the cosine rule calculate tha angle of r 7.2 3,7 5.2
Answers
Given:
Consider the below figure attached with this question.
To find:
The measure of angle r by using the cosine rule.
Solution:
According to Law of Cosine,
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using the Law of Cosine, we get
[tex](7.2)^2=(3.7)^2+(5.2)^2-2(3.7)(5.2)\cos r[/tex]
[tex]51.84=13.69+27.04-38.48\cos r[/tex]
[tex]51.84=40.73-38.48\cos r[/tex]
[tex]51.84-40.73=-38.48\cos r[/tex]
On further simplification, we get
[tex]11.11=-38.48\cos r[/tex]
[tex]\dfrac{11.11}{-38.48}=\cos r[/tex]
[tex]-0.2887=\cos r[/tex]
[tex]\cos^{-1}(-0.2887)=r[/tex]
[tex]106.780143=r[/tex]
[tex]r\approx 106.78[/tex]
Therefore, the measure of angle r is 106.78 degrees.
Related Questions
I need help with number 2 please
Answers
The answer is 2k x 1
Answer:
(z - 4) (x - 9)
− 4 x + z − 9
(k + 6) (k - 7)
k^2 - k - 42
(y - 5) (y + 5)
y^2 - 25
Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?
Answers
Answer:
$353.75
0.05x + 300
Step-by-step explanation:
1075 x 0.05 = 53.75 + 300 = 353.75
0.05x + 300
HOW TO DO THIS QUESTION PLEASE
Answers
Answer:
Try 5 first. If that is marked wrong, try 5.07
Step-by-step explanation:
Estimate means put your calculator on the other side of the room. You are to do this in your head.
78 is nearly 80
69 is nearly 70
29 is nearly 30
So now do the question
80 + 70 = 150 because 8 and 7 = 15.
150 / 30 = 50 because 15/3 = 5
So the answer that should be right for this question should be 5
Let's see how close that is.
78 + 69 = 147
147 / 29 = 5.07
9514 1404 393
Answer:
5
Step-by-step explanation:
To estimate the quotient, round the numerator and denominator, then find the quotient of the rounded numbers.
(78 +69)/29 ≈ (80 +70)/30 = 150/30 = 5
A good estimate of the quotient is 5.
_____
Additional comment
IMO, an estimate should also be accompanied by an estimate of the error. Here, the numerator is increased by 3 units to get 150, so is about 3/147 ≈ 2% high. The denominator is increased by 1 unit to get 30, so causing the estimate to be approximately 1/29 ≈ 3.3% low. Overall, this means the estimate is on the order of 2% -3.3% = -1.3% from the actual value. That is, it is on the order of 1.3% low. (It is actually about 1.361% low.)
PLZ HELP! I will give brainliest! A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also go into the theater?
Answers
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240 proportion
160e = (100)(240)
160e = 24000
elves = 150
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240
160e = (100)(240)
160e = 24000
elves = 150
What is the focus of the parabola?
y =1/4x^2 -x-1
Enter your answer in the boxes.
Answers
Answer:(-y/(1/2)) -x/(1/2)=1
Step-by-step explanation:
The coordinates of the focus of the parabola are (2, -1.9375)
How to determine the focus?The equation of the parabola is given as:
[tex]y = \frac 14x^2 - x - 1[/tex]
Express as a vertex form
[tex]y = \frac 14(x - 2)^2 - 2[/tex]
The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is
Focus = (h, k + 1/4 a)
By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:
a = 1/4
h = 2
k = -2
So, we have:
Focus = (2, -2 + 1/4 * 1/4)
Evaluate
Focus = (2, -1.9375)
Hence, the coordinates of the focus of the parabola are (2, -1.9375)
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Factoring out the greatest common factor
14x+7
Answers
Answer:
7,1
Step-by-step explanation:
The common factors for 14,−7 are 1,7 . The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,7 is 7 .
pls help me with this
Answers
Answer:
D at 8.8
im not sure brainliest please ok
Answer:
The answer is C at 8.1.
Step-by-step explanation:
To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.
Now, for the decimal part, use the following formula:
(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)
Then, put in the known information, which will look like:
(66 - 64)/(81 - 64) = 2/17 = 0.117
Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.
Show work if you can!
