Calculate the perimeter of quadrilateral ABCD. (Hint: use distance formula}
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) ~\hfill AB=\sqrt{[ -1- (-5)]^2 + [ 6- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ B(\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill BC=\sqrt{[ 3- (-1)]^2 + [ 2- 6]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]
[tex]C(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill CD=\sqrt{[ -1- 3]^2 + [ -2- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-5}~,~\stackrel{y_2}{2}) ~\hfill DA=\sqrt{[ -5- (-1)]^2 + [ 2- (-2)]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]
[tex]~\dotfill\\\\ \sqrt{32}\implies \sqrt{16\cdot 2}\implies \sqrt{4^2\cdot 2}\implies 4\sqrt{2}\implies \stackrel{\textit{four times that much}}{4(4\sqrt{2})\implies \blacksquare~~ 16\sqrt{2} ~~\blacksquare}[/tex]
It's a rhoumbus as AC and BD both diagonals are perpendicular to each other .
Find one side
A(-5,2)D(-1,-2)AD
√(-1+5)²+(2+2)²√4²+4²4√2So
Perimeter
4a4(4√2)16√2unitsWhat is the value of 45÷15+2⋅3?
9
8
15
2
Answer:
9
Step-by-step explanation:
By BODMAS rule,
45 ÷ 15 + 2 ⋅ 3
= ( 45 ÷ 15 ) + ( 2 ⋅ 3 )
= 3 + ( 2 ⋅ 3 )
= 3 + 6
= 9
Note : -
B - Bracket
O - Of
D - Division ( step 1 )
M - Multiplication ( step 2 )
A - Addition ( step 3 )
S - Subtraction ( step 4 )
Answer:
the answer is 9
Step-by-step explanation:
45/15 = 3
2*3=6
3+6=9
LOOK AT PICTURE BELOW
whats the answer to a(4a + 3)
Answer:
4a² +3a
Step-by-step explanation:
4a x a =4a²
3 x a= 3a
Answer: The answer to that question would be 4a^2+3a
Step-by-step explanation:
Multiply using the distributive property.
Search : what's the answer to a(4a + 3)
What volume of ice cream could fit inside
this cone?
Answer:
about 89.91 cubic cm
Step-by-step explanation:
[tex] \frac{1}{3} \pi( {3}^{2} ) \sqrt{ {10}^{2} - {3}^{2} } [/tex]
[tex] \frac{1}{3} \pi(9) \sqrt{100 - 9} [/tex]
[tex]3\pi \sqrt{91} = 89.91[/tex]
a rectangle has a height of 4x and a width of 3x + 1
express the area of the entire rectangle (expression should be expanded)
Answer: X should just equal 1 therefore the area of the triangle is 16
Step-by-step explanation:
4(1) * 4= 16
3(1)+1= 4 ^^^
Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)
Answer:
[tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]Step-by-step explanation:
Step 1:
Simplify: [tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]Checking for a perfect cube:
4x⁴ - 4x² - x - 3 is not a perfect cube.Trying to factor by pulling out:
Factoring: 4x⁴ - 4x² - x - 3 Thoughtfully split the expression at hand into groups, each group having two terms:Group 1: - x - 3 Group 2: 4x⁴ - 4x³ Pull out from each group separately:Group 1: (x + 3) • (-1)Group 2: (x² - 1) • (4x²)Bad news!! Factoring by pulling out fails:The groups have no common factor and can not be added up to form a multiplicationFinal result:
[tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]Find the Surface area
Answer:
12057.6
Step-by-step explanation:
formula is 3.14*r^2*h/3
there are 90 sixth-graders and 75 seventh graders and 15 groups how many students are in each group of their grade level be in their group?
Answer: 11 students in each group
Step-by-step explanation: I answered the other one but u do 90 + 75 which is 165 and then divide by 15
165 divided by 15 is 11 students in each group
Jack went to the store to buy orange juice. The one-liter container was $2.99. The one-quart container was the same price. Which is the better buy?
help plss
The one-quart container is the better than one-liter container
What is measurement?
Measurement refers to the comparison of an unknown quantity with a known quantity. The result of the measurement is a numeric value with certain units.
The One- Lite Container is better than the One Quart Container.
One Liter = 1000 ml
and, 1 quart= 946.353 ml
So, One-quart< One Liter
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For the following, determine the value of the discriminant and hence sketch the parabola using the most efficient approach. Label all intercepts and the vertex.
y=25x^2 −30x+9
Answer:
discriminant(∆) = 0
vertex and intercept labeled on the graph below
NOTE: the x-intercept is the vertex
Step-by-step explanation:
Comparing [tex]y = 25x^{2} - 30x + 9[/tex] with [tex]y = ax^{2} − bx + c[/tex]
Thus,
a=25 b = -30 and c = 9
[tex]discriminate (d) = b^{2} - 4ac\\d = (-30)^{2} - 4(25)(9)\\[/tex]
the ' - ' when squared becomes '+'
d = 900 - 900
d = 0
Thus, the value of discriminant(∆) is 0
Find the length of a ladder which is 3 feet from the base of the wall and reaches 8 feet up the wall.
Answer:
√55
Step-by-step explanation:
Using the Pythagorean Theorem:
3 squared equals 9, and 8 squared equals 64. 64-9=55.
volume of the cylinder=?
Answer:
628.32
Step-by-step explanation:
Volume:
πr2h
=π×52×8
= 200π
= 628.31853071796
rate= 5 mi
height= 8 mi
to find:the volume of the cylinder.
solution:[tex]v =\pi {r}^{2} h[/tex]
[tex]v = \pi \times {5}^{2} \times 8[/tex]
[tex]v = 628.3185307 \: {mi}^{3} [/tex]
[tex]v = 628.3 \: {mi}^{3} [/tex]
therefore, the volume of the cylinder is 628.3 cubic miles.
help me please please asap help me
Answer:
36ft
Step-by-step explanation:
3ft + 3ft x 6 = 36ft
What is the slope of a line parallel to the line whose equation is
12x – 2y = 28. Fully simplify your answer.
Im really not sure how to do this and the internet isn’t helping me. I would really appreciate some help because I’m failing math and don’t understand. I can’t focus and I could just really use some help. Thank you so much!
y=6x-14
answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
HELP PLEASE WHAT IS THE X INTERCEPT
The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
Let us learn more about the x-intercept along with its formula and examples.
What is X Intercept?In the linear equation, we read that the general form is represented as y = mx + b, where m and b are constants. The x-intercept is the point or the coordinate from where the line crosses and that lies at the x-axis of the plane. This means the y-coordinate value of the respective linear equation will always be equal to 0 when it crosses the x-axis. For x-intercept, the y-coordinate is zero and for the y-intercept, the x-coordinate is zero. the x-intercept is also known as horizontal intercept.
X Intercept FormulaThere are various formulas and equations associated with intercepts. Below listed are a few general formulas mostly used. All these formulas are derived by substituting y = 0 in the equation and solving for x.
The general form of a straight line is: ax+by+c=0, where a,b,c are constants. The x intercept of the line can be obtained by putting y = 0, x-intercept = −c/aThe slope-intercept form of a straight line is: y = mx+c, where m is the slope of the line and c is the y-intercept. The x-intercept of the line can be obtained by putting y=0, x-intercept = −c/mThe point-slope form of a straight line is y−b = m (x−a), where m is the slope of the line, (a,b) is a point on the line. The x-intercept of the line can be obtained by putting y = 0, x-intercept = (am−b)/m.The intercept form of a straight line is x/a + y/b = 1 where (a, 0) is its x-intercept and (0, b) is its y-intercept.X Intercept on a GraphTo find the x-intercept of a line of the form y = mx+b, substitute y = 0.
Example: To calculate the x-intercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line.
Solution:
0 = 2x−4
4 = 2x
2 = x
So, the x-intercept of the line y=2x−4 is 2
Similarly, by substituting x = 0, we can find the y-intercept
y = 2(0)−4
y= -4
Evaluate the given integral by changing to polar coordinates. 49 − x2 − y2 darwhere r = (x, y) | x2 y2 ≤ 49, x ≥ 0
The value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have the integral:
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA[/tex]
Where, r = (x, y) | x2 y2 ≤ 49, x ≥ 0
The polar coordinate will be:
x = rcosθ
y = rsinθ
Where x²+y²= r²
Put the value of x and y in the integral, and the limits will be:
r²≤49 or 0≤r≤7, -π/2≤θ≤π/2 ( since x ≥0)
dA = rdrdθ
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \int\limits^{\dfrac{\pi}{2}}_{\dfrac{-\pi}{2}} \int\limits^7_0 {\sqrt{49-r^2]} \, rdrd\theta[/tex]
After solving the double integration, we will get:
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \dfrac{343}{3} \pi[/tex]
Thus, the value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0
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Hi,
Can you help me work out the total outer surface area of this cylinder? The final answer needs to be in pi. This is the diagram:
Answer:
78π m²
Step-by-step explanation:
Formula for surface area of a cylinder is 2(πr²) + (2πr)(h)
r: This is the radius of the circle (3 in your case)
h: The height of the cylinder (10)
2(πr²): This is the area of the 2 circles on each end of the cylinder
(2πr)(h): This is the circumference of the circle, multiplied by the height. This is the cylinder itself (without the ends).
We will substitute r and h for the appropriate values.
2(πr²) + (2πr)(h)
2(π(3²)) + (2π3)(10)
2(9π) + (6π)10
18π + 60π
78π
That is the answer thank you for coming to my brainly explanation
78m²
hope this helps
not nat
Using similar logic and based on what you have learned, what is the volume in cubic yards of one of the small cubes? In other words, how many cubic yards are in one cubic foot?
Practice
Two solid shapes. The first is a cube with a side length of 1 yard. The second is a cube made of unit cubes with a side length of 3 feet. One of the unit cubes is shaded and has a question mark on it.
The solid shapes are illustrations of volumes, and there are 1/27 cubic yards in 1 cubic foot
How to determine the number of cubic yards in one cubic foot?The given shapes are cubes.
So, the volume of each cube is:
V = l³
Where l represents the length of each cube
For the first cube with side length of 1 yard, the volume is:
V = (1 yd)³
Evaluate
V = 1 yd³
For the second cube with side length of 3 feet, the volume is:
V = (3 ft)³
Evaluate
V = 27 ft³
This means that:
1 yd³ = 27 ft³
Let the number of cubic yard in 1 cubic foot be x.
So, we have:
1 yd³ = 27 ft³
x yd³ = 1 ft³
Cross multiply
27 ft³ * x yd³ = 1 yd³ * 1 ft³
Cancel the units
27x = 1
Divide both sides by 27
[tex]x = \frac{1}{27}[/tex]
Hence, there are 1/27 cubic yards in 1 cubic foot
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A square has sides of 2x + 3. If a rectangle is made up of three of these squares, which expression would represent the perimeter of the rectangle?
A.
6x + 9
B.
8x + 12
C.
12x + 18
D.
16x + 24
Answer:16X + 24 D
Step-by-step explanation:
Length of rectangle = 3(2X + 3) = 6X +9
Width = 2X + 3
Perimeter = 2(Lengtb + Breadth)
= 2(6X +9) + 2(2X +3)
What is the value of 2.4×27.316
Answer:
65.5584
Step-by-step explanation:
if you forget about the decimal place so you end up with
24 x 27316 you can complete that as long multiplication which youll end up with 655584.
then you count how many numbers you have after the decimal point in your equation and add them together so 2.4 has 1 (the 4) and 27.316 has 3 (the 3,1 and 6) which add 1 + 3 = 4
so you find the decimal place on your answer and you count back 4 places so
1 place ) 65558.4
2 place ) 6555.84
3 place ) 655.584
4 place ) 65.584
they hey presto youve multiplied with decimal places !
