Answer: x = 22.21
Step-by-step explanation:
Given
7 · cos (2x) = 5
Divide 7 on both sides
7 · cos (2x) / 7 = 5 / 7
cos (2x) = 5/7
Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)
2x = cos⁻¹ (5/7)
Divide 2 on both sides
2x / 2 = [cos⁻¹ (5/7)] / 2
[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)
Hope this helps!! :)
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20 labourers complete the construction of a building in 24 days.in how many days would 16 labourers complete the work in 12 days ?
Answer:
Step-by-step explanation:
Please I need help ASAP, I don’t understand anything and it’s due tomorrow
Answer:
Alright, here we go.
11. Those are vertical angles. All vertical angles are equal.
6x + 7 = 8x - 17
2x = 24
x = 12
12. Those are linear angles (adjacent angles on a line). Linear angles = 180.
(11x - 15) + (5x - 13) = 180
16x - 28 = 180
16x = 208
x = 13
13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°. ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.
(5x - 42) + (2x - 1) = 90
7x - 43 = 90
7x = 133
x = 19
14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS. If PQR = 82°, angle PQS = 41°
10x + 1 = 41
10x = 40
x = 4
15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles. Angle (x + 10) and angle (10x - 61) are linear angles, so they equal 180.
(x + 10) + (10x - 61) = 180
11x - 51 = 180
11x = 231
x = 21
As for y, insert 21 as x for (10x - 61).
10(21) - 61
210 - 61
149
(18y + 5) should also equal 149° bc of vertical angles.
18y + 5 = 149
18y = 144
y = 8
x = 21
y = 8
(16 is crossed off so I'm going to assume you're not doing that one.)
17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of (4x + 6)°. Now, we were told that angle PNQ = 78°.
4x + 6 = 78
4x = 72
x = 18
This means that angle MNQ = 78 x 2, which is 156.
Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:
(3y - 9) + 156 = 180
3y - 9 = 24
3y = 33
y = 11
x = 18
y = 11
(This took a while.)
If Caleb bought 1.2 pounds of cheese that was selling for 5.95 per pound. How much did Caleb pay for the cheese.
Answer:
$7.14
Step-by-step explanation:
If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14
Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,
Total Amount = $5.95/pound × 1.2 pounds
= $7.14
hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
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I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
how do you find a positive/negative interval?
Answer:
we need to see that weather it is in positive form or negative form
positive means add
negative means subtract
EASY! Check my work and fill in the blanks!
Answer:
Step-by-step explanation:
I've been stuck on this for a while now
Answer:
x = -25/3
Step-by-step explanation:
[tex] \frac{10}{3} = \frac{x}{ (\frac{ - 5}{2} )} \\ = > \frac{10}{3} \times \frac{ - 5}{2} = x \\ = > \frac{ - 50}{6} = x \\ = > \frac{ - 25}{3} = x [/tex]
what us the place value of 4965
Answer:
thousdand
Step-by-step explanation:
5is in units place
6 is in tens place
9 is in hundreds place
4 is in thousands place
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)
Answer:
Than would
Step-by-step explanation:
since he has the lowest weight then the alcohol concentration has less place to go making his higher.
i got the answer 25 did i do it wrong please help if i did
You did it right ! Great Job
P= lw+wh, solve for w
Step-by-step explanation:
P= w(l+h)
w=P/(l+h)
....
Use the story graph of each problem to fill in the blanks of the following sentence frames below.
In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
I DONT KNOW WHAT THE ANSWER IS REALLY
Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)
Answer:
46.875
Step-by-step explanation:
A= l x w x h so you multiple all three numbers together and get your answer
What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?
Answer:
[tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept
First, write the equation in slope-intercept form
[tex]y=-\frac{3}{4}x+b[/tex]
Next, use the point to substitute the x and y value and solve for the y-intercept
[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept
point: (8, 1)
[tex]1=-\frac{3}{4}(8)+b[/tex]
Then multiply 8 and -3/4
[tex]1=-6+b[/tex]
Finally, solve for the b (y-intercept)
b = [tex]1--6[/tex]
b = 7
so the y-intercept is 7
And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]
Answer the question about the angles below.
please help me with this :(((((
Answer:
B
Solution,
2x+8x
.
. . 10x Ans#
please answer this question for me. please help.
Evaluate each expression.(-9)4=
if the distance between town a and b is 1350 KM and the distance between town A and C is in the same direction is approximately two fifth of this. what is the approximate distance of town B and C
Answer:
BC = 810 KM
Step-by-step explanation:
It is 2/5 from A to C so the remaining distance 1 -2/5 = 5/5 -2/5 = 3/5 is the distance from C to B
BC = 3/5 * 1350
BC = 810 KM
Which angle between –180° and 0 has the same cosine value as 275°
Answer:
cos (-85°)
Step-by-step explanation:
[tex] \cos(275 \degree) [/tex]
since cosine is in fourth quadrant:
[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]
-85° is the angle between –180° and 0° that has the same cosine value as 275°.
What is cosine?Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.
Mathematically,
Cos = Base/Hypotenuse
Now, to calculate cos(275) we have to first determine the quadrant of the given angle.
Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.
In the Quadrant IV, the values of cos are always positive.
275 is an obtuse angle so we can write,
Cos(275) = Cos{360+(-85)}
∵ Cos(360+θ) = Cosθ
∴ Cos{360+(-85)} = Cos(-85)
⇒ Cos(275) = Cos(-85)
The required answer is cos(275) = cos(-85)
Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.
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The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
Answer:
Length = 23 feet and width = 12 feet.
Step-by-step explanation:
The width (W) = x and the length (L) is x+11 feet (length must be longer than width).
Perimeter = 2W + 2L = 70
2x + 2(x + 11) = 70
2x + 2x + 22 = 70
4x + 22 = 70
4x =- 70 - 22 = 48
x = 12 = width
So length = 12 + 11 = 23.
i need help asap can one of yall help me !
Answer:
(2,-1)
Step-by-step explanation:
PLEASE HELP ME!!!!!!
Answer:
This is the graph. The 5 points you can plot can be:
roots: (-6, 0) and (-2, 0)
vertex: (-4, -4)
two other random points to complete the 5 points:
(-5, -3) and (-3, -3)
please guys someone help i need the answer
Step-by-step explanation:
2x + y + x+ 2y = 180
3x + 3y = 180
3y +20+2x+y=180
4y + 2x = 160
3x + 3y = 180
2x + 4y = 160
elimination
6x + 6y= 360
6x + 12y = 480
= 6y = 120
y= 20
substitute
3x + 3y = 180
3x + 3(20)= 180
3x + 60 = 180
3x = 120
x= 40
x+2y
40+2(20)=80
<4=<8= 80°
<7=180-<8=<180-80= 100°
angle 7 = 100°
angle 8 = 80°
If ƒ (x ) = 3x2 - x, find ƒ (-2).
I literally have no idea what I'm looking at....maybe I should've paid better attention leading up to the test.
f(x)=3x^2-x
[tex]\\ \rm\longmapsto f(-2)[/tex]
[tex]\\ \rm\longmapsto 3(-2)^2-(-2)[/tex]
[tex]\\ \rm\longmapsto 3(4)-(-2)[/tex]
[tex]\\ \rm\longmapsto 12-(-2)[/tex]
[tex]\\ \rm\longmapsto 12+2[/tex]
[tex]\\ \rm\longmapsto 14[/tex]
Answer:
14
Step-by-step explanation:
f(x) = 3x² - x
To find f(-2), substitute -2 for x into the function f.
f(-2) = 3(-2)² - (-2)Now, use PEMDAS to evaluate the function.
Start by evaluating the exponent.
f(-2) = 3(4) - (-2)Next, multiply 3 and 4 and -2 by -1.
f(-2) = 12 + 2Add the two terms together.
f(-2) = 14The correct answer is f(-2) = 14.
2a+3 =(6 + 4a)
Is it true or false
Answer:
false
I hope it's helps you
Answer:
[tex]2a + 3 = (6 + 4a) \\ \\ it \: is \: false[/tex]
change 105/7 into a mixed fraction
Answer:
15 0/1
Step-by-step explanation:
Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = -1/2x - 8
53g=2g-23g+2 solve g
[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: 2 \: g \: - \: 23 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: - 21 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \:g \: + \: 21 \: g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 74 \:g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \:g \: = \: \cancel\frac{2}{74} \\ \\ \large\bf{\red{ \implies}} \tt \: g \: = \: \frac{1}{37} \end{cases}[/tex]
The value of g from the given equation is 1/37.
The given equation is 53g=2g-23g+2.
We need to solve the given equation for g.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 53g=2g-23g+2 can be solved for g as follows:
That is, 53g=-21g+2
⇒53g+21g=2
⇒74g=2
⇒g=2/74=1/37
Therefore, the value of g from the given equation is 1/37.
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