9
Triangle UVW, with vertices U(3,-6),
V(9,-8), and W(7,-2), is drawn inside a
rectangle, as shown below.
y
2
1
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
W
-2
-3
-4
-5
-6
U
-7
-8
V
-9
-10
What is the area, in square units, of
triangle UVW?

9Triangle UVW, With Vertices U(3,-6),V(9,-8), And W(7,-2), Is Drawn Inside Arectangle, As Shown Below.y21-2-112345678910-1W-2-3-4-5-6U-7-8V-9-10What

Answers

Answer 1

The Area of Triangle UVW be 16 squared units.

What is Area of Triangle?

The area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Area of triangle I = [tex]\frac{1}{2} *b*h[/tex]

                            = 0.5  x 4 x 4

                          = 8 units

Area of triangle II= [tex]\frac{1}{2} *b*h[/tex]

                            = 0.5 x 2 x 6

                           = 6 units

Area of triangle III = [tex]\frac{1}{2} *b*h[/tex]

                              = 0.5 x 2 x 6

                              = 6 units

Area of rectangle = length x breadth

                               = 6 x 6

                               = 36units

Area of triangle UVW = Area of rectangle -(Area triangle I + Area of                          

                                      triangle II +Area of triangle III)

                                   = 36 - ( 8 + 6 + 6)

                                   = 36 - 20

                                   = 16 square units

Hence the Area of Triangle UVW = 16 square units.

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Related Questions

What volume of ice cream could fit inside
this cone?

Answers

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]

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

Answers

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 medical sales representative of a certain antibacterial cream ask people who visited their kiosk whether they have tried to use their brand before. What sampling technique was used in this situation?

Cluster Sampling
Volunteer Sampling
Stratified Sampling
Simple Random Sampling

Answers

The answer is Volunteer sampling

The sampling technique that was used in the situation is (d) Simple Random Sampling

How to determine the sampling technique?

From the question, we understand that all people that visited the kiosk were asked the same question.

The people that visited the kiosk have equal chance of being selected.

This type of selection or sampling is a simple random sampling

Hence, the sampling technique that was used in the situation is (d) Simple Random Sampling

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help me, please......

Answers

Answer:

(x, y ) → (x - 4, y + 8 )

Step-by-step explanation:

4 units left in the x- direction means subtract 4 from the x- coordinate

8 units up in the y- direction means add 8 to the y- coordinate

Then the translation rule is

(x, y ) → (x - 4, y + 8 )

Find the length of a ladder which is 3 feet from the base of the wall and reaches 8 feet up the wall.

Answers

Answer:

√55

Step-by-step explanation:

Using the Pythagorean Theorem:

3 squared equals 9, and 8 squared equals 64. 64-9=55.

A proton moves in a circular orbit of radius 65 cm perpendicular to a uniform magneticfield of magnitude 0. 75 t

Answers

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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what’s the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

282/2 = 141

180 - 141 = 39

4x - 5 = 39

4x = 44

x = 11

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.

Answers

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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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

Answers

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

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

Answers

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

Find the Surface area

Answers

Answer:

12057.6

Step-by-step explanation:

formula is 3.14*r^2*h/3

4(x+3)-7>=x+3(x+1)
Solve the inequality

Answers

Step-by-step explanation:

4(x+3) -7 >= x + 3 (x +1 )

4x + 12 - 7 >= x + 3x + 3

4x - x - 3x >= 3 - 12 + 7

0 >= -2

hey I have done this according to logic if your school has a method please follow that also m not sure if my answer is correct hope it helps though.

6. At one point, there were only 2,410
black rhinos left on Earth. With the help
of conservation efforts, the black rhino
population then increased by about 130%.
About how many black rhinos were on
Earth then?

Answers

Answer:

5543 rhinos.

Explanation:

present population: total population(100% + increased percentage)

Based on the information, insert following :

Black Rhinos = 2410(100% +130%) = 2410(230%) = 2410(2.3) = 5543

LOOK AT PICTURE BELOW

Answers

In step 1 the difference of 1.5x(-3.2) & 1.5x(2.5) should be written as a sum. Hope that’s right :).

