Answer:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
Step-by-step explanation:
Simplify the left hand side:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:
sin^2x + cos^2x = 1
cos^2x = 1 - sin^2x
Lastly, write it out:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
What is the value of d?
A.100 B.84 C.50 D.80
Answer:
A. 100
Step-by-step explanation:
84
Step-by-step explanation:
c + 100 =180
c=180-100
c=80
100+96+d+c=360
100+96+d+80=360
276+d=360
d=360-276
d=84
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
If the volume of a sphere is 36t cubic units, what is the radius?
Answer:
Volume of sphere = 4/3 * π * r³
Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.
Step-by-step explanation:
work out the area of a circle with a diameter of 1.8
Cual de las siguientes fracciones es equivalente a 6/18
1/3
2/3
3/18
3/6
Answer:
the answer is going to be 1/3
According to Class 8 please solve
Answer:
a) Rs 22
b) 4 liter
hope it helps
Answer:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
Step-by-step explanation:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
11/2 litre = 5.5 litre
RS 121/2 = 60.5
5.5 litre milk = Rs 60.5
(i) 1 lire milk = 60.5/5.5 = 11
(i) 1 litre milk rate is Rs 11
(ii) 1 litre = Rs 11 , Rs 88 = 88/11 litre , 8 litre
(i) part answer = Rs 11
(ii) part Answer = 8 litre milk
An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false
Answer:
a
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Because the ops are always trying to oppose things, so you show them why they're wrong.
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
How do you get 24 with the numbers 6, 5, 4 and 8
Step-by-step explanation:
hoped this will help you
if that's help you plz vote me or mask as brinalist
Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?
Answer:
The answer is <AQS = BQS when AS=BQ and AQ=BQ
Step-by-step explanation:
HELP!!!! THANK YOU ...........
Answer:
Using trigonometric ratio
sin(0)=opposite/hypotenise
sin(A)=BC/BA
sin(A)= 6/7
A=arcsin(6/7)
A=58.997°
A=59.00°
----------------------
Hope it helps...
Have a great day!!!
what is the solution to 4 1/5 x (1 1/9 x 3)
Answer:
14
Step-by-step explanation:
[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]
Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
question 3 help pls in algebra
Answer:
50
Step-by-step explanation:
simplify the radical by breaking the redicand up into a product of known factors, assuming positive real numbers.
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
please answer i will give u brainless PLZZZZZZ
Answer:
96 green pens
Step-by-step explanation:
Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4
Green = 4*24=96
Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?
Given:
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].
To find:
The amount paid by each boy.
Solution:
We have,
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:
[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]
John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:
[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]
Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.
x + y = 15
5x - y = 9
Elimination method
(4, ? )
what number is the ?
Please help me!
Look at this diagram.
Answer:
if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree
Step-by-step explanation:
for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree
Answer:
[tex]x=13\text{ and } y=5[/tex]
Step-by-step explanation:
First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:
[tex]m\angle BCD + m\angle DCE = 180[/tex]
And since we know that ∠BCD measures 130°:
[tex]m\angle DCE = 180-130=50^\circ[/tex]
And since ∠DCE and ∠BCA are vertical angles:
[tex]\displaystyle \angle DCE \cong \angle BCA[/tex]
Therefore, by definition:
[tex]m\angle DCE = m\angle BCA = 50^\circ[/tex]
Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:
[tex]m\angle A = m\angle B[/tex]
The interior angles of a triangle must total 180°. So:
[tex]m\angle A + m\angle B +m\angle BCA = 180[/tex]
Substitute in known values:
[tex]m\angle A + m\angle A+ (50)=180[/tex]
Simplify:
[tex]2m\angle A=130[/tex]
Divide both sides by two:
[tex]m\angle A = 65[/tex]
Substitute:
[tex](5x)=65[/tex]
Therefore:
[tex]x=13[/tex]
Similarly, for the triangle on the right, we can write that:
[tex]m\angle D + m\angle E + m\angle DCE = 180[/tex]
Substitute:
[tex](10y+5)+(6x-3)+(50)=180[/tex]
Combine like terms:
[tex]10y+6x+52=180[/tex]
Since we determined that x = 13:
[tex]10y+6(13)+52=180[/tex]
Simplify:
[tex]10y+130=180[/tex]
Therefore:
[tex]10y=50[/tex]
And by dividing both sides by 10:
[tex]y=5[/tex]
Figure A is a scale image of Figure B. What is the value of x?
khan academy
Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
what is the solution to -6 - -25=
Answer:
19
Step-by-step explanation:
(-6)-(-25)=(-6) +25 = 19
How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge
Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.
Hello,
[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]
[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]
In the triangle ABC,
[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]
[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]
In the triangle ACB,
[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]
[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
Describe fully the transformation that maps triangle a onto triangle B
Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
Learn more about Reflection click;
https://brainly.com/question/15487308
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A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?
Answer:
2/12
Step-by-step explanation:
The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation: