Answer:
0.68
Step-by-step explanation:
According To the Question,
Let, H ⇒ "heavy traffic" & T ⇒ "get there on time".
Then, "half of the time there is heavy traffic" ⇔ P(H)=0.5.
Given, In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. This has to be taken to mean P(H and T) = 0.34.Now, you are given that there is heavy traffic, so We need to find P(T I H).
P(T l H) = P(H and T) / P(T)
P(T l H) = 0.34/0.5 ⇒ 0.68
What is the length of BC? Please include how you got it :)
Answer:
BC = 24
Step-by-step explanation:
We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.
AC/EC = BC/DC
30/10 = (32-x)/x
3 = (32-x)/x
Then using algebraic properties, solve for x.
3x = 32 - x
4x = 32
x = 8.
Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24
Answer:
B
Step-by-step explanation:
Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values
[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )
32 - x = 3x ( add x to both sides )
32 = 4x ( divide both sides by 4 )
8 = x
Then
BC = 32 - x = 32 - 8 = 24 → B
PLEASE HELP ASAP, giving brainlist t anyone who answers <3
A computer store bought a program at a cost of $40 and sold it at a selling price of $32.5. Find the percent markdown (Rounded to a whole number) .
Answer:
The percentage markdown is approximately 19%
Step-by-step explanation:
The cost at which the computer store bought the program = $40
The selling price at which the store sold the program = $32.5
The percentage markdown is given as follows;
Let CP represent the cost at which the computer store bought the program, and let SP represent the selling price of the program, we can find the percentage markdown as follows;
[tex]Percentage \ markdown = \dfrac{CP- SP}{CP } \times 100[/tex]
CP = $40, SP = 32.5
Therefore, we get;
[tex]Percentage \ markdown = \dfrac{40- 32.5}{40} \times 100 = 18.75\% \approx 19\%[/tex]
The percentage markdown ≈ 19%.
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
50 points. I am stuck on this question, Please help!
Line AB is the diameter of circle E. The measure of < CBD = 63 degrees and the measure of Arc CA is 36 degrees. Find angles ADB, angles ABD, angles BAD and arc BD.
Thank you
Step-by-step explanation:
arc CAD = 2×63= 126°
< ADB = ½×180 = 90°
arc AD = 126-36 = 90°
< ABD = ½×90° = 45°
< BAD = 180-90-45 = 45°
arc BD = 2×45 = 90°
CAN SOMEONE PLEASE HELP ME??!!
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
Pythagoras
1.if the radius of the smaller circle is 3, find it’s area
2. Find the area of the yellow ring
3. Find the area of the white ring
Answer:
1. [tex]Area = 28.26[/tex]
2 and 3: See explanation
Step-by-step explanation:
Solving (1)
[tex]r = 3[/tex] --- radius
The area is:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14* 3^2[/tex]
[tex]Area = 28.26[/tex]
There are no enough information to solve (2) and (3) as the radius and/or diameter are not provided.
However, the following formula will be used to calculate the required areas.
[tex]Area = \pi r^2[/tex] --- same process as (1)
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.
480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.
Answer:
216π sq ft
Step-by-step explanation:
given that :
d = 12 ft => r = 12/2 = 6ft
h(cyl) = 10 ft
h(cone) = 8 ft
the surface area = ?
the solution :
the slant of cone = √r²+h²
= √6²+8²= √100 = 10 ft
the surface area of silo =
the lateral area of cone + the lateral area of cylinder + the base area
= π×r×slant + 2×π×r×h(cyl) + π×r²
= π×6×10 + 2×π×6×10 + π×6²
= 60π + 120π + 36π
= 216π sq ft
The surface area of the silo will be 216π square feet. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.
The surface area is the sum of the surface area of the cone and cylinder. Then we have
The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.
Surface area = πrl + 2πrh + πr²
The length of the radius will be
r = d /2
r = 12 / 2
r = 6 ft
The length of slant height will be
l² = 6² + 8²
l² = 100
l = 10 ft
Then the surface area of the silo will be
SA = π × 6 × 10 + 2π × 6 × 10 + π6²
SA = 60π + 120π + 36π
SA = 216π square feet
The surface area of the silo will be 216π square feet.
Then the correct option is C.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
What is the length of a diagonal of a rectangle 9m long and 5m wide?
if sin A-cos B then A+B=
Answer:
sinA=sin(90-B)
sinA=90_B
now,A+B
=90
G(x) = 8x - 9 for g(x) = 23
Help plz
1) __ × 4 = -20
2) __-7 = - 2
3) __ × - 5= 20
4) __- 9 = - 2
5) __+ 17 = 20
Answer:
1) -5
2) 5
3) -4
4) 7
5) 3
Step-by-step explanation:
1) -20 divided by -4
2) -2 plus 7
3) 20 divided by 5
4) -2 plus 9
5) 20 minus 17
can anyone help me solve ...
Answer:
a) x= 34°
b) x = 51°
Step-by-step explanation:
Points to keep in mind when solving triangle problems.
An isosceles triangle has two equal sides and the angles opposite to those sides are also equal angles.
A triangle with all sides equal is called an equilateral triangle, which is also called equiangular triangle.
Find the greatest common factor of the
following monomials:
39n3 48n2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Monomial means an algebraic expression that consists of using ONE term}[/tex]
[tex]\mathsf{39n^3: 1, 3, 13, 39, n, n, n}[/tex]
[tex]\mathsf{48n^2: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, n, n}[/tex]
[tex]\large\textsf{Like terms: 1, 2, 3, n, n}[/tex]
[tex]\boxed{\boxed{ \large\textsf{Answer: \bf The GCF (Greatest Common Factor): 3n}^2}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{aAmphitrite1040:)}[/tex]
Write the expression in complete factored form.
p(y+ 9) + u(y + 9) =
Answer:
(p+u)(y+9)
Step-by-step explanation:
p(y+9)+u(y+9)
Multiply them out
py+uy+9p+9u
y(p+u)+9(p+u)
=(p+u)(y+9)
Write the slop form of an equation of the line thet passes throughtl (4-3)and(2,1
Answer:
y+2x-5= 0
Step-by-step explanation:
Applying,
(y-y₁) = m(x-x₁)............... Equation 1
Where m = slope
But,
m = (y₂-y₁)/(x₂-x₁)
Given: y₁ = -3, y₂ = 1, x₁ = 4, x₂ = 2
m = (1+3)/(2-4)
m = 4/-2
m = -2
Substituting into equation 1
(y+3) = -2(x-4)
y+3 = -2x+8
y = -2x+8-3
y = -2x+5
y = 5-2x
y+2x-5 = 0
Express 4x + 3y - 8 = 0 in slope and y-intercept form.
Step-by-step explanation:
Given equation :-
4x + 3y - 8 = 0Slope intercept form :-
y = mx + c→ 4x + 3y - 8 = 0
→ 3y = -4x + 8
→ y = (-4x + 8)/3
→ y = -4/3x + 8/3
Answer:
y = -4/3x + 8/3.
Step-by-step explanation:
4x + 3y - 8 = 0
3y - 8 = -4x
3y = -4x + 8
Divide through by 3:
y = -4/3x + 8/3.
Solve the equation. Then check your solution. StartFraction x Over 90 EndFraction = StartFraction 7 Over 9 EndFraction
Answer:
Step-by-step explanation:
x = 7
Symbolically, this equation is:
x 7
----- = -----
90 9
Cross multiplying yields 9x = 9(7), and so x must be 7.
Answer:
its b!!
Step-by-step explanation:
The height of a parallelogram is four times the base. The base measures 3.5 ft. Find the area of the parallelogram.
Answer:
49ft^2
Step-by-step explanation:
3.5ft X 4= 14ft
Area of parallelogram formula:
(perpendicular height)(base)= area
(14ft)(3.5ft)=49ft^2
Write the general polynomial p(x) if its only zeros are 1,4, and -3, with multiplicities 3,2, and 1, respectively. What is its degree? Find p(x) precisely if p(0)=16.
Answer:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- General polynomial
The degree is 6
[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- The polynomial precisely
Step-by-step explanation:
Given
[tex](a,b,c)= (1,4,-3)[/tex] --- zeros
[tex](m_1,m_2,m_3) =(3,2,1)[/tex] --- multiplicities
Solving (a): The polynomial
The polynomial is represented as:
[tex]p(x) = (x -a)^{m_1} * (x -b)^{m_2} * (x -c)^{m_3}[/tex]
So, we have:
[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)^{1}[/tex]
[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
Include constant k; So, the polynomial becomes
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
Solving (b): The degree (d)
To do this, add up the multiplicities
[tex]d = m_1 +m_2 +m_3[/tex]
[tex]d = 3+2+1[/tex]
[tex]d = 6[/tex]
The degree is 6
Solving (c): The actual polynomial
In (a), we have:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
[tex]p(0)=16[/tex] means:
[tex](x,p(x)) = (0,16)[/tex]
This gives:
[tex]16 = k(0 -1)^{3} * (0 -4)^{2} * (0 +3)[/tex]
[tex]16 = k(-1)^{3} * (-4)^{2} * (3)[/tex]
[tex]16 = k*-48[/tex]
Solve for k
[tex]k = \frac{16}{-48}[/tex]
[tex]k = -\frac{1}{3}[/tex]
So:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
8. The pyramid shown below has a square base and a vertex that lies
directly above the center of the square. Which of the following most
closely describes horizontal cross sections of this solid?
Answer:
They are all squares similar to the base.
Step-by-step explanation:
They are not congruent to the base but are similar.
Q. If 5 (3x-1) =40, then x = *
a-3
b-9
Answer: 3
Step-by-step explanation:
Distribute the 5: 15x-5=40
Add 5 from both sides: 15x=45
Divide 15 by both sides: 3
Answer:
a-3
Step-by-step explanation:
5(3x-1)=40
15x-5=40
15x=40+5
15x=45
x=45/15
x=3
A scatter plot with a line is shown below.
Which statement is most likely correct about the line.
A hiker is descending 152m every 8 minutes what will be hikers change in elevation in half an hour? what as an integers
Answer:
570 meters
Step-by-step explanation:
[tex]\frac{8}{152} :\frac{30}{y}[/tex]
y × 8 = 152 × 30
8y = 4560
8y ÷ 8 = 4560 ÷ 8
y = 570
If 45 crackers will serve 15 students, how many crackers are needed for 30 students? Please help I'm not smart enough to solve this-
can the angles with measures 80o , 55o and 65o form angles on a line
Answer:
Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees
No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.
In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.
Let's calculate the sum of the given angles:
Sum = 80° + 55° + 65°
= 200°
Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.
In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.
Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.
To know more about Linear Angles here
https://brainly.com/question/13045673
#SPJ2
What is the slope of the line
Answer:
slope = -3/4
Step-by-step explanation:
y(1)-y(2)/x(1)-x(2)
Plug in coordinates (0,4) and (4,1)
1-4/4-0
-3/4 is the slope
what is the value of 64 2/3?
Answer:
[tex] \frac{194}{3} [/tex]
Step-by-step explanation:
[tex]64 \frac{2}{3} [/tex]
[tex]64 + \frac{2}{3} [/tex]
[tex]64 \times \frac{3}{3} + \frac{2}{3} [/tex]
[tex] \frac{64 \times 3}{3} + \frac{2}{3} [/tex]
[tex] \frac{64 \times 3 + 2}{3} [/tex]
[tex] \frac{192 + 2}{3} [/tex]
[tex] \frac{194}{3} [/tex]
Hope it is helpful...
PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.
Answer:
I think it's a
I'm not that sure tho
Verify Expreimentally that if all sides and all angles of a quadrilateral are equal then it is the square
Answer:
Wikipedia says:
"In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles)."
https://en.wikipedia.org/wiki/Square
Step-by-step explanation: