Answer:
The correct option is;
a- 45° only
Step-by-step explanation:
The given equation can be presented as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]
We have that cos(2·x) = cos²(x) - sin²(x)
Also, we have, by the difference of two squares, the following relation;
cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))
Therefore, the given equation can be written as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]
Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;
[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]
From cos(x) - sin(x) = 0, we have;
Adding sin(x) to both sides of the equation
cos(x) - sin(x) + sin(x) = 0 + sin(x)
cos(x) = sin(x)
Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal
∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°
Answer:
A. 45 only
Step-by-step explanation:
EDGE 2020
Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?
Answer:
[tex]h(t) = 10 + 5t[/tex]
70 feet
Your height in 5 seconds is 35 feet
Step-by-step explanation:
From the question, we understand that:
[tex]Initial\ Height = 10[/tex]
[tex]Rate = 5[/tex] per second
Solving (a): Equation for h(t)
This implies that the height at t seconds and is calculated as thus:
[tex]h(t) = Initial\ Height + Rate * t[/tex]
Where t represents seconds
Substitute values for Initial Height and Rate
[tex]h(t) = 10 + 5* t[/tex]
[tex]h(t) = 10 + 5t[/tex]
Solving (b): Height in 12 seconds
This implies that:
[tex]t = 12[/tex]
Substitute 12 for t in [tex]h(t) = 10 + 5t[/tex]
[tex]h(12) = 10 + 5 * 12[/tex]
[tex]h(12) = 10 + 60[/tex]
[tex]h(12) = 70[/tex]
Hence, your height will be 70 feet
Solving (c): h(5) = 35 means?
Using the illustration in (b) above;
This means that your height in 5 seconds is 35 feet
Can ya help me
PLEASE EXPLAIN
Answer: D
Step-by-step explanation:
The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options
The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
What is incenter of triangle?
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.
According to the question
Point A is the incenter of triangle DEF .
Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. (X,Y,Z are points on middle of sides )
Now,
According to the properties of incenter of the triangle
1.> The circle that is inscribed in a triangle is called an incircle of a triangle.
i.e
Point A is the center of the circle that passes through points X, Y, and Z.
2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.
i.e
Line segment A X is-congruent-to line segment A Y .
3> A triangle's incenter always lies inside the triangle.
i.e
Point A is always inside triangle DEF .
Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
To know more about incenter of triangle here:
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HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid?
25 dollars times 0.02
25 dollars times 0.20
25 dollars times 1.20
25 dollars times 2.00
Answer:
B.) 25 dollars times 0.20
Step-by-step explanation:
0.20 = 20%.
Answer: Cost= 25 +0.2*25
Step-by-step explanation:
solve for x. √(x+3)=2√(x-1)
Answer:
I got 7/3
Step-by-step explanation:
Hope this helps!!
Answer:
exact form: x=7/3
decimal form: x=2.3 (repeating)
mixed number: x= 2 1/3
Step-by-step explanation:
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property? StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Answer:
All you have to do is find 20% of 25
Remember that you have to change the percent to decimal
20% = 0.2
0.2 × 25 = 5
The equation that should be used to find the number of oak trees on the property is 20% of 25.
Given that,
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees.Based on the above information, the calculation is as follows:
= 20% of 25
= 5
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Pls help 2n+8>12 ............................................................
Given:
The inequality is
[tex]2n+8>12[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]2n+8>12[/tex]
Subtract 8 from both sides.
[tex]2n+8-8>12-8[/tex]
[tex]2n>4[/tex]
Divide both sides by 2.
[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]
[tex]n>2[/tex]
It means, the value of n is greater than 2.
Therefore, the solution of given inequality is n > 2.
please fill in the blanks i need this
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please. How does place value
help me subtract decimals?
Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer
Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answer:
400. just use simple devision and it'll tell you.
Can someone help show work pls?
Answer:
569
Step-by-step explanation:
hope it will help you
(14-7×7)16
(14-49)16
(-35)16
-560
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
Which of the following statements is incorrect?
WILL GIVE BRAINLIEST ANSWER IF ITS CORRECT! HURRY HURRY :D
The table shows the cost of ordering a certain number of pizzas. What is the
value of x if the cost is proportional to the number of pizzas ordered?
Answer:
y=px
so the answer would be $49.95
pretty sure
Step-by-step explanation:
which one is 25%? please help me
So first of all you count all the blocks, so it will be 16 blocks (4x4) sideways and horizontal.
A = 16/4 marked blocks = 25%
B = 16/8 marked blocks = 50%
C = 16/6 marked blocks = ?
D = 16/10 marked blocks = 62,5%
So answer would be A
8.08 x 10^6 x 7.5 x 10-2
Answer:
=
5
2
Step-by-step explanation:
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
Given the function below, find f(7) f(x)=-x^2+9x
Answer:
14
f(x) = 7
-7^2 + 9(7)= -49 + 63 = 14
How do I find the missing sides on this special triangle?
Answer:
x = 6
y = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
Thats a 45 45 90 triangle, one of my favorite and you'll come to miss it later because of how easy it is.
See the file provided for the trick
Because [tex]3\sqrt{2}[/tex] falls where a 1 is in the diagram that means y is also [tex]3\sqrt{2}[/tex] because you multiply [tex]3\sqrt{2}[/tex] by 1, and to get x you'll multiply the value we're given, [tex]3\sqrt{2}[/tex], by the value in the spot in the given diagram, [tex]\sqrt{2}[/tex].
[tex]3\sqrt{2}[/tex] ×[tex]\sqrt{2}[/tex]
Note; a radical multiplied by itself is the value in the radical
Therefore,
[tex]3\sqrt{2}[/tex] ×[tex]\sqrt{2}[/tex] = 3(2) = 6
Thus x = 6
The explanation for this;
[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = [tex]\sqrt{2}^2[/tex]
And if you square a square root you have its square root times its square root squared, which if it was [tex]\sqrt{4}^2[/tex] it'd ultimately be [tex](2)^2[/tex] which is 2x2 which equals 4
Hope this helps
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
1/4 as a percent. Why can't I figure this out I have no idea. Please help me out here. Thank you
Answer: 25%
Step-by-step explanation:
1/4 as a percentage is 25%
Answer:
25%
Step-by-step explanation:
an easy way to figure this out is by remembering that 4 quarters make a dollar each quarter is 25 cents so 1/4=25%
hope this helps :3
if it did pls mark brainliest
The population of a municipality in the beginning of 2071 B.S. was 1,80,000 and at
the end of 2073 B.S. was 2,39,580. Find the rate of growth of population per year.
Ten less than seven times a number is twenty three.
Answer:
I believe the number is 4.7
ILL MARK U BRAINLIEST!!
Answer:
Wassup wat u need
Step-by-step explanation:
Answer:
You look hot show me more
Step-by-step explanation:
Mr. Baugh is a car salesman. He is paid a salary of $1800 per month plus $600 for each car that he sells. Find the slope and the y-intercept then write a linear equation that describes the relationship between the number of cars sold x and the monthly salary y. If Mr. Baugh sells 5 cars, how much money will he make for the month?
Answer:
he will make $4800 for that month
Step-by-step explanation:
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove
to get to the safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the
safe zone.
iiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
142meters
Evaluate the expression 2(3x-2y) when x=5 and y=2
Answer:
22
Step-by-step explanation:
2(3(5)-2(2)
2(15-4)
2(11)
2*11=22
The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answer:
2.5
Step-by-step explanation:
