To find the cos(40°), you can use the trigonometric identity sin²θ + cos²θ = 1. Since 50° and 40° are close angles, you can approximate the cos(40°) as 0.6393.
Explanation:To find the cos(40°), we can use the trigonometric identity
sin²θ + cos²θ = 1.
Since we know that sin(50°) = 0.77, we can square this value to find the cos²(50°):
cos²(50°) = 1 - sin²(50°) = 1 - 0.77²
Simplifying, we get cos²(50°) ≈ 0.4089. Since cosine is positive in the first and fourth quadrants, the positive square root of this value gives us the cos(50°) ≈ 0.6393.
Therefore, we can approximate the cos(40°) as 0.6393 as well, since these are close angles.
Ayana and Tabitha recorded the amount of time spent on homework on ten school days. Graphs of their data are shown
yana's Time Spent on Homework
Tabitha's Time Spent on Homework
Which best explains who spends more time on homework?
Ayana, because she has a higher maximum time spent
Ayana, because she has more variability in her time spent
Tabitha, because she has a higher median time spent
Tabitha becauca che hae more
in her timo enant
plz help now!!!!!!
Answer:
c
Step-by-step explanation:
trust memememememme its right i know the pain of e d g e. its sad
The rectangle shown has length AC = 32, width
AE = 20, and B and F are midpoints of AC and AE , respectively. The area of quadrilateral ABDF is:
A. 320 B. 325 C. 330 D. 335 E. 340
Answer:
A. 320
Step-by-step explanation:
See attachment for the figure
in order to determine Area of quadrilateral ABDF, we'll use the formula i.e
Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)
whereas, area of AECD = (AC × AE)
Area of ΔBCD = 1/2 (BC x CD)
Area of ΔDEF =1/2 ( EF x ED)
Substituting in eq(1)
eq(1)=>
Area of quadrilateral ABDF = (AC × AE) - 1/2 (BC x CD)- 1/2 ( EF x ED)
=(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)
= 640 - 160 - 160
= 640 - 320
= 320 square unit
Therefore, the area of quadrilateral ABDF is 320 square unit
Point W is located on QR so that
QW
What are the coordinates of Point W?
(3.3)
016.12.6./2)
. 9.9)
02.12.212)
O
Type here to search
EL
SND
A.
400
This question was incomplete. Here is the complete question:
Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W?
The picture of the question is attached herewith.
Answer:
The coordinates of W will be (9, 9)
Step-by-step explanation:
This question can be solved using the concept of similar triangles. In similar Triangles the ratio of the LENGTHS of their corresponding sides is equal.
So firstly we will complete the triangle by drawing a horizontal and vertical line joining at P. The coordinates of P will be (11, 3). The length QP will be 8 units. The length PR will be 8 units as well. This has been drawn for you in the diagram attache.
Next we will mark any point on line QR as W. The distance of W from Q is taken as x and the vertical distance of W from QP is taken as y.
Now using the similar triangle ratio rule.
The side represented by x is corresponding to side QP so:
x/8 = 3/4
x = 6
Similarly the side represented by y is corresponding to side PR.
y/8 = 3/4
y = 6
Adding these lengths with the starting coordinate of Q(3, 3) to find the value of coordinates of W.
So 3+6 = 9 is the x coordinate of W and
3 + 6 = 9, is the y coordinate of W
W = (9, 9) ANS
Which is the most reasonable estimate for 30% of 72?
A good estimate for 30% of 72 is 24, calculated by finding one-third of 72 or multiplying 10% of 72 by 3. This provides a reasonably close value quickly and without needing a calculator.
Estimating 30% of 72
To find a reasonable estimate for 30% of 72, we can use mental math to simplify the calculation. 30% is close to one-third, and for an estimate, one-third of 72 can be found by dividing 72 by 3, which gives us 24. Thus, a reasonable estimate for 30% of 72 is approximately 24. This is not an exact calculation, but it's a quick way to get a rough estimate that is easy to handle and useful for making plans that do not require precise amounts.
It's important to note that while certain percentages are easier to compute, such as 10% (simply move the decimal point one place to the left), 30% can be estimated by finding 10% of the number and then multiplying that by 3. Here, 10% of 72 is 7.2, and multiplying that by 3 gives 21.6, which rounds up to 22, slightly lower than our one-third estimate of 24.