PLEASE HELP ME

Select the correct answer. Which stem and leaf plot represents the given data set? ​

Answers

Answer:

i think its x

Step-by-step explanation:

it looks simple yet intimidating

What are the coordinates of points B, C, and E?

Answers

Answer:

B (-4, 8)
C  (3, 5)
E ( 7, 0 )

Step-by-step explanation:

Text Book

Which graph represents the solution of y > x2 + 2?

Answers

The graph that represents the solution of y>x²+2 is given below.

The given inequality is y>x²+2.

We need to identify which graph represents the solution of y>x²+2.

What is an inequality graph?

Inequalities that use or ≥ symbols are plotted with a solid line to show that the line is included in the region.

For example, this graph shows inequality. This can be seen as there is a dashed line, and the region where the coordinates are less than -1 is shaded.

Graph the inequality by finding the boundary line, and then shading the appropriate area.

Put x=0, 1, 2, 3,....in the inequality and solve for y.

We get y=2, 3, 6, 11,...

The graph that represents the solution of y>x²+2 is given below.

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Answer:

I did it and got it correct

Step-by-step explanation:


The company is going to choose three rows in each section to win the hats. There are 46 rows in a
section. If you are sitting in a winning section, what is the probability that you are not sitting in a winning
row?

Answers

Answer:

[tex]\frac{43}{46}[/tex]

Step-by-step explanation:

3 out of 46 rows are going to win, meaning that 43 out of 46 rows are not going to win

Make that a fraction:

[tex]\frac{43}{46}[/tex]

what’s the circumference, to this problem ?

Answers

Answer:

9.42 i think

Step-by-step explanation:

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].

We can then input the value and we get that [tex]C=3*\pi[/tex] which then just narrows down to [tex]C=9.425[/tex].

Hope this helps!  Let me know if you have any questions

Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)​

Answers

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 multiplication

Final result:

[tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]

Triangle DEF is simialar to triangle ABC

Answers

Step-by-step explanation:

This is false as you do not what type of triangle that it is

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:

Answers

Answer:

78π

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

HELP PLEASE WHAT IS THE X INTERCEPT

Answers

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 Formula

There 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 Graph

To 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

Answers

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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Measure each angle using a protractor

Answers

Answer:

90*

Step-by-step explanation:

The multiplication of two rational numbers results in a _____________

Answers

Answer:  rational number

===========================================================

Explanation:

The proof of this is as follows

p, q, r and s are integers

q and s cannot be zero

A = some rational number = p/q

B =  some other rational number = r/s

A*B = (p/q)*(r/s) = (p*q)/(r*s)

The result is of some form integer/integer, where the denominator is nonzero. This shows that A*B is rational.

Therefore,

rational*rational = rational

---------------

A few examples:

(1/2)*(3/7) = (1*3)/(2*7) = 3/14(2/5)*(9/8) = (2*9)/(5*8) = 18/40 = 9/20(7/3)*(-1/9) = (7(-1))/(3*9) = -7/27

Side note: any whole number is a rational number. For instance, the number 7 can be thought of as the fraction 7/1 or 14/2 or 21/3 and so on.

what’s the area and the perimeter and of the triangle?

Answers

Perimeter=22.9 m
Step by step explanation
4.4+8.7=13.1+9.8=22.8

Area=19.14
Step by step explanation
4.4x8.7=38.28 divided by 2 = 19.14

whats the answer to a(4a + 3)

Answers

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)

The mean of the following data is 509.

{419,450,462,499,520,521,589,612}

What is the mean absolute deviation for the data set?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.

What is the mean absolute deviation?

It is the average distance between each data point and the mean.

The mean of the following data is 509.

{419, 450, 462, 499, 520, 521, 589, 612}

Then the mean absolute deviation (MAD) for the data set will be

[tex]\rm MAD =\dfrac{1}{n}\sum_{i=1}^{n}\left|x_i - \mu \right|[/tex]

We have

μ = 509

n = 8

Then

[tex]\rm MAD =\dfrac{1}{8} \times (|419 - 509| + |450- 509| + ..... + |612 - 509|) \\\\MAD = 51.5[/tex]

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consider the following function G(x) = 2 (x-3)


Find G(4) + G (5)​

Answers

Answer: 6

Solution: 2(4-3) + 2(5-3) = 8-6+10-6=6
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