Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Solve this equation
бу – 14 = 22
y =
Answer:
Let's solve your equation step-by-step.6y−14=22Step 1: Add 14 to both sides.6y−14+14=22+146y=36Step 2: Divide both sides by 6.6y6=366y=6Answer:✍️y=6(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .
Answer:
12x+3y+3
Step-by-step explanation:
Let's simplify step-by-step.
4x+2y+6+7x+3y−4+x−2y+1
=4x+2y+6+7x+3y+−4+x+−2y+1
Combine Like Terms:
=4x+2y+6+7x+3y+−4+x+−2y+1
=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)
=12x+3y+3
Answer:
12x + 3y + 3
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Step 2: Simplify
Combine like terms (x): 12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y): 12x + 3y + 6 - 4 + 1Combine like terms (Z): 12x + 3y + 3What are the x - and y - intercepts for the graph of 2x - 5y = 10
Answer:
Step-by-step explanation:
2x-0=10
x=5
y=2
diagram of ABCD to find m
Answer:
since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63
to fine A and C simply subtract 180 - 63 which gives us 117 so
A = 117
B = 63
C = 117
D = 63
Please help me whats -2(a-3)=12 showing your work and how you did it (solving for a)
Answer:
i believed its a=-3
Step-by-step explanation:
-2(a-3)=12
-2a+6=12
-2a=6
divide -2
a=-3
Please help I don’t know how to do this
Answer:
x = 50°
Step-by-step explanation:
According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,
[tex]x = 15 + 35 = 50[/tex]
A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?
Answer:
18 per serving
Step-by-step explanation:
54/3=18 just divide to find the unit rate
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?
Answer:
399.37
Step-by-step explanation:
multiply the amount each week by the amount of weeks to get the answer :)
Use a scale factor to find the missing side.
A)10
B)12
C)15
D)16
ᴄᴀɴ sᴏᴍᴇᴏɴᴇ ᴘʟᴇᴀsᴇ ʜᴇʟᴘ ᴍᴇ.
Answer:
15
Step-by-step explanation:
If we accept that the left side of the left triangle corresponds to the left side of the right triangle, then the scale factor is 6/8 = 3/4. By multiplying the scale factor by the bottom side of the first triangle, you'll get the corresponding side of the right triangle: 20 * 3/4 = 15.
Answer:
15
Step-by-step explanation:
PLS HELP ME 5x+3=7x-1
Answer:
Hello! the answer is X=2
Step-by-step explanation:
Answer:
The answer is x=2
Step-by-step explanation:
What is the original cost of a skateboard that was discounted by 35% and now sells for $92.95?
Answer:
The answer should be $143
95°
x°
y°
z°
55°
please fast give me correct ans with full process i will mark u as brainlist
Answer:
Step-by-step explanation:
55 pages in 25 minutes
Fernando is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. How long does each routine last?
Answer: Arm routine = 11 minutes
Abdominal routine = 22 minutes
Step-by-step explanation:
Let the minutes used for an arm routine be represented by x.
Let the minutes used for an abdominal routine be represented by y.
Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:
2x + 3y = 88
This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:
4x + y = 66
2x + 3y = 88 ...... i
4x + y = 66 ...... ii
Multiply equation I by 4
Multiply equation ii by 2
8x + 12y = 352 ...... iii
8x + 2y = 132 ...... iv
Subtract iv from iii
10y = 220
y = 220 / 10
y = 22
An abdominal routine last for 22 minutes
From equation I
2x + 3y = 88
2x + 3(22) = 88
2x + 66 = 88
2x = 88 - 66
2x = 22
x = 22/2
x = 11 minutes
An arm routine last for 11 minutes
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answer:
Choice A. $2,392 is the correct answer
Pls answer I need help!
Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj
Answer:
x = −1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Original Equation:
15 + 4x = 12 + x
Subtract x from both sides
15 + 3x = 12
Subtract 15 from both sides
3x = -3
Divide both sides by 3
x = -1
Hope this helps :)
Please consider Brainliest :)
What is the value of x? Enter your answer in the box
Answer:
x=28
Step-by-step explanation:
Set 2x-4 equal to 60 and solve.
The three angles in the triangle add up to 180. Divide this by 3 and you get 60.
Eli wanted to order candy online. Company A 2 1/2 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer: Company A is charging $13 per pound of chocolate
Step-by-step explanation:
32.5/2.5=13= 1 pound
Check:
13*2.5=$32.5
LINEAR EQUATIONS!
7(6-y)=-3(y-2)
Answer:
y=9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variables
move variable to left side and change its sign
42-7y+3y=6 collect like terms
-7y +3y=6-42
-4y=6-42
-4y=-36 divide both sides of the equation by -4
y=9
hope that helps :)
will give 50 points!
Torren deposits $4500 in an account earning 2% interest, compounded annually. The equation that represents this situation is
A(n)=4500(1+0.02)^n-1
How much will he have in the account at the beginning of year 8? Round your answer to the nearest dollar
A. $5169
B. $16,124
C. $32,130
D.$5272
Answer:
the answer is D
Step-by-step explanation:
hopes it helped^^
Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest
Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.
Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:
Answer:
slope: 0
y-intercept:(0,49)
Step-by-step explanation:
Hope this helps!
Answer:
SLOPE: 0
Y -INTERCEPT: 49
Step-by-step explanation:
y = -32 - 17 (collect like terms)
y = 49
The slope would be zero because it doesn't have an x-intercept.
The line would look like this..
49 -------------------------------------------- completely flat like the floor so zero slope.
HOPE THIS HELPS!1
Whats the answer for #3
Answer:
plus 2
Step-by-step explanation:
because there negatives
can someone check my answers plz
Answer:
its right
can i have brainliest please
Answer:
I got the same answers as you
Solve the system of equations by substitution.
X + y = 21
y = 6x
Answer:
x = 3
y = 18
Step-by-step explanation:
you replace y with 6x
x + 6x = 21
combine like terms
7x = 21
divide both sides by seven
x = 3
then you plyg 3 into the other equation
y = 6(3)
y= 18
Answer:
x=3
y=18
Step-by-step explanation:
x+y=21..........equation 1
or,x=21-y......equation 2
y=6x.......equation3
substituting the value of x in equation 3
y=6(21-y)
or,y=126-6y
or,7y=126
y=18
again,substituting the value of y in equation 2
x=21-y
or,x=21-18
x=3
x=3,y=18
Do anybody know how to do this ? This typa work is unnecessary bruh I hate school !
Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!
Answer:
m<1 = 87
Step-by-step explanation:
Bro I got you! You ain't gotta hate school no more!
Right the equation like this
m<1 + m<2 = <TSV (plug in)
m<1 + 65 = 152 (subtract 65 from 152 to get m<1)
m<1 = 87
There you go!
Hope this helps ya!
XYZ is Shown Below
Determine the value of x.
Answer:
x = 10
Step-by-step explanation:
Every triangle has 180o. Just add the three angles together.
8x + 5 + 3x + 25 + 4x = 180 Combine the like terms.
15x + 30 = 180 Subtract 30 from both sides
15x = 180 - 30 Combine
15x = 150 Divide by 15
x = 150/15
x = 10
Answer:
10
Step-by-step explanation:
8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)
8x + 3x + 4x + 5° + 25° = 180°
15x + 30° = 180°
15x = 180° - 30°
15x = 150°
x = 150/15
x = 10°
hope it helps u!