Answer:
2.08
Step-by-step explanation:
[tex]sin^{-1} 4/5 = 53.13\\tan 53.13 = 1.33\\cot 53.13 = 0.75\\1.33 + 0.775 = 2.08[/tex]
Answer:
The answer is 2
Step-by-step explanation:
[tex]Cot(x)=\frac{1}{tan(x)} =\frac{Cos(x)}{Sin(x)}[/tex]
[tex]Tan(x) = \frac{Sin(x)}{Cos(x)}[/tex]
[tex]Cos(\frac{\pi }{2} -x)=sin(x)[/tex]
This means that
[tex]\frac{\cos \left(\frac{\pi }{2}-\frac{4}{5}\right)}{\sin \left(\frac{4}{5}\right)}+\frac{\sin \left(\frac{4}{5}\right)}{\cos \left(\frac{\pi }{2}-\frac{4}{5}\right)}[/tex]
This will be a long one to solve
-> apply cos identity to right side
[tex]\frac{\cos \left(\frac{\pi }{2}-\frac{4}{5}\right)}{\sin \left(\frac{4}{5}\right)}+\frac{\sin \left(\frac{4}{5}\right)}{\cos \left(\frac{\pi }{2}\right)\cos \left(\frac{4}{5}\right)+\sin \left(\frac{\pi }{2}\right)\sin \left(\frac{4}{5}\right)}[/tex]
-> simplify according to unit circle
[tex]\frac{\cos \left(\frac{\pi }{2}-\frac{4}{5}\right)}{\sin \left(\frac{4}{5}\right)}+1[/tex]
->apply cos identity again
[tex]\frac{\cos \left(\frac{\pi }{2}\right)\cos \left(\frac{4}{5}\right)+\sin \left(\frac{\pi }{2}\right)\sin \left(\frac{4}{5}\right)}{\sin \left(\frac{4}{5}\right)}+1[/tex]
If you apply for unit circle numbers,
you will get 2
I do not recommend using a calculator for these questions, but instead, turn the form into [tex]sin\frac{\pi }{2}[/tex] other base unit circle locations, and most likely this is the method that your teacher counts as "right."
when using a calculator, it tends to "round" the number, which result in a inaccurate answer
please solve the question in the picture
Answer with a step-by-step explanation:
Let us write answers to the questions using the given Venn diagram
1) 4 students
2) 3 students
3) 3 students
4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)
- More explanation is attached to the picture -
-9y- 10 = x
5x +6y = -11
Answer: x = -1 , y = -1
If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?
a)2
b)3
c)7
d) 12
Degree of f(x)=3
Degree of g(x)=2
Degree of h(x)=2
Degree of f(g(h(x)))
3(2)(2)12Option D
Answer:
d) 12
Step-by-step explanation:
Given functions:
[tex]f(x)=6x^3+5x[/tex]
[tex]g(x)=3x^2+5[/tex]
[tex]h(x)=9x^2-8[/tex]
As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:
[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]Therefore:
[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]
[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]
Therefore, the degree of f[g[h(x)]] is 12
find the value of x and y from the following
Step-by-step explanation:
due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.
in other words it is the supplementary angle to 150° at B.
that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).
so,
x = 180 - 150 = 30°
now, for the same principle,
x + y = 70
y = 70 - x = 70 - 30 = 40°
helpppppp what is the x！！！！！
Answer:
x=7
Step-by-step explanation:
95+65=160
There is 360 degrees total in a quadrilateral
360-160=200
(15x-5)+100=200
15x+95=200
Subtract 95 from both sides
15x=105
x=7
A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)
Answer:
The answer would be 14 cm
[tex]V = \frac{4pi(1.5)^3}{3}[/tex]
[tex]4.5pi = 14.3[/tex]
(pi = π)
Your welcome :)
Answer:
14 cm
Step-by-step explanation:
THE SIMPLE ANSWER
What is the length of the hypotenuse of the right triangle?
Answer:
scout is a group of noble youth
Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio to be as
large as the yard. Let A be the area of the patio, in square meters.
Which inequality represents the possible length of the patio?
A. √A> 25
B. √A < 25
C. √A> 625
D. √A < 625
The inequality that represents the possible length of the patio is √A < 625.
How to represent an inequality?Maddie's backyard is 25 meters by 25 meters.
Therefore,
area of the backyard = 25 × 25 = 625 m²
Hence,
She wants to put a square cement patio in her backyard.
A = area of the patio, in square meters.
Hence,
area of the backyard = 625 m²
Therefore, the inequality that represents the possible length of the patio is √A < 625.
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Help asap plss step by step maybe?
[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]
Please Help!!!
Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25^{\circ}
∘
. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
63.5 m from the ground
answer is 66.9 ft
top is the step by step explanation, hope it helps <3
URGENT
Find the area of the triangle. Round your answer to the nearest tenth.
A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.
The area of the triangle is about (blank) square units.
Answer:
hope you can understand
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .
Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.
PLATO
The point divides the line in the respective ratios. The correct matches are done.
What is division of line?When a point lies on the line such that is gets divided into the ratio is said to be the division of line.
The coordinates of point can be find out by the following formula.
x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n
For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.
Substituting the values, we get
-3.6 = 2x₂ +3x₁ / 2+3 and -3.4 = 2y₂ +3y₁ / 2+3
2x₂ +3x₁ = -18 and 2y₂ +3y₁ = -17
The above equations are satisfied by the points A(-2,-1) and B (-6,-7)
For, Point C(4, 1.6) divides in the ratio 3 : 2.
Substituting the values, we get
4 = 3x₂ +2x₁ / 2+3 and 1.6 = 3y₂ +2y₁ / 2+3
3x₂ +2x₁ = 20 and 3y₂ +2y₁ = 8
The above equations are not satisfied by any of the points.
For, Point C(3.5, -2.5) divides in the ratio 1 : 7.
Substituting the values, we get
3.5 = 1x₂ +7x₁ / 1+7 and 1.6 = y₂ +7y₁ /1+7
x₂ +7x₁ = 28 and y₂ +7y₁ = -20
The above equations are not satisfied by any of the points.
For, Point C(8, 9) divides in the ratio 5 : 3.
Substituting the values, we get
8 = 5x₂ +3x₁ /5+3 and 9 = 5y₂ +3y₁ /5+3
5x₂ +3x₁ =64 and 5y₂ +3y₁ = 72
The above equations are satisfied by the points A (3,4) and B(11, 12).
For, Point C(-2, 5) divides in the ratio 2 : 6.
Substituting the values, we get
-2 = 2x₂ +6x₁ /2+6 and 5 = 2y₂ +6y₁ /2+6
2x₂ +6x₁ =-16 and 2y₂ +6y₁ = 40
The above equations are satisfied by the points A (-5,2) and B(7,14).
For, Point C(0,1) divides in the ratio 4 : 7.
Substituting the values, we get
0 = 4x₂ +7x₁ /4+7 and 1= 4y₂ +7y₁ /4+7
4x₂ +7x₁ = 0 and 4y₂ +7y₁ = 11
The above equations are satisfied by the points A (4,-3) and B(-7,8).
Thus, all the equations are joined with their satisfying points.
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find the area of the shaded part.
Answer:
Step-by-step explanation:
For part a :
The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :
C = 2×π×r = 2×π×8 = 16π
For part b :
The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :
A = π×r² = π×8² = 64π
For part c :
The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so
D = 2r = 2×8 = 16
So the area of the square will equal :
A = 16² = 256
Hope this helped and brainliest and hearts please.
I'm on my road to genius rank
3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.
Answer:
Step-by-step explanation:
area off reg 1
10 x 25 = 250
area of reg 2
45 x 13 = 585
total surface area
585 + 250 = 835ft^2
835ft^2 x $0.55 = $459.25
43,57,98,67,87 mean med mode renge
Answer:
mean: 70.4median: 67mode: no moderange: 55Step-by-step explanation:
The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.
__
Sorted into increasing order, the numbers are ...
43, 57, 67, 87, 98
meanThe total of these values is
43 +57 +67 +87 +98 = 352
The mean is this sum divided by the number of contributors:
mean = 352/5 = 70.4
__
medianThe median of the 5 numbers is the middle (3rd) one:
median = 67
__
modeThe mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.
mode: none
__
rangeThe range is the difference between the highest and lowest values:
range = 98 -43
range = 55
Which of the following are exterior angles? Check all that apply.
6
5/4
1
2
Answer:
E and FStep-by-step explanation:
Definition of exterior angle:The angle between a side of a polygon and an extended adjacent side.According to definition, angles 4 and 2 are exterior angles.
The matching answer choices are E and F
HELP ME OUT peps correct answers only
Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
What is the Subtraction Property of Equality?In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.
To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.
If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.
The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
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Solve for x.
←2x+6
X+9
x = [?]
Answer:
3
Step-by-step explanation:
A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3
WILL GIVE BRAINLISEST AND 60 POINTS !!!!
Question 5(Multiple Choice Worth 4 points)
(04.04)
Which graph represents a linear function?
Answer:
3rd one
Step-by-step explanation:
it is the only one with a function and a straight line
Nicole is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $1.50 per movie watched. Plan B costs $12 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Nicole watches xx per month, and let BB represent the monthly cost of Plan B if Nicole watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
Answer:
Plan B
Step-by-step explanation:
If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A
but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B
Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).
By applying the law of sines, the length of side PQ is equal to 7.1 units.
What is the law of sines?The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
How to calculate the length of PQ?Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Substituting the given parameters into the formula, we have;
[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]
PQ = 7.1 units.
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How to solve a equation using elemination method
Answer:
Below.
Step-by-step explanation:
I assume you are referring to a system of equations.
Example:
2x - y = 4
x + y = 5
If we add these 2 equations then the y is eliminated because -y + y = 0:-
3x + 0 = 9
x = 3
Now we plug x = 3 into the first equation to find y:
2(3) - y = 4
-y = 4 - 6 = -2
y = 2.
If we cannot eliminate one of the variables we multiply one of the equations so that one of the variables so that it can be eliminated.
For example:
2x - 3y = 5 A
x + y = 6 B
We multiply the second equation B by 3 so that when we add -3y + 3y gets eliminated:
3x + 3y = 18
- so adding this to equation A
5x + 0 = 23.
In some cases we may have to multiply both equations by different values to get terms that can be eliminated.
Solve for the exact value of x.
Answer:
x = 4
Step-by-step explanation:
PLEASE SOLVE I WILL MARK BRAINLIEST HURRY PLEASE
Applying the Pythagorean theorem, the missing lengths in the right triangles are:
1. √19 ≈ 4.4
2. √96 ≈ 9.8
3. √60 ≈ 7.7
4. √231 ≈ 15.2
5. √21 ≈ 4.6
6. √24 ≈ 4.9
What is the Pythagorean Theorem?The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.
1. missing leg = √(10² - 9²) = √19 ≈ 4.4
2. missing leg = √(11² - 5²) = √96 ≈ 9.8
3. missing leg = √(8² - 2²) = √60 ≈ 7.7
4. missing leg = √(16² - 5²) = √231 ≈ 15.2
5. missing leg = √(5² - 2²) = √21 ≈ 4.6
6. missing leg = √(7² - 5²) = √24 ≈ 4.9
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Write 1/3 as a recurring decimal.
Convert 0.45 to a fraction.
Answer:
.33333333... 45/100
Step-by-step explanation:
1/3 as a reoccurring decimal would be 0.3333333......
.45 as a fraction is simply 45/100
give brainiest please!
hope this helps :)
4(a2 + 2b) - 2b when a = 2 and b = –2.
Answer:
4
Keys:
[tex]a \cdot (-b) = -a \cdot b[/tex][tex]-\left(-a\right)=+a[/tex]Step-by-step explanation:
[tex]4\left(\left(2\right)\cdot \:2+2\left(-2\right)\right)-2\left(-2\right)\\\left(2\right)\cdot \:2+2\left(-2\right)\\=4+2\left(-2\right)\\=4-4\\=0[/tex]
[tex]=4\cdot \:0-2\left(-2\right)\\4\cdot \:0\\=0\\=0-2\left(-2\right)[/tex]
[tex]2\left(-2\right)\\=-4\\=0-\left(-4\right)[/tex]
[tex]0-\left(-4\right)\\=0+4\\=4[/tex]
Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.
The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.
Using the probability concept, it is found that the correct statements are given as follows:
The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are eight letters, two of which are vowels and six of which are consonants.
Hence:
P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.
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Answer:
A, C, E
Step-by-step explanation:
The correct answers are A C E
or if you want to be more specific
A: The number of possible outcomes is 8.
C: P(vowel)=1/4
E: Choosing one letter at random is a simple event.
I got it right on Edge22
Omar paid $8.64 for 5.4 pounds of grapes. what was the cost of 1 pound of grapes?
What is the relationship between the number of sides of the base of a prism and the number of lateral faces?
A . The number of sides of the base of a prism is less than the number of lateral faces. B. The number of sides of the base of a prism and the number of lateral faces is equal. C. The number of sides of the base of a prism is greater than the number of lateral faces.
C . There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
Answer: The number of sides of the base of a prism and the number of lateral faces is equal.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge exam
Select the correct answer.
The figure shows a vertical cross section of a sphere inscribed in a right cone.
A vertical cross section of a sphere inside a cone has a radius labeled lowercase r. The height of the cone is 12 centimeters. The half-length of the face of the cone is 5 centimeters.
Find the volume of the sphere in terms of π.
The volume of the sphere will be 49π cubic cm. Then the correct option is C.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The figure shows a vertical cross-section of a sphere inscribed in a right cone.
A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.
Then the volume of the sphere will be
In ΔADF, we have
tan a = 5 / 12
a = 22.61°
Then in triangle ΔABC, we have
sin 22.61° = r / (12 - r)
0.38 = r / (12 - r)
4.62 - 0.38r = r
1.38r = 4.62
r = 3.34 cm
Then the volume of the sphere will be
V = 4/3 π(3.34)³
V = 49π cubic cm
Then the correct option is C.
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Answer:
49cm
Step-by-step explanation:
49cm i got it right on edmentum