In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

2, -1

Step-by-step explanation:

Answer:answer is D

Step-by-step explanation:

Answer:

3024

Step-by-step explanation:

3024

Option (D) 3024 is the permutation value is the correct answer.

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]

Here, n = 9 and r = 4

⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]

⇒ [tex]\frac{9!}{5!}[/tex]

⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]

⇒ [tex](6)(7)(8)(9)[/tex]

⇒ [tex]3024[/tex]

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

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Answer:  I believe its c

Step-by-step explanation:

f(x) is (0,+inf)

Answer:

Dependent Events

Step-by-step explanation:

Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.

If the first ball is chosen the probability will 1/3  leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3.  In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.

In this the events are called dependent events.

Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.

Answer:

Step-by-step explanation:

[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]

[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]

= -1 (Ans)

[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]

Since,

[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]

Hence,

[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]

[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]

[tex] = - \frac{2}{3} (ans)[/tex]

[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]

[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]

= 10 - 2 × 3

= 10 - 6

= 4 (Ans)

[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]

[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]

[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]

= 70 - 64

= 6 (Ans)

Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.

Step-by-step explanation:

Answer:

d, the number of degrees that the temperature was lowered by

Step-by-step explanation:

The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.

Answer: -39

Step-by-step explanation:

Hope this helps.

Answer:

Q1 --> 17

Q2 --> 20

Q3 --> 22.5

Interquartile

Range IQR 5.5

Step-by-step explanation:

Step 1

We rearrange the given data set

10, 16, 18, 20, 20, 21, 24, 25

Q2 (median):

Q1:

Q3:

Interquartile Range (IQR): Q3-Q1 -

lets do this step by step.

First: we need to break this into to prisms.

Next lets say the dimensions:

4 x 2 x 1 and 2 x 2 x 1

now we multiply them and then add them

8 + 4 = 12

volume = 12 cubic units.

Answer:

x:(−3+26−−√,0)≈(2.09901951359278,0),(−26−−√−3,0)≈(−8.09901951359278,0).

y:(0,-17)

Step-by-step explanation:

find the focus, axis of symmetry, eccentricity, latus rectum, length of the latus rectum, vertex, directrix, focal parameter, x-intercepts, and y-intercepts of the parabola y=x2+6x−17.

Answer:

(x-3)

Step-by-step explanation:

2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)

The required missing factor is (x - 3).

Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).

To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).

The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.

To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to

2[tex]x^2[/tex] + 5x - 3.

To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.

Factorize the quadratic equation:

2[tex]x^2[/tex] + 5x - 3

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3

Expanding the left side using FOIL:

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3

Combining like terms on the right side:

(2x - 1)(cx + d) = 2x( x  -  3) -1 (x - 3)

Combining like terms on the right side:

(2x - 1)(cx + d) = (2x - 1)(x - 3)

By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.

Therefore, the missing factor is (x - 3).

Hence, the complete factorization of the quadratic equation

2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).

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Answer: Choice C) Emi evaluated (46-78)^2 as -(32)^2

Explanation:

The "46-78" is inside the parenthesis, so the result must also stay in the parenthesis. This means (46-78)^2 would become (-32)^2. The negative must be inside the parenthesis as well. Squaring the "-32" leads to a positive result, so every item being added is positive after the squaring operations are applied.

Answer:

klfajndxjfasisfcbweauorfochwszhfshsfqsahfwhnlsljfjlashegfchdhefgwsdgrvefdcgbvdqjejjsjjjdkdkk112132w434

Step-by-step explanation:

5uwsuhsrhudhusfhushzoihflishhghwslhkfwdilhtfhwhshfhhwajzhfshadzkhfcshfuhu3eyryyaurjfsdajsfjfjdgagdgsgafdfzdUDSIUIYAYIODQALHPOEPOWIAYISDHAZAHDCGUQEIUSD8RFHGSHXARAGIUROIHTNDAUFCISBQ3AYHQWEID

Answer:

3 meter

Step-by-step explanation: it ez

Answer:

48 degrees

Step-by-step explanation:

180-85-47=x

x＝48

Answer:

the quotient of a number y and negative three point six is less than six point five.

Answer:

i think kevin made $7.50 more than clark

Step-by-step explanation:

25% of 50 is 12.5. 50-12.5= 37.5

40% of 50 is 20. 50-20=30

Answer:

Step-by-step explanation:

the center is at  (0, -2)

radius =  [tex]\sqrt{64}[/tex] = 8

Answer:

have a nice day loves <3

Step-by-step explanation:

picture below

Answer:

Step-by-step explanation:

Answer: A. 117,600 people.

Answer:

Its 119,318

Step-by-step example:

subtract 100 from 12 you get 88 then do 88% of 119,318, you get 104,999.84. Round 104,999.84 up and you get 105,000.

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.            

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.                                                                      

Answer:

A. 10 ft

Step-by-step explanation:

Since dimensions of the wall are similar to the dimensions of the window.

Therefore, lengths and widths of wall and window would be in proportion.

So,

[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]

Surface Area: 94 ft

Volume: 60 ft

Answer:

1/5 or 0.2

Step-by-step explanation:

Answer:

The common difference is  or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ =  

Third term     = a₃ =  

Fourth term = a₄ =  

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴  

The common difference is  or 0.2

Answer:

3x - y = -7

Step-by-step explanation:

put into slope-intercept form the equation becomes y = 3x + 7

parallel lines have the same slope, in this case the slope is 3