Answer:
its c
Step-by-step explanation:
cause this dude think u gonna open a word link^^^^
Answer:
c) One-third(5.2)h cm3
Step-by-step explanation:
edge 2023
15
9
determine the value
coso
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
Please help. Thank you
Given:
[tex]PQRS\sim TUVW[/tex]
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
[tex]PQRS\sim TUVW[/tex]
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
[tex]k=\dfrac{VW}{RS}[/tex]
[tex]k=\dfrac{25}{35}[/tex]
[tex]k=\dfrac{5}{7}[/tex]
Therefore, the scale factor from PQRS to TUVW is [tex]k=\dfrac{5}{7}[/tex].
(6) Five men and four women play in a softball team.
Their names are put into a hat and two people are randomly selected to co-captain the
2
(1)
Copy and complete the probability tree diagram in your answer booklet.
First Captain
Second Captain
Male
Male
9
Female
Male
Female
9
Female
2
Calculate the probability that there will be at least one female captain.
2
(iii) Grant is one of the men on the team. He believes that he has a good chance of being
one of the co-captains.
Do you agree? Justify your answer.
Answer:
ANSWER IS 12
Step-by-step explanation:
A chair rental company charges $100 for delivery plus $3 per
chair. You want to order 200 chairs for a concert. How much
will it cost?
O a. $300
O b. $600
O c. $700
O d. None of the above
above
Answer: 700
Step-by-step explanation: 3 x 200 + 100
Answer:
c.$700
Step-by-step explanation:
3x+100 3 per chair=3x plus the additional 100 dollar fee
3(200)+100
600+100
700
A box is to be made out of a 12 by 20 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L , width W , and height H of the resulting box that maximizes the volume.
Answer:
Box Dimensions:
L = 15.15 ul
W = 7.15 ul
h = x = 2.43 ul
V(max) = 263.22 cu
Step-by-step explanation:
We call x the length of the square to be cut in the corners then:
Are of the base of the box is:
(20 - 2*x) is the future length of the box and
(12 - 2*x) will be the width
The heigh is x then the volume of the box is:
V = ( 20 - 2*x )* ( 12 - 2*x ) * h
And the volume as a function of x is:
V(x) = ( 20 - 2*x) * ( 12 - 2*x ) * x or V(x) = (240 -40*x -24*x + 4*x²) * x
V(x) = 240*x - 64*x² + 4*x³
Taking derivatives on both sides of the equation we get:
V´(x) = 240 - 128*x + 12*x²
V´(x) = 0 240 - 128*x + 12*x² = 0 or 60 - 32*x + 3*x²
3*x² - 32*x + 60 = 0
Solving:
x₁,₂ = 32 ± √ (32)² - 4*3*60 ]/ 2*3
x₁,₂ = 32 ± √ 1024 - 720 )/6
x₁,₂ = ( 32 ± √ 304 )/6
x₁,₂ = ( 32 ± 17.44 )/6
x₁ = 8.23 ( we dismiss this solution because is not feasible 2*x > 12
x₂ = 2.43 u.l ( units of length)
Then
L = 20 - 2*x L = 20 - 4.85 L = 15.15 ul
W = 12 - 2*x W = 12 - 4.85 W = 7.15 ul
h = 2.43 ul
V = 2.43*7.15*15.15 cubic units
V = 263.22 cu
To see if when x = 2.43 function V has a maximum we go to the second derivative
V´´(x) = - 128 + (24)*2.43
V´´(x) = - 69.68 as V´´(x) < 0 then we have a maximum for V(x) in the point x = 2.43
What is the x value of the solution to the system of equations
4y=2x+8
Y=-x+2
Answer:
x=0;y=2
Step-by-step explanation:
4(-x+2)=2x+8 -4x+8=2x+8 -4x-2x=8-8 -6x=0 x=0 y=-x+2 y=0+2 y=2
If x is 6, then 7x =
Answer:
42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = 6
7x
Step 2: Evaluate
Substitute in variables: 7(6)Multiply: 42joey is going shopping for a new pair of sneakers. He finds a pair that have an original price of $155. They are on sale today for 30% off. How much does Joey pay for the sneakers including 8% sales tax?
Answer:, Joey will pay $117.18 for sneakers.
Step-by-step explanation:
Given: original price = $155
Discount rate = 30%
Tax rate = 8%
Price after discount = Original price - (Discount) x (original price)
[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]
Tax = Tax rate x (Price after discount)
[tex]= 0.08 \times 108.5[/tex]
= $ 8.68
Final price for sneakers = Price after discount + Tax
= $ (108.5+8.68)
= $ 117.18
Hence
Simplify the expression....
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
Which are the solutions of the quadratic equation?
x² = 7x + 4
Answer:
[tex]x = \frac{7 + \sqrt{65}}{2} \ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = 7x + 4 \\\\x^2 - 7x - 4 = 0\\\\ a = 1 \ , \ b = - 7 , \ c \ = \ - 4 \\\\x = \frac{-b \pm \sqt{b^2 - 4ac }}{2a}\\\\Substitute \ the \ values : \\\\x = \frac{7 \pm \sqrt{7^2 - (4 \times 1 \times -4)}}{2 \times 1}\\\\x = \frac{7 \pm \sqrt{49 + 16}}{2 }\\\\x = \frac{7 \pm \sqrt{65}}{2 }\\\\x = \frac{7 + \sqrt{65}}{2}\ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
8. The confectionary company "Sugary Sweet" wants to test how sweet and flavorful their participants like their candy. They manipulated three levels of sugar and also two levels of flavor in the candy for their participants to score their preference. State the hypotheses for their study.
Solution :
It is given that a company named "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.
There are Two levels of the flavor and three levels of sugar.
Thus it is a Two Way ANOVA test.
A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.
[tex]$H_{01} : \text{Mean effect of the sugar are equal}$[/tex]
[tex]$H_{02} : \text{Mean effect of the flavor are equal}$[/tex]
[tex]$H_{01} : \text{There is no interaction between the sugar and the flavor}$[/tex]
What type of angel is 107 degrees
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Answer:
An obtuse angle
Step-by-step explanation:
Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,
acute: degree measure between (0) and (90) degrees
right: exactly (90) degrees,
obtuse: degree measure between (90) and (180) degrees
reflex: degree measure between (180) and (360) degrees
Please Help. Thank you
Answer:
7/5 is the scale factor
Step-by-step explanation:
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
1, -3.5
Step-by-step explanation:
Answer:(0.5,-3.5)
Step-by-step explanation:
(-2+3/2)/2, (-5-2)/2
0.5,-3.5
Need answer to this maths question plssss
Answer:
The fourth angles is 105
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
3*85 = 225
Let the fourth angle be x
225 +x = 360
x = 360 -225
x =105
A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers.
Answer:
Our two numbers are:
[tex]2+4\sqrt{2} \text{ and } 4\sqrt{2}-2[/tex]
Or, approximately 7.66 and 3.66.
Step-by-step explanation:
Let the two numbers be a and b.
One positive real number is four less than another. So, we can write that:
[tex]b=a-4[/tex]
The sum of the squares of the two numbers is 72. Therefore:
[tex]a^2+b^2=72[/tex]
Substitute:
[tex]a^2+(a-4)^2=72[/tex]
Solve for a. Expand:
[tex]a^2+(a^2-8a+16)=72[/tex]
Simplify:
[tex]2a^2-8a+16=72[/tex]
Divide both sides by two:
[tex]a^2-4a+8=36[/tex]
Subtract 36 from both sides:
[tex]a^2-4a-28=0[/tex]
The equation isn't factorable. So, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -4, and c = -28. Substitute:
[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-28)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{4\pm\sqrt{128}}{2}=\frac{4\pm8\sqrt{2}}{2}=2\pm4\sqrt{2}[/tex]
So, our two solutions are:
[tex]\displaystyle x_1=2+4\sqrt{2}\approx 7.66\text{ or } x_2=2-4\sqrt{2}\approx-3.66[/tex]
Since the two numbers are positive, we can ignore the second solution.
So, our first number is:
[tex]a=2+4\sqrt{2}[/tex]
And since the second number is four less, our second number is:
[tex]b=(2+4\sqrt{2})-4=4\sqrt{2}-2\approx 3.66[/tex]
Answer:
[tex]2+4\sqrt{2}\text{ and }4\sqrt{2}-2[/tex]
Step-by-step explanation:
Let the large number be [tex]x[/tex]. We can represent the smaller number with [tex]x-4[/tex]. Since their squares add up to 72, we have the following equation:
[tex]x^2+(x-4)^2=72[/tex]
Expand [tex](x-4)^2[/tex] using the property [tex](a-b)^2=a^2-2ab+b^2[/tex]:
[tex]x^2+x^2-2(4)(x)+16=72[/tex]
Combine like terms:
[tex]2x^2-8x+16=72[/tex]
Subtract 72 from both sides:
[tex]2x^2-8x-56=0[/tex]
Use the quadratic formula to find solutions for [tex]x[/tex]:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] for [tex]ax^2+bx+c[/tex]
In [tex]2x^2-8x-56[/tex], assign:
[tex]a\implies 2[/tex] [tex]b \implies -8[/tex] [tex]c\implies -56[/tex]Solving, we get:
[tex]x=\frac{-(-8)\pm \sqrt{(-8)^2-4(2)(-56)}}{2(2)},\\x=\frac{8\pm 16\sqrt{2}}{4},\\\begin{cases}x=\frac{8+16\sqrt{2}}{4}, x=\boxed{2+4\sqrt{2}} \\x=\frac{8-16\sqrt{2}}{4}, x=\boxed{2-4\sqrt{2}}\end{cases}[/tex]
Since the question stipulates that [tex]x[/tex] is positive, we have [tex]x=\boxed{2+4\sqrt{2}}[/tex]. Therefore, the two numbers are [tex]2+4\sqrt{2}[/tex] and [tex]4\sqrt{2}-2[/tex].
Verify:
[tex](2+4\sqrt{2})^2+(4\sqrt{2}-2)^2=72\:\checkmark[/tex]
Can someone please answer this I’ll give brainliest
Answer:
Step-by-step explanation:
If you look at the diagram, you notice there are two triangular bases and three rectangular faces.
Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face
area of triangle = (1/2)*height*base
area of triangular base = (1/2)*15*28 = 210 cm^2
area of rectangle = base*height
area of rectangular face #1 = 25*30 = 750 cm^2
area of rectangular face #2 = 17*30 = 510 cm^2
area of rectangular face #3 = 28*30 = 840 cm^2
total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2
Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges. Write a formula that will help her determine how much she will make in a week. Let's Let a= total amount earned, h= hours worked in one week, n= number of bouquets she arranged, and b= bonus amount for bouquets
Answer: a = 7.5h + bn
Step-by-step explanation:
Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
where,
a = total amount earned,
h= hours worked in one week,
n = number of bouquets she arranged
b= bonus amount for bouquets
Then, the formula that will help her determine how much she will make in a week will be:
a = (7.5 × h) + (b × n)
a = 7.5h + bn
The formula is a = 7.5h + bn.
Use a calculator to find the r-value of these data. Round the value to three
decimal places
Answer:
-.985
Step-by-step explanation:
What is the domain of the function y=%/x-1?
O-
o -1 < x < oo
0
O 1
Answer:
[tex]-\infty < x < \infty[/tex]
Step-by-step explanation:
Given
[tex]y = \sqrt[3]{x - 1}[/tex]
Required
The domain
The given function is cubic root; there are no restrictions on cubic root functions
Hence, the domain is:
[tex]-\infty < x < \infty[/tex]
Hurry !!Answer each question about the following
geometric series
10
k-1
What is the first term of the series?
a =
S10 - 3(2)k-1
RETRY
k-1
How many terms are in the series?
1
2
9
✓
10
COMPLETE
Answer:
last term is 1536
Value of the geometric series is 3,069
Step-by-step explanation:
took one for the team
There are 10 terms in the geometric series.
And, The first term of the series is, 3
We know that;
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric series is,
⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹
Where, n is from 1 to 10.
Thus, We get;
There are 10 terms in the geometric series.
And, For first term;
Put n = 1;
⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹
⇒ S₁₀ = ∑ 3 (2)¹⁻¹
⇒ S₁₀ = ∑ 3 (2)⁰
⇒ S₁₀ = ∑ 3 × 1
⇒ S₁₀ = 3
Thus, The first term of the series is, 3
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
#SPJ7
Help please I keep missing the middle one
Answer:
4 + (1/3)w + w = 24
subtract 4 from both sides
(1/3)w + w = 20
multiply both sides by 3 to clear the fraction
w + 3w = 60
4w = 60
Divide both sides by 4
w = 15
Six teammates are competing for first, second, and third place in a race.
How many possibilities are there for the top three positions?
20
30
120
240
Step-by-step explanation:
there Are 120 possibilities for the top three positions
We will see that there are 120 different possibilities for the top 3 positions.
How many possibilities are there for the top three positions?Here we need to count the number of options for each of the positions.
For the first position, there are 6 options (6 team members).For the second position, there are 5 options (because one is already in the first position).For the third position, there are 4 options.The total number of different combinations is given by the product between the numbers of options, we will get:
C = 6*5*4 = 120
There are 120 different possibilities for the 3 positions.
If you want to learn more about combinations, you can read:
https://brainly.com/question/11732255
#SPJ2
!!!!!!!!!!!!!! Please read question correctly before answering
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
What is the equation form of the line that is parallel to the line y=-1/3x+4 and passes through the point (6,5)
Answer: 4
Step-by-step explanation: bc
A(1,7) B(6,4) and C(5,5) are three points in a plane
1. Find the equations of the perpendicular bisectors of AB and AC
Determine the point of intersection of the perpendicular bisectors in (I)
Answer:
Step-by-step explanation:
Middle point of AB
x(m) = (6+1)/2 = 7/2
y(m) = (7+4)/2 = 11/2
slope of the line that contains AB
(4-7)/(6-1) = -3/5
eqaution of the perpendicular bisector
y-11/2 = 5/3(x-7/2)
y = 5/3x -35/6 + 11/2
y = 5/3x + (-35 + 33)/6
y = 5/3x -1/3
Middle point of AC
x(m) = (1+5)/2 = 3
y(m) = (7+5)/2 = 6
Slope of the line that contains AC
(5-7)/(5-1) = -1/2
equation of the perpendicular bisector
y-6 = 2(x-3)
y = 2x -6 + 6
y = 2x
Point of intersection
y= 5/3x -1/3
y = 2x
2x = 5/3x - 1/3
6x = 5x - 1
x = -1
y = -2
P(-1,-2)
Answer:
(1,7)
Step-by-step explanation:
Given:
A(1,7)
B(6,4)
C(5,5)
Solution:
Mid point of AB = M((1+6)/2,(7+4)/2) = M(3.5,5.5)
Slope of AB = (4-7)/(6-1) = -3/5
Perpendicular bisector of AB:
L1: y - 11/2 = -(3/5)(x-7/2) ............(1)
Mid point of AC, m= N((1+5)/2,(7+5)/2) = N(3,6)
Slope of AC, n = (5-7)/(5-1) = -2/4 = -1/2
perpendicular bisector of AC:
L2: y-6 = -(1/2)(x-3) ..........."(2)
To find the point of intersection,
(1)-(2)
-5.5 - (-6) = -(3/5)x +12/5 + x/2 - 3/2
1/2 = -x/10 + 6/10
x/10 = 1/10
x = 1
substitute x in (1)
y = 3/2+11/2 =7
Therefore Point of intersection is (1,7)
A) x = -2
B) y =2
C) y= -2
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
[tex]y=a(x-h)^2+k[/tex] so that means that [tex]a=\frac{1}{8}[/tex]. We can use that to solve for p in the formula
[tex]p=\frac{1}{4a}[/tex] so
[tex]p=\frac{1}{4(\frac{1}{8}) }[/tex] which simplifies to
[tex]p=\frac{1}{\frac{1}{2} }[/tex] which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
i just need these 2 questions and I’m done please help.!;(
I’ll mark you brainliest.!
Answer:
gal = 663902.4
11 pavers
Step-by-step explanation:
V = l × w × h
V = 164 × 82 × 6.6
V = [tex]88757ft^3[/tex]
**********************************
The Swimming pool is a
rectangular prism. Write
the formula for its volume
and calculate it.
l...length of this prism
w...width of this prism
h...height of this prism
V ...volume
*********************************
To know how many
gallons are in the pool,
multiply the volume by
the number of gallons
in [tex]1ft^3[/tex] gal...number of
gallons
********************************
gal = 88757 × 7.48
gal = 663902.4
********************************
First to not confuse
anybody on this, we need
to convert the meters into
centimeters.
Rule: 1 m = 100 cm
3 m = 300 cm
2.5 m = 250 cm
********************************
so for every meter, we
multiply 100 to get the
amount of centimeters
********************************
so then add the
centimeters of 3 m and
2.5 m
Answer: 550 cm
so then now compare
the measurings...
3 m = 300 cm
50cm × y = 300cm
50cm × 6 = 300cm
y = 6
2.5 m = 250 cm
50cm × y = 250cm
50cm × 5 = 250cm
y = 5
6 + 5 = 11 pavers
so Oliver will need 11 pavers
Expand 3(c + 3).
3(c + 3) =
Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
Please don't troll!!!!!!!
Answer:
Ben = $ 41
Kaden = $ 31
Step-by-step explanation:
Let initially Ben has $ p and then Kaden has $ (p - 10).
After that
Ben has= $ (p + 4)
Kaden has = $ (p- 10 + 4) = $ ( p - 6)
According to the question,
[tex]p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41[/tex]
Initially Ben has $ 41 and Kaden has $ 31.
