Answer:
pi
Step-by-step explanation:
First solve the integral
[tex]\int\ {(1+ cos x} )\, dx[/tex]
[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]
[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]
x + sin x
Now consider the limit from 0 to π
[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]
(π +sin π) -(0 +sin 0)
sin π = 0 and sin 0 = 0
π-0
π
Answer:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]
Remember your antiderivatives!
What is the volume of the figure?
Answer:
341.25
Step-by-step explanation:
You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.
Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).
For each value of v, determine whether it is a solution to -6(v+4)=-6
Answer:
v = -3
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify given.
-6(v + 4) = -6
Step 2: Solve for v
[Division Property of Equality] Divide -6 on both sides:∴ the value of v is equal to -3.
---
Learn more about Algebra I: https://brainly.com/question/27710668
---
Topic: Algebra I
HELP NOW PLESAE
WHat is m
An inscribed angle (like angle RTS) is half its intercepted arc.
Angle RTS = 51
Then, we just have a triangle to look at. Remember that the interior angles of a triangle add up to 180.
67 + 51 + x = 180
118 + x = 180
x = 62
Answer: angle RST = 62 degrees
Hope this helps!
What did you notice about both of your triangles
Answer:
they look similar but one of them is upside down.
What number goes in the blank?
10, 25, 5, or 0
Answer:
25
Step-by-step explanation:
(x+5)(x+5) = x^2 + 10x + 25
Answer:
25
Step-by-step explanation:
The number that goes in the blank is 25.
The constant must have two factors that multiply to equal the constant and add to equal the coefficient.
What is factorisation?
It is also called Middle Term Splitting
Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).
It is writing an expression as a product of 2 or more factors
Answer:
factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.
Step-by-step explanation
3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
8.9r-(-5s-10)
Answer:
8.9r + (5s + 10)
actually the parenthesis aren't necessary...
8.9r + 5s + 10
Step-by-step explanation:
You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"
8.9r - (-5s - 10)
= 8.9r + (+5s + 10)
= 8.9r + (5s + 10)
= 8.9r + 5s + 10
Can someone help me I dont know what to do
Step-by-step explanation:
1. find P of semicircle
perimeter of a semicircle = pi×r+d
=3.14×5+10
=25.7
2.find P of rectangle
P=10×4=40cm
3. add P of semicircle and P of rectangle
25.7+40=65.7cm
Show work pleaseeeee
Answer:
[tex]volume \: = 1130.4 {m}^{3} [/tex]
Step-by-step explanation:
The formula to find the volume of a cylinder is:
[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]
Note that the radius is half the diameter (12), therefore the radius is 6*
According to the diagram we know that:
[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]
help 30 points for all ansers
The answers to the problem are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles.
c) ∠BST and ∠RSB are complementary angles.
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY.
Types of AnglesAngles are formed when two lines meet and they are of different types.
acute: this is an angle less than 90°
obtuse: this angle is greater than 90° but less than 180°
reflex: this angle is greater than 180° but less than 360°
Analysis:
∠BRS = 180 - (20X - 22) = 202 - 20X
a) To find x, sum of angles in the triangle = 202-20x + 2x+32 + 5x+10 + 120-10x = 180
364 -23x = 180
23x = 364-180
23x = 184
x = 8
b) ∠ZRB = 20x-22 = 20(8) - 22 = 138°
∠BTS = 2x+32 = 2(8)+32 = 48°
138°+48° = 186° [tex]\neq[/tex] 180°
They are not supplementary
c) ∠BST = 120-10X = 120 - 10(8) = 40°
∠RSB = 5x+10 = 5(8)+10 = 50°
50+40 = 90°. They are complementary
d) ∠ABT = 180 - ∠ABR = 180 - 100 - x = 88°
It is acute since it is less than 90°
e) SA is not an angle bisector, since it dived the angles as 40° and 50° and not equal.
