Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
what is the equation of a line with a slope of -3 and a y-intercept of 9
Answer:
The answer to the question provided is y = -3x + 9.
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
What is the value of y?
the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?
Which graph does not represent a function?
Answer: B
Step-by-step explanation:
It is.
I will give brainiest to whoever answers correctly !!
Answer: approx. 4077.7
Step-by-step explanation:
Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)
4x - 3y = 11
2x - 5y = 25
solve using elimination and substitution method
Answer:
hope it helps forget about my writing
Answer:
(-1.43, -5.57)
Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
-4x + 10y = -50
Next step we cancel out the x but adding both equations which would isolate the y:
7y = -39
y = -5.57
After finding y, plug it back into the equation to find x:
4x - 3(-5.57) = 11
4x + 16.71 = 11
4x = -5.71
x = -1.43
To ensure it is correct, we can plug it back into both equations:
4(-1.43) - 3(-5.57) = 11
2(-1.43) - 5(-5.57) = 25
Which number line represents the following statement?
A number is more than negative five.
+ +
-4 -3 -2
-10 -9
-8
-7
-6
-5
-1
0
+
-3
+
-1
-10 -9
-8
-7
-6
-5
-4
-2
0
04
-10 -9
-8
-7
-6
-5
-4
-3
-2
0
1
-8
-10 -9
-7
-6 -5
-4
-3
-2
-1
0
Answer:
It is the third answer.
Step-by-step explanation:
It is the third answer because when you look at the equation it is 5x is greater then negative 5 so that means it’s the 3rd answer hope this helped!
The number line represented by the equation is x > 5 and the graph is plotted
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = number is more than negative five
Let the number be represented as n
where n > 5
Hence , the inequality is n > 5 and the graph is plotted
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Help plz:)))I’ll mark u Brainliest
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
n
Write the equation of the line
that passes through (5,-6)
and has a y-intercept of -2.
Hint: What ordered pair is
used for the y-intercept?
I
Please answer thank you
Answer:
y=10.2x
Step-by-step explanation:
x represents hikers
y represents total pounds
Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?
Step-by-step explanation:
7/9pls mark as brainliest
Answer:
Step-by-step explanation:
It's 3 31/45
what is the answer to
2x=24
Answer:
12
Step-by-step explanation:
you divide 24 by 2 because it is multiplication, and the opposite is division.
9(x-4) -7x=32-2(x+8)
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
2x ^2 −5=3x
Which of the following describes the solutions to the equation above?
A)The equation has two distinct rational solutions.
B)The equation has two distinct irrational solutions.
C)The equation has one distinct real solution.
D)The equation has no real solutions.
Answer:a
Step-by-step explanation:
The solutions to the given equation will be two distinct rational solutions, i.e. option A.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]2x ^2 -5=3x[/tex]
Now,
Rearrange the equation,
[tex]2x ^2 -3x-5=0[/tex]
Now,
Using the mid term splitting method,
[tex]2x ^2 -3x-5=0[/tex]
i.e.
[tex]2x ^2 -5x+2x-5=0[/tex]
Now,
Taking common,
[tex]2x ^2 +2x-5x-5=0[/tex]
i.e.
[tex]2x (x +1)-5(x+1)=0[/tex]
We get,
[tex](x +1)(2x -5)=0[/tex]
Now,
(x +1) = 0
⇒ x = -1
Now,
(2x -5 )= 0
⇒ [tex]x =\frac{5}{2} =2.5[/tex]
So, the solutions of the given equation are -1 and 2.5.
Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.
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Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answer:
pov: im getting free points
Step-by-step explanation:
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
PLEASE HELP 17 points
Answer: I say B its a bit hard but i think i got it not sure but Good Luck!
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
When dilating a shape, you need to take the side length and multiply it by the scale factor.
Will mark brainliest!!!Please find the value of each variable in the parallelogram!!
Answer:
a=9
b=11
Step-by-step explanation:
opposite sides of a parallelogram are congruent(aka equal)
so, a=9
b=11
Answer:
A is 9 units and B is 11 units.
Step-by-step explanation:
In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.
please help does anyone know this?!!!
Answer:
b c a
Step-by-step explanation:
b c a;b c a; b c a; b c a; b c a
Answer:
Step-by-step explanation:
THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point
y-2x=7, simply add 2x to both sides
y=2x+7
The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.
THe third one has one solution
4. The sale price of a bunny doll is $12 after a 40% markdown. What is selling price and
markdown amount?
The height of a tree is one-half of the height of a tower.
Let m be height of tower. Write a variable expression for the height of tree.
Answer:
If d is the height of the tree: d = 1/2m
Step-by-step explanation:
Solve the inequality.
8 + 12x < -16
Answer:
x < - 2
Step-by-step explanation:
I hope this helps.
Answer:
x < -2
Step-by-step explanation:
1) 12x+8< -16 Rearrange the expression
2) 12x < -16+8 Separate the constants and variables
3) 12x< -24 Add the the number
4) 12x/12 < -24/12 Divide both sides by 12
5) x< -2 Answer
Hope that helps.
Can someone help me with this question for my homework 2x+29+11=x+28
Sure! I'll try!
2x + 29 +11 = x + 28
First, you would put like terms ( the x ) on the same side.
2x + 29 + 11 = x + 28
-2x -2x
Giving you: 29 + 11 = -3x + 28
Then, you would add 29 and 11 together to get 40.
Next, you'd put the 28 on the other side.
40 = -3x + 28
-28 - 28
Giving you: 12 = -3x
which of the following equations would have 2 x-intercepts
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?
Answer:
B
Step-by-step explanation:
rules:
add outside the function : f(x) ± a; will shift a + up / a- down
add inside the function: f(x ± a); will shift a + left / a- right
so if
f(x) becomes f(x) -4 will be shifting down 4 units
complete the ratio table below
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
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need help asap please
Answer:
[tex]\displaystyle 77[/tex]
Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.