Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24

Answers

Answer 1

9514 1404 393

Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

Mathema8. Leg XY Of The Right Triangle Shown In Thediagram Below Is Twice As Long Asleg YZ.ZYIf The Area

Related Questions

one half plus one third










Answers

Answer:

0.83333333333

Step-by-step explanation:

One-half plus one-third equals 5/6 or 0.8333.

Given that:

Expression: 1/2 + 1/3

To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.

The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:

1/2 × 3/3 = 3/6

1/3 × 2/2 = 2/6

Now that the fractions have a common denominator of 6, add them:

3/6 + 2/6 = 5/6

3/6 + 2/6 = 0.8333

Therefore, one-half plus one-third equals 5/6 or 0.8333.

Learn more about Divisor here:

https://brainly.com/question/30925934

#SPJ6

Paulette had two books One of the books weighed 7/8 pound and the other book weighed 2/3 pound If both books were put on sale how much will they weigh together

Answers

About a 1.1-2 pounds

Madison and Aidan roll two number cubes. Which of the following rules will make the game fair?
Madison wins if a total of 5 is rolled. Aidan wins if a total of 10 is rolled.
Madison wins if a total of 8 is rolled. Aidan wins if a total of 6 is rolled.
Madison wins if a total of 9 is rolled. Aidan wins if a total of 7 is rolled.
Madison wins if a total of 2 is rolled. Aidan wins if a total of 11 is rolled.

Answers

Answer:

If I understand this right I think it would be 8 and 6?

Step-by-step explanation:

Sorry if this is wrong I'm really bad at math, please tell me if this is right.

25 Points!!! Need to be Done Now Please. Priority
Use Newton's method to app a root of the equation 3x^7+2x^4+3=0


Let x1=1 be the initial approximation


Second approx. x2 is?

Third approx x3 is?

Answers

9514 1404 393

Answer:

x2 = .72413793x3 = .087249546

Step-by-step explanation:

Modern graphing calculators have a derivative function available, so using a calculator to find the next value of x is pretty simple.

The Newton's Method iterator for finding the next approximation to the root (x') is ...

  x' = x -f(x)/f'(x) . . . . . where f'(x) is the derivative of f(x).

The attachment shows the first 3 iterations (4 approximations). We observe that the starting point is pretty far from the root, and on the wrong side of some wiggles in the function, so convergence is pretty slow.

The desired approximations are shown above and in the table below.

__

Additional comment

To 12 significant figures, the only real root is −1.10305899649. When the calculator can interactively produce a next guess, you can type the next guess value into the iterator function even as it is showing you the next value. This lets you find the best-precision result as fast as you can type it.

For a calculator like a TI-84, the iterator function can make repeated use of "Ans" as an argument. It usually doesn't take more than 3 or 4 iterations to get a best-precision result, since the number of good decimal places is about doubled on each iteration. (Of course, you have to start with a better approximation than the one given in this problem.)

What is the answer to this

Answers

Answer:

x = 25

Step-by-step explanation:

3x-15 = 2x+10

x-15 = 10

x = 25

Answer:

x = 25 degree

Step-by-step explanation:

3x - 15 = 2x + 10 (their relation will be alternate interior angles if they [tex]l_{1}[/tex] and [tex]l_{2}[/tex] are parallel)

3x - 2x = 10 + 15

x = 25 degree

What is the mean of 43,69,48,37,85,57,95,102

Answers

The mean of 43,69,48,37,85,57,95,102 is 67

If you leave Louisville Ky at 8:15 am and arrive in Chicago at 2:25 pm how long did you travel ?

Answers

Answer: 6 hours and 10 minutes

Step-by-step explanation:

a rope of length 18 m is used to form a sector of a circle of radius 3.5 m on a school field. What is the size of the angle of the sector?​

Answers

Answer:

Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.

Step-by-step explanation:

The perimeter of the sector is equivalent to the length of the rope which is 18 meters

Perimeter of the sector= 2 x radius + length of the arc

But length of arc= radius x central angle in radian

18= 2(3.5)+ 3.5(central angle in radians)

18=7+3.5 (central angle in radians)

18–7=3.5(central angle)

11=3.5(central angle)

central angle =11/3.5=3.14 radians or pi radians

Angle in degrees =pi radians x 360 degrees/2pi radians =pi radians x 180 degrees/pi radians = 180 degrees

Therefore the central angle = 180 degrees because pi radians is half of 2pi radians which is half of 360 degrees

Notes: This sector shape is a semicircle because the central angle is 180 degrees

Check: Length of Arc for semicircle =3.5(pi radians)=11 meters

Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.

Find the complement of the set given that
U = {x | x is in I and −3 ≤ x ≤ 7}.
(Enter your answers as a comma-separated list.)
{−1, 1, 3, 5, 7}

Answers

I think the answer is { -1, 1, 3, 5, 7}

0,-2,-4,-6,-8,-10 nth term

Answers

Answer:

The nth term of this sequence is [tex]a_{n} = -2n + 2[/tex]

Step-by-step explanation:

In this sequence we keep adding -2 on to get the next term. This sequence is called an arithmetic sequence, a sequence that uses addition to keep increasing.

The formula for the nth term of an arithmetic sequence is

[tex]a_{n} = d[/tex] · [tex]n + a_{1} - d[/tex]

[tex]a_{1}[/tex] stands for the first term in the sequence, and [tex]d[/tex] stands for the difference between each number in the sequence.

[tex]a_{1} = 0[/tex] and [tex]d[/tex] = -2, so :

[tex]a_{n} = -2[/tex] · [tex]n + 0 - (-2)\\[/tex]

[tex]a_{n} = -2n + 2[/tex]

Therefore, to find the nth term in this sequence you would use the formula

[tex]a_{n} = -2n + 2[/tex]

What is the production matrix?

Answers

Answer:

[tex]\left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]

Step-by-step explanation:

Here we want to compute the product of two matrices, one 2x2, and other 2x1.

[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right][/tex]

Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:

[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]

Pls help luv y’a thx

Answers

1. 6^2 + 8^2 () 10^2
36 + 64 = 100, Right Triangle

2. 5^2 + 7^2 () 9^2
25 + 49 () 81
74 < 81, Not A Right Triangle

3. 8^2 + 15^2 () 17^2
64 + 225 = 289, Right Triangle

4. 9^2 + 12^2 () 15^2
81 + 144 = 225, Right Triangle

5. 7^2 + 24^2 () 25^2
49 + 576 = 625, Right Triangle

Hope this helps, luv y’a too, you’re welcome.

A bicycle has a listed price of 593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

the answer is in  

Step-by-step explanation:

A bag has 2 yellow marbles and 16 red marbles. Half of the red marbles are made of plastic. A marble is selected at random from the ball What is the probability that it is a red, plastic marble? Write your answer as a fraction in simplest form. ​

Answers

Answer:

4/9

Step-by-step explanation:

2+16 = 18 total marbles

16 ÷ 2= 8 plastic marbles

Since there are 18 total marbles and 8 plastic red marbles we can say that there is a probability of 8/18.

8/18 in simplest form is 4/9.

Hope this helps! Brainliest?

A cylinder of radius 12cm and height 9cm.​

Answers

Area,Lateral surface Area, Surface Area, Circumference?
What do you want me to find?
I’ll pay you to do my 7 math assignments(no scams no bs) Hmu asap

Help, please
no links

Answers

9514 1404 393

Answer:

  4/10 and 10/25

Step-by-step explanation:

If each of the ratios reduces to the same lowest terms, then they are a proportion. All are in lowest terms except the first pair. Reducing those gives ...

  4/10 = 10/25 = 2/5

4/10 and 10/25 form a proportion

__

All of the other pairs are pairs of different ratios, so do not form a proportion.

which statement is true?

Answers

Answer:

The y-intercept of Function A is less than the y-intercept of Function B.

Step-by-step explanation:

Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.

Find the surface area of
the prism.

Answers

Answer:

[tex]\text{D. }464\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:

Rectangle 1 (top base): [tex]12\cdot 14=168[/tex]

Rectangle 2 (bottom base): [tex]6\cdot 14 = 84[/tex]

Trapezoids 1 and 2 (lateral): [tex]2\cdot 9 \cdot 4=72[/tex]

Rectangles 3 and 4 (lateral): [tex]2\cdot 14\cdot 5=140[/tex]

Thus the total surface area is equal to

[tex]168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}[/tex]

In the accompanying diagram, ABC is isosceles, BC is extended to D. AB = AC. and M

Answers

Answer:

m∠ACD = 130

Step-by-step explanation:

If ABC is an isosceles, AB = AC and m∠A = 80°, then m∠B and m∠C is equal to 50°.

This is because angles in a triangle adds up to 180°.

180° - 80° = 100°/2 = 50°

∴ m∠ACD = 130°, this is because the interior opposite angles in a triangle is supplementary to the opposite exterior angle:

50° + 80° = 130°

Or

Angles on a straight line adds up to 180°.

180° - 50° = 130°

Find the equation of a sphere if one of its diameters has endpoints: (-14. -3, -6) and (-4, 7, 4) Note that you must move everything to the left hand side of the equation and that we desire the coefficients of the quadratic terms to be 1.

Answers

Answer:

[tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]

Step-by-step explanation:

From the question we are told that:

Diameters has endpoints: [tex](-14. -3, -6) & (-4, 7, 4)[/tex]

Generally the equation for Center of The sphere is mathematically given by

 [tex]C=(\frac{-14+(-4)}{2},\frac{-3+(7)}{2},\frac{-6+(4)}{2})[/tex]

 [tex]C=(9,2,-1)[/tex]

Generally the equation for Radius of the sphere is mathematically given by

 [tex]R=\sqrt{(9-2)^2+(2-9)^2+(-1-2)^2}[/tex]

 [tex]R=\sqrt{107}[/tex]

Therefore the Equation of the Sphere is

 [tex](x-9)^2+(y-2)^2+(z+1)^2=107[/tex]

 [tex](x^2-18x+81)+(y^2-4y+4+(z^2+2z+1))=107[/tex]

 [tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]

Find the perimeter of the figure.

Answers

Answer:

below

Step-by-step explanation:

p = 2( a + b)

p = 2(24 +16)

p =80 in

p semicircle

=πr

= 3.142 *8

= 25.136

p of figure

p =80 +25.136

p=105.136 in

Find the radius of the sphere with the given volume.

Answers

Answer:

see below

Step-by-step explanation:   6  5  17  43

Volume of a sphere = 121.5 π mm³   Find r

Vol Sphere = (4π r³) / 3     solve for r

Vol Sphere × 3 = (4π r³)

(Vol Sphere × 3) / 4π = r³

∛((Vol Sphere × 3) / 4π)  = r

∛((121.5 π mm³× 3) / 4π)  = r         the pi terms cancel

∛((121.5  mm³× 3) / 4)  = r

∛((364.5  mm³) / 4)  = r

∛((91.125  mm³) )  = r

       4.5   =  r

4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!

Answers

[tex]3 {x}^{2} + 11x - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]

2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]

Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

name an outcome that has a probability between 0.5 and 1​

Answers

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

The probability that he or she is a female given that the person is married

Answers

Answer:

3 /4

Step-by-step explanation:

The probability that selected person is a female Given she is married :

This is a conditional probability in the form ; A given B

P(A|B) = P(AnB) / P(B)

Let, Female = F ; Married = M

P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4

Please help!
Geometry
10 points!

Answers

Answer: c= 6√2, d= 7√3

Explanation: Use the 45-45-90 theorem and solve for C, Use the 30-60-90 theorem and solve for D.

45 45 90
s s s√2
6 6 6√2
c=6√2

30-60-90
a a√3 2a
7√3 7 14
d=7√3

Find the area of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HELP ITS URGENT ITS DUE BY 8

Answers

Answer:

It is 4

Step-by-step explanation:

1 times 1 for square

3 times 3 then divide by 2 = 3

add together

4

Answer:

a = 5.5 in²

Step-by-step explanation:

square

a = lw

a = 1 * 1

a = 1

Triangle

a = (1/2)bh

a = (1/2) * 3 * 3

a = 4.5

combined figure

a = 1 + 4.5

a = 5.5 in²

The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.


The variable x represents the number of

Answers

Answer:

Square tables used

Step-by-step explanation:

x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit

Answer:

answer in pictures

Step-by-step explanation:

What is the value of
[tex] \frac{ - 2(7 - 15)}{4} [/tex]
○-4
○-2
○2
○4​

Answers

Answer:

4

Step-by-step explanation:

Based on your math expression:

7-15 = -8

-2*(-8) = 16

16 / 4 = 4

Answer:

4

Step-by-step explanation:

-2(7-15)

=-14+30

=16÷4

=4

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