Answer:
5π/6
Step-by-step explanation:
Given :
cos⁻¹ (cos7π/6)Solving :
We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!Answer:
5π Over 6
Step-by-step explanation:
You can write 7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6
solve pls brainliest
Answer:
[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]
Step-by-step explanation:
When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
find the ratio of 6:789 now!
Answer:
2:263
Step-by-step explanation:
6:789
Let's try simplying it completely, by that I means, divide both of the values by 6.
6:789
1:131.5
We need it to be a whole number, so it's not working. We can't divide by 2, because dividing 789 by 2 is not gonna give us a whole number. (an odd number)
Let's divide by 3
6:789
2:263
PLEASE HELP!! Need by 3/29/22!
Find the area of these shapes
Answer:
Step-by-step explanation:
area of A=15*18=270 cm^2
area of B=15*18=270 cm^2
area of C=1/2 ×x×18=9x cm²
area of D=1/2×15×18=135 cm²
What other properties of a kite am I missing?
Answer:
all angles are congruent
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How long would it take a giant tortoise to travel 5 meters?
Answer:
50 seconds
Step-by-step explanation:
because 5÷0.1=50 50×1sec=50 seconds
Is my answer correct?
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
(I don't really know how to explain it though.)
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.
Answer:
ac is parallel to df because it doesn't intersect with each other
Find the value of x for which allb
A. 35
B. 145
C. 140
D. 47
Answer:
A. 35
Step-by-step explanation:
a || b .....(given)
line c is their transversal.
-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)
-> (3x + 40 + x)° = 180°
-> (4x + 40)° = 180°
-> 4x + 40 = 180
-> 4x = 180 - 40
-> 4x = 140
-> x = 140/4
-> x = 35
Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90?
Answer:
the answer is 93
Step-by-step explanation:
mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean
so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)
mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93
I need help with Function Operations
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
When factored completely, z2 - 9 equals?
Let's see
[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]
[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]
(a+b)(a-b)=a^2-b^2[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]
Answer:
(z+3)(z-3)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b) where a = z and b= 3
please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
What is the least common multiple? 48, 10
Answer:
240
Step-by-step explanation:
a)0.76×0.004
b)0.078÷0.5
c)0.834+0.79
d)0.0034-0.0078
FGH and PQR are vertical angles. If FGH is 29 what is the measure of PQR?
< PGR = 61°
Step-by-step explanation:[tex]< FG4\ and\ < PQR\ are\ vortical\ angles.[/tex]
[tex]< FG4=29[/tex]°
[tex]< PQR=90\ - < FG4[/tex]
[tex]=90\ -29[/tex]°
[tex]=61[/tex]°
I hope this helps you
:)
If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays
Answer:
parallel
Step-by-step explanation:
If the distance between two lines never changes, they are parallel lines.
Answer:
parallel
Step-by-step explanation:
parallel lines never have a distance change between them
Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?
Answer:
distance in 3 hours = 150 miles
distance in 1 hour = 150/3 = 50 miles
distance in 9 hours = 50 × 9 = 450 miles
Answer:
Sammy's dad traveled 450 miles in 9 hours.
Step-by-step explanation:
mph = [tex]\frac{Miles}{Hours}[/tex]
Miles = 150
Hours = 3
Plug into the formula of distance/time
[tex]\frac{150}{3} = 50mph[/tex]
Sammy's dad is driving at 50mph
In three hours you can use this formula: [tex]50mph=\frac{miles}{9}[/tex]
Multiply both sides by 9: [tex]50mph * 9 =\frac{miles}{9} *9[/tex]
Solve:
[tex]50mph * 9 =miles[/tex]
[tex]450 =miles[/tex]
Sammy's dad traveled 450 miles in 9 hours.
Hope this helped! :)
if 45% of an item is 72.00 what is the original price. someone help me
Answer:
45% x 72.00 = 32.4
Step-by-step explanation:
hope this helped :)
Answer:
If 45% of an item is 72.00 what is the original price is, $160.00
Step-by-step explanation:
PLEASE HELP
Two archers are shooting arrows at different targets. First archer's possibility of hitting the target is 0,6. Second archer’ possibility of hitting the target is 0,5. What is the possibility that at least one of them will hit the target.
Answer:
0.8
Step-by-step explanation:
Check the attachment.
if the circumference of a circle is 4πrcm, find diameter
Answer:
1.274cm
Step-by-step explanation:
Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=[tex]\frac{4}{3}\pi r^3[/tex]
Answer:
670.21 inches^3
Step-by-step explanation:
To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:
V = 33.51032
Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.
V = 20 * 33.51032
V = 670.2064
If you round to 2 decimal places, this becomes 670.21.
Find the value of x and y
Answer:
x=120
y=60
Step-by-step explanation:
i) y=60 [ corresponding angles]
ii) x + 60 = 180 [linear pair]
or, x = 180- 60
therefore, x is equal to 120
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-
Answer:
5/6, or about 0.833
Step-by-step explanation:
For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.
PLEASE HELP !
The radius of circle L is 22cm what is the lenght of its diameter ? A. 88cm B. 44 cm C. 22cm D. 11cm
Answer:
B. 44cm
Step-by-step explanation:
d(diameter) = 2r (radius)
d = 2 X 22 cm
d = 44 cm
HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
Answer:
A
Step-by-step explanation:
From inspection of the graph:
a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]
[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]
[tex]\dfrac{d}{c}=\dfrac42=2[/tex]
[tex]ab=3 \cdot 6 = 18[/tex]
[tex]cd=2 \cdot 4 = 8[/tex]
[tex]a+b=3+6=9[/tex]
[tex]c+d=2+4=6[/tex]
Therefore, the only expressions that are equal are:
[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]
What are the solution(s) for the quadratic equation?
f(x)=x^2+12x+36
Please show work!
Let's see
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail x=-6[/tex]