The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS

Probability is 1/36.

The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Two dices were rolled.

Total outcomes in sample space: S = 36

Outcomes which have sum as 12 are E = {(6,6)}

Required Probability: P(E)= 1/36

Hence, Probability is 1/36 of which have sum as 12

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Answer:

1/36

Step-by-step explanation:

Answer:

La población 20 horas después será de 321,161 bacterias.

Step-by-step explanation:

t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t.

Esto implica que la población después de t horas viene dada por:

[tex]P(t) = \int P^{\prime}(t) dt[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

Teniendo en cuenta que

[tex]\int e^{at} dt = \frac{1}{a}e^{at}[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

[tex]P(t) = \frac{350}{0.18}e^{0.18t} - \frac{220}{0.3}e^{-0.3t} + K[/tex]

En que k es la población inicial, o sea, [tex]K = 250000[/tex]. Entonces

[tex]P(t) = 1944.44e^{0.18t} -733.33e^{-0.3t} + 250000[/tex]

¿Cuál será la población 20 horas después?

Esto eres P(20). Entonces:

[tex]P(20) = 1944.44e^{0.18*20} -733.33e^{-0.3*20} + 250000 = 321161[/tex]

La población 20 horas después será de 321,161 bacterias.

Step-by-step explanation:

1) y = -x+4

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

y = -2x+6+4

y = -2x+10

3) slope = (3+1)/(9-1) = 4/8=½

the Equation =>

y+1= ½(x-1)

y = ½x -½-1

y = ½x - 1½ or 2y = x -3

Answer:

21

Step-by-step explanation:

(base1+base2)2/ height

Answer:

1. 51

2. 8

3. √2 or 1.41

Step-by-step explanation:

using pythagorean theorem

Answer:

1) x = 51

2) x = 8

3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142

Step-by-step explanation:

These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.

In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.

[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]

So the answer to question 1 is 51. Repeat this process for the rest of the questions.

In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,

[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]

So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.

[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]

So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142

Hope this helped

Step-by-step explanation:

AAA are the correct answer.

It is related to congurency.

Answer:

AAA

Step-by-step explanation:

You have 2 of angles. Add them together and subtract them by 180. That is how to got AAA.

Answer:

A, B, and D

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the prisms and the riddle are not given.

The riddle aspect of the question cannot be attempted, else there are clues.

So, I will give a general rule on how to calculate the surface areas of prisms.

For rectangular prisms, the surface area is:

[tex]Area = 2*(Length * Width + Length * Height + Width * Height)[/tex]

For the attached rectangular prism, the area is:

[tex]Area = 2 *(10*11 + 11 * 15 + 10 * 15)[/tex]

[tex]Area = 2 *(425)[/tex]

[tex]Area = 850m^2[/tex]

For triangular prisms, the surface area is:

[tex]Area = L + 2 * B[/tex]

Where

[tex]L \to[/tex] Lateral Area

[tex]B \to[/tex] Base Area

The area of the attached triangular prism is:

[tex]L = (a + b + c) * h[/tex]

[tex]L = (6 + 8 + 10) * 12[/tex]

[tex]L = 24 * 12[/tex]

[tex]L = 288[/tex]

[tex]B = \frac{1}{2} * bh[/tex]

[tex]B = \frac{1}{2} * 6 * 8[/tex]

[tex]B = 24[/tex]

So, we have:

[tex]Area = L + 2 * B[/tex]

[tex]Area = 288 + 2 * 24[/tex]

[tex]Area = 288 + 48[/tex]

[tex]Area = 336ft^2[/tex]

Answer:

Step-by-step explanation:

When two chords intersect inside the circle, the product of their segments are equal.

BE * ED = AE * EC

x *3x = 4 *3

3x²   = 12 {Divide both sides by 3}

  x² = 12/3

  x² = 4

  x = √4

  x = 2

Answer:

The value of x is 2.

Step-by-step explanation:

We know that , when the two chords are intersect inside the circle, the product of their segment are equal.

So, BE × ED = AE × EC

putting the values

x × 3x = 4 × 3

multiply the values

3 x ² = 12

divide 12 by 3

x ² = 12 / 3

x ² = 4

Taking the square root of 4

x = √4

x = 2

The value of x is 2.

Answer:

-6 and 11

Step-by-step explanation:

The only factors of 66 are 11, 6, 2 and 3

11*6 is the only pair whose product is 66

The difference betwen 11 and 6 is 5

11 must be positive and 6 negative since the sum is positve

Answer:

$8.39 por pe rsona

Step-by-step explanation:

Answer:0.007

Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.

0 is insignificant

Answer:

9y + 13

Step-by-step explanation:

a number would best represent as a variable (doesn't matter which letter)

plus thirteen would represent an addition to 13

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

Answer:

See below for answers

Step-by-step explanation:

Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]

Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]

Answer:

(x+1)² = 14

a = 1, b = 14

Step-by-step explanation:

Given the equation, x² + 2x = 13

We are to use the completing the square method to express in the form

(x + a)² = b

x² + 2x = 13

Add the square of half of the coefficient of x to both sides

Coefficient of x = 2

Half of the coefficient of x = 2/2

Square of the result = (2/2)²

Square of the result = 1²

Add (1/2)² to both sides

x² + 2x + (1)² = 13 + (1)²

(x+1)² = 13 + 1

(x+1)² = 14

Compare with  (x+a)² = b

a = 1 and b = 14

Answer:

120 ft

Step-by-step explanation:

Find c and multiply it by 4. You're working with one triangle only at first.

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp

Cos(60) = 15 / hyp

hyp = 15/cos(60)

hyp = 30

Answer:

The answer is A.

Step-by-step explanation:

yes

Answer:

total 10th grades who are 15 years old would be 7 in the empty box

Step-by-step explanation:

2 plus 7 plus 10 is 19, simple math

Given:

The terminal point of [tex]\phi[/tex] is (1,0).

To find:

The value of [tex]\tan\phi[/tex].

Solution:

If the terminal point of [tex]\theta [/tex] is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that the terminal point of [tex]\phi[/tex] is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

[tex]\tan \phi=\dfrac{0}{1}[/tex]

[tex]\tan \phi=0[/tex]

Therefore, the value of [tex]\tan \phi[/tex] is 0.

Answer:

A: less that

Step-by-step explanation:

4( 14)+3

36+3= 39

39 (2+9)6-7

(11)6-7

66-7

59

39<59

Answer:

(x + 7)² + (y - 1)² = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 7, 1) and r = 1 , then

(x - (- 7) )² + (y - 1)² = 1² , that is

(x + 7)² + (y - 1)² = 1

Answer:

56

Step-by-step explanation:

To find the "consequent," write out and solve an equation of ratios:

  3         x

------- = ------

  8         21

Through cross-multiplication, this yields  8x = 63, so that x must be x = 63/8.

Alternatively, solve this modified version of the original equation for x:

  3         21

------- = ------

  8          x

Then 3x = 8(21), or x = 8(7), or x = 56.

Note that 21 and 56 are in the ratio 3:8

Answer:

261.5 ft^2

Step-by-step explanation:

Surface Area of a rectangular prism = Length x Width x Height

= 8.5ft x 6ft x 5.5ft

= 261.5 ft

Answer:

31

Step-by-step explanation:

y=2x^2 - 2x + 7

Let x= -3

y=2(-3)^2 - 2(-3) + 7

 =2 (9) +6 +7

 = 18 +6+7

 = 31

[tex]\tt{y = 2 {x}^{2} } - 2x + 7 \: ,when \: x \: = \: - 3[/tex]

[tex]\quad \quad \quad \quad \tt{y = 2 {x}^{2} } - 2x + 7[/tex]

[tex]\quad \quad \quad \quad \tt{y = 2 {( - 3)}^{2} } - 2( - 3)+ 7[/tex]

[tex]\quad \quad \quad \quad \tt{y = 2(9) +6 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 18 +6 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 24 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 31}[/tex]

[tex]\quad \quad \quad \quad \boxed{\tt{\color{green}y = 31}}[/tex]

_______

#LetsStudy

Answer:

I think it is 4

I am not sure about it

Answer:

26 cards

Step-by-step explanation:

Sam:

⅓=2+6

=8

Bill:

3/3=3×8

=24

3/3=½

24+2=26

Now ,Min have 26 cards.

hope it help

Question:

ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.

Answer:

101.5cm²

Step-by-step explanation:

The figure for the trapezium ABCD is attached to this response.

To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;

A  = [tex]\frac{1}{2}[/tex] x (a + b) x h            ------------------(i)

Where;

A = area of the trapezium

a and b are the parallel sides of the trapezium

h = height of the trapezium.

As shown in the figure,

AB and CD are parallel

Therefore, we can say that;

a = AB

b = CD

Also, from the figure,

The height of the trapezium is BP

Therefore, we can say that;

h = BP

We know that;

a = AB = 4cm

b = CD = 25cm

h = BP = 7cm

Substitute these values of a, b and h into equation (i) as follows;

A  = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7    

A  = [tex]\frac{1}{2}[/tex] x (29) x 7    

A = 101.5

Therefore, the area of the trapezium is 101.5cm²