Answer:
12.5 sq units. Explanation: Area of a triangle with vertices (x1,y1),(x2,y2),(x3,y3) is 12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]. Using this formula ...
Step-by-step explanation:
you have to study
The value of the area of circle is,
Area = 15 units²
And, The value of perimeter is,
⇒ 6 + √34 + 5√2 Units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle with vertices A(4, 3) B(-2, 3) and C(-1, - 2).
Now, We know that;
Area of triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃) is,
= 1/2 [ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃(y₁ - y₂) ]
Hence, We get;
The value of the area of circle is,
Area = 1/2 [ 4 (3 + 2) - 2 (- 2 - 3) - 1 (3 - 3) ]
Area = 1/2 [ 20 + 10 ]
Area = 1/2 x 30
Area = 15 units²
We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Lenght of AB is,
AB = √ (- 2 - 4)² + (3 - 3)²
AB = √- 6²
AB = 6
BC = √ (- 2 - 1)² + (3 + 2)²
BC = √9 + 25
BC = √34
CA = √ (- 1 - 4)² + (- 2 - 3)²
CA = √25 + 25
CA = √ 50
CA = 5√2
Thus, The perimeter of triangle is,
⇒ AB + BC + CA
⇒ 6 + √34 + 5√2
Learn more about the triangle visit;
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-7b - 4(b + 7) = -3b - 4(b-2)
Answer:
b = -9
Step-by-step explanation:
-7b - 4(b + 7) = -3b - 4(b -2)
First we want to distribute the coefficients across the parentheses. To do so, we multiply the coefficient by every term within the parentheses.
-7b - 4(b + 7) = -3b - 4(b - 2)
-4 • b = -4b
-4 • 7 = -28
-4 • b = -4b
-4 • -2 = 8
Simplify the expression with these new values.
-7b - 4b - 28 = -3b - 4b + 8
Now we want to combine the like terms. First combine the variables.
-7b - 4b - 28 = -3b - 4b + 8
-11b - 28 = -7b + 8
Combine further by adding 7b to both sides.
-4b - 28 = 8
Combine the constants by adding 28 to both sides.
-4b = 36
Isolate b by dividing both sides by -4.
b = -9
This is your answer.
Check your answer by plugging b = -9 back into the original equation.
-7b - 4(b + 7) = -3b - 4(b - 2)
-7(-9) - 4(-9 + 7) = -3(-9) - 4((-9) - 2)
63 - 4(-2) = 27 - 4(-11)
63 + 8 = 27 + 44
71 = 71
Your answer is correct.
Hope this helps!
Answer:
-9 is the required answer of b
Step-by-step explanation:
-7b - 4(b + 7) = -3b - 4(b-2)
open bracket
-7b-4b-28=-3b-4b+8
-11b-28=-7b+8
-11b+7b=28+8
-4b=36
b=36/-4=-9
Please Hurry !!
The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.
Answer:
d = 711 miles
Step-by-step explanation:
The speed s of the car is given by :
[tex]s=3\sqrt{d}[/tex] ...(1)
Where
d is the stopping distance
We need to find the stopping distance of a car travelling at 80 mph.
Rearranging equation (1) for d.
[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]
or
d = 711 miles
So, the required stopping distance is 711 miles.
pls help!! brainliest if correct, 50 points awarded! look at the image! :)
thanks!
Answer: B and E
Step-by-step explanation:
Answer:
B C and E
Step-by-step explanation:
have a great day :D
Evan and Dorinda make bracelets for a craft fair. Evan makes 10 bracelets the first day and 8 bracelets each day after that. Dorinda makes 8 bracelets the first day and 8 bracelets each day after that. If they make bracelets for 6 days, how many bracelets will they make in all? a. 567 b. 987653 c. 8765 d.65
Answer:
98 bracelets
Step-by-step explanation:
Number of days, n = 6
Evan:
= 10 + 8(n - 1)
= 10 + 8(6 - 1)
= 10 + 8(5)
= 10 + 40
= 50 bracelets
Dorinda
= 8n
= 8(6)
= 48 bracelets
Total bracelets they will make in all = Evan + Dorinda
= 50 + 48
= 98 bracelets
Find the value of x. Round to the nearest whole number.
