Answer:
hufduydtuyrdfuotfuftiutfiytdytdutrdurteuyrcytidty7 vdtiduyrduyrdtrd gursugrs7trddutrs
Find the exact value pf cos 2x if sin x = - 4/5 (Quadrant III)
Answer:
[tex]\displaystyle \cos(2x)=-\frac{7}{25}[/tex]
Step-by-step explanation:
We want to find:
[tex]\displaystyle \cos(2x)\text{ given that }\sin(x)=-\frac{4}{5}[/tex]
And x is in QIII.
Recall that sine is the ratio of the opposite side to the hypotenuse.
Therefore, the adjacent side is (we can ignore the negative for now).
[tex]a=\sqrt{5^2-4^2}=\sqrt{25-16}=\sqrt{9}=3[/tex]
So, the adjacent side is 3, the opposite side is 4, and the hypotenuse is 5.
Using the double angle identity, we can rewrite:
[tex]\cos(2x)=\cos^2(x)-\sin^2(x)[/tex]
Since x is in QIII, cosine is positive, sine is negative, and tangent is negative.
Using the above values, we can conclude that:
[tex]\displaystyle \cos(x)=\frac{3}{5}\text{ and } \sin(x)=-\frac{4}{5}[/tex]
Substitute:
[tex]\displaystyle \cos(2x)=\Big(\frac{3}{5}\Big)^2-\Big(-\frac{4}{5}\Big)^2[/tex]
Evaluate:
[tex]\displaystyle \cos(2x)=\frac{9}{25}-\frac{16}{25}=-\frac{7}{25}[/tex]
Please help, it would really make my day! I’ll give branliest if it’s correct! :-)
Evaluate 4a when a=7
The value is:
Answer:
28
Step-by-step explanation:
-6(-4/7)=
I need for a math assignment please help
Answer:
The answer is 24/7
Answer:
3.428
Step-by-step explanation:
1) Ruth works a job where she gets paid $750 per week. Next year her pay will be
increasing by 12% (of what it currently is).
help
solve the equation 3y + 9 2/5 = 28. explain the steps and properties you used. :)
Answer: division properties
Step-by-step explanation:
can someone do these? i'll give brainleist to whoever does them all
What is 23x33 equal ?????
Answer:
759
Step-by-step explanation:
try cross multiplication
(Geometry)
If you were in a hot air balloon 500 m over Lady Bird Lake, at what angle of depression would you look at a point on the ground 800 m
horizontally from the balloon?
ROUND TO THE NEAREST WHOLE DEGREE
Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Area of composite. A. 157.21. B. 304. C. 506.42
Answer:
A. 157.21. is the answer
Step-by-step explanation:
I hope this helps
How can we make a quadratic function one-to-one? Write the process down below.
Answer: Quadratic Function: A function with the highest power of variable as 2.
Vertex: The lowest or highest point on the graph of a quadratic function.
Two Types of Problems: Finding quadratic function (a) given the vertex and another point; and (b) given three points.
Step-by-step explanation:
The letters P-R-O-B-A-B-I-L-I-T-Y are written on a set of cards. You mix the cards thoroughly. Without looking, you draw one letter then you draw another without replacing the first. Find the probability that you will select a P followed by a Y.
P(P, then Y) =
Answer:
P(P, then Y)=(1/11)(1/10)=1/110
Step-by-step explanation:
The number of letters in probability is 11.
There is 1 P.
The probability of drawing a P on draw 1 is the number of ways of drawing a P, which is 1, divided by the number of ways of drawing any letter, which is 11. Thus:
Probability of drawing a P on the first draw is 1/11.
There are now 10 letters left. There is 1 Y. so
Probability of drawing a Y on the second draw given that you drew a P on the first draw is 1/10.
The probability of drawing a P on the first draw and a Y on the second draw is
(probability of a P on draw 1)(probability of drawing a Y on draw 2, given a P on draw 1)
P(P, then Y)=(1/11)(1/10)=1/110
Plz help me plz fugugughfufgfhvjgu
Answer:
B is the only one i know, sorry.
Step-by-step explanation:
Hope this helped
WILL GIVE 13 PIONTS AND MARK BRAINALIST .the area of a triangle of altitude 15 m is 225 sq.m.whatbis the length of its base please show steps clearly
Answer:
30 cm
Step-by-step explanation:
Area = 225 m^2
1/2bh = 225
b×15 = 225×2
B = 225×2/15
b = 30 cm
A 100oz. bottle of Tide costs $10.57. What is the cost per ounce?
Answer:
About $0.11 per ounce i believe.
Step-by-step explanation:
just divide the price by 100.
Find the area of the polygon
Answer:
[tex] 687.5 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of polygon = Area of square + Area of triangle
[tex] = {25}^{2} + \frac{1}{2} \times 25 \times (30 - 25) \\ \\ = 625 +\frac{1}{2} \times 25 \times5 \\ \\ = 625 + \frac{1}{2} \times 125 \\ \\ = 625 + 62.5 \\ \\ = 687.5 \: {ft}^{2} [/tex]
Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence. How much of the backyard is not covered by the garden
Answer: 476m²
Step-by-step explanation:
Find the area of the triangle and then subtract it from the area of the rectangle.
Area of triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 24m²
Area of rectangle:
= Length * Width
= 25 * 20
= 500m²
Area not covered by garden:
= 500 - 24
= 476m²
Three spheres with a diameter of 6 cm just fit inside a
cylinder with the same diameter.
Calculate the volume of the cylinder that is left empty.
Use 3.14 for Pi.
Answer:
Step-by-step explanation:
Find the interest on naira 40000.00 for 2 years at 20% per annum compound interest. Please I need the answer ASAP
Given:
Principal value = 40000
Rate of compounded interest = 20%
Time = 2 years
To find:
The interest.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]
[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]
[tex]A=57600[/tex]
Now, the formula for interest is
[tex]I=A-P[/tex]
[tex]I=57600-40000[/tex]
[tex]I=17600[/tex]
Therefore, the amount of compound interest is 17,600.
Joanna, Mary, Betty, and Leah ran a race. Joanna's time was 13.03 seconds, Mary's was 13.284 seconds,
Betty's was 13.62 seconds, and Leah's was 13.9 seconds. In what order did they finish? Who won
Answer:
1st-joanna
2nd-Mary
3rd-Betty
4th-leah
Step-by-step explanation:
joanna won the race
Answer:
Joanna won followed by Leah ,then Betty and lastly Marry
An is an operation that reverses the effect of another operation.
Answer:
Inverse operation
Step-by-step explanation:
Basically it is an operation that reverses the effect of another operation.
2x - 3 > -4x + 6 whats the answer to this
Answer:
x > 3/2
Step-by-step explanation:
2x - 3 > -4x + 6
Add 4x to each side
2x+4x - 3 > -4x+4x + 6
6x-3 > 6
Add 3 to each side
6x-3+3>6+3
6x>9
Divide each side by 6
6x/6 >9/6
x > 3/2
Can anyone please give me an example of a polynomial with nine roots?
Answer:
Step-by-step explanation:
x^9 + 3x^8 +2x^7 +4=0
Hey,I'm not sure enough...i guess if the highest power is 9 then we get 9 roots..sorryvif I'm wrong:')
Which expression is equivalent to 4(5 − 3)
9 − 3
8x
20 − 12
8 + 1
For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A= x=0
B= x=12
C= x=2
please answer, will be greatful!
Answer: 160cm^3
Step-by-step explanation:
cuboid volume l*w*h
so im guessing square base l=w so 4x4=16 and height 10x16=160
Answer:
160[tex]cm^{3}[/tex]
Step-by-step explanation:
Length a : 4
width b :4
height c :10
if you drag the blue dot to the midpoint between the black dots. Where you close? What is the exact coordinate of the point ?
Answer:
(4,1)?
Step-by-step explanation:
Consider the equation x^2-x-20=0
NEED HELP ASAP!!! Will mark brainlyist
Answer:
x=−4 or x=5 This is the awnser to x^2-20=0
Meghan made $458 in her last paycheck if she would like to save at least $175 of it, how much can she spend
Answer:
283
Step-by-step explanation:
458-175=283
and you have your answer.
7)
60°
x + 83
40°
A) 7
C) -5
B) -11
D) -3
Answer:
-3
Step-by-step explanation:
Using the Triangle Sum Theorem, we can prove that m<A + m<B + m<C = 180⁰. Looking at the triangle above, it has given us two measurements. We have to find the third measurement. In order to find the third measurement we will use the Triangle Sum Theorem.
m<A + m<B + m<C = 180⁰
x + 83 + 60⁰ + 40⁰ = 180⁰
x + 183⁰ = 180⁰
x + 183⁰ - 183⁰ = 180⁰ - 183⁰
x = -3
Now plug in -3 in the x place.
x + 83
-3 + 83 = 80⁰
Let us make sure that our Triangle Sum Theorem is right.
m<A + m<B + m<C = 180⁰
80⁰ + 60⁰ + 40⁰ = 180⁰
180⁰ = 180⁰
So this makes our answer true. Hope this helps, thank you :) !!
what is the inequality -24<3(3x-2)<30
Answer:
− 2 < x < 4
Step-by-step explanation:
