Answer: The perimeter is about 20.26 units
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance
[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis
[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis
For the given points:
B(0,3), C(4,-1), E(2,-3) and F(-2,1)
Calculating the distance BC:[tex]x_2=4\\x_1=0\\y_2=-1\\y_1=3[/tex]
Putting values in above equation, we get:
[tex]BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units[/tex]
Calculating the distance CE:[tex]x_2=2\\x_1=4\\y_2=-3\\y_1=-1[/tex]
Putting values in above equation, we get:
[tex]CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units[/tex]
To calculate the perimeter of a rectangle, we use the equation:
[tex]Perimeter=2(l+b)[/tex] ....(1)
where,
l = length of the rectangle = BC = 5.66 units
b = breadth of the rectangle = CE = 4.47 units
Putting values in equation 1, we get:
[tex]Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units[/tex]
Hence, the perimeter is about 20.26 units
What is true when a system of equations has no solution?
Answer:
the set of possible solutions is the empty set {}.
or, whatever the equations describe is impossible.
or,... there can be many answers, depending on whatever the context of this question is.
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial –16t2 + vt + h. Find the height of the ball after 2 seconds if it was kicked from the top of a 60 foot tall hill at 84 feet per second.
The height of the ball after 2 seconds is 100 feet.
What is the height function?
A height function exists as a function that quantifies the intricacy of mathematical objects. The height of an object, h(t), exists defined by the formula [tex]-16 t^{2}[/tex] + vt + h.
Given: Let, the polynomial equation be [tex]-16 t^{2}[/tex] + vt + h
h = 20 ft and v = 72 ft/s
y = [tex]-16 t^{2}[/tex] + 72t + 20
To estimate the height of the ball after 2 seconds
substitute the value of t = 2, then
y = -16 [tex]\times[/tex] 4 + 72 [tex]\times[/tex] 2 + 20
= -64 + 144 + 20
= 100 feet
The height of the ball after 2 seconds is 100 feet.
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The characteristic or value of a population that is under consideration is
called a(n)_____
parameter.
Answer: Population Parameter
The characteristic or value of a population that is under consideration is called a parameter, which represents a numerical summary of the population's attributes or features.
The characteristic or value of a population that is under consideration is called a parameter.
In statistics, a parameter refers to a numerical value that describes a specific characteristic of a population.
It is often used to make inferences or draw conclusions about the entire population based on a sample.
Parameters can include measures such as the population mean, population standard deviation, population proportion, or any other characteristic that helps describe the population of interest.
It is important to distinguish parameters from statistics, which are the corresponding values calculated from a sample and used to estimate or infer the population parameters.
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16 cm
13 cm
14 cm
CON
Answer:
84cm^2
Step-by-step explanation:
Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07
Correct answer: -0.07
Answer:
D. -0.07 to nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
11^2 = 7^2 + 8^2 - 2*7*8 cos O
cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)
= 8/-112
= -0.07143.
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth
A. 5
B. 5.8
C. 17.3
D. 8.7
Answer:
B) 5.8
Step-by-step explanation:
Which of the following choices will simplify 1 - 5(3 + 2.3)?
44
-60
-36
None of these choices are correct.
Given that 1-5(3+2.3)
follow BODMAS
1-15-11.5
-14-11.5
-25.5
Given the box plot, will the mean or the median provide a better description of the center
Un hombre compra un caballo por 50 dolares. Vende el caballo por 70 dolares. Despues vuelve a compar el caballo por 80 dolares. Y vuelve a venderlo de nuevo por 90 dolares. Al final, ¿cuanto obtuvo de ganancia?
Answer:
30 dólares es la ganancia neta.
Step-by-step explanation:
En la primera transacción, el hombre está perdiendo 50 dólares:
1. -50 dólares
En la segunda transacción, el hombre gana 70 dólares:
2. -50 + 70 = +20 dólares
En la tercera transacción pierde 80 dólares:
3. 20 - 80 dólares = -60 dólares
Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:
4. -60 dólares + 90 dólares =
30 dólares es la ganancia netaConvert r=53sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
[tex]y = \frac{1}{3} x + \frac{5}{3}[/tex]
Step-by-step explanation:
r = 5/(3sinθ-cosθ)
multiply both sides by (3sinθ-cosθ):
r(3sinθ-cosθ) = 5
expand:
3rsinθ-rcosθ = 5
replace rsinθ with y and rcosθ with x:
3y-x = 5
add x to both sides:
3y = x + 5
divide both sides by 3:
y = 1/3x + 5/3
: )
A rectangular playground is 8 meters wide. It is 3 times as long as it is wide. What is the area of the playground?
Answer: 192
Step-by-step explanation:
3 x 8 = 24
24 x 8 = 192
Diane must choose a number between 61 and 107 that is a multiple of 4,7, and 14 . Write all the numbers that she could choose.
Answer:
84
Step-by-step explanation:
only three number are a multiple of 14
14 * 5 = 70
14 * 6 = 84
14 * 7 = 98
neither 70 nor 98 is a multiple of 4
only 84 is a multiple of 4, 7 and 14
help please which number goes with each number?
rainbowgoldfish123 maybe u can help
if u ever need help again, feel free to ask!
What do u need help with LOL
P (-2,6), Q (9,6), R (7, -1), S (-4, -1) are the vertices of a quadrilateral.
i) Using a scale of 1cm to 1 unit on each axis, plot the quadrilateral.
(5 marks)
ii) Name the type of quadrilateral ..........................................
(1 mark)
iii) Reflect the quadrilateral using the line y = -1
Step-by-step explanation:
Parallelogram
Reflect y=-1 ;x changes sign
Given the right triangle below what is x? Triangle Side #1 is 4 Triangle Side #2 is 10 Answers: A. 9.2 B.10.8 C. 84 D. 116
Answer:
9.2
Step-by-step explanation:
Using the pythagoras therorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 _+ x^2
100 = 16 + x^2
x^2 = 100 - 16
x^2 = 84
x = √84
x = 9.2
Hence the value of x is 9.2
Solve for x. Help me out because I haven’t been paying attention all year
Answer:
x = 18
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x)6 = (8+10)* 8
6*(6+x) = 8(18)
Divide each side by 6
6+x = 8(18)/6
6+x = 8*3
6+x = 24
Subtract 6 from each side
6+x-6 =24-6
x = 18
what is x in the equation 3x+4=2x+6?
Answer:
x= 2
Step-by-step explanation:
Answer:
3x + 4 = 2x + 6
3x +4 - 2x - 6 =0
x - 2 = 0
x = 2
3(2) +4 = 2(2) + 6
6 + 4 = 4 + 6
10 = 10
3x+2=2x+6
subtracting 2 from both sides
3x+2-2=2x+6-2
3x=2x+4
subtracting 2x from both sides
3x-2x=2x-2x+4
x=4
Solve for x. Round your answer to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
(cos^-1)(17/18)
the GCD of three numbers is 30 and there LCM is 900 Two of the numbers are 60 abd 150 .what is the least possible value of the third number
Answer:
180
Step-by-step explanation:
What is the slope of the graph of 3x - 7y = 10 *
3/7
O-37
O 3
O -7
Answer:
Step-by-step explanation:
Solve this for y to determine the slope. Solving for y gets our line into the slope-intercept form, y = mx + b, where the number value of m will be the slope.
-7y = -3x + 10 and
[tex]y=\frac{-3}{-7}x+\frac{10}{-7}[/tex] which simplifies down to
[tex]y=\frac{3}{7}x-\frac{10}{7}[/tex]
The value for m is 3/7 so that is the slope, the first choice given.
A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement could describe the diver's movements?
Answer:
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Step-by-step explanation:
Using the 2 + (-20) + 8 to describe movement relative to sea level ;
2 can be taken as the starting point, positive values represents elevation above sea level ;
2 can be taken as 2 feet platform above sea level ;
- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)
(-20 + 2) = - 18
8 feets means a final elevation of 8 above sea level (positive value).
PLEASE HELP SHOULD BE EASY!! WILL GIVE BRAINLIEST
.........................
Answer:
I believe the answer will be 6. Here's why.:
Step-by-step explanation:
The total volume of the rectangle is 24 inches. 4in x 6in= 24 in. Then there is a half semi-circle. So 24/2=12. The circle is called a circumference and since there is a half, that is called a diameter. I am not sure if my reasoing is correct, but I gave it try.
Is this polynomial positive or negative?
Answer:
The polynomial is positive.
PLZ ANSWER, I'LL GIVE BRAINLIEST TO BEST EXPLAINATION!!
I need to finish by tonight!
Answer:
- 1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = - 1[/tex]
because 3² = 9
and root {1} = 1
Solve the variables. See the photo below.
Answer:
[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]
Step-by-step explanation:
1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;
2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3
Answer:
x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]
Step-by-step explanation:
solving for x
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]
do cross multiplication
[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]
[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]
root 2 and root 2 gets cancel.Then ,
x = 4
solving for y
take 60 degree as reference angle
using sin rule
sin 60 = opposite / hypotenuse
[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]
just now we found the value of x i.e 4 now substitute the value of x here.
[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]
do cross multiplication
[tex]2*4 = y * \sqrt{3}[/tex]
[tex]\frac{8}{\sqrt{3} } = y[/tex]
Solve for. . Write your answer as “x=__”
Answer:
x=50
Step-by-step explanation:
Since it's a straight line, 3x-20+x=180. 4x=200, x=50
What’s the range of 27, 28, 34, 34, 40, 43, 47, 50
Answer:
23
Step-by-step explanation:
you subtract 50 the max number from 27 the Lowest number
Go step by step to reduce the radical. 112
Answer:
4 sqrt(7)
Step-by-step explanation:
sqrt(112)
We know sqrt(a*b) = sqrt(a) sqrt(b)
Look for perfect squares
sqrt(16*7)
sqrt(16)sqrt(7)
4 sqrt(7)
Answer:
4√7
Step-by-step explanation:
√112
we know that ( a × b) = √a √ b
[tex] \small \sf \: \sqrt{16 \times 7} [/tex]
√16 × √7
4√7
15 points!
What is the equation of a circle with center (-3,2) and radius 4?
(x - 3)² + (y + 2)² = 16
(x - 3)² + (y + 2)² = 2
(x - 2)² + (y - 3)² = 4
(x + 3)² + (y + 2)² = 2
(x + 3)² + (y - 2)² = 16
(x - 3)² + (y - 2)² = 4
Answer:
(x+3)² + (y-2)² = 16
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center, and r the radius.