help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units

To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:

c² = a² + b² - 2ab * cos(C)

Plugging in the known values, we get:

c² = 5² + 2² - 2 * 5 * 2 * cos(6)

Now, we can solve for 'c':

c² = 29 - 20 * cos(6)

c² ≈ 28.8178

c ≈ √28.8178

c ≈ 5.4 (rounded to the nearest tenth)

Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:

sin(A) / a = sin(C) / c

Plugging in the known values:

sin(A) / 5 = sin(6) / 5.4

Now, solve for 'sin(A)':

sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698

Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:

A ≈ sin⁻¹(0.0698)

A ≈ 3.992° (rounded to the nearest tenth)

Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:

B = 180 - A - C

B = 180 - 3.992 - 6

B ≈ 170.008° (rounded to the nearest tenth)

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Answer:

2.) 6

3.) 13

4.) 8

5.) DNE (because limit from the right does not equal limit from the left)

Step-by-step explanation:

Answer:

5. h = 12

6. k = 17, m = 12

Step-by-step explanation:

5. The sum of angles on the adjacent side of a diagonal of a parallelogram is 180 degree

[tex]3h + 24 = 4 h + 12\\h = 12[/tex]

6. The  angle is 90 degrees

[tex]5k + 5 = 90\\k = 17\\7m + 6 = 90\\m = 12[/tex]

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

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Answer:

17.1429% ?

Step-by-step explanation:

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]g = c - x \\ c - x = g \\ - x = g - c \\ x = - g - c[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

yes

Step-by-step explanation:

3+3=6

6+6=12

so yes, that statement is correct

Answer: yes this statement is completely correct.

Step-by-step explanation:

Answer:

We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.

Step-by-step explanation:

hope this helps

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

4

Step-by-step explanation:

Answer:

1.125

Step-by-step explanation:

Answer:

$160

Step-by-step explanation:

100+4n ; n=15

100+ 4(15)= 160

$160 for 15 people

Answer: (300,0), (300,160)

Step-by-step explanation:

Given

Dimension of the football field is  [tex]300\ ft\times 160\ ft[/tex]

The length between (0,0) and (0,160) coordinates is 160 ft

Similarly, (0,0) and (300,0) represents the 300 ft of length

and (0,160) and (300,160) represents the 300 ft of length

Thus, the other two coordinates are (300,0) and (300,160)

Answer:

right triangle

Step-by-step explanation:

hope that helps!

Answer:

The answer is "5 km".

Step-by-step explanation:

The right triangle will best represent this distance model. Its legs AB and BC and the hypotenuse AC. Through plugs through into Pythagorean theorem the known values,

[tex]\to a^2 + b^2 = c^2\\\\\to 3^2 + 4^2 = c^2\\\\ \to 9 + 16 = c^2\\\\ \to 25= c^2 \\\\\to c=5[/tex]

Answer:

9

Step-by-step explanation:

subtract 2 on both sides

you get v=9

Answer:

It would be option 2.

Step-by-step explanation:

This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.

Answer:

B) -7°c

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

6 x [tex]\frac{3}{4}[/tex]= 4[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

HOPE THIS HELPS

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

Answer:

g(x) is shifted left by two units

Step-by-step explanation:

Pretty much got to find the highest common factor (HCF) then divide it.

3/12=1/4. (3×4=12)

12/28=3/7 (HCF=7)

27/45= 3/5 (HCF=9)

10/15=2/3 (HCF=5)

36/48=6/8=3/4 (HCF=6 then 2)

6/16=3/8 (HCF=2)

Answer:

statement two is CG=AD statement 4 is ADE = CGF

Step-by-step explanation:

I got it right on khan

statement 2 is option 2, statement 4 is option 1

Cg=AD,    CGF

Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is ΔADC≅ΔECD.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

For the given proof, the third blank space can be filled with ΔADC≅ΔECD. This is because the two triangles have the same sides as shown below,

AD ≅ ED

AC ≅ EC

CD ≅ DC (Given)

Hence, the correct option is ΔADC≅ΔECD.

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