Answer:
A. 61 degrees
Step-by-step explanation:
tan x = 9/5
[tex]tan^{-1} x=1.8[/tex]
x≈60.9
What value of x makes the equation − 1 3 x + 6 = − 6 + 2 3 x true?
Answer:
4
Step-by-step explanation:
Plot and connect the points A (3, -3), B (-3, -2), C (-5, 1), D (-5, 4), E (-4 ,6), F (-2, 6), G (3, 2), and find the length of EF.
Given:
The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).
To find:
The length of EF and plot each point on a coordinate plane and connect them.
Solution:
Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.
From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is
[tex]D=\sqrt{(-2-(-4))^2+(6-6)^2}[/tex]
[tex]D=\sqrt{(-2+4)^2+(0)^2}[/tex]
[tex]D=\sqrt{(2)^2+0}[/tex]
[tex]D=2[/tex]
Therefore, the length of EF is 2 units.
You have to type up a 400 word paper. If you can type 25
words in 3 minutes, how long will it take you to type the
paper?
Answer:
48 minutes
Step-by-step explanation:
25=3 400/25=16x3=48
Answer:
48 minutes
Step-by-step explanation:
25 words - 3 minutes
400 words - x minutes
Cross multiply
25x = 400 x 3
25x = 1200
Divide both sides by 25
x = 1200/25
x = 48
(2,4) and (1,0). find the slope of each line the contains the given pair points
Answer:
4
Step-by-step explanation:
Formula to find slope: y - y1 / x - x1
0 - 4 ÷ 1 - 2
-4 ÷ -1
Slope = 4
Answer:
slope = 4
Step-by-step explanation:
y2-y1/x2-x1
0-4/1-2 = 4
please help me with question 1 and 2.
Answer:
1 cone
Step-by-step explanation:
2. rectangular prism
Answer:
the first one is a cone
Step-by-step explanation:
the second one is a rectangular prism
Maddie does not have any pretzels.
Zach gives abbey 8 pretzels. then he splits half the pretzels he has left with Maddie. Zach let's p represent the number of pretzels he starts with. He finds that the number of pretzels maddie has is 1/2 the difference of p and 8.
write an expression to represent the number of pretzels that maddie has.
Answer:
(p - 8) / 2 = Maddie's pretzels
Can I plz get help??? I this need the answer
Answer:
536.17 cubic yards
Step-by-step explanation:
Answer:
its 50.27
Step-by-step explanation:
its asking what the base is equal to, so u find basically the area of the base
PLEASE HELP ME
180=3x+45
Answer:
3x=180-45
3×=135
3x/3x=135/3x
=45x
1+1
Please help this is worth 80% of my grade
Answer:
2
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
So you take your numbers, 1 and 1.
You add them together 1+1.
You have your answer, 2.
find the median 60,62,64,54,56,28
Answer:
58
Step-by-step explanation:
you need to order all the numbers together:
28, 54, 56, 60, 62, 64
since the middle 2 are 56 and 60 you need to find the average of those.
(56 + 60)/2 = 58
what is a triangle with a 90 degree angle
Step-by-step explanation:
It's a right angled triangle.
Amber ran a 25 kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Draw a visual model to find the distance Amber ran each hour. Between which two whole numbers does the she ran each our lie
Answer:
Amber ran 8,333 kilometers during each hour, and the equation to determine that amount is 25/3 = X.
Step-by-step explanation:
Given that Amber ran a 25 kilometer road race in 3 hours, and she ran at the same speed and covered the same distance each hour, to draw a visual model to find the distance Amber ran each hour the following calculation must be performed:
25/3 = X
8.333 = X
So Amber ran 8,333 kilometers during each hour, and the equation to determine that amount is 25/3 = X.
what percent of 41 is 27.9
Answer:
68.048780487805
Step-by-step explanation:
or just 68.04 or just 68
The value of x is_____and the value of y is ___.
Answer:
x=60 y=50
Step-by-step explanation:
60+y=110
y=50
Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes.
Jayden ran 3 laps in 5 minutes.
How many minutes does it take Angel to run one kilometer?
I WILL MARK BRAINLIST
Answer:
5 minutes
Step-by-step explanation:
2 minutes per lap
2 minutes for 2/5 km = 1 minute for 1/5 lap
1 x 5/5 = 5 minutes
PLEASE HELP!
Find the sum of 12.4 and 372.6 using the correct number of significant digits.
A. 385
B. 385.0
C. 3850
D. 3850.0
Answer:
the answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
12.4+372.6=385
How many cubic meters of material are there in conical pile of dirt that has radius 9 meters and height 6 meters?Use 3.14 for pi
Answer:
V = 226.08 m³
Step-by-step explanation:
The formula for the volume of a cone of base radius r and height h is
V = (1/3)(πr²)(h).
In this case, r = 6 m and h = 6 m. Thus, the volume of this conical pile is
V = (1/3)(3.14)(6 m)²(6 m), or
V = 226.08 m³
Evaluate the expression below for m = 350.
3.5m
Answer: 1225
Step-by-step explanation:
Just plug in 350 for 'm':
3.5m
3.5m (350)
^^^^^^^^^^
times these two together, to get your final answer!
Multiply:
1225
#1 use the pythagorean theorem to find the missing side of each right triangle
Answer:
Step-by-step explanation:
1-13
2-8
please I need help I will give brainliest
Answer:
The two triangles are congruent, or equal to each other.
Step-by-step explanation:
In order to solve this question, you first need to compare the measurements. Since AB and PQ both equal 4 cm, you know that they are congruent. Since BC and QR are also congruent, you know that the last two have to be congruent as well. Therefore, the triangles ABC and PQR are congruent, or equal, to each other.
a national park is a rectangle that is 33 miles wide and 56 miles long.how long is a diagonal road through the park
9514 1404 393
Answer:
65 miles
Step-by-step explanation:
The Pythagorean theorem applies.
d^2 = 33^2 +56^2
d^2 = 1089 +3136 = 4225
d = √4225 = 65
The diagonal road is 65 miles long.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] - (x - 1) {}^{2} + 5[/tex]
Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is
[tex] - (x - 1) {}^{2} - 1[/tex]
F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.
[tex] - (x - 1) {}^{2} + 5[/tex]
What's the answer????!!!???
Answer:
3997
Step-by-step explanation:
JUST SEARCH IT UP0202000202×0]2]×
Janice and her cousin Linda are a little competitive about the relative merits of their home towns. One contest they had was to determine who had more rainy days. They found weather records on the internet and each of them randomly selected 60 days from the past 5 years. Janice found that there had been measurable rainfall on 17 of the 60 days she selected for Asheville, and Linda found that there had been measurable rainfall on 12 of the 60 days she selected for Lincoln. They intend to perform a test of significance on their data, using the hypotheses When calculating the test statistic, what expression would they use to estimate the standard deviation of the sampling distribution of the difference in proportions,
Answer:
Following are the equation to this question:
Step-by-step explanation:
[tex]\to \frac{\sqrt{(.24)(.76)}}{60} + \frac{(.24)(.76)}{60}\\\\\to \frac{\sqrt{0.1824}}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313+0.1824}{60} \\\\\to \frac{0.60948313}{60} \\\\\to 0.0101580522[/tex]
What is the approximate volume of the cylinder? Use 3.14 for it.
Answer:
226.08 cm^3 since volume
Step-by-step explanation:
Answer:
452.39
Step-by-step explanation:
The formula for volume is V=πr2h so you would add your numbers in and multiply (V=πr2h=π·42·9≈452.38934)