Answers
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]
Related Questions
Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.
Answers
Answer:
x = 17.1°
Step-by-step explanation:
tan x = 4/13 = 0.3077
x = 17.1°
The measure of the angle θ from the given triangle is 17.9°.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, AC=13 and BC=4 units.
We know that, sinθ=Opposite/Hypotenuse
sinθ= 4/13
sinθ= 0.3076
θ=17.9°
Therefore, the measure of the angle θ from the given triangle is 17.9°.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
Penny says that the expression
8(3x - 2) is equivalent to the expression
11x - 10. Is Penny correct?
Answers
last year, a dvd store sold 670 actions dvds, 580 comedy dvds, 450 drama dvds, and 300 horror dvds. if a media buyer expects to sell 5000 dvds this year, based on these results predict how many comedy dvds she should buy
Answers
Answer:
c
Step-by-step explanation:
Mr. Green used a wood chipper to produce 640 pounds of mulch for his yard. What is the weight, in ounces, for the mulch which he produced? *
Answers
Answer:
Answer: 10240
Step-by-step explanation:
640 x 16 = 10240
1 Pound = 16 Ounces
Someone please help me
Answers
Answer: first would be 6 the next would be 12 then the next would be 18 and so on just add 6 for each one and for ten pizzas it would be 6*10 and that equals 60 im sure you get it
plot - 0.6 on the virtual number line
Answers
Answer:
on the second line below zero
Step-by-step explanation:
It’s a negative 0.6 right?
Answer:
-0.6 would be the third line down
Step-by-step explanation:
If you're counting down from 0 go by -0.2
-0.2
-0.4
-0.6
Linda has $26. She wants to buy a ski pass for $80. She can earn $6 per hour to babysit.
PLEASE ANSWER THIS FOR ME PLEASEEEE I BEGG U PLEASEE
Answers
Answer:
the top answer or A. if it was labeled
Step-by-step explanation:
because my guy it is simple math
i need the top one plzzzz thankkk uuuu
Answers
b+g=708
15b+10g=8640
Answers
Answer:
b=312
g=396
you can use substitution or elimination
Step-by-step explanation:
(b+g=708)10
(15b+10g=8640)1
(10b+10g=7080)-
(15b+10g=8640)
10b-15b=-1560
-5b=-1560
divide both sides by -5
b=312
then substitute
b+g=708
312+g=708
g=708-312
g=396
so b=312
g=396
find the difference between the square of 15 and and the square of 5
Answers
Find the length of KM. Helpppppppppp
Answers
Answer:
21
Step-by-step explanation:
KL = 12
LM = 9
12 + 9 = 21
KM = 21
the angle of depression of top of a pole of
Answers
Answer:
Didn't finish sorry. I wish I could help.
please help and hurry please
Answers
Answer:
4 quarts = 1 gallon
Step-by-step explanation:
Hope that hleps
1 quart = 1/4 gallon
Multiply the number of quarts by 4 to find the number of gallons.
An extended family is trying to plan a reunion and needs to find out where everyone would like to attend. Jill decides to send an e-mail to one person from each of the different families to get their opinion. She then follows up with those that she doesn't hear from. Is this a good way to collect data?
Answers
Answer:
I don't think so. Because what if that specific family member never checks their email. I think a good way would have been to email more than one or every person in that family (now since its extended you might not know everyone so just as many as you know of)
I need to solve these problems.
Answers
7)regular
8)720
9)360
10)153.3
Answer:
a,a,d
Step-by-step explanation:
the formula has been given
A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of 50 feet per second.
s(t)= -4t2 + 50t - 84. Show work to get credit
a. What is the maximum height reached by the rocket?
b. What time will it reach the maximum height?
c. You forgot to put the parachute in the rocket. When will the rocket hit the ground?
Answers
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
Solve the question in the picture below.
Answers
James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and b is 6. The product of a and c is -4. The product of b and c is -6.
Answers
Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
[tex]ab=6[/tex] ...(i)
[tex]ac=-4[/tex] ...(ii)
[tex]bc=-6[/tex] ...(iii)
From (ii), we get
[tex]a=-\dfrsc{4}{c}[/tex] ...(iv)
From (iii), we get
[tex]b=-\dfrsc{6}{c}[/tex] ...(v)
Putting [tex]a=-\dfrsc{4}{c}[/tex] and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get
[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]
[tex]\dfrac{24}{c^2}=6[/tex]
[tex]\dfrac{24}{6}=c^2[/tex]
[tex]4=c^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{4}=c[/tex]
[tex]\pm 2=c[/tex]
It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].
Putting [tex]c=2[/tex] in (iv), we get
[tex]a=-\dfrsc{4}{2}[/tex]
[tex]a=-2[/tex]
Putting [tex]c=2[/tex] in (v), we get
[tex]b=-\dfrsc{6}{2}[/tex]
[tex]b=-3[/tex]
Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].
I'm confused about how to do flow charts for each of these questions!
Answers
Which equation completes the square to create an equivalent to
x2 + 8x +11 = 0 in the form of (x - p)2 = q?
A. (x + 4)2 = 11
B. (x-4)2 = 11
C. (x-4)² = 5
D. (x + 4) = 5
Answers
Answer: The answer is C (sorry if this might be wrong I tried to do the math and I got C)
Step-by-step explanation:
A triangle has sides measuring 15 centimeters, 18 centimeters and 15 centimeters. What kind of triangle is it?
Answers
Answer:
v fggfbfgbfgbgbfgb
Step-by-step explanation:fgfgbgfbfg
Perimeter is used to find the
A: distance from a ceiling to the floor
B: amount of blacktop on a playground
C: amount of floor space covered by a carpet
D: distance around the edge of a swimming pool
Answers
Answer:
D: distance around the edge of the swimming pool
Step-by-step explanation:
perimeter is the distance around something.
Step-by-step explanation:
Perimeter is used to find out the boundary of any thing or figure...So,
Option D Distance around the edge of a swimming pool. is correct answer.
Christais attending the county fair that charges a $12 entry fee. The entry fee includes 10 free rides, but any additional rides cost $1.50 each.
Write a function that models Christa's county fair expenses, cr), when she rides ""rides.
Answers
Answer:
he saves 3 dollars. its not worth it.
Step-by-step explanation:
you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10
Translate the following sentence into an equation using n for the unknown number. Then solve for n.
when 15 is decreased by three times a number, the result is 21
a.
15 - 372 = 21
n = -2
b.
312 - 15 = 21
n = -2
C.
31 - 15 = 21
n = 12
d.
15 - 3n2 = 21
n-2
Answers
Given:
15 is decreased by three times a number, the result is 21.
To find:
The equation for the given statement and solve it.
Solution:
Let n be the unknown number. Then,
Three times of a number = [tex]3n[/tex]
15 is decreased by three times a number = [tex]15-3n[/tex]
It is given given that the result after subtraction is 21. So,
[tex]15-3n=21[/tex]
[tex]-3n=21-15[/tex]
[tex]-3n=6[/tex]
Divide both sides by -3.
[tex]n=\dfrac{6}{-3}[/tex]
[tex]n=-2[/tex]
Therefore, the required equation is [tex]15-3n=21[/tex] and its solution is [tex]n=-2[/tex]. Hence, the correct option is (a).
Answer:
a
Step-by-step explanation:
Graph the first six terms of a sequence where a1 = -10 and d = 3
Answers
Answer:
i honestly dont know
Step-by-step explanation:
Lily has at most $75 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. If each t-shirt costs $9, what inequality represents the maximum amount of t-shirts she could buy?
Answers
Answer:
The inequality represents the maximum amount of t-shirts she could buy is:
30x+9y≤75
Step-by-step explanation:
With the information provided, you can say that the result of adding up the price per jean for the number of jeans plus the price per shirt for the number of shirts has to be less than or equal to 75, which can be represented as:
30x+9y≤75, where
x is he number of jeans purchased
y is he number of shirts purchased
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
Answers
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A
2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal
If n = 3, what is the value of 6n – 3?
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6×3−3
Multiply 6 and 3 to get 18.
18−3
Subtract 3 from 18 to get 15.
15
John increased the amount of water he drinks every day from 32 oz. to 58 oz. By what percentage did John increase the amount of water he drinks?
Answers
Answer:
81.25%
Step-by-step explanation:
58-32=26
26/32=0.8125
0.8125x100=81.25
Sorry I'm not that good at explaining but here is something that helped me.
42 - x = 58
Simplify this plz ASAP
Answers
Answer:
x = 16
Step-by-step explanation:
please mark this answer as brainlest
Answer:
42-x=58
-x=58-42
x=-58+42
x=-16