In the diagram, line g is parallel to line h.

Which statements are true? Select all that apply.

Answer:

first find the length of the hypotenuse,

a²+b²=c²

7²+8²=113

√113=10.63

perimeter=sum of all sides

10.63+7+8

=25.63

Answer:

???

Step-by-step explanation:

Answer:

10 A.M

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]{4}^{9 - 5} [/tex]

[tex] {4}^{4} [/tex]

Answer:

5.4x10^9

Step-by-step explanation:

Answer:

[tex]\text{A. 8}i[/tex]

Step-by-step explanation:

The math constant [tex]i[/tex] represents [tex]\sqrt{-1}[/tex]. Because [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex], we can rewrite the equation given the problem as [tex]\sqrt{-64}=\sqrt{64}\cdot \sqrt{-1}=\boxed{8i}[/tex].

Answer:

A= 201.06

Step-by-step explanation:

A = pi r^2

A = pi x 8 x r^2 = 201.06

Answer:

30 cm

Step-by-step explanation:

[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]

Answer:

GK = 20

Step-by-step explanation:

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

Answer:

the mean is 3

Pls mark Brainliest :)

Step-by-step explanation:

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

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

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

Add up each factor pair to see which sum is equal to 2.

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2

Answer:

0.245 ; 0.76 ; 0.669  

Step-by-step explanation:

  Occupations                 S&E      Non S &E       Total {Gender wise}

  Women                           76             424               500

 Men                                 169            331               500

Total {occupation wise}      245            755             1000 [Grand Total]

1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245

2) Prob (woman & works in S & E) , ie P (W ⋂ S) =  Total women in S & E / Total people  =  76 /  100 = 0.76

3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669

The probability that a randomly selected person works in an S&E occupation is 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.

The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745

Probability determines the odds that an event would happen.

The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)

500 / 1000 x (245 / 1000) = 0.12

The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)

= 500 / 1000 + (245 / 1000) = 0.745

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer:

16

Step-by-step explanation:

if x=23, 23-7=16

The area of the triangle is 36 in², so she can create only 4 triangles.

Answer:

12.48 to the nearest hundredth.

Step-by-step explanation:

11 + 23 - 33 x 11 / 29

= 111 + 23 - 363 / 29

= 11 + 23 - 12.517

= 34 - 12.517

= 21.483.

Answer:

y^17

Step-by-step explanation:

y^12 x y^8 ÷ y^3 = y^20 ÷ y^3 which equals y^17

Answer:

⊥H∀∩K  y∅∪

Step-by-step explanation:

The Answer is 63

Step-by-step explanation:

Answer:

17 weeks

Step-by-step explanation:

Amt. of money left to save

£495 - £108 = £387

Amt. of money he saves each week

40/100 x £60 = £24

Ans: 387/24 = 16.125

= 17 weeks

16 x £24 = £384(not enough, must save one more week)

Answer: 25%

Step-by-step explanation:

Step-by-step explanation:

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -4 to 0, it increases = [-4, 0]

For x = 2 to 5, it increases = [2, 5]

Answer: [-4, 0], [2, 5]

Answer:

6.64*10^(-9) moles of oxygen.

Step-by-step explanation:

If we have N molecules, the number of moles is given by:

n = N/Nₐ

where Nₐ is the Avogadro's number:

Nₐ = 6.02214076*10^23

In 2.000*10^15 molecules of sulfur dioxide, we have:

n = (2.000*10^15)/(6.02214076*10^23) = 3.32*10^(-9) moles of sulfur dioxide.

Now, sulfur dioxide has two oxygens and a single sulfur.

Then a mole of sulfur dioxide has two moles of oxygen and a single mol of sulfur.

Then in 3.32*10^(-9) moles of sulfur dioxide, we have twice that amount moles of oxygen, or:

2*3.32*10^(-9) = 6.64*10^(-9) moles of oxygen.

Answer: Hope This Helps!

Step-by-step explanation:

1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).

2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.

3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).

4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.