Answers
Answer: Choice D
s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)
==========================================================
Explanation:
Consider the pythaorean theorem
a^2 + b^2 = c^2
which is the same as saying
c^2 = a^2 + b^2
If we tack on "-2ab*cos(C)", then we end up with
c^2 = a^2 + b^2 - 2ab*cos(C)
which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.
Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.
In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.
Answer:
Option (4)
Step-by-step explanation:
Cosine rule states,
(UT)² = (SU)² + (ST)² - 2(SU)(ST)cos(∠UST)
Here, UT is the opposite side of angle UST and two sides SU and ST are the adjacent sides.
∠UST is the included angle between SU and ST.
By this formula,
s² = 9² + 10² - 2(9)(10)cos(100°)
Therefore, Option (4) will be the answer.
Related Questions
Enumere Cuatro Fuentes de Corriente continua
Answers
Answer:
La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!
Answers
Answer:
ab multiplied by ( A -B)
Step-by-step explanation:
Which point on the number line best represents 166 ?
A
B
C
D
7
9
8
B at 7.9
Cat 8.1
D at 8.8
A at 7.3
Answers
Answer:
a and b
Step-by-step explanation:
well i dk b
1. When x is 1, what value of y makes the equation true?
Answers
Answer:
Step-by-step explanation:
-0.5
Step-by-step explanation:
If x is 1, plug it into the equation.
So, y=-3(1) + 2.5
-3(1) = -3
now add.
-3+2.5 = -0.5
so that should give you y = -0.5
Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.
(1/3)2 = one third to the power of 2
Answers
Answer:
24
kobeeeeeeeeee
Step-by-step explanation:
Please find the measure of angle F
Answers
Answer:
98º
Step-by-step explanation:
Which expression is equivalent to 5(2x +10)
Answers
Answer:(5 + x)(2x + 10)
Step-by-step explanation:
Im pretty sure its that
The expression that is equivalent to 5(2x +10) is 10(x+5).
The Given expression is:
[tex]5(2x+10)[/tex]
What is an expression?An expression is a set of the algebric terms combined using mathematical operations.
The given expression can be written as:
[tex]5*2x+5*10[/tex](using the distributive property)
[tex]=10x+50[/tex]
[tex]=10(x+5)[/tex]
So, equivalent expression =10(x+5)
Thus, the expression that is equivalent to 5(2x +10) is 10(x+5).
To get more about the expressions visit:
https://brainly.com/question/945593
The price of a television is $567.31. The state sales tax rate is 8.3%.
What is the total cost of the television?
Answers
567.31 * .083 = 47.086 = 47.09
567.31+47.09= $614.40
Total cost is $614.40
Answer:
[tex]2.64957x10 [/tex]
[tex]8547 \times 31[/tex]
[tex] = 264951[/tex]
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answers
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answers
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
HOW PLEASE EXPLAIN TOO WITH ANSWER
Answers
Answer:
y = -2x + 3
Step-by-step explanation:
5 x -2 + 3 = -7
3 x -2 + 3 = -7
9 x -2 + 3 = 1
-3 x -2 + 3 = 9
You just have to test all of the options, everything, out and pick what fits.
Hope that helps!
Explanation:
You will have to try to substitute the numbers shown in the table with the 4 equations. And see which equation satisfies all the expressions in the table.
y = -2x + 3
Sub x = 5 and y = -7,
-7 = -2(5) + 3
-7 = -10 + 3
-7 = -7
(x=5 and y=-6 satisfies the equation y=-2x+3)
Sub x=3 and y=-3,
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3
(x=3 and y=-3 also satisfies the equation y=-2x+3)
Same goes for all the other numbers...
Hope it helps :)
Find the area of the triangle.
Answers
Answer:
[tex] 28\: ft^2[/tex]
Step-by-step explanation:
Area of the triangle
[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]
AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.
Pls help 10 points
Answers
Answer:
Step-by-step explanation:
Since, BC and DC are the sides of a regular polygon,
m(DC) = m(BC)
Opposite angles of these equal sides will be equal in measure.
m∠DBC = m∠CDB = v
By triangle sum theorem,
m∠DBC + m∠CDB + m∠DCB = 180°
v + v + 140° = 180°
2v = 40°
v = 20°
Since angle 'x' is an exterior angles of ΔBCD,
x = m∠BDC + m∠CBD [By the property of exterior angles]
x = v + v
x = 40°
Since, angles v, w and x are the linear angles,
v + w + x = 180°
20° + w + 40° = 180°
w = 120°
Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]
n = Number of sides
40° = [tex]\frac{360}{n}[/tex]
n = 9
Sum of angles formed at the center by joining vertices of the polygon = 360°
Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]
= 40°
Since, z = 3 × (Measure of central angle formed at the center)
= 3 × 40°
= 120°
In ΔOAB,
m∠OAB + m∠OBA + m∠AOB = 180°
y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]
2y = 140°
y = 70°
Numbers 100 to 125 are written on separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking in to it. What is the probability of getting a number 108?
Answers
Answer:
1/25
Step-by-step explanation:
In 100 to 125, the difference is 25.
so, there is only 1 possibility of there being 108 from 100 to 125 so its 1/25
Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball cards
Answers
Answer:
Cards with Mark = 30
Cards with Drew = 120
Cards with Katie = 12
Step-by-step explanation:
The complete question is
Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards as Mark. In all they have 162 baseball cards. How many does each have?
