Answers
Answer:
x = 6.9
Step-by-step explanation:
We're going to use SOH CAH TOA.
If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).
According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.
The equation for CAH is cos (Ф°) = A/H
In this case, Ф = 58°, A = x, and H = 13
So cos (58°) = x/13
Solve for x by multiplying both sides by 13 and using your calculator to evaluate.
13 cos (58°) = x
x = 6.88895
To the nearest tenth, x = 6.9
Related Questions
In the diagram, point O is the center of the circle and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC?
Answers
Answer:
B - 43
Step-by-step explanation:
The required measure of the angle m∠BDC is 43°.
Given that,
In the diagram, point O is the center of the circle, and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Property of circle -
"The angle subtended by an arc of the circle to the center point of the circle is double the angle subtended by the same arc on any point the circumference of the circle."
So,
From the above property,
Angle subtended by Arc AB at center or m∠AOB is 2 * 43 = 86°
From given m∠AOB = m∠BOC,
Implies
m∠BOC = 86°
Angel subtended by arc BC at D is m∠BDC = m∠BOC /2
= 86 /2
= 43°
Thus, the required measure of the angle m∠BDC is 43°.
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The data set on the right represents
A teacher recorded all of his students' grades on
the final exam as:
DONE
62, 77, 78, 80, 82, 82, 83, 84, 85, 87, 89,95
Consider the formulas:
A: 52_ (x1 - x* +(x2 - x)2 + ... + (xin – x)2
n-1
(y - x)+(x2-x+ +(An - x}}
n-1
co2
(x2 – 40)2 + (x2 – 42+ +(x3 - ?
B.SE
(x2 - 4) + (x2 - 4 +
N
+(9-4)
Answers
Answer:
The correct option is C
(SEE THE ATTACHMENT)
Step-by-step explanation:
The question is unclear because the options given doesn't make any sense. We can consider the questions incomplete, After searching the internet, I found out what was the question and its options actually are. I hope it helps
(YOU CAN SEE THE ATTACHMENT BELOW)
Q) WHICH FORMULA SHOULD BE USED TO CALCULATE VARIANCE?
ANSWER)
We know that there are 2 types of variance, Population variance and sample variance. As in this question, we are considering all the values of the data to find variance. we'll find Population Variance. If we would considered only some values (sample) from the data (population), we would have considered to find sample variance.
Population Variance is given as sigma squared which is calculated by sum of square variables minus mean, divided by number of observation in population.
[tex]\sigma^2=\frac{\sum(x_i-\mu)^2}{N}[/tex]
which is represented by option C
Answer:
The data set on the right represents
✔ the population B
.
Which formula should be used to calculate the variance?
✔ C
What is the variance?
✔ 58.5
what’s the answer to this ?
Answers
Answer: 12.73 cm
Step-by-step explanation:
The clock will move in a circular motion
The radius if the circle is 7.6 cm
So circumference= 2πr
= 2×22/7×7.6
=47.75 cm
Degree covered in 16 minutes=
360/60×16
= 96°
Now, since distance covered in 1° =
47.75/360 = 0.133
Distance covered in 96° =
47.75/360×96 = 12.73 cm ( approx.)
Charles wants to analyze his last 9 math test scores with a
box plot to see how spread apart they are.
Arrange the scores in order, from lowest (on the left) to
highest
Answers
Answer:
We need numbers to graph it.
Step-by-step explanation:
You gotta give us the functions.
Answer:
80,84,86,87,90,91,92,94,100
Start is 80. End is 100. Lower Q is 85. Higher Q is 93
Range of scores is 20
Median of scores is 90
The LQR of scores is 8
Edge. 2021
The endpoints of VW are V(-4,9) and W(1,-6). Find the coordinates of the midpoint M
Answers
Answer:
(-3/2 or 1.5, 3/2 or 1.5)
x = -3/2 or -1.5
y = 3/2 or 1.5
Step-by-step explanation:
the midpoint formula is x1+x2/2 and then y1+y2/2 so -4 +1 = -3/2 for x. for y, 9 + -6 = 3/2. so the midpoint would be (-3/2 or 1.5, 3/2 or 1.5) depending on if you’re using decimals or fractions
The midpoint of VW is (-3/2,3/2).
What is midpoint of a line ?The midpoint of a line divides a line segment into two equal parts and the point is called the midpoint.
According to the given question the endpoints of VW are V(-4,9) and W(1,-6) and we have to find midpoint of VW.
We know midpoint of x is (x₁+x₂)/2 and midpoint of y is (y₁+y₂)/2.
Here V is (x₁,y₁) = (-4,9) and W is (x₂,y₂) = (1,-6).
∴ Midpoint of x is
= (-4 + 1)/2
= -3/2.
AND
Midpoint of y is
= {9 + (-6)}/2
= 3/2.
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Which of the following scenarios could be modeled by a step function? A. A moving company charges $65 per hour. They round minutes up to the next hour.
B. A sports shop tracks its total monthly sales of surfboards over 5 years. They note a peak in sales every year in the months of June and July followed by a steady decline and almost no sales during the winter months.
C. A restaurant allows patrons to choose one meat and two sides from their lunch menu for a set price. Additional sides are $2.50 each.
D. A savings account at Best Bank provides an interest rate of 8% per year on accounts with balances of at least $1,000
Answers
Answer:
A. A moving company charges $65 per hour. They round minutes up to the next hour.
Step-by-step explanation:
Let's define
x: hours worked
C(x): cost charged
The step function will be:
C(x) = 65 0 ≤ x ≤ 1
C(x) = 130 1 < x ≤ 2
C(x) = 195 2 < x ≤ 3
and so on.
4. You sketch a right triangle that has a
hypotenuse of 12 centimeters, and one leg
that is 7 centimeters. How many centimeters
Is the other leg?
Answers
Answer:
√95 cm
Step-by-step explanation:
To solve, you need to use the pythagorean theorem, or a^2 + b^2 = c^2
The hypotenuse is the c and let one leg be b. You can write:
a^2 + 7^2 = 12^2
a^2 + 49 = 144
Now, you need to solve for a:
a^2 = 144 - 49
a^2 = 95
a = √95 cm, or about 9.75cm
Please ANswer!!!
x^2 +25 + 2 = 2x^2 + 30
Will mark brianliest!
Solve, please!!!
Answers
Answer:
x^2 +25 + 2 = 2x^2 + 30
X^2 + 27 = 2X^2 + 30
- 27 - 27
X^2 = 2X^2 + 3
-X^2 = 3
X = SQRT. - 3
Answer:
± sqrt(3) i =x
Step-by-step explanation:
x^2 +25 + 2 = 2x^2 + 30
Combine like terms
x^2 + 27 = 2x^2 +30
Subtract x^2 from each side
x^2 + 27 - x^2 = 2x^2 - x^2 +30
27 = x^2 +30
Subtract 30
27-30 = x^2
-3 = x^2
Taking the square root of each side
±sqrt(-3) = sqrt(x^2)
±sqrt(-3) =x
±sqrt(-1) sqrt(3) =x
We know the square root of -1 = i
± sqrt(3)i =x
Which of the following does not have any dimension? Question 13 options: A) Line B) Point C) Ray D) Line segment
Answers
Answer:
B) Point
Step-by-step explanation:
Lines have length because they extend forever in both directions. Rays extend forever in one direction. Line segments have length. A point does not have any dimension.
Answer:
B
Step-by-step explanation:
If a credit card holder has a low APR. The minimum monthly payments will be?
A. higher
B. lower
C. unchanged
D. fluctuating
Answers
Answer:
Option B, the minimum monthly payments will be LOWER
Step-by-step explanation:
We can proof this by using hypothetical scenario below:
John has $1,500 with APR of 10% payable in 48 month equal instalment
Timmy has $1,500 with APR of 8% payable in 48 month equal instalment
Let us calculate monthly payment in each case
=pmt(rate,nper,-pv,fv)
rate is the monthly rate which APR/12
nper is 48
pv is the balance on the card which is $1,500
fv is the total monthly repayment which is unknown
John monthly payment=pmt(10%/12,48,-1500,0)=$38.04
Timmy monthly payment=pmt(8%/12,48,-1500,0)=$ 36.62
Since Timmy with a lower APR has a lower monthly payment, option B is correct
Convert the following sum into a product. cosx + cos3x + cos5x + cos7x
Answers
Answer:
[tex]4\cos x\cos (4x)\cos (2x)[/tex]
Step-by-step explanation:
Given: [tex]cosx + cos3x + cos5x + cos7x[/tex]
To convert: the given sum into product
Solution:
Use formula: [tex]\cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )[/tex]
[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ][/tex]
[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)[/tex]
Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie.
Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free.
Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per
movie to be equal at Service A or Service B?
OA 6
OB.
0
O c.
1
OD. 7
Answers
Answer:
6 is your answer :)
Susie leases a $13,000 car for three years. The estimated resell value at the end of the lease term is $7,683. The interest rate is 5.1%. Susie will pay on her lease monthly. What is the depreciation fee?
a) $43.95
b) $147.69
c) $249.53
d) $7,683.00
Answers
Answer:
The depreciation fee is the difference between the initial value of the car and its estimated resell value at the end of the lease term. In this case, the depreciation fee is $13,000 - $7,683 = $5,317.
To calculate the monthly payment on the lease, you would need to know the length of the lease in months, the interest rate, and the depreciation fee. You can then use the following formula to calculate the monthly payment:
Monthly payment = (Interest rate / 12) x (Initial value - Resell value) / Length of lease in months
For example, if the length of the lease is 36 months, the monthly payment would be:
Monthly payment = (5.1% / 12) x ($13,000 - $7,683) / 36 months = $114.78
Keep in mind that this is just an example calculation and the actual monthly payment on Susie's lease may be different depending on the specific terms of the lease agreement.
Step-by-step explanation:
If k, m, and n are all prime numbers, list all factors of k∙m∙n.
Answers
Answer:
Factors of kmn are 1, k, m, n, km, mn, kn and kmn
Step-by-step explanation:
Given: k, m, and n are prime numbers
To find: factors of k∙m∙n
Solution:
A number is said to be prime if it has exactly two factors: 1 and the number itself
x is said to be a factor of y if x can divide y exactly.
Here,
1 can divide kmn
k can divide kmn
m can divide kmn
n can divide kmn
km can divide kmn
kn can divide kmn
mn can divide kmn
kmn can divide kmn
So, factors of kmn are 1, k, m, n, km, mn, kn and kmn
Graph the equation y = 1/3x - 5
Answers
Answer:
(0,-5) (3,-4) (6,-3) draw a straight line through them all
Step-by-step explanation:
the -5 means it goes down on the y-axis by 5
the 1/3 means it goes up 1 and right 3
Answer:
(0,-5) (3,-4) (6,-3) draw straight line across them :)
Explain how to use a graph of the function f(x) to
find f(3).
Answers
Answer:
You would plug in the number 3 into both the F(x) and the x of the equation. By solving for x of your new equation, you would be able to find the value of f(3)!
Step-by-step explanation:
It took John 16 minutes to cook 8 eggs. How long would it take to cook 15 such eggs?
Answers
Answer:
30 minutes
Step-by-step explanation:
First, you need to find the amount of time it takes to cook one egg. To do this, you do 16/8 to get 2 minutes per egg. Then, since you need to cook 15 eggs, you do 15 times 2 to find the total amount of time to cook. You should get 30.
Standard Form:
Ax + By = C
Write a linear equation in slope-intercept form
with a slope of 1/2 and a y-intercept of -3
Answers
Answer:
y = (1/2)x - 3
Step-by-step explanation:
slope-intercept form: y =mx + b
m - slope,
b - y - intercept.
m = 1/2
b= - 3
y = (1/2)x - 3
I NEED TO QUICKLY PLS HELP ME PPLLSSSSS
AB, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
Find the measure of angle COD.Find the measure of angle BOC.
Find the measure of angle COD
Answers
Angle COD is 60 degrees
angle BOC is 80 degrees
Because angle DOE is vertically opposite to angle boa, it is also 40 degrees. we know that angle DOF is 120, so angle FOE is 120-40 = 80 degree, and angle BOC is vertically opposite do it is 80 degrees.
since angle COD lies on a straight line it adds up to 180 degrees, so 180- 120 = 60 degrees
what is the approximate area of the cirlle shown below
Answers
Answer:
43ft^2
Step-by-step explanation:
A=πr^2
A=π×3.7^2
A=π×13.69ft^2
A=43ft ^2
Plzz mark brianliest if it suit your question..
2x^3y^2 (3x^2 – 5xy + y^2)
Answers
Answer:
6x⁵y² -10x⁴y³+2x³y⁴
Step-by-step explanation:
2x³y²(3x² -5xy+y²)
6x⁵y² -10x⁴y³+2x³y⁴
Answer these questions.
What is the value of x, if 105% of 90 is equal to 200% of x?
Answers
x = (1.05*90)/2=47.25
Luke is flying a kite and realizes that 400 feet of string are out. The angle of the stream with the ground is 50°. How high is Luke’s kite above the ground
Answers
Answer:
Luke's kite is 306.4 feet high above the ground
Step-by-step explanation:
To find the height of Luke's kite above the ground, we will follow the steps below:
We can solve the problem using trigonometric ratio;
that is;
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ= adjacent/hypotenuse
tanФ=opposite/adjacent
From the diagram below:
opposite = x where x represents the height of Luke's kite above the ground
hypotenuse = 400
Ф = 50
The best trig ratio to use is sin
sinФ = opposite / hypotenuse
sin 50° = [tex]\frac{X}{400}[/tex]
cross-multiply
x = 400 sin 50°
x≈306 .4 feet
Luke's kite is 306.4 feet high above the ground
What is the numerator of the simplified sum?
Answers
Answer:
Maybe 4x+6 i'm not sure
Step-by-step explanation:
Answer:
It's 4x+6
Step-by-step explanation:
What is the value of the t that satisfies the equation below?
5(t + 2) - 3(2t + 1) = -2
1.
0
2.
-2
3.
9
4.
15
Answers
Solution,
5(t+2)-3(2t+1)=-2
or,5t+10-6t-3=-2
or,5t-6t+10-3=-2
or,-t+7=-2
or,-t=-2-7
or,-t=-9
t=9
Hope it helps
Good luck on your assignment
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]5(t + 2) - 3(2t + 1) = - 2 \\ 5t + 10 - 6t - 3 = - 2 \\ - t + 7 = - 2 \\ - t = - 2 - 7 \\ - t = - 9 \\ t = 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Katie and Tyler are working at their lemonade stand. They have sold 1/2 of a pitcher of lemonade and now have 1/3 of a pitcher left to sell.
What fraction of a pitcher of lemonade did they start with?
Answers
Answer:
5/6
Step-by-step explanation:
first you simplify the fractions into 6's. why, because 6 is the common denominator for these two fractions
1/2= 3/6
1/3= 2/6
now you add 2/6 plus 3/6
What are the solutions of x²-2x+2=0?
Answers
Answer:
A
Step-by-step explanation:
[tex]x^2-2x+2=0[/tex]
Plugging this into the quadratic formula:
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}=\dfrac{2\pm 2i}{2}= 1\pm i[/tex]
Therefore, the correct answer is choice A. Hope this helps!
If you spin the following spinners, what is the probability it lands on a vowel and an even number?
Answers
Answer:
1/5
Step-by-step explanation:
vowels are a,e,i,o,u
2/5 times 3/6
even numbers are 2,4,6
6/30= 1/5
Answer:
2/5 * 1/2 = 1/5
Step-by-step explanation:
The First Spinner there are 2 vowels out of the 5 making the first fraction 2/5
The Second Spinner has 3 even numbers making it 3/6.
With 3/6 we can simplify it to 1/2.
Then Multiply to determine the probability
Find the volume of the pyramid.
Answers
Answer:
7
Step-by-step explanation:
Formula=area of base x height / 3
A= ( 3 x 1 ) x 7 / 3
A= 3 x 7 / 3
A= 21 / 3
A= 7
PLEASE HELP FAST WILL MARK BRAINLYEST!!!.which choices are in the solution set of the equation below 10x=15 A. 2.5 B. 2 C.5 D. 3 E. 1 F. 1. 5
Answers
Answer:
F) 1.5
Step-by-step explanation:
10x = 15
Divide both sides by 10
10x/10 = 15/10
x = 1.5
Answer:
Option F
Step-by-step explanation:
=> 10x = 15
Dividing both sides by 10
=> x = 1.5
