A triangle has a base length of 4ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a = 5 and c = 4.
Answers
The area of the triangle is 52,000 cm².
What is the area of the triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
Base = 4 x 5 x 4² = 320 Height = 320 + 5 = 325Area = 1/2 x 320 x 325 = 52,000 cm²
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Related Questions
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
Answers
Answer:
Step-by-step explanation:
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answers
Answer:
thirteen sixteenths
1. Los vacacionistas del hotel Mayan Palace tienen acceso al mar para
refrescarse, para su seguridad los empleados de este delimitan con una
cuerda con boyas un área rectangular de 600 metros cuadrados,
considerando que el largo tiene 10 metros más que el ancho. Determina la
longitud del ancho y del largo.
Answers
De Area=600m^2
Ancho=x
Largo=x+10
Sabemos que el Área de un rectangulo es = Largo por Ancho.
Area=(L)(A) =600
Sustituimos los valores.
Area=(x+10)(x)=600 efectuar
Area=x^2+10x=600 Formamos una ecuación cuadratica.
x^2+10x-600=0
(x+30)(x-20)=0 despejamos x.
x+30=0 donde x= -30 negativo.
x-20=0 donde x= 20 positivo.
Usamos el resultado positivo.
Respuesta:
x=Ancho=20 metros.
x+10=Largo= 20+10=30 metros.
If A - B = {2,4,6}, B - A = {0,1,3}, and A∪B = {0,1,2,3,4,5,6,7,8}. What is A∩B?
Answers
Answer:
{5,7,8}
Step-by-step explanation:
A-B = {2,4,6} => A={2,4,6}
B - A = {0,1,3} => B= {0,1,3}
A∪B = {0,1,2,3,4,5,6,7,8}
=> A = {2,4,5,6,7,8}
B= {0,1,3,5,7,8}
=> A∩B = {5,7,8}
A four-digit number is to be formed from the digits 1 through 8, with no digit being used more than once. How many such numbers would be less than 2589? course hero.
Answers
Answer:
I think it would be six
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Answers
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answers
Answer:
Abigail was four times faster in the skateboard than when she is walking
Step-by-step explanation:
Let the total distance to travel be d
distance traveled on skateboard = 2/3 * d = 2d/3
distance walked = 1/3 * d = d/3
So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.
Now, the speed on both trips is distance/time
For the snowboard trip, speed is 2d/3/t = 2d/3t
For the walking trip, distance would be;
d/3/2t = d/6t
So let’s compare these two speeds.
Obviously the speed on the skateboard is greater than that walking.
So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.
Thus, mathematically we have
2d/3t divided by d/6t
So that would be;
2d/3t * 6t/d = 4
So this means she was four times faster on the skateboard
hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?
Answers
Answer:
50 minutes
Step-by-step explanation:
Amount of time his journey took = 15km ÷ 18km/h
= 0.833h (to 3sf)
= 50 minutes
using an integral theorem, evaluate the integral ∮ u
n
dS in the following cases: u
=2(x i
+y j
+z k
) and S is the sphere x 2
+y 2
+z 2
=16. u
=xy i
+xz j
+(1−z) k
and S is unit cube bounded by x=0,y=0,z=0,x=1,y=1, and z=1.
Answers
The integral ∮u⋅dS is evaluated as follows:
1) For u = 2(x i + y j + z k) and S is the sphere x^2 + y^2 + z^2 = 16, the value of the integral is 0.
2) For u = xy i + xz j + (1−z) k and S is the unit cube bounded by x = 0, y = 0, z = 0, x = 1, y = 1, and z = 1, the value of the integral is 1/2.
In the first case, the vector field u = 2(x i + y j + z k) is a constant vector field. When integrating a constant vector field over a closed surface, such as the sphere x^2 + y^2 + z^2 = 16, the result is always zero. This is because the flux of a constant vector field through a closed surface is equal to zero.
In the second case, the vector field u = xy i + xz j + (1−z) k is not a constant vector field. To evaluate the integral over the unit cube bounded by x = 0, y = 0, z = 0, x = 1, y = 1, and z = 1, we need to calculate the flux of u through each face of the cube and sum them up. By applying the divergence theorem, we can convert the surface integral into a volume integral.
The divergence of u is given by div(u) = ∂(xy)/∂x + ∂(xz)/∂y + ∂((1−z))/∂z = y + x + 1. Integrating the divergence over the unit cube results in the volume integral of y + x + 1. Evaluating this integral gives (1/2)(1 + 1 + 1) = 3/2.
However, the unit cube has six faces, and each face contributes equally to the flux. Therefore, we need to divide the result by 6 to obtain the flux through each face. Hence, the final result is (3/2)/6 = 1/2.
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Please answer!
Find the lengths of the segments with variable expressions.
Answers
Answer:
EF = 8
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases , that is
x = \(\frac{x-5+2x-3}{2}\) ( multiply both sides by 2 to clear the fraction )
2x = 3x - 8 ( subtract 2x from both sides )
0 = x - 8 ( add 8 to both sides )
8 = x
Thus
EF = x = 8
AD = x - 5 = 8 - 5 = 3
BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13
A formula to find the angle measures of an isosceles triangle is shown. 180=2x+y Which equation can be used to find x?
A. \(x=\frac{180-y}{2}\)
B. \(x=\frac{180+y}{2}\)
C. \(x=90-y\)
D. \(x=90+y\)
Answers
-y = -y
180 - y = 2x
/2 = /2
180 - y /2 = x
The answer is A
please helpppppppppp me please
Answers
Answer:
WITH WHATttttt
Step-by-step explanation:
arge telescopes often have small fields of view. For example, the Hubble Space Telescope’s (HST’s) advanced camera has a field of view that is roughly square and about 0.06 degree on a side.
Calculate the angular area of the HST’s field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
Answers
The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!
Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.
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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answers
Answer:
She moved 3 to the left and 5 down.
She could have calculated each point seperately.
A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!
a stick has a length of $5$ units. the stick is then broken at two points, chosen at random. what is the probability that all three resulting pieces are shorter than $3$ units?
Answers
A stick has a length of 5 units and the stick is then broken at two points, chosen at random, then the probability that all three resulting pieces are shorter than 3 units is 16%.
Total length of the stick = 5 units
The stick is broken into pieces = 3
The equal length of the stick = 5/3
The equal length of the stick = 1.67
The probability that all three resulting pieces are shorter than 3 units = 2/5 × 2/5
The probability that all three resulting pieces are shorter than 3 units = 4/25
The probability that all three resulting pieces are shorter than 3 units = 0.16
The probability that all three resulting pieces are shorter than 3 units = 16%
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There are 5 yellow cards, 3 blue cards, and 7 red cards in a bag. A card is chosen at
random. What is the probability of choosing a yellow card and without replacing it,
choose blue card?
Answers
Answer:
0.714
Step-by-step explanation:
Argument
The total number of cards = 5 yellow. 3 blue and 7 red = 15 cards in all.
The probability of choosing a yellow card first is 5/15 = 1/3.
We are now down to 14 cards
There are 3 blue cards.
P(yellow then blue) = 1/3 * 3/14
P(yellow then blue) = 1/14 = 0.0714
Suppose that C and D are points on the number line. If CD = 11 and C lies at -8, where could D be located?
If there is more than one location, separate them with commas.
Answers
Explanation: -8+11=3 or -8-11=-19
How many solutions can be found for the equation 4x = 4x? (4 points)
Answers
Answer:
That would be infinity. Both sides of the equation are 4x. Therefore anything you plug in for x would work
State whether the slopes would represent parallel lines, perpendicular lines, or neither.
-4 and 1/4
8 and -8
7 and 17
2 and 2
Answers
Answer:
neither
Step-by-step explanation:
i am goung to assume that the quarter really is just a quarter unit on the y-axis
Answer:
The line with a slope of \((-4)\) is perpendicular to the line with a slope of \((1/4)\) since the product of the two slopes is \((-1)\).
Slope of \(8\) and slope of \((-8)\): neither parallel nor perpendicular.
Slope of \(7\) and slope of \(17\): neither parallel nor perpendicular.
The line with a slope of \(2\) is parallel to the other line of slope \(2\!\) since the two lines have the same slope.
Step-by-step explanation:
Two lines in a cartesian plane are parallel to one another if and only if their slopes are equal. Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is \((-1)\).
For example, a line with a slope of \(m\) is parallel to another line of the same slope, \(m\!\).
Since \((-m)\, (1/m) = -1\), a line with a slope of \((-m)\) would be perpendicular to a line of slope \((1/m)\).
At 11:30 AM. two people leave their homes that are 18 miles apart and begin walking toward each other. If one person walks at a rate that is 2 mph faster than the other andthey meet after 1.5 hours, how fast was each person walking?
