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.
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
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 :)
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
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
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.
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 :)
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:
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!
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
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^^
can someone check my answers plz
Answer:
its right
can i have brainliest please
Answer:
I got the same answers as you
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:
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
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]
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!
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
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
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
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:
55 pages in 25 minutes
What 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
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 + 3Write 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.
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
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 :)
Whats the answer for #3
Answer:
plus 2
Step-by-step explanation:
because there negatives
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.
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
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