Answers
Answer:
9 inches
Step-by-step explanation:
(x + 2)² = 121
√(x + 2)² = √121
x + 2 = 11
x + 2 - 2 = 11 - 2
x = 9
Find the tangents of angles A and B please
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]
Therefore, [tex]tanA=\frac{opposite}{adjacent}=\frac{7}{24}[/tex] and [tex]tanB=\frac{opposite}{adjacent}=\frac{24}{25}[/tex]
An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.
Answers
Answer:
an = 10(3^n-1)
Step-by-step explanation:
The explicit formula of a geometric sequence is written as:
an = ar^n - 1
Where
an = nth term
a = First term
r = common ratio
n = number of terms
Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:
an = 10 × 3^n-1
an = 10(3^n-1)
Angles equation for geometry.
Answers
Answer:
40 degrees
Step-by-step explanation:
Since we have the diameter included in the triangle, the angle at B is 90
This is because angle at center is two times the angle at the circumference
Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees
Now, let us use the measure of the arc given
The angle at C is half of 100 which makes it 50
This is according to an angle arc relationship
Lastly, the sum of angles in a triangle is 180 degrees
We already have two angles and we need the last
so we have to add what we have already and subtract from 180 to get the angle we are looking for
So we have the angle as 180-(90 + 50) = 180 -140 = 40
Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?
Answers
Answer:
16.7%
Step-by-step explanation:
Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:
5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36
And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.
Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%
heyy! i’ll give brainliest please help
Answers
What’s the answer to this question 6 1/2 - 4 7/10
Answers
Answer:
1 4/5
Step-by-step explanation:
Convert 1/2 to tenths. 1/2 = 5/10 which reduces back to 1/2
borrow 1 from the 6 to make 5/10 greater than 7/10
5/10 + 10/10 = 15/10
The 6 1/2 has become 5 and 15/10
5 15/10 Subtract 4 7/10
4 7/10
1 8/10 Reduce the fraction by dividing top and bottom by 2
1 4/5
Also possible is
6.5
4.7 Subtract
1.8
Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)
Answers
Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get
[tex]12=ab^0[/tex]
[tex]12=a[/tex]
The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get
[tex]6144=12b^3[/tex]
[tex]\dfrac{6144}{12}=b^3[/tex]
[tex]512=b^3[/tex]
[tex]512^{\frac{1}{3}}=b[/tex]
[tex]8=b[/tex]
Putting [tex]a=12,b=8[/tex] in (i), we get
[tex]y=12(8)^x[/tex]
Therefore, the required exponential function is [tex]y=12(8)^x[/tex].
What is the value of B for the following triangular prism?
A) 48 ft 2
B) 24 ft 2
C) 40 ft 2
D) 60 ft 2
Answers
Answer:
24 ft 2
Step-by-step explanation:
Because 1/2 x 6 x 8 =24
Answer:
The value of B for the following triangular prism is B) 24 ft 2
Step-by-step explanation:
Right angled triangleA triangle with one of the angles as 90° is called Right angled triangle. In the right angled triangle we can find the other side if the two sides are known with the help of Pythagoras theorem.Area of the base of the following triangular prism is right angled triangle .
Therefore,
Area of right angle triangle= [tex]\frac{1}{2}[/tex]×[tex]base[/tex]×[tex]height[/tex]
= [tex]\frac{1}{2}[/tex]×[tex]6[/tex]×[tex]8[/tex]
=24[tex]ft^{2}[/tex]
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A wedge of cheese in the shape of a triangular prism is shown below.Find the surface area of the cheese.
Answers
Answer:
maybe 28 square feet
Step-by-step explanation:
maybe 28 square feet
77
If the measure of angle is 8 is 4 , which statements are true?
A-cos(8) = -1
B-The measure of the reference angle is 60°.
C-The measure of the reference angle is 30°.
D-The measure of the reference angle is 45°.
E-sin() - 2
F-tan(O) = -1
Answers
Answer:
fifth option is the correct ans
sin(thita) = -sqare root 2 / 2
The statements which are true are,
The measure of reference angle is 45° and tan (θ) = -1.
What is Reference Number?Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.
Reference angle is shortest angle measure from the X axis to the terminal side of the angle.
Reference angle = 2π - 7π/4 = π/4 = 45°
We have,
7π/4 = 2π - π/4
We also know that,
cos(2π - x) = cos x,
sin (2π - x) = -sin x
tan (2π - x) = -tan x
So, using theses identities,
cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2
sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2
tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1
Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.
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Which of the following statements is true? Select all that apply.
A.
The radius of a circle is twice its diameter.
B.
To find the diameter of a circle, divide its circumference by π.
C.
The circumference of a circle is greater than its diameter.
D.
The circumference of a circle is twice its radius.
E.
To find the diameter of a circle, multiply its radius by two.
Answers
The circumference of a circle is greater than its diameter.
To find the diameter of a circle, multiply its radius by two.
These 2 are correct
Answer:
A and E
Step-by-step explanation:
a part is the d us equal to 2r which is true
and is the same
Given f:x →x^2 +1 and another function g such that fg :x + x² + 4x +5.
Find the function of g.
Answers
Answer:
g(x) = x+2
Step-by-step explanation:
f(x) = x^2 + 1
fg(x) = x^2 + 4x + 5
Find the function g(x) so that when you put it into f(x) you get x^2 +4x + 5
g(x) = x+2
A movie started at 5:25pm and
finishes 1 hour 55 minutes later. At
what time did the movie finish?
Answers
Answer:
7:20 pm
Step-by-step explanation:
25 + 55 = 80
80 - 60 = 20
Add 2 hours to 5
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)
Answers
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
4+4x+x^2 = y Given x = 2
Answers
Answer:
16
Step-by-step explanation:
4 + (4 * 2) + [tex]2^{2}[/tex] = y
16 = y
Answer:
x=2,y=16
Step-by-step explanation:
4+4(2)+2^2=y Put the x value where it belongs
4+8+2^2=y Now do 2*2 (two to the power of two)
4+8+4=16
16=16
Fill in the table using this function rule. y=6x + 5
Answers
Answer:
11, 17, 29, 65
Step-by-step explanation:
Rrplace x with values on the x colon
Answer:
Column 1 (When x = 1): y = 11
Colum 2(When x = 2): y = 17
Column 3(When x = 4): y = 29
Colum 4(When x= 10): y = 65
Step-by-step explanation:
When x = 1; y = 6(1) + 5
=> y = 6 + 5
=> y = 11
When x = 2; y = 6(2) + 5
=> y = 12 + 5
=> y = 17
When x = 4; y = 6(4) + 5
=> y = 24 + 5
=> y = 29
When x = 10; y = 6(10) + 5
=> y = 60 + 5
=> y = 65
Hope this helps!
First 4 terms 6,11,16,21 expression for the nth term
Answers
Answer:
5n + 1
Step-by-step explanation:
Increase by 5.
Variable term is 5n.
Number term is +1
5n + 1 :)
Hope this helps!
Answer:
Tn=5n+1
Step-by-step explanation:
T9=5*9+1
T9=45+1
T9=50
BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s
Answers
2. 1
3. 18
4. 9
5. 2
6. 20
7. 1
8. 6
^^ I am so sorry if any are wrong, I tried as best as I could
Hello I really need some help I will give you BRAINLEST!!!!
Answers
Answer: Choice B
Step-by-step explanation:
V = 4 pi * r^3 / 3
V = 4 (3.14) * 8^3 / 3
V = 12.56 * 512 / 3
V = 12.56 * 170.66
V = 2,143.57 cm^3
Hope this helped! Please give brainliest.
Which graph shows the line that best fits the data points given?
Answers
Answer:
3rd one
Step-by-step explanation:
The correct graph which shows the line that best fits the data points given is shown in Option 3.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
To find correct graph which shows the line that best fits the data points.
Now, We know that;
The correct graph of line for the data points is contain almost every points.
Hence, We get;
The correct graph which shows the line that best fits the data points given is shown in Option 3.
Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.
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Caros makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the type of flowers Carlos will plant. Which equation can be used to find the surface area (y ), in square inches, of a wooden box that has a length of x inches? Use the distributive property to help you solve.
Answers
Answer:
y = 2(31x + 336)
Step-by-step explanation:
The surface area of an open rectangular box of sides, l, w and h is
A = 2lh + 2wh + lw where l = length = x, w = width = 14 in and h = height = 24 in.
Since A = y, we have
y = 2lh + 2wh + lw
y = 2x(24) + 2(24)(14) + x(14)
y = 48x + 672 + 14x
y = 62x + 672
y = 2(31x + 336)
The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.
Answers
Answer:
The Median is 0.5
Step-by-step explanation: