Answer:
a. ΔABC is an isosceles triangle
b. ΔABC is a right triangle
c. The perimeter of ΔABC is approximately 10.8
Step-by-step explanation:
The given vertices of the polygon, are;
A(1, 4), B(4, 5), C(5, 2)
By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant
The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;
[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The length of segment, [tex]\overline {AB}[/tex] = √((5 - 4)² + (4 - 1)²) = √10
The length of segment, [tex]\overline {AC}[/tex] = √((2 - 4)² + (5 - 1)²) = √20
The length of segment, [tex]\overline {BC}[/tex] = √((2 - 5)² + (5 - 4)² = √10
The length of segment, [tex]\overline {AB}[/tex] = The length of segment, [tex]\overline {BC}[/tex], therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length
ΔABC is an isosceles triangle
b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side
In if triangle ΔABC is a right triangle, we should have;
[tex]\overline {AB}[/tex]² + [tex]\overline {BC}[/tex]² = [tex]\overline {AC}[/tex]²
Checking gives;
(√10)² + (√10)² = 10 + 10 = 20 = (√20)²
Whereby [tex]\overline {AB}[/tex]² (= (√10)²) + [tex]\overline {BC}[/tex]² (= (√10)²) = (√20)² = [tex]\overline {AC}[/tex]², ΔABC is a right triangle
ΔABC is a right triangle
c. The perimeter of ΔABC = The length of segment, [tex]\overline {AB}[/tex] + The length of segment, [tex]\overline {AC}[/tex] + The length of segment, [tex]\overline {BC}[/tex]
∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753
By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.
helppp pleaseee:(im failing
Answer:
1.o5 I fell i I'm in heven
Find the range of the data set: 400, 340, 870, 400
Answer:
530 870-340=530
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
Range means when you do the highest number takeaway from the smallest number.
870-340=530.
hope this helps,have a great day!!
~Pinky~
Item 8
Find the surface area of the prism.
Answer:
[tex]324~ m^2[/tex]
Step-by-step explanation:
[tex]Given: L=9m, ~B=9m,~H=4.5[/tex]
[tex]Surface ~area= 2(LB+BH+HL)[/tex]
[tex]2(9*9+9**4.5+4.5*9)[/tex]
[tex]2(81+40.5+40.5)[/tex]
[tex]2*162[/tex]
[tex]324m^2[/tex]
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hope it helps...
have a great day!!
Question is in answer! Thank you and have a good day/night! No links!!
Answer:
3. $3 + (5 * $3) = a, that is the answer
PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?
Answer: MARK AS BRAINLIST PLZ:)
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Step-by-step explanation:
HOPE IT HELPS BRAINLIST
what is the value of 100 3/2
Hint: its not 203/2 or 101.5
its was 101.5 try it that's the answer
The Table below is a data set that lists how many pairs of shoes are owned by some of your classmates.
Using the data set, what is the median?
Answer:
7.5
Step-by-step explanation:
To find the median, first order the numbers from least to greatest:
2, 4, 5, 7, 8, 8, 10, 12
Then, find the middle number (number in the middle):
There are 2 middle numbers. 7 and 8.
Because there are 2 numbers, we need to find the average. If there was only one number, that would be the median.
To find the average, add 7 and 8. Then, divide the sum by 2 because there are 2 numbers;
7 + 8 = 15
15 / 2 = 7.5
Have a nice day!
How many ways can you arrange the letters in the word Vacuum?
Answer:
The answer is 360 ways
Step-by-step explanation:
Answer:
720 arrangements
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
Step-by-step explanation:
Find the area of the figure.
9514 1404 393
Answer:
7 square inches
Step-by-step explanation:
We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.
The triangle area is ...
A = 1/2bh
A = 1/2(3 in)(4 in) = 6 in²
The square area is ...
A = s²
A = (1 in)² = 1 in²
Then the total area of the figure is ...
1 in² + 6 in² = 7 in²
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:
????
What's the question here? I would love to help!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year. How many helmets did the company sell in their first year?
sports Inc sold more helmets
HELP ASAP! Find the area of the shaded region.
Answer:
73.4
Step-by-step explanation:
the answer is 73.3966
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units
Answer: C 6 units
Step-by-step explanation: Edg
1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee
Answer:
y = (x - 2)² - 9
Step-by-step explanation:
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 - 5
y = (x - 2)² - 9
How do i solve problems like this
Answer:
x = - 2
Step-by-step explanation:
Find the area of the circle. Leave your answers in terms of pi.
Answer:
49pi m^2
Step-by-step explanation:
Area of circle=pi r^2
D=2r=14
r=7
Area of circle =7^2pi=49pim^2
Answer:
Step-by-step explanation:
The diameter = 14m
r = d/2
r = 14/2
r = 7
Area = pi * r * r
Area = 7 * 7 * pi
Area = 49 pi
Point A(2, 5) is dilated from the origin with scale factor 3 , resulting in point A′ . Darius says the coordinates of point A′ are (6, 15) . Marcia says the coordinates of point A′ are (4, 13) . Who is correct?
Answer:
It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.
1*3 = 3, so A' (the dilated point) should be 3 units down from P.
2*3 = 6, so A' should be 6 units to the left of P.
It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!
helppppppppppppp pla
Answer:
20 X 6 would be the answer.
5. A number or symbol multiplied with a variable
Answer:
Coefficient
Step-by-step explanation:
Find the values of x and y write your answers in simplest form.
13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble
Answer:
a) 9 / 200
b) 13 / 100
Step-by-step explanation:
a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.
Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).
There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200
b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.
There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.
Answer:
3
Step-by-step explanation:
fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
hii someone pls help me, I’m confused
Answer:
A, B, and D
Step-by-step explanation:
A, B, and D
Answer:
m²+m²+m²+m²
m⁸
4m²
Step-by-step explanation:
The equation is basically asking what is the same as m² times 4
Can someone please help I will give brainliest!!! It’s due tonight
Answer:
1738
Step-by-step explanation:
ya I honestly think that the binomial of the quadriceps and triceratops are
factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]
Step-by-step explanation:
x²+3x-10 =
(x+5)(x-2)
______
Please help me be genuine no Links I really need help please don’t be fake I really need it :(!
Answer: 2/3
Step-by-step explanation:
Probiability is really easy. First you need to count all the numbers like in yours.: 12 numbers. next you need to make a fraction like the number it is asking... Sience their are 8 shaded parts you write 8/12. Now you simpify 8divided 4 is 2. And 12 divided by 4 is 3. Answer 2/3
whats the value of x
Answer:
55°
Step-by-step explanation:
x + 35° = 90°
x = 90° - 35°
x = 55°
What is the inequality 3 - 2x > 5 is equivalent to?
Answer:
-2x > 2
x < -1
Step-by-step explanation:
30 Points
Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?
Step-by-step explanation:
1:4=.25 or 25%
so 12/47=.25 or 25%
24/120=.2 or 20%
that ratio does not match the height ratio
Sarah's scale is reasonable.
What is a scale drawing?
A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.
Is Sarah's scale reasonable?The first step is to determine the how larger the paper is in terms of the painting.
48 / 12 = 4
120 / 24 = 5
This makes her scale of 1 in to 4 in reasonable.
To learn more about scale drawings, please check: https://brainly.com/question/26388230