Find the length of TU.​

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

[tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

[tex]a^2+b^2=c^2[/tex]

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

[tex](5)^2+b^2=(13)^2[/tex]

Solve for b:

[tex]b=\sqrt{169-25}=\sqrt{144}=12[/tex]

So, the opposite side measures 12.

Then sine will be:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Answer:

6. Side Angle Side (SAS)

7.  Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement                                                   Reason

1. ΔVWX is equilateral                            Given

2. ΔTUX is equilateral                            Given

3. VX ≅ WX                                             Definition of equilateral triangle

4. TX ≅ UX                                              Definition of equilateral triangle

5. <TXW ≅ <UXV                                    Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX                                   Side Angle Side (SAS)

7. UV ≅TW                                               Definition of congruence

Answer:

4. 2 nonreal solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²-4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

0.25 (or [tex]\frac{1}{4}[/tex])

Step-by-step explanation:

As the coin is fair, there is an equal chance the coin lands on heads or tails, therefore:

Probability of heads = 0.5 (or [tex]\frac{1}{2}[/tex])

Probability of tails = 0.5 (or [tex]\frac{1}{2}[/tex])

For Bob to win, the coin must land on heads twice, To work this out, we multiply the two events together.

Probability of 2 heads = 0.5 (probability of landing heads up) x 0.5 (probability of landing heads up) = 0.25 (or [tex]\frac{1}{4}[/tex])

Answer:

[tex]8\sqrt{3}[/tex] [tex]\text{in.}[/tex]

Step-by-step explanation:

60 · 60 · 60

60³ = 180

Diameter - 8

3 sides, diameter 8 = answer.

Answer:

D) [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]x = \sqrt{8^{2} - 4^{2} } = \sqrt{48}= \sqrt{4*16}= 4\sqrt{3}[/tex]

Answer:

Just add them up and you will get this answer

Step-by-step explanation:

Just add them up and you will get this answer

The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].

Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.

According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.

We know area of a rectangle is product of it's length and width.

Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].

∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .

= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].

= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].

= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].

learn more about rectangle here :

https://brainly.com/question/14207995

#SPJ2

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

Explanation:

The two points given are

C = (x1,y1) = (2,-1)

D = (x2,y2) = (5,3)

Use the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]

The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.

Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

Answer: 1.67 mph

Step-by-step explanation:

Given

Sam walk one-third of a mile in 12 minutes

There is 60 minutes in an hour i.e. Sam take

[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]

Average speed is given by

[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]

Answer:

7 14/20

Step-by-step explanation:

i hope na makatulong to sa inyo

Answer:

1.76 x 10⁴ gallons

Step-by-step explanation:

8.2 x 10³ + 9.4 x 10³ = 17.6 x 10³

Although correct 17.6 x 10³ is not in scientific notation

which is

1.76 x 10⁴ gallons

Answer:

D.

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

The answer is

A. Set X has 10 possible groupings.

C. Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}

E. There are three ways to form a group if persons A and C must be in it.

Good luck :)

Answer:

It’s A,C,E

Step-by-step explanation:

i did the quiz friends

ur wlcm :)

hope i helped /made life easier

Answer:

D - T-H is negative

Step-by-step explanation:

So lets go through what we know:

M is on the left side of 0, so M is negative.

A is also one the left side of 0, so A is negative.

T is on the right side of 0, so T is postive

H is also on the right side of 0, so H is postive

Lets go through each answer and see if it is accurate or not:

The sum of M and H is postive.

With what we know, M is negative and H is postive.

Looking at the graph, we can see that M is farther to the left than H is to the right.

So this means that M is a larger negative than H is postive, meaning when we add them together, the answer will be negative, not postive.

Next we have the answer to A divided by H is negative

We know A is negative, and M also negative

Remember, a negative divided or multiplied by a negative is postive.

This is not what our answer states, as it says it should be negative.

So next off, we have the product of H and A is postive.

Product means multipication.

A is negative and H is postive

Since it is multipication, and we know a negative and postive make another negative, this would make it incorrect

The answer states it must be postive, but this is negative.

Finally we have the answer as T-H is negative.

We see that T is postive, and H is postive.

T is less than H is, so when you subtract H from T, you would get a negative.

So D is the answer

Hope this helps!

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Answer:

2/3

Step-by-step explanation:

You have 6 letters, and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

Answer:

1/6

Step-by-step explanation:

[tex] \frac{4}{6} \times \frac{1}{4} [/tex]

Answer:

True

Step-by-step explanation:

The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.

Answer:

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.

Answer:

5.12

Step-by-step explanation:

5.021+.099 is the problem

we can ignore the 5 for now. .021+.099= .120

now we bring back the 5

5.120=5.12

Answer:

x=2m−6

Step-by-step explanation:

sure what is it about maybe I can help you if it's possible

Answer:

put points on (1.5, 0) and (0, -1), then draw a continuous line through them

Step-by-step explanation:

y - 3 = -2/3(x + 6)

y - 3 = (-2/3)x - 4

y = (-2/3)x - 1

0 = (-2/3)x - 1

1 = (-2/3)x

x = 3/2 = 1.5

y = (-2/3)(0) - 1

y = -1

Answer:

No, because factorials are product of all positive integers less than or equal to a given positive integer.