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Part A
A.The opening is not a rectangle.
B.The opening is a rectangle.
Part B
AC= __in
BD= __in
The opening is a rectangle. The length of diagonal AC can be found using the Pythagorean theorem using the lengths of AB and BC. The length of diagonal BD can be found using the Pythagorean theorem using the lengths of BC and CD.
Explanation:To determine if the opening is a rectangle, we need to compare the lengths of the opposite sides. If the lengths are equal, then it is a rectangle. In the diagram, we can see that AB and CD are equal, as well as AD and BC. Therefore, the opening is a rectangle.
To find the length of the diagonals, we can use the Pythagorean theorem. The diagonal AC is the hypotenuse of triangle ABC, and the diagonal BD is the hypotenuse of triangle BCD. We can calculate the lengths as follows:
AC = √(AB2 + BC2)
BD = √(BC2 + CD2)
Learn more about Rectangle here:https://brainly.com/question/15019502
#SPJ12
Find the circumference of the circle. Use 3.14 for π. Round to the nearest tenth if necessary.
A.
34.8 cm
C.
32.1 cm
B.
21.7 cm
D.
28.3 cm
Answer: D
Step-by-step explanation:
Multiply 2 times 3.14 times the radius, which is half the diameter. So divide 9 in half to get 4.5 as the radius. 2 times 3.14 times 4.5 equals 28.29. Round up to the nearest tenth equaling 28.3.
Find the length of AC.
Answer:
21√2 m
Step-by-step explanation:
AC = √AD²+CD²
= √21²+21²
=√2×21²
= 21√2 m
Answer:
I think its 42 maybe? I'm maybe wrong though.
Solve the equation for y: -3y - 2 = 10
The answer is 7 but does anyone know how to show the work ?
Answer:
uhh sorry man no can do
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
An inscribed angle represents half of its intercepting arc. So what I did was add [tex]19x + 13[/tex] and [tex]90[/tex] which comes to [tex]19x + 103[/tex]
Angle Q would be half of [tex]19x + 103[/tex].
[tex]Q = \frac{19x +103}{2}[/tex]
The opposite of Q is [tex]7x + 13[/tex].
I will call this angle "y" just to explain.
y + Q = 180
This means we just have to plug everything in.
[tex]7x + 13 +\frac{19x + 103}{2} = 180[/tex]
Solve for x.
[tex]7x +\frac{19x + 103}{2} = 167[/tex]
[tex]2(7x +\frac{19x + 103}{2}) = (167)2[/tex]
[tex]14x +19x +103 = 334[/tex]
[tex]33x = 231[/tex]
[tex]x = 7[/tex]
I haven't done geometry is forever so I really hope this makes sense and it helped you! :)
PLEASE HELP
Brianlist will be marked
Randy left town on his bicycle, traveling
at an average of 16 miles per hour. Four
hours later, his older brother, Jimmy, went
looking for Randy on his motorcycle. Jimmy
traveled at an average of 48 miles per hour.
How long would it take Jimmy to catch up
to Randy?
Answer:
One hour and 20 minutes.
Step-by-step explanation:
Answer:
1 hour and 20 min. or 1 hour and 30 min
(This is a very confusing thing for me that's why it's either those 2)
Chad ran a red light and hit another car. He decided to file a claim for damage
to his vehicle. Which deductible would he have to pay before he receives a
payment from the insurance company?
A. Comprehensive
B. Premium
C. Collision
D. He would not have to pay any deductible because he was not at
fault.
Answer:
Comprehensive deductible
Step-by-step explanation:
There is nothing called Premium deductible rather deductible determines how higher of lower a premium on a subject matter of insurance can be. Deductible is the amount with the insured have to bear at loss and any excess above the loss will be compensated by the insurance company.
Comprehensive deductible is the application to only to comprehensive insurance which was what Chad had on his motor vehicle. Comprehensive insurance covers majority of peril that happens to the insured vehicle. Therefore, comprehensive deductible is the deductible Chad has to bear himself before the insurance company take other losses upon theirself..
If he had $500 deductible on his car and total repair cost $700, then he will bear the $500 while the insurance company is entitled to pay only $200 as per policy statement.
Answer:collision
Step-by-step explanation:
Apples are on sale for \$3.12$3.12dollar sign, 3, point, 12 per kilogram. Is the total cost of the apples proportional to the total mass?
I need the answer asap
Answer:
yes 3
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Cost = 3.12 × n
Where n is the no. of kgs
The diameter of a circle is 24 centimeters. What is the circle's area?
Answer:
The diameter is 24 so the radius is 12 then we do pi*r^2 or pi*12^2
We can use our numbers and get pi*144 so the area of the circle is 144pi.
If they have given you what pi is
EX:( 22/7 or 3.14)
Just use that instead of pi and multiply 144 to that
Ms. Wilson studied her biology students' homework and test scores. She found that students who completed more homework did not
to earn higher or lower scores on the test. What should she conclude?
A. There is no correlation
B. There is correlation, and probably also causation
C. There us a correlation, but may or may not be causation
Answer:
The Answer is the Number 2,
I mean Point #2!
I Hope this WORKS! 100%
Question 5 (5 points)
(08.03 LC)
Determine the factors of x2 – 8x – 12. (5 points)
(X-6)(x + 2)
(x + 3)(x – 4)
Prime
(x + 6)(x - 2)
Answer:
[tex](x-9.291)\cdot (x + 1.292)[/tex]
Step-by-step explanation:
The factors of the given polynomial ([tex]x^{2}-8\cdot x - 12[/tex]) are derived from the General Formula for Second-Order Polynomials:
[tex]x = \frac{8 \pm \sqrt{64 - 4\cdot (1)\cdot (-12)}}{2\cdot (1)}[/tex]
[tex]x_{1} \approx 9.291[/tex] and [tex]x_{2} \approx -1.292[/tex]
The factors of the polynomial are:
[tex](x-9.291)\cdot (x + 1.292)[/tex]
Answer:
The answer is prime.
Step-by-step explanation:
x2 – 8x – 12
We need two numbers which are factors of 12 such that their product is -12 and their sum is -8. The factors are 1, 2, 3, 4 and 6 but no two numbers satisfy the requirements of summing up to -8 and product of -12.
Therefore the equation is a prime as it has no factor
We can also check if the equation has a factor using the formula for general quadratic equation of ax² + bx + c = 0, the formula is;
(b² - 4ac)
If the answer is a perfect square only then we can factorize the equation.
In the given equation x² - 8x - 12
b = -8 and c = -12
b²- 4ac = (-8)² - 4(1)(-12) = 64 + 48 = 112
Since 112 is not a perfect square number, we can say there is no factors for the given equation.
Which of these numbers is in the solution set of x + 5 = 15? A. 10 B. 3 C. 20 D. 11
Answer:
A
Step-by-step explanation:
10 + 5 = 15
Answer: A
Step-by-step explanation:
x+5=15
-5 -5
x=10
Please help! I will mark you as brainliest!
Step-by-step explanation:
as we know that the power will be multiplied then
[tex] ({5}^{3} ) ^{6} [/tex]
[tex] {5}^{18} [/tex]
Hope it will help :)
Ac is tangent to circle at point c what is the measure of oac?
Answer: 27 degrees
Step-by-step explanation: 180-90 because its perpendicular -63=27
The high school is renovating its rectangular swimming pool. Tiles will cover the bottom of the
75 feet by 30 feet pool. They will not cover the 10 feet by 8 feet rectangular logo in the center of
the floor. Determine the area of the pool floor that needs tiles.
Answer:
2170 feet squared
Step-by-step explanation:
(75 feet × 30 feet) - (10 feet × 8 feet) = 2170 feet squared
The slope of a line that is perpendicular to a line whose slope is 3/8 is
О -8/3
o 3/8
оо
Answer:
-8/3
Step-by-step explanation:
We know that lines that are perpendicular have slopes that multiply to -1
m1 * m2 = -1
We know one slope is 3/8 and are looking for the perpendicular slope m2
3/8 * m2 = -1
Multiply each side by 8/3 to find m2
3/8*8/3 *m2 = -1*8/3
m2 = -8/3
15 is 6% of what number?