Solution -
Let the number of cards with Mark be "X"
Number of cards with Drew = 4 *X = 4X
Number of Cards with Katies = 0.5 X -3
Sum of all the cards is equal to 162
X+4X + 0.5 X -3 = 162
5.5 X = 165
X = 30
Cards with Mark = 30
Cards with Drew = 4 * 30 = 120
Cards with Katei = 15-3 = 12
4 (2r + 3 ) = 15r - 11 +1 - 7r
Answers
delete this
boop uwu
Answer:
No solutions
Step-by-step explanation:
4(2r + 3) = 15r - 11 + 1 - 7r
Distribute:
8r + 12 = 15r - 11 + 1 - 7r
Combine like terms:
8r + 12 = 8r - 10
Same to both sides:
0r = -22
No solutions
need help in this show working please
Answers
A local natural market employs 80 people. It expands this year and needs to hire 10% more people. How many people will work at the market after they hire the new people?
Answers:
A. 98
B. 90
C. 81
D. 88
Answers
Mdmfmfmfmfmmmmjjmk
in △ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. what are the measures of the angles?
Answers
2x+3+4x+2+2x-1=180
Now we combine like terms (2x+4x+3x is 8x, 3+2-1 is 4)
8x+4=180
Now subtract 4 from both sides (4-4 is 0, 180-4 is 176)
8x=176
Now divide both sides by 8.
x=22.
Now substitute 22 wherever you see x in each expression.
2x+3 = 2(22)+3 = 44+ 3 = 47
4x+2 = 4(22)+2 = 88+2 = 90
2x-1 = 2(22)-1 = 44-1 = 43
So the final answer is A=47°, B=90°, C=43°
To check, add these numbers together and see if they equal 180.
90+43+47 is 180, so the answers are correct.
Determine the slope of the line
Answers
Answer:
2 !!
Step-by-step explanation:
use RISE/RUN !! you would go up from the 1 point, on the y axis !! from there, ud go up 2, then to the right 1, so ur slope is 2/1 .... which is 2 !!
i hope this helped !
Posts are 4 1/4 feet in length. Posts must be installed 7/8 feet below ground level, What will be the height of fence?
Answers
Answer:
Step-by-step explanation:
4 1/4x7/8
I think 119/32
The height of fence will be "[tex]\frac{41}{8}[/tex]".
According to the question,
Length of posts,
= [tex]4\frac{1}{4} \ feet[/tex]
Length of posts below ground level,
= [tex]\frac{7}{8} \ feet[/tex]
Now,
→ The height of the fence will be:
= [tex]4\frac{1}{4} +\frac{7}{8}[/tex]
= [tex]\frac{17}{4}+\frac{7}{8}[/tex]
= [tex]\frac{34}{8}+\frac{7}{8}[/tex]
= [tex]\frac{34+7}{8}[/tex]
= [tex]\frac{41}{8}[/tex]
Thus the above is the right answer.
Learn more:
https://brainly.com/question/24395658
an anchor line for a tower needs to be replaced the tower is 96ft tall. the anchor line is 105ft long. how far from the tower can it be placed, to the from the nearest tenth
a). 142.3ft
b). 42.5ft
c). 9ft
d). 60 ft
Answers
Answer: 42.5ft
Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.
If so, you can use the Pythagorean Theorem.
a^2 + b^ = c^2
96^ + b^2 = 105^2
Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)
Happy to help
Help me please I am a idiot who doesn’t get math
Answers
To calculate the cuboid's volume, use height×width×length which is 11×11×16
For the cylinder's volume, use πr²h. in this case, it is 3.14×4²×9
Add up the two answers you get and that's the solution
Yoli survey 100 people in your school and ask them if
thely feel your school has adequate parking. Only 30%
of the sample feels the school has enough parking. If
you have 728 students total in your school, how many
would you expect out of all the student body that felt
there was enough parking?
Answers
Answer:es, theoretically you would expect to roll only eight 5s. 3. You survey 100 people in your school and ask them if they feel your school has adequate parking. Only. 30% of the sample feels the school has enough parking. If you have 728 students total in your school, how many would you expect out of all the student body that ...
Step-by-step explanation:
Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2
Answers
Answer:
90
Step-by-step explanation:
6^2=36
9*14=126
126-36=90
Answer:
90
Step-by-step explanation:
X ° Y - z2 =
9 x 14 - 6 x 6 =
126 - 6 x 6 =
126 - 36 = 90
Bodmas is used for this equation, the order of the sums that you should do:
1. The sum in the bracket
2. Division
3. Multiplication
4. Addition
5. Subtraction
Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.
What is the value of x
Answers
Answer:
the answer will be 10 aka number 1
Step-by-step explanation:
If the left side is 18 and the number above it is half that aka 9 then the other side is 10
Tell weather each pair is parallel, perpendicular, or neither: 8x – 2y = 3
x + 4y = -1
Answers
which one pls help me i’ll give extra points
Answers
Answer:
C
Step-by-step explanation:
Answer:
A. The doctors will give Charlie an operation
Step-by-step explanation:
Three people attend a concert for $155. Ten attend the same concert for $470. Find the rate of change.
Answers
Answer: 45
Step-by-step explanation:
3 attend for $155 ($51.67 a piece)
10 attend for $470 ($47 a piece)
7 more attend/ adds $315
45 is the rate of change
Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g
Answers
Answer:
If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.
Hope this helps.
