please help me due today and giving 23 points

Answer:

KN = 11

Step-by-step explanation:

In right triangle LNM, by Pythagoras theorem:

[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]

In right triangle LNK, by Pythagoras theorem:

[tex]KN = \sqrt{LK^2-LN^2}[/tex]

[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]

[tex]\implies KN = \sqrt{3721-3600}[/tex]

[tex]\implies KN = \sqrt{121}[/tex]

[tex]\implies\huge{\orange{ KN =11}}[/tex]

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Before, Finding the length of KN, we must have to find the length of LN. So

[tex] \: [/tex]

Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).

[tex] \: [/tex]

We'll find the measure of third side with the help of the Pythagorean theorem.

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the above formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]

Therefore,

[tex] \\ [/tex]

As, we found the length of LN, now we can find the length of KN.

Where,

So, in the right angled triangle LKN, by Pythagorean theorem we get,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]

Therefore,

Answer:

k = 6

Step-by-step explanation:

since (k, 7 ) lies on the line then it satisfies the equation.

substitute the coordinates of the point into the equation and solve for k

2k - 7 = 5 ( add 7 to both sides )

2k = 12 ( divide both sides by 2 )

k = 6

Answer:

k = 6

Step-by-step explanation:

The point (k, 7) lies on the line with the equation 2x - y = 5

Answer:

  24

Step-by-step explanation:

The GCD of a set of numbers is the product of the prime factors, each to the lowest of the powers it has as a factor of any of the numbers.

The LCM of a set of numbers is the product of the prime factors, each to the highest of the powers it has as a factor of any of the numbers.

__

The factorizations of the given numbers are ...

  36 = 2^2 × 3^2

  54 = 2 × 3^3

__

  6 = 2 × 3 . . . . . . . . . . . GCD

  216 = 2^3 × 3^3 . . . . . LCM

This tells us the lowest powers of 2 and 3 are 2^1 and 3^1, and the highest powers of 2 and 3 are 2^3 and 3^3. Already, the lowest power of 2 matches the GCD, and the highest power of 3 matches the LCM. What we need is a number with a power of 2 that is 3, and a power of 3 that is 1:

  2^3 × 3^1 = 24

The other number is 24.

Answer:

The answer is 140 degrees.

Step-by-step explanation:

It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.

Hope this helps.

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]

[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]

[tex]x = \sqrt{21} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ

Answer:

√21

Step-by-step explanation:

30, 60, 90 triangle

Across from 30 is a, across from 60 is a√3

So, √7√3 is √21

Answer:

106⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles is equal to 180⁰

[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

Where c is the length of hypotenuse

and a, b are lengths of the legs.

Put in 6 for c,

Put in 3 for a and you get 9+b^2=36

Subtract 9 from both sides and get b^2= 27

Then find the square root of both sides to get b, so the answer is the square root of 27.

The cloest square root is 5, then apporixmate the tenths value and see if they work.

Answer: 5.2

Answer:

square root of 27, 5.2

Step-by-step explanation:

(I know I'm late but-)

3^2+b^2=6^2

9+b^2=36

b^2=27

Check the picture below.

notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.

Answer:

D on edg 2022

Step-by-step explanation:

can't really see the graph but it's probably 18

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

Answer:

Step-by-step explanation:

The distributive property is for example 3(2*4) the outside number multiplies everything inside the parenthesis. For the communitive, its like opposites, but they give the same answer, for example 4*5, 5*4. And for associative is like the distributive property, but not at the same time, for example,  (a*b)*c = a*(b*c) it has the numbers, but pluged in in another type of way


Hope this helps!

Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying

Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.

However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.

Learn more about impulsive buying here:https://brainly.com/question/24260

Answer:

Step-by-step explanation:

hello :

the circumference is :P=2pi×r=2×3.14×3= .... continu

Answer:

Area=  7.065ft^2

Circumference= 9.42ft

Step-by-step explanation:

The area of a circle is,

area=Pi*r^2

and the circumference,

circumference=2*Pi*r

with r being the diameter/2

so we get,

area=(3.14)(1.5)^2=7.065ft^2

circumference=2(3.14)(1.5)=9.42ft

Answer:

please see photo for detailed analysis

Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

Using the normal distribution and the central limit theorem, it is found that the probability is given by:

e. 0.611

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 50, \sigma = 10, n = 9, s = \frac{10}{\sqrt{9}} = 3.3333[/tex]

The probability that this sample mean will be between 48 and 54 is the p-value of Z when X = 54 subtracted by the p-value of Z when X = 48, hence:

X = 54:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{54 - 50}{3.3333}[/tex]

Z = 1.2

Z = 1.2 has a p-value of 0.885.

X = 48:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48 - 50}{3.3333}[/tex]

Z = -0.6

Z = -0.6 has a p-value of 0.274.

0.885 - 0.274 = 0.611, hence option e is correct.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

Answer: A, C and E.

Step-by-step explanation: They all equal to 5.

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

Read more about probability at:

https://brainly.com/question/251701

Part A: Jon has 442 miles left to drive.

ex: 625 - 183 = 442

Answer:

Interactive

Step-by-step explanation:

Answer:

First you add up all the numbers and then the unknowns.

Step-by-step explanation:

2q^2+12-2q-5q

2q^2+12-3q

2q^2-3q+12