In conclusion, the solution to the questions are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles
c) ∠BST and ∠RSB are complementary angles
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY
Learn more about angles: brainly.com/question/25716982
#SPJ1
Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join
The amount of sheet metal needed to form the conical funnel is 5525 cm²
How to determine the amount of sheet?The given parameters are:
Radius, r = 30 cmVertical height, h = 50 cmOverlap = 0.5 cmStart by calculating the slant height (l) of the cone using:
l = √(r² + h²)
This gives
l = √(30² + 50²)
Evaluate
l = 58.31
The lateral surface area of the conical funnel including the overlap is then calculated as:
A = πrl + Overlap * l
This gives
A = 3.142 * 30 * 58.31 + 0.5 * 58.31
Evaluate
A = 5525.4556
Approximate
A = 5525
Hence. the amount of sheet metal needed is 5525 cm²
Read more about surface areas at:
https://brainly.com/question/6613758
#SPJ4
14. A store was selling packs of paper for $1.82 a pack. Rosa spent $12.74 on the
packs of paper.
a. Write an equation to find the number of packs of paper, p. Rosa bought.
Answer:
she bought 7 packs of paper
Step-by-step explanation:
12.74/p = 7
In triangle abc, measure of angle a = 90 degrees and line an is an altitude. if ab = 20 in. and ac = 15 in., find bc, bn, nc, an
Answer:
BC = 25 in
AN = 12 in
BN = 16 in
NC = 9 in
Formulas:
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Area of triangle
[tex]A = \frac{1}{2}bh[/tex]
A ... area of triangle
b ... base (one of the sides of the triangle)
h ... height perpendicular to base
Step-by-step explanation:
Given:
A = 90°
AB = 20 in
AC = 15 in
See attached picture.
1) BC
To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.
[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]
2) AN
AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.
Notice how AB is perpendicular to AC. We can use AB as base and AC as height.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]
Now that we have area, we can use BC as base and AN as height and solve for AN.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]
3) BN
Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.
[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]
4) NC
We know the lengths of BC an BN, so we can just subtract.
[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]
Classify as acute, obtuse, or right.
6, 9, 12
Answer:
If the angles are 9 degrees 6 degrees and 12 degrees it is acute
Step-by-step explanation:
The sales tax rate is 10%. If Matt buys a computer keyboard priced at $34, how much tax
will he pay?
Answer:
$3.40
Step-by-step explanation:
10% of $34
= [tex]\frac{10}{100}[/tex] × $34
= 0.1 × $34
=$3.40
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
standings The first-place finisher wins half of $1.500.000 in total prize money. The second-place finisher wins half of
what is left then the third-place finisher wins half of that, and so on.
al Write a rulle to calculate the actual prize money in dollars won by the player finishing in nth place, for any positive
b) What type of relationship exists between the two variables?
Using geometric sequence concepts, it is found that:
a) The rule is: [tex]P_n = 750000(0.5)^{n-1}[/tex].
b) An exponential relationship exists between the two variables.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
[tex]a_1 = 750000, q = 0.5[/tex].
Hence the nth term of the sequence is given by:
[tex]P_n = 750000(0.5)^{n-1}[/tex]
More can be learned about geometric sequence concepts at https://brainly.com/question/11847927
#SPJ1
GIVING BRAINLIEST!!!!!
flip over the line, then slide up
in the figure below lines p and q are parallel. what do you notice?
Answer:
Corresponding
Step-by-step explanation:
So, we know that 1&2, 3&4, 5&6, and 7&8 all equal 180 degrees in their pairs. 7&3 are corresponding angles that are less than 90 degrees on their own. We don't know the degrees of each angle, so we can't say their exact angle.
(I know I didn't give the second answer, if you elaborate, maybe I can understand what it's asking better)
Hope this helped!
Answer:
-> Corresponding
-> Are equal
Explanation:
First, we will find where angles 3 and 7 are at. See attached. Since they are in corresponding places on both lines, these angles are corresponding angles.
We know that corresponding angles have the same measurement, so their measures will be equal, or in other words, congruent.
I have four marble, One red,Oneblue,OneGreen,Oneyellos.Without replacing the first marble, you choose a second marble. What is the probalility of choosing red and then green?
Answer:
1/8 or 12.5 percent
Step-by-step explanation:
So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!
Hope this helps!
In a unit circle, 0 = 270°. Identify the terminal point and sin 0.
Answer:
terminal point is at (0, -1) and sin 0 = -1
Step-by-step explanation:
In a unit circle the radius of the circle is 1 so
- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.
(1, 0) where we start on the positive x-axis and where angle is 0°
(0, 1) where we go counterclockwise and where angle is 90°
(-1, 0) where we go continue counterclockwise and where angle is 180°
(0, -1) where we stop in our problem because the angle is 270°
-we also know that x= cos O and y= sin O so the coordinates (x, y) are really
(cos O, sinO)
Given:
0 = 270°
sin 0 = sin 270°
sin 270° = -1
The terminal point is at (0, -1) and sin 0 = -1
(pls give the answer and working out)
simplify fully:
Answer:
As you wish love, 2sqrt x 3sqrt8 = 12sqrt6
Step-by-step explanation:
2sqrt3x3sqrt8
Simplify,
2sqrt3 x 3 x 2sqrt2
Evalutate,
12sqrt6
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
about 4 or 8
Step-by-step explanation:
Answer: 4 schools
Step-by-step explanation:
What is the intensity of a 70-db sound? the threshold of human hearing is 1.0 × 10 -12 w/m 2.
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
How to determine the intensity of a 70-dB sound
The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:
L = 10 · ㏒ (I/I')
Where:
I - Intensity, in watts per cubic meter.I' - Sound intensity reference, in watts per cubic meter.If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:
70 = 10 · ㏒ (I/10⁻¹²)
10⁷ = l/10⁻¹²
I = 10⁻⁵ W/m²
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
To learn more on sounds: https://brainly.com/question/14595927
#SPJ4
Change 36.2% to a fraction.
Answer:
Step-by-step explanation:
Conversion
A % can always be changed into a decimal by dividing by one hundred. In this case
decimal = 36.2/100 = 0.262 \\
Answer: 0.262
Answer:
181/500
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE HELL .
An online clothing store has 4 sweaters for every 5 T-shirts. Which table below represents this relationship?
Answer:
B
Step-by-step explanation:
Do the math
5x1 is 5
4x1 is 4
35÷7 is 5
28÷7 is 4
Hope this helps
Answer:
The second table.
Step-by-step explanation:
4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.
20. Which formula would you use to calculate the floor space of Firm 3's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation)
The formula would you use to calculate the floor space of Firm 3's structure is πr²h.
How to depict the formula?It should be noted that the formula that can be used on this scenario will be:
= πr²h
where,
h = 60
r = 70/2 = 35
The volume will be:
= πr²h
= 3.14 × 35² × 60
= 230790 feet ³
Learn more about volume on:
brainly.com/question/1972490
#SPJ1
what is the rule for 2;13;26;32?
Answer:
sequence
Step-by-step explanation:
Which of the following functions would best model the progression of the points in the scatter plot?
A: a quadratic function
B: a linear function
C: a square root function
D: an exponential function
The function that would best model the progression of points in the given scatter plot is: D. an exponential function.
What is an Exponential Function?If a function is an exponential function, as the x-value increases, the value of y approaches infinity, or as x-value decreases, the value of y approaches 0.
The graph given is a typical example of how an exponential function graph behaves.
Therefore, the best model for the progression of points is: D. an exponential function.
Learn more about exponential function on:
https://brainly.com/question/2456547
#SPJ1
m = − 1 6 , (6, −3) y =
5
6
x + 3
Answer:
6
Step-by-step explanation:
that is because 6 is x and y is -3
Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?