Gabriel is making bread, and his recipe calls for 4/6 cups of flour. however, he has only a 1/3 -cup measuring scoop. how many times will gabriel need to use his measuring scoop to make the bread?
Answer:
twice
Step-by-step explanation:
[tex]\frac{4/6}{1/3} =\frac{(4)(3)}{(1)(6)} =12/6 = 2[/tex]
Hope this helps
The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Gabriel is making bread, and his recipe calls for 4/6 cups of flour. in any case, he has just a 1/3 cup estimating scoop.
Then the number of times that Gabriel needs to use his measuring scoop to make the bread will be given as,
⇒ (4/6) / (1/3)
⇒ (4/6) x (3/1)
⇒ 4 x 3 / 6
⇒ 12 / 6
⇒ 2 times
The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.
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consider the following function G(x) = 2 (x-3)
Find G(4) + G (5)
A proton moves in a circular orbit of radius 65 cm perpendicular to a uniform magneticfield of magnitude 0. 75 t
The speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].
What is the speed of the proton?For the speed of a proton that has been accelerated from rest, we would apply the work-energy theorem:
A proton moves in a circular orbit with a radius of 65 cm that is perpendicular to a uniform magnetic field of magnitude 0.75 T.
The speed of the proton is given by the following formula;
[tex]\rm V=\dfrac{2\pi R}{T}\\\\V=\dfrac{2 \times 3.14 \times 0.65m }{87.4ns}\\\\V =4.7 \times 10^7 \ meter \ per \ second[/tex]
Hence, the speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].
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Please help and explain
Hell pleaseeee!! :))
Answer:
see the attachment!
1. WILL GIVE BRAINLIST TO BEST ANSWER
Based on the data what would be the expected test score for a student that studies for 80
Answer:
90/100
Step-by-step explanation:
if you look at the graph on the bottom part it tells you the study time if you line it the left side which says the test score. so if they studied for 80 mins they are expected to have the score of between 85 and 90.
A survey showed that the probability that an employee gets placed in a job that is suitable for the employee is 0.65. A psychometric test consultant claimed that he could help place any employee in a suitable job based on the result of a psychometric test. An employee working in a particular company decides to take this test. The test has an accuracy rate of 70%. This data is represented in the tree diagram.
12
Select the correct answer.
Which of these probability values fit the tree diagram?
A.
P(A) = 0.35, P(B) = 0.65, P(C) = 0.70, P(D) = 0.30, P(E) = 0.30, P(F) = 0.70
B.
P(A) = 0.35, P(B) = 0.65, P(C) = 0.70, P(D) = 0.30, P(E) = 0.70, P(F) = 0.30
C.
P(A) = 0.35, P(B) = 0.65, P(C) = 0.30, P(D) = 0.70, P(E) = 0.70, P(F) = 0.30
Answer:
A survey shows that the probability that an employee gets placed in a suitable job is 0.65.
So, the probability he is in the wrong job is 0.35.
The test has an accuracy rate of 70%.
So, the probability that the test is inaccurate is 0.3.
Thus, the probability that someone is in the right job and the test predicts it wrong is 0.65 x 0.3 = 0.195
The probability that someone is in the wrong job and the test is right is
0.35 x 0.7 = 0.245
Measure each angle using a protractor
Answer:
90*
Step-by-step explanation:
In a fish tank, 1/5 of the fish are guppies and 1/12 of the fish are goldfish. Which equation most closely estimates the fraction of fish that are guppies or goldfish in the fish tank?
Answer:
[tex] \frac{1}{4} + 0 = \frac{1}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{5} + \frac{1}{12} = \frac{12}{60} + \frac{5}{60} = \frac{17}{60} [/tex]
1/5 is close to 1/4, 1/12 is close to 0, so
1/5 + 1/12 = 17/60, which is close to 1/4.