Answers
Answer:
\(5\text{ mph and 7 mph}\)Explanation:
Let the speed of the first person be x mph and the speed of the second person be y mph
Since one person's speed is faster than the other, we can have:
\(y\text{ = \lparen x + 2\rparen mph}\)Mathematically, distance equals the product of speed and time
The time traveled by each person is 1.5 hours
The distance traveled by each of them is:
\(\begin{gathered} 1.5\text{ }\times\text{ x = 1.5x miles} \\ 1.5(x+2)\text{ = \lparen1.5x + 3\rparen miles} \end{gathered}\)The sum of the two equals 18 miles
Thus:
\(\begin{gathered} 1.5x\text{ + 1.5x + 3 = 3x + 3 = 18} \\ 3x\text{ = 18-3} \\ 3x\text{ = 15} \\ x\text{ = }\frac{15}{3} \\ x\text{ = 5 mph} \end{gathered}\)Recall;
\(y\text{ = x + 2 = 5 + 2 = 7 mph}\)This means that the first person was walking 5 mph while the second was walking 7 mph
Create ABC by drawing AC. AC represents the foreman’s line of sight to the top of the landfill. What is m
Answers
Where the above is given, the required angle m∠BAC = 45°.
In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC
What is triangle?The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°
According to conditions angle b = 90°
The sum of angles of a triangle= 180°
That is a + b + c = 180
Therefore, c = a
a = (180 - b)/2
= (180 - 90) / 2
= 90 / 2
= 45°
Hence, the required angle m∠BAC = 45°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?
Find a power series representation for the following function: 1 Co + C1x + c2x2+..., where 4 Co = C1 C2 = C3 = The radius of convergence R = Another way of writing this power series is : C 1 A) = хп 4" х n=0 B) (-1)" 4" n=0 1 xn C) - — - 4 4n+1 n=0
Answers
The power series representation for the given function 1 + C1x + C2x^2 + ... is:
A) Σn=0 Cn x^n.
The power series representation represents the function as an infinite sum of terms, where each term is a coefficient multiplied by x raised to a certain power. In this case, the coefficient for each term is represented by Cn, and x is raised to the power of n.
The radius of convergence, denoted as R, determines the range of values for x where the power series converges. Without the information provided about the values of Co, C1, C2, and the radius of convergence R, it is not possible to determine the specific representation of the power series or which of the provided options (A, B, or C) is correct.
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PLEASE HELP ME WITH THIS PROBLEM I WILL FAIL
Answers
Answer:
The answer is b
Step-by-step explanation:
Which problem solving strategy would be best to solve this problem?
You are decorating a rectangular table to surprise your friend with a party. The table is 4 feet by 10 feet. If you want to place a balloon in each corner and every 2 feet along the table, how many balloons will you need?
A. guess, check and revise
B. make a model or diagram
C. write an equation
D. make a table, chart or lis
SOME HELP PLZZZZ
Answers
Answer:
C. write an equation
Step-by-step explanation:
The best method would be to write an equation to solve this problem. This would be the best option because you are given all of the values/measurements of the table and the distance between balloons. Therefore, you would simply need to create an equation that calculates the perimeter of the table and divides a variable number of balloons 2 feet apart along the perimeter. Guessing is not a valid solution, especially when you are given actual data. Tables, Charts, and Lists are mainly used for large sets of data.
Answer:
Make a Model or Diagram
Step-by-step explanation:
What nominal interest rate compounded monthly is equivalent to
2.50% compounded quarterly? Round to two decimal places
Answers
Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.
To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.
The formula is:
r = (1 + i/n)^n - 1
Where:
r is the nominal interest rate compounded annually (we're looking for this),
i is the nominal interest rate compounded quarterly (2.50% in this case),
n is the number of compounding periods per year (4 for quarterly compounding).
Plugging in the values, we have:
r = (1 + 0.025/4)^4 - 1
Calculating this expression, we find:
r ≈ 0.025335
Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.
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2,4,10,12,14,16,18,20 mean absoulte devation
Answers
Answer:
5
Step-by-step explanation:
Answer:
Mean Absolute Deviation (MAD): 5
Step-by-step explanation:
How many pennies could you have if:
When you break the pennies into groups of 2, you have 1 penny left over AND when you break the pennies into groups of 3, you have 1 penny left over?
Answers
Answer:
The number of pennies owned is 7 pennies
Step-by-step explanation:
The given parameters are;
The number of pennies left over when we break the pennies into groups of 2s = 1 penny
The number of pennies left over when we break the pennies into groups of 3s = 1 penny
Let the number of pennies owned = c
What we are given are as follows;
2 × a = c - 1
3 × b = c - 1
2 × a = 3 × b
a/b = 3/2
Therefore, if we multiply 2 by 3, and 3 by 2 we get 6
2 × 3 = 6, similarly 3 × 2 = 6
If we put 6 = c - 1, we get;
c = 6 + 1 = 7
c = 7
The number of pennies owned = 7 pennies.
what is the value of the expression shown 24-52
Answers
Answer:
-28
Step-by-step explanation:
It is negative so:
52-24=28
-28
Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Answers
Answer: Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Step-by-step explanation:
answer quick plz!
It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend?