Answer:
The answer is 2.5
Step-by-step explanation:
Formula Used is is ½ x x+y
so it is ½ x 2 + 3
½ x 5 = 2.5
Answer:
2=2/1
3=3/1
multiplying both fractions by 10.
2*10/1*10
3*10/1*10
20/10 and 30/10
so nos are 21/10.......29/10
A shop has a sale of 10% off all items in stock. If the original price of a dress is £60 what would be its sale price?
Answer:
£ 54Step-by-step explanation:
Given,
Discount percent = 10%
Marked price ( MP ) = £ 60
Selling price ( SP ) = ?
Now, finding the discount amount:
Discount amount = discount percent of MP
= 10% of 60
= £ 6
Selling price = Marked price - Discount amount
=£ 60 - £ 6
= £ 54
hope this helps...
Good luck on your assignment..
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
Step-by-step explanation:
The two equations are 8x-10y=-23 and 9x+10y=-16.
If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).
The answer is A.
Answer:
i think it is A
Step-by-step explanation:
if right pls give brainliest
Nvm it is right pls give brainliest i need 5 to get to next rank
Write a polynomial f(x) that satisfies the given conditions.
8
Degree 3 polynomial with integer coefficients with zeros -5i and
5
Answer:
f(x) = x^3 -5x^2 +25x -125
Step-by-step explanation:
For zero x=a, one of the factors is (x -a). If the polynomial has integer coefficients, its complex roots come in conjugate pairs. So, the roots are ...
roots: -5i, 5i, 5
factors: (x -(-5i))(x -5i)(x -5)
Multiplying these out gives your polynomial as ...
f(x) = (x^2 +25)(x -5)
f(x) = x^3 -5x^2 +25x -125
Solve the following proportion. x−2=57 x=?
Answer:
x = 59
Step-by-step explanation:
x−2=57
Add 2 to each side
x−2+2=57+2
x = 59
Answer:
X=59
Step-by-step explanation:
x−2=57
to isolate X you would have to add 2 to each side. x-2(+2)=x and 57(+2)=59
what is a continent To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first equation by 8 and multiply the second equation by 9.
y=6
Step-by-step explanation:
In the equations:
9x + 3y = -18 -----------------------------------------------------------------(1)
8x + 7y = 10 --------------------------------------------------------------------(2)
To solve for y, we will have to eliminate x
To eliminate x, we will follow the steps below;
multiply equation (1) through by 8 and multiply equation (2) through by 9
The resulting equations are
72x + 24y = -144 ----------------------------------------------------------(3)
72x + 63y = 90 -----------------------------------------------------------(4)
Then we will go ahead and subtract equation (4) from equation (3)
39y =234
divide both-side of the equation by 39
39y /39=234/39
y=6
The side length of each square is 6 units. Find the areas of the inscribed shapes.
Answer:
a) A₁ = 18 unit²
b) A₂ = 20 unit²
c) A₃ = 12 unit²
d) A₄ = 12 unit²
Step-by-step explanation:
a) Given that the side length of square is 6 units, we have;
The height of the square = The height of the triangle = 6 units
The base of the triangle = The side length of the square = 6 units
The area of a triangle A₁ = 1/2×base×height = 1/2×6×6 = 18 unit²
b) The side of the square A₂ forms an hypotenuse side to the side length 2 and 4 on sides of the circumscribing square
The length of the side = √(4^2 + 2^2) = 2·√5
A₂ = The area of a square =Side² = (2·√5)² = 20 unit²
c) The base length of the triangle, A₃ + 2 = The side length of the circumscribing square = 6 units
∴ The base length of the triangle, ₃₂ = 6 - 2 = 4 units
The height of the triangle, A₃ = The side length of the circumscribing square = 6 units
The area of a triangle A₃ = 1/2×base×height = 1/2×4×6 = 12 unit²
d) Figure, A₄, is a parallelogram;
The area of a parallelogram = Base × Height
The base of the parallelogram, A₄ + 4 = 6 units
Therefore, the base of the parallelogram, A₄ = 6 - 4 = 2 units
The height of the parallelogram = The side length of the circumscribing square = 6 units
The area of a parallelogram A₄ = 2× 6 = 12 unit².
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin 8°= 0.1392)
Answer:
16.704m
Step-by-step explanation:
To solve the above question, we are going to use the Trigonometric function of Sine.
sin θ = Opposite side/Hypotenuse
Where are given θ = 8°
Sin 8° = 0.1392
In the question, we are told that ,
A car travels 120m along a straight road that is inclined at 8° to the horizontal, hence,
Hypotenuse = 120m
We are asked to calculate the vertical distance through which the car rises hence,
Opposite side = vertical distance.
Therefore,
Sin 8° = Opposite/ 120m
Opposite = Sin 8° × 120m
Opposite = 0.1392 × 120m
Opposite = 16.704m
Therefore, the vertical distance through which the car rises is 16.704m
Please answer it now in two minutes
Answer:
4 miles
Step-by-step explanation:
Solution:-
- This question pertains to special right angle triangles.
- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.
- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:
30° 45° 60°
sin 1/2 1/√2 √3 / 2
cos √3 / 2 1/√2 1/2
tan 1 /√3 1 √3
- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )
- We see that the sine ratio is the most appropriate which can be written as:
sin ( θ ) = q / H = q / 4√2
sin ( 45° ) = q / 4√2
q = 4√2 * sin ( 45° ) ... Use above table for sin ( 45° )
q = 4√2 * [ 1 / √2 ]
q = 4 miles ... Answer
In one design being considered for the containers shaped like a rectangular prism, each
container will have a height of 114 inches and length of 74 inches. What will be the within
inches, of the container?
A.3
B.4
C.14
D.15
Answer:
your answer is A 3 inches
The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below.
On a coordinate plane, a graph of a function is in quadrants 1 and 4. The function goes through the x-axis at (2, 0), (3, ), and (4.5, 0).
How many roots of f(x) are rational numbers?
0
1
2
3
Mark this and return
Answer:
it'd be 3! :)
Step-by-step explanation:
took quiz
to be sure, the graph goes like
/ , then a hill like shape, then goes U, and then goes up
The number of rational roots of the equation are 3.
What is the root of an equation?The root of an equation are the solutions to an equation. The equation as shown is a cubic equation hence will have three roots shows as (2, 0), (3, 0), and (4.5, 0).
It thus implies from the foregoing that the number of rational roots of the equation are 3.
Learn more about root of an equation:https://brainly.com/question/12029673
#SPJ5
The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.
Answer:
The answer is 1/5
Step-by-step explanation:
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
Answer:
15.59 in^2
Step-by-step explanation:
The area of an equilateral triangle with side length "s" is given by ...
A = (√3)/4·s^2
Filling in your numbers, we have ...
A = (√3)/4·(6 in)^2 = 9√3 in^2
A ≈ 15.59 in^2
The area is about 15.59 square inches.
Real solutions please WILL GIVE BRAINLIEST
Answer:
the answer is A=2
Step-by-step explanation:
a real solution is a solution that uses real numbers. This equation has 2 real solutions.
Answer:
A. 2 real solutions
Step-by-step explanation:
One graph is a parabola and 1 graph is a straight line and they intersect twice.
4 lemon are brought for Rs. 10 and sold 3 for Rs. 10 ,what is the profit %
Answer:
The profit is Rs 2.5Step-by-step explanation:
In other to solve for the profit we have to solve for the unit cost of one lemon first
If 4 lemons cost Rs. 10
then 1 lemon will cost= 10/4= Rs 2.5
knowing that one cost Rs 2.5
cost price of three would be 3* Rs 2.5= Rs 7.5
Since three was sold for Rs. 10.
The profit made is
cost of three- selling price of three= Rs. 10- Rs 7.5= Rs 2.5
What is the best first step to solve this equation 8x =25 ?
Hey there!
"8x = 25"
In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8
8x/8 = 25/8
Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)
Keep: 25/8 Because it solves for your equation
Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
The surface area of a sphere is 3000 m square units. What is the volume of the sphere to the nearest hunderedth?
Answer:
The answer is
15448m³Step-by-step explanation:
To find the volume of the sphere we must first find the radius
Surface area of a sphere = 4πr²
where r is the radius
From the question surface area = 3000m²
3000 = 4πr²
Divide both sides by 4π
750/π = r²
Find the square root of both sides
r = 15.45 cm
Volume of a sphere is 4/3πr³
So we have
4/3π(15.45)³
= 15448.06
= 15448m³ to the nearest hundredth
Hope this helps you
A solid square pyramid has a mass of 750 g. It is made of a material with a
density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.
Answer:
4.55cmStep-by-step explanation:
The unit of a volume: [tex]cm^3[/tex]
The unit of a density: [tex]\dfrac{g}{cm^3}[/tex]
The density is [tex]\dfrac{mass}{volume}[/tex]
Substitute:
[tex]\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}[/tex]
cross multiply
[tex]8.05gV=750gcm^3[/tex]
divide both sides by 8.05g
[tex]V\approx93.17cm^3[/tex]
The formula of a volume of a square pyramid:
[tex]V=\dfrac{1}{3}a^2H[/tex]
a - length of square base
H - height of a pyramid
We have:
[tex]V=93.17cm^3;\ H=13.5cm[/tex]
Substitute:
[tex]93.17=\dfrac{1}{3}a^2(13.5)[/tex]
multiply both sides by 3
[tex]279.51=13.5H[/tex]
[tex]297.51=13.5a^2[/tex]
divide both sides by 13.5
[tex]a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)[/tex]
Answer:
Step-by-step explanation:
volume of pyramid=1/3×base area×height
let the length of base=x
base area=x²
volume V=1/3×x²×13.5=4.5 x²
mass=volume×density
750=4.5 x²×8.05=36.225 x²
x²=750/36.225
x=√(750/36.225)≈4.55 cm
is the folllowing shape a square? how do you know
Answer:If it has 4 equal sides
If the angles are 90°
Hope this may helps you
Answer:
A square is characterized by
4 equal sides.Each angle measures 90°Diagonals meet and bisect each other at 90°Opposite sides are parallel and equal.Diagonals are equal.Hope this helps ;) ❤❤❤
What is the sine value of pi over 6? negative 1 over 2 1 over 2 negative square root 3 over 2 square root 3 over 2
Answer:
1/2
Step-by-step explanation:
[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]
sin(pi) = 0
sin(7pi/6) = -1/2
sin(pi/6) = 1/2
sin 3pi/2 = -1
sin pi/2 = 1
sin pi/3 = √3/2
sin 4pi/3 = -√3/2
Answer:
1/2
Step-by-step explanation:
I got it right on the exam.
If some of the omitted variables, which you hope to capture in the changes analysis, in fact change over time within entity, then the FE estimator a. will be unbiased only when allowing for heteroskedastic-robust standard errors. b. may still be biased. c. will only be unbiased in large samples. d. will always be unbiased.
Answer:
d. will always be unbiased.
Step-by-step explanation:
When some of variables are omitted the estimator on indulge charge regressor may still be unbiased. If there is a special case where T = 2 then the FE estimator will be unbiased. Fixed effect regression model has different intercepts.
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-*x+9
y=-*x+5
y=-3x – 1ly
y=-3x + 25
Answer:
y = -3x - 11
Step-by-step explanation:
(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)
(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)
(y - 7)/(x + 6) = 3/-1 = -3
y - 7 = -3(x + 6)
y - 7 = -3x - 18
y = -3x -18 - 7
y = -3x - 11
how many ways can you order a hot dog with the choices below?
Answer:
8
Step-by-step explanation:
2 x 2 x 2 = 8
you have 2 choices each time, with or without
A walking path across a park is represented by the equation y=-3x - 3.A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3,6). Identify the equation that represents the new path.
Answer:
[tex]y=\frac{1}{3} x+7[/tex]
Step-by-step explanation:
We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).
Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;
[tex]slope=-\frac{1}{m}[/tex]
Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:
[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]
We now know the slope, and also a point for this new line, so we use the point-slope form of a line:
[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]
A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?
Greetings from Brasil...
Pure application of trigonometry - tangent
see the attachment
H = X + 6
and
TG 33 = X/60
X = 60.TG 33
X ≈ 39
H = X + 6
H = 39 + 6
H = 45write the equation of the parabola in vertex form.
Answer:
y = (x - 2)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 0) , thus
y = a(x - 2)² + 0
To find a substitute the y- intercept (0, 4) into the equation
4 = a(- 2)² = 4a ( divide both sides by 4 )
a = 1
y = (x - 2)² ← equation of parabola in vertex form
Need help ASAP please
URGENT! Please help me with this question.
PLEASE PLEASE HELP IM BEING TIMED The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent. 18% 22% 35% 82%
Answer: 82%
Step-by-step explanation:
- - - - - - - - college - - not college - - - - total
Travel - - - - 43 - - - - - - - 10 - - - - - - - - 53
Not travel - 24 - - - - - - - 5 - - - - - - - - - 29
Total - - - - 67 - - - - - - - 15 - - - - - - - - - 82
Marginal relative frequency of students who plan to attend college:
(Number of students who plan to attend the college / Total number of the students)
Number of students who plan to attend college = 67
total number of students = 82
Marginal relative frequency = 67/82
= 0.8170731
= (0.8170731) * 100%
= 81.7% = 82%
Answer:
a: 14/50
b: 15/50
c: 21/50
Step-by-step explanation:
on edge
Answer choice
C) All nonnegative real numbers
D) All positive integers
The number of boxes can't be negative or in fractions.
so the domain would be "All whole numbers from 0 to 10"
Answer:
A) All whole numbers from 0 to 10.
Step-by-step explanation:
The domain of a function is given by the available values of the independent variable.
In this case you have that the independent variable is the number of boxes, and the available values of this variable are integers in between 0 and 10, by including 0 and 10.
Then, the domain of the functions composed by all positive integers number from 0 to 10 including 0 and 10.
A) All whole numbers from 0 to 10.