.8 + 30.5 = 180
∠1 + 95.3 = 180
∠1 = 180 - 95.3
∠1 = 84.7°
Pls someone do this its on test
Answer:
they get a 7/24th piece of cake.
Step-by-step explanation:
if we divide 3 1/2 by 12 we get 7/24
we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.
To which family does the function y = (x 2) superscript one-half baseline 3 belong? quadratic square root exponential reciprocal
The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given below.
[tex]y = (x+2)^{1/2} + 3[/tex]
The equation can be written as
[tex]y - 3= (x+2)^{1/2}[/tex]
Square on both sides, we have
[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]
The equation is a quadratic equation.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
A) Quadratic
Explanation:
Hope you have a great day!
Which of the states in the table below has the least area?
State Population in 2020 Population Density (people/mi?) Indiana 6,785,528 186.32 Mississippi 2,961,279 61.14 Iowa 3,190,369 56.69 Arizona 7,151,502 62.74
Indiana
Mississippi
Iowa
Arizona
According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.
How to read the table?The table shows the population density of some states in which the number of people and the area of that state are mentioned.
Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.
On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.
Learn more about area in: https://brainly.com/question/11952845
Solve the following system by graphing. 5x+2y=10 4x−y=−18
Answer:
x = -2, y = 10
Step-by-step explanation:
How do we do this? The sub gave us the wrong work and isn’t explaining it! Help please!!!
Answer:
1) 18b - 3c - 10
2) [tex]1\frac{3}{4}[/tex]g + 7
3) 0.3y
4) -4n - 5
Step-by-step explanation:
1) 16b + 5c - 10 - 8c + 2b
like terms: 16b + 2b = 18b
like terms: 5c - 8c = -3c
like terms: -10
simplified: 18b - 3c - 10
____________
2) 1/2g + 2g - 3/4 g + 7
like terms: 1/2g + 2g - 3/4g
2 1/2 - 3/4
improper fraction > 5/2 > same denom > 10/4
10/4 - 3/4 = 7/4 > mixed number> 1 3/4g
like terms: +7
simplified: 1 3/4g + 7
____________
3) -0.9y + 4.4y - 3.2y
like terms: -0.9y + 4.4y - 3.2y
simplified: 0.3y
____________
4) 4 - 8n + 7n - 3n - 9
like terms: -8n + 7n - 3n = -4n
like terms: 4 - 9 = -5
simplified: -4n - 5
____________
What are the volume and the surface area of this storage chest?
Answer:
Surface Area: [tex]18ft^3[/tex]
Volume: [tex]44ft^2[/tex]
Step-by-step explanation:
Volume Formula --> base * height
[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]
Surface Area Formula --> 2(width*length + height*length + height*width)
[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]
Answer:
Volume = 18 ft³
Surface area = 44 ft²
Step-by-step explanation:
Volume
Volume of a cuboid = base length × base width × height
Given:
base length = 4.5 ftbase width = 2 ftheight = 2 ftSubstitute given values into formula:
⇒ Volume = 4.5 × 2 × 2 = 18 ft³
Surface Area
Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)
=2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)
= 8 + 18 + 18
= 44 ft²
Find the coordinates of A.
Answer:
(-4, 1)
Step-by-step explanation:
Coordinates on the plane are written (x, y), meaning you write where the point is located on the x-axis (across) and then you write where the point is located on the y-axis (up and down).
You can see that A's location on the x-axis is -4, so now we have (-4, y). We can also see that A's location on the y-axis is 1, so we have (-4, 1) as our coordinates of A.
I hope this helps! Have a lovely day!! :)
A boat is traveling at 28 knots in a direction of 36 degrees. It encounters wind moving at 10 knots in a direction of 22 degrees. What is the true velocity and direction of the boat? round to the nearest whole #
a) 38knots;58 degrees
b) 32knots;30 degrees
c) 1,427knots;58 degrees
d) 38knots;32 degrees
The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.
How to get the velocity of the boat?
First, we need to write need to find the component of the two given velocities.
For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:
x-component = (28 knots)*cos(36°) = 22.65 knotsy-component = (28 knots)*sin(36°) = 16.46 knotsFor the wind, the components are:
x-component = (10 knots)*cos(22°) = 9.27 knotsy-component = (10 knots)*sin(22°) = 3.75 knotsAdding these, the total components of the boat's velocity are:
x-comp = 22.65 knots+ 9.27 knots = 31.92 knotsy-comp = 16.46 knots + 3.75 knots = 20.21 knotsThen the magnitude of the velocity is:
|V| = √( (31.92 knots)^2 + (20.21 knots)^2) =37.78 knots
That can be rounded to 38 knots
To get the angle, we take the arctangent of the quotient between the y-component and the x-component:
a = Atan(20.21 knots/31.92 knots) = 32.34°
Then the correct option is d) 38 knots and 32°
If you want to learn more about velocity, you can read:
https://brainly.com/question/4931057
Answer:
It is 38 knots; 32 degrees
Step-by-step explanation:
The answer below is right
I took the test
A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week.
How many weeks will it take for all of the chemical to evaporate?
Use 3.14 to approximate pi.
Enter your answer in the box.
____ weeks
Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5
Answer:
{- 4, - 3, -2, -1, 0, 1, 2, 3}Step-by-step explanation:
Solve each inequality in the system:
3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 55a < 17 ⇒ a < 17/5 ⇒ a < 3.4The solution is:
- 5 < a < 3.4The integer solution set is:
{- 4, - 3, -2, -1, 0, 1, 2, 3}[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]
[tex]\\ \rm\rightarrowtail -2a<10[/tex]
[tex]\\ \rm\rightarrowtail -a<5[/tex]
[tex]\\ \rm\rightarrowtail a>-5[/tex]
And
[tex]\\ \rm\rightarrowtail 5a<17[/tex]
[tex]\\ \rm\rightarrowtail a<17/5[/tex]
[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]
So
solution set
[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]
So
a={-4,-3,-2,-1,0,1,2,3}-3 x 7 -:- 5 x 1/7
please show the steps :)
is the sign that you mean ÷ ?
if so:
-3×7÷5×1/7
= -21÷5×1/7
=-21/5 × 1/7
= (-21×1) / (5×7)
= -21/35
=-3/5
=-0.6
write an inequality that means 2 times a number (d) plus 3 is less than or equal to 9.
Answer: 2d+3<=9
Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=
What is the area of this rectangle?
Answer:
39
Step-by-step explanation:
You find the area by multiplying the length times the height which is what I did 13 x 3 = 39
Show all steps when completing the square to solve 2x^{2} - 4x - 5 = 25.
Answer:
x = 5,-3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
See attachments
Step-by-step explanation:
Hope this helps! (I hope you can open them)
15. A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000 feet. How far apart are the take off point and the water tower?
The required distance between the take-off point and the water tower is 1980.1 feet.
Given that,
A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take-off point of 2000 feet.
To determine how far apart are the take-off point and the water tower.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Now,
The distance flying over inclination is 2000 feet at an angle of 8° with horizontal.
Now,
Required horizontal distance = 2000 * cos 8°
= 1980.1 feet.
Thus, the required distance between the take-off point and the water tower is 1980.1 feet.
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ2
If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?
in the figure triangle XYZ is similar to triangle XTU if XT measures 12cm what is the length of TY
Answer:
20
Step-by-step explanation:
It is stated that the triangles in the figure are similar:
We can use the side lengths' proportions to find the length of TY
UT/ZY = XT/TY
(9.6)/16 = 12/TY cross multiply expressions:
192 = (9.6)TY divide both sides by 9.6
20 = TY
According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2.
Answer:
i did this on study island
Step-by-step explanation:
. It took Erin the same time to drive 21 miles as it took Brent to drive 15 miles. Erin's speed was 10 mph
faster than Brent's speed. How fast did Erin drive?
The speed at which Erin drove from the given parameters was calculated as; 35 mph
How to work with speed rates?
Let Erin's speed rate be X. Now, since it took erin 21 miles, then;
Erin's time = 21/X
Now, erin's speed was 10 mph faster than Brent's speed. Thus;
Brent's speed = (X - 10) mph
Thus, Brents time = 15/(x - 10)
Now, since they took the same time, then we know that;
21/x = 15/(x - 10)
15x = 21x - 210
6x = 210
x = 210/6
x = 35
Thus, Erins speed = 35 mph
Read more about rates at; https://brainly.com/question/12242745
The table shows the atomic radii of four elements.
Element Atomic Radii (m)
Potassium 2.2 × 10-7
Argon 7.1 × 10-8
Boron 8.5 × 10-8
Silver 1.6 × 10-7
Which list shows the atomic radii of the elements ordered from greatest to least?
[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]
[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]
[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]
[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]
greatest to least :
Potassium < Silver < Boron < ArgonThe order is
Potassium>Silver>Boron>ArgonShortcut trick :-
The nature of atomic radii in. periodic table
Decrease in a period from left to right.Increase in a group from up to downJules draws the incenter of ABC. Which term describes the three segments Jules draws inside the triangle?
a.medians
b.angel bisector
c.altitudes
d.perpendicular bisectors
Answer:
b) angle bisector of angle ABC
Find the measure of the three missing angles in the rhombus below.
Answer:
Angles x and y measure 115°. Angle Z measures 65°.
Step-by-step explanation:
Since a rhombus is a parallelogram, opposite angles are congruent, and consecutive angles are supplementary.
The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The adjecent angle of the rhombus is supplementary. Then the value of 'x' is given as,
65° + ∠x = 180°
∠x = 180° - 65°
∠x = 115°
The opposite angle of the rhombus is congruent to each other.
∠y = ∠x
∠y = 115°
∠z = 65°
The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
There are two mystery numbers. The sum of 10 times the first number and 5 times the second number is -15. The sum of 6 times the first number and 2 times the second number is -10. What are the two numbers? please explain
Answer:
-2 and 1
Step-by-step explanation:
The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.
__
Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...
10x +5y = -15
The second relation tells us ...
6x +2y = -10
We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:
2x +y = -33x +y = -5__
We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:
(3x +y) -(2x +y) = (-5) -(-3)
x = -2 . . . . . . . . . . simplify
2(-2) +y = -3 . . . . substitute for y
y = 1 . . . . . . . . . . add 4
The two numbers are -2 and 1.
help it is for calculus
Answer:
I think 2(x^2−y^2)=3x
Answer:
Its 2(x^2-y^2)=3x