Answer:
250
Step-by-step explanation:
If 15 is 6% multiplying it by 16.66666666666667 will make it 100%
15 x 16.66666666666667 = 250
Another way to do this is divide by 6 and multiply by 100
1: Look at the two inequalities above. What value of x makes both inequalities true?
Answer:5
Step-by-step explanation:
5*3+2=17
10-5=<7
What are the exact solutions of x^2 − 3x − 7 = 0?
Given:
The given equation is [tex]x^{2} -3x-7=0[/tex]
We need to determine the exact solutions of the equation.
Exact solution:
The exact solution of the equation can be determined by solving the equation using quadratic formula,
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
From the equation the values are a = 1, b = -3 and c = -7
Thus, substituting these values in the equation, we get;
[tex]x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}[/tex]
[tex]x=\frac{3 \pm \sqrt{9+28}}{2}[/tex]
[tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]
Thus, the exact solutions of the given equation is [tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]
Hence, Option A is the correct answer.
where is the maximum value for this quadratic function?
A) (1, 0)
B) (0, 3)
C) (–1, 4)
D) (–3, 0)
Answer:
The answer is C) (-1,4) ;)
Step-by-step explanation:
Find the distance between the two points. Round to the nearest tenth if necessary.
(–2, –1) and (3, 5)
a
3.6
b
7.8
c
4.1
d
2.2
Answer:
the answer to the nearest tenths is 7.8
Answer:
your answer is B
Step-by-step explanation:
In the diagram of circle A, what is the measure of _XYZ?
35 70 75 140
Answer:
First Option is correct.
Step-by-step explanation:
Since we have given that
Measure of arc WZ = 175°
Measure of ∠XAZ = 105°
We need to find the measure of ∠XYZ.
As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.
Hence, the value of ∠XYZ is 35°.
Hence, First Option is correct.
Answer:
35°
Step-by-step explanation:
You are
feet above the ground.
A circular carnival ride has a diameter of 120 ft. Suppose you board a gondola
at the bottom of the circular ride, which is 6 ft above the ground, and rotate
240° counterclockwise before the ride temporarily stops. How many feet
above ground are you when the ride stops?
stopping
position
starting position
(0,0)
Answer:
36 feet
Step-by-step explanation:
The diameter is 120 ft, which means the radius is 60 ft.
240° counterclockwise from the bottom of the circle is a standard angle of 150°.
The vertical position is therefore:
y = 6 + 60 sin 150°
y = 36
Answer: 96
Step-by-step explanation:
find how long it takes (in seconds) for a car to travel when the car is going a speed of 20mph on a 100 foot track.
Answer:
3.4 seconds
Step-by-step explanation:
First, you have to change 20mph to feet per seconds. To do this, multiply mphs by 1.4667. When you multiply 20mph by 1.4667, you get 29.3333 fps.
Divide 100 by 29.333 to get 3.40909478 (3.4) seconds
Answer:
3.41 sec
Step-by-step explanation:
We need to use the formula: [tex]d=rt[/tex] , where r is the rate of the object, t is the time, and d is the distance.
Here, we know that the distance is 100 ft and that the rate is 20 mph. However, let's change the distance to miles because the rate is in miles.
There are 5280 ft in 1 mile, so:
5280/1 = 100/x ⇒ x = 100/5280
Then, d = 100/5280 miles and r = 20. Plug these in to find t:
100/5280 = 20t
t = (100/5280) / 20 hours
Now, we need to convert hours to seconds. There are 3600 seconds in 1 hour, so multiply our current t by 3600:
t = [(100/5280) / 20] * 3600 ≈ 3.41 sec
Hope this helps!
Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.
What is Stefan’s annual premium?
Explain how you found your answer and show all work for full credit.
Answer:
total annual cost = $682.50
Step-by-step explanation:
given data
Stefan age = 36 year
bought amount = $150,000
policy time period = 10 year
solution
we get here Stefan’s annual premium so here
policy for 10 year cost = $4.55 per thousand dollars
as given in attachment data
total amount of thousands of coverage will be
amount of thousands of coverage = [tex]\frac{150,000}{1,000}[/tex] = 150
and
total annual cost = 150 × $4.55
total annual cost = $682.50
In the first example's answer, y is
raised to the power
Answer:
wait, what the question? y is raised to what?
Step-by-step explanation: