Area of a triangle formula: 1/2 x base x height
Area = 1/2 x 2 x 3.8
Area = 3.8 square km
Answer:
The area of triangle = 3.8km²
Step-by-step explanation:
Given :-
A triangle having length of base is 2km and length of height is 3.8km.
To find :-
Area of triangle.Solution :-
We know that ,
Area of triangle = ½ × Base × height
Substitute the values.Area of triangle = ½ × 2km × 3.8km
Multiply 2km by 3.8km.Area of rectangle = ½ × 7.6km²
Divide by 2 .Area of triangle = 3.8km²
You move down 5 units and up 5 units. You end at (1,3). Where did you start?
Answer:
(1, 3)
Step-by-step explanation:
Since up and down are opposites, the point didn't move at all.
I hope this helps!
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A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?
A
8⋅t4=100,000
B
8⋅4t=100,000
C
4⋅t8=100,000
D
4⋅8t=100,000
Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Answer:
B
8 ⋅ 4^t = 100,000
Step-by-step explanation:
Find the value of x.
Step-by-step explanation:
here's the answer to your question
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
Need help ASAP ???
Answer:
The slope of AB is - 2,
Slope of BC is \frac{1}{2}
2
1
Slope of CD is -\frac{3}{4}−
4
3
Slope of AD is \frac{1}{2}
2
1
,
ABCD is trapezoid because one pair of opposite sides is parallel.
Step-by-step explanation:
Given vertices of quadrilateral ABCD,
A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),
∵ Slope of a line passes through two points (x_1, y_1)(x
1
,y
1
) and (x_2, y_2)(x
2
,y
2
) is,
m=\frac{y_2-y_1}{xc_2-x_1}m=
xc
2
−x
1
y
2
−y
1
Thus, the slope of AB = \frac{3+1}{-3+1}=\frac{4}{-2}=-2
−3+1
3+1
=
−2
4
=−2
Slope of BC = \frac{5-3}{1+3}=\frac{2}{4}=\frac{1}{2}
1+3
5−3
=
4
2
=
2
1
Slope of CD = \frac{2-5}{5-1}=-\frac{3}{4}
5−1
2−5
=−
4
3
Slope of DA = \frac{-1-2}{-1-5}=\frac{-3}{-6}=\frac{1}{2}
−1−5
−1−2
=
−6
−3
=
2
1
Since, when two line segment having the same slope then they are parallel to each other.
∴ BC ║ DA
A quadrilateral only having two parallel sides is called trapezoid,
Hence, ABCD is a trapezoid.
Given the graph of quadrilateral ABCD, the coordinates of A, B, C and D are (-3,-4), (1,4), (4,0) and (1,-4) respectively. The length of DA using distance formula is 4 units.
The coordinates of the points in the graph is given in the form of (x,y) where x is the abscissa and y is the ordinate.
The distance formula is used to find the length of the line given the endpoints of the line.
Given endpoints as [tex](x_1, y_1) \ and \ (x_2, y_2)[/tex],
[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinates of vertices are given by:
A = (-3,-4)
B = (1,4)
C = (4,0)
D = (1,-4)
The length of DA can be found by distance formula :
DA = [tex]\sqrt{(1+3)^2+(-4+4)^2} = \sqrt{(1+3)^2} = \sqrt{4^2} = 4[/tex]
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I need help ASAP!!! Please explain your answer
Answer:
804.2 km³
Step-by-step explanation:
Volume of a cylinder: πr²h
r = radius, h = height
[tex]\pi r^2h\\\pi(8)^2(4)\\\pi(64)(4)\\\pi(256)\\804.2[/tex]
First you to find the worksheet and download it
plase I need help
Answer:
a) The horizontal asymptote is y = 0
The y-intercept is (0, 9)
b) The horizontal asymptote is y = 0
The y-intercept is (0, 5)
c) The horizontal asymptote is y = 3
The y-intercept is (0, 4)
d) The horizontal asymptote is y = 3
The y-intercept is (0, 4)
e) The horizontal asymptote is y = -1
The y-intercept is (0, 7)
The x-intercept is (-3, 0)
f) The asymptote is y = 2
The y-intercept is (0, 6)
Step-by-step explanation:
a) f(x) = [tex]3^{x + 2}[/tex]
The asymptote is given as x → -∞, f(x) = [tex]3^{x + 2}[/tex] → 0
∴ The horizontal asymptote is f(x) = y = 0
The y-intercept is given when x = 0, we get;
f(x) = [tex]3^{0 + 2}[/tex] = 9
The y-intercept is f(x) = (0, 9)
b) f(x) = [tex]5^{1 - x}[/tex]
The asymptote is fx) = 0 as x → ∞
The asymptote is y = 0
Similar to question (1) above, the y-intercept is f(x) = [tex]5^{1 - 0}[/tex] = 5
The y-intercept is (0, 5)
c) f(x) = 3ˣ + 3
The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞
The asymptote is y = 3
The y-intercept is f(x) = 3⁰ + 3= 4
The y-intercept is (0, 4)
d) f(x) = 6⁻ˣ + 3
The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞
The horizontal asymptote is y = 3
The y-intercept is f(x) = 6⁻⁰ + 3 = 4
The y-intercept is (0, 4)
e) f(x) = [tex]2^{x + 3}[/tex] - 1
The asymptote is [tex]2^{x + 3}[/tex] → 0 and f(x) → -1 as x → -∞
The horizontal asymptote is y = -1
The y-intercept is f(x) = [tex]2^{0 + 3}[/tex] - 1 = 7
The y-intercept is (0, 7)
When f(x) = 0, [tex]2^{x + 3}[/tex] - 1 = 0
[tex]2^{x + 3}[/tex] = 1
x + 3 = 0, x = -3
The x-intercept is (-3, 0)
f) [tex]f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2[/tex]
The asymptote is [tex]\left (\dfrac{1}{2} \right)^{x - 2}[/tex] → 0 and f(x) → 2 as x → ∞
The asymptote is y = 2
The y-intercept is f(x) = [tex]f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6[/tex]
The y-intercept is (0, 6)
what is the following coordinates of (2,0) and (0,4)
Answer:
(2, 0) and (0, 4) are coordinates in the form of (x, y)
(2, 0) -> x = 2, y = 0
(0, 4) -> x = 0, y = 4
Help me with this please (khan academy)
Answer:
5*2 +2*2 = s*2
s = 5.38
s = 5.4
1. Write an algebraic expression for the following word phrase: the quotient of r and 12. (1 point)
Or. 12
Or+12
Or-12
Or- 12
The answer is Or + 12
Please hurry due tomorrow morning!!!
Jazzie and Jocelyn are racing on a track.Jazzie runs 4 miles per hour and gets a 0.25 mile head start. Jocelyn runs 0.5 miles per hour faster than Jazzie. If Jocelyn and Jazzie run the same distance, how many hours, x, do they run?
F. 4x + 0.25 = 0.5x
G.4x + 0.25 = 4.5x
H.4x + 0.25 =3.5 x
J. 4x - 0.25 = 3.5 x
Answer:
G: 4x + 0.25 = 4.5x
Step-by-step explanation:
1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph
2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?
3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x
Steel chain costs $0.75 per foot from Company
X, which provides free shipping. The same
steel chain costs $1.20 per yard at Company Y,
which charges a $120.00 shipping fee for all
orders. How much more does Company
Y charge, in dollars, than company X for 300
feet of steel chains?
Answer:
Company Y charges 255 dollars more then Company X :)
Step-by-step explanation:
Company X: 0.75 * 300 = 225 + 0 shipping
Company Y: 1.20 * 300 = 360 + 120 shipping = 480
480 - 225 = 255
A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:
Answer:
1 / 5
Step-by-step explanation:
Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6
The experimental probability of an event, A is given as :
P(A) = number of times A occurs / total number of trials
Therefore, the experimental probability of getting 2 ;
P(getting 2) = Number of times 2 occurs / total number of trials
P(getting 2) = 2 / 10 = 1/5
Can someone correct my work and answer/explain question C)
Marking Brainliest, 10 Points
Answer:
4 TOPPING WITH 5 CENTS LEFT
Step-by-step explanation:
A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so
3.5-0.75=2.75 (1 topping
2.75-0.75=2 (2 topping
2-0.75=1.25 (3 topping
1.25-0.75=0.5 (4 topping
there for you can get 4 toppings with 5 cents left over
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks) REPOST
Answer:
Step-by-step explanation:
peter can buy pack of nine pencils
6 divided by 1.68 =3.5
9 divided by 2.34=3.8
package 2 is just 0.3 more
it give 3 more pencils for 0.3
What is the value of x?
Answer:
126
Step-by-step explanation:
Answer:
126°
Step-by-step explanation:
x = (87+165)/2
x = 252/2
x = 126
Answered by GAUTHMATH
What is the order of rotational symmetry for the figure?
A. 1
B. 2
C. 3
D. 4 or more
The order of Rotational symmetry is 2 (option B) for the given figure.
What is order of rotational symmetry?It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.
The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.
If we rotate the picture by 90°or 270°, then it wont match the initial figure.
If we rotate the picture by 180° from initial, it will match the figure.
If we further rotate it by 180°( full 360° completed) , it will again match.
Hence, it matches 2 times in a single rotation.
Therefore it has rotational symmetry of order 2.
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Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
Answer:
m=4
Step-by-step explanation:
m = y2 - y1/x2 - x1
(y2=8, y1=0, x2= 2, x1=0)
m = y2 -y1/x2 - x1
= 8 - 0/2 - 0
= 8/2
=4
Can anyone describe the errors with the problems? For example the first answer is they did not distribute the negative
Answer:
see image
Step-by-step explanation:
using trig to solve for missing angle
Answer:
[tex]58.99[/tex]
Step-by-step explanation:
[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]
A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17
Answer: 290
Step-by-step explanation:
[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]
I have not say the equation in u(n+3) for the recurrence,
the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.
whats the perimeter and area of this shape?
Answer:
(4x4) + (6x11) = 82 for area
4+4+10+11+7+6= 42
Step-by-step explanation:
You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)
find the square root and of 1+i√3
find the square root and of 1+i√3
Simplify (b9)3. See picture please
Answer:
b^27
Step-by-step explanation:
Answer:
A. b^27
You multiply 9x3 and you get 27 with the base "b"
Step-by-step explanation:
Would be very happy if you helped.Don’t spam guys
[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]
Now
[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]
[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]
A fundraiser was held to split the profits between the 9 baseball players. How much money was raised if each player earned $326? Construct a division equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
Answer:
Part 1
The number of baseball players that are to split the profits = 9 baseball payers
The amount of money each player earned = $326
Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;
[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]
Part 2
Solving for the variable, gives;
x = 9 × $ 326 = $2,934
The amount of profits from the fundraiser, x = $2,934
Part 3
The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;
A = $2,934/9 = $326
∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct
Step-by-step explanation:
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
618 000 in standard form
6.18000 x 10 5
This is the standard form of 618,000
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Friends please give ,e the answer i have exam at 12.00 with workings .
Answer:
impossible
Step-by-step explanation:
The sum of the internal angles of the regular polygon and the theorem n-sided polygon is equal to: (n-2)×180° (n is greater than or equal to 3 and n is an integer)
when n=3,The internal angle sum is 180°
Find area of the cross section of the dam pictured below
Answer:
(w + h cotθ)hStep-by-step explanation:
Cross section is the isosceles trapezoid.
Area of trapezoid:
A = 1/2(a + b)hWe have one of the bases and the height.
Let the difference of the base lengths is x.
We have:
(x/2)/h = cot θ ⇒ x = 2h cot θThe area is:
A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)hA health food company makes its 'Superfood Blend' from whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. The blend ends up costing $16.35 per pound. If the company has 140 pounds of the whey protein on hand, how many pounds of the spirulina does it need to get in order to make the blend?
It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.
Used the concept of a system of linear equations that states,
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.
Example; ax + by = 0
Given that,
The cost of protein per pound = [tex]\$10.25[/tex]
The cost of powdered spirulina per pound = [tex]\$22.45[/tex]
And, the blend ends up costing [tex]\$16.35[/tex] per pound.
Let us assume that,
There are x pounds of protein and y pounds of spirulina in the mixture.
Hence, by given conditions the equation is,
[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]
[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]
Combine like terms,
[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]
[tex]6.1 y = 6.1x[/tex]
[tex]y = x[/tex]
Since the company has 140 pounds of whey protein on hand.
So, the amount of spirulina it needs to get in order to make the blend is,
[tex]y = 140\ \text {pounds}[/tex]
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