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Answer: 20 sq units

Step-by-step explanation:

A quick sketch graph will show the right angle is at (-3 ,4)

The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)

Area = 1/2 x (sqrt(40))^2 = 20

If you didn’t have a right angle you could find the lengths of all sides a, b and c

Calculate the semi perimeter s = (a+b+c) / 2

And the area = sqrt(s(s-a)(s-b)(s-c))

Try and use this method to check the first one!

Answer:

Step-by-step explanation:

We know that:

So the value of the expression is:

Answer:

75°

Step-by-step explanation:

Recall the common trigonometric angles:

  [tex]\sin 30^{\circ}=\dfrac{1}{2}[/tex]

  [tex]\tan 45^{\circ}=1[/tex]

Arcsin is the inverse of sin.

Arctan is the inverse of tan.

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}[/tex]

[tex]\implies \arctan (1) = 45^{\circ}[/tex]

Therefore:

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}[/tex]

Answer:

[tex]\frac{15\pi }{4}[/tex]

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].

We will substitute 675 for angle in degree into the formula to get the value in radian.

[tex]\frac{675*pi}{180}[/tex]

This will be [tex]\frac{15pi}{4}[/tex].

Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].

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Answer:

[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]

Answer:

RS=26.49 m;

ST =14.08 m;

m<R =28°

Step-by-step explanation:

Answer:

Where is the equation??

Answer:

7/30

Step-by-step explanation:

We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10

Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9.  Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

Answer:

The percentage decrease is 25%.

Step-by-step explanation:

The difference in price is $2:

$8 - $6 = $2

Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:

2/8 * 100.

This equals 200/800 which is 25%.

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

Answer: k^3=1

Step-by-step explanation:

Answer:k^3=1

Step-by-step explanation:

Answer:

Choice B 2 and -2

Step-by-step explanation:

2 would be opposite of -2

Mark brainliest

Answer:

"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."

The correct solution is: x = -10, y = -38

Step-by-step explanation:

2x - y = 18

y = 4x + 2

Substitute the given value for y into the first equation:

2x - (4x + 2) = 18

2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y

-2x -2 = 18

add 2 to both sides

-2x = 20

divide by -2

x = -10

-------------------

solve for y

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

------------------

Check the math:

2x -  y = 18

2(-10) - (-38) = - 20 + 38 = 18

Answer:

Step-by-step explanation:

Observe that [tex]y^6-64=y^6-2^6.[/tex]

And you factor out using this expression:

[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]

Take a=y and b=2.

Answer:

(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Step-by-step explanation:

[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

[tex]y^{6}[/tex] - 64

= (y² )³ - 4³

= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m' = -1/(1/3) = -3

A perpendicular line is ...

  y = -3x

Complete question :

The time taken to make and pack an order represented by the equation ; 2x + 10. How man minutes will it take to make and pack an order for 36 parts:

Answer:

82 minutes

Step-by-step explanation:

Time taken to make and pack an order : 2x + 10

To pack 36 orders ; put x = 36 in the equation :

= 2(36) + 10

= 72 + 10

= 82

82 minutes is required to make and pack an order for 36 parts.

Answer:

2x + 10

= 2(36) + 10

= 72 + 10

= 82

It will take 82 minutes to make and pack an order for 36 parts.

Step-by-step explanation:

Got it right :)

Please mark brainliest

Answer:

5x+4

Step-by-step explanation:

5x + 6 - 2

5x + 4

Answer:

B ( 6,-6) ..

I think I'm correct

The answer is No!! I hope this helps, have a wonderful day!

Answer:

A) yes, both functions are inverses of each other.

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[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]

Answer:

2695.49 m

Step-by-step explanation:

A = 2πrh + 2πr2

2 · π · 13 · 20 + 2 · π · 132

2695.4865

Answer:

420 m2

Step-by-step explanation:

Hope this helps

The surface area of the prism will be equal to 366 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.

Given that:-

The surface area of the prism will be calculated as:-

Surface area = Sum of the area of all sides

There are three rectangle faces and two triangular faces in the triangular prism.

Surface area = 3 ( area of rectangle) + 2 (area of triangle)

Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]

Surface area = 270 + 96 = 366 square meter.

Therefore the surface area of the prism will be equal to 366 square meters.

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Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

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

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

C. 360 Square meters

........

The total area is 360 square meter.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given:

We get Three Rectangle

First Rectangle:

length = 12 m

width = 16 m

So, Area = 12 x 16 = 192 square meter.

Second Rectangle:

length = 8 m

width = 12 m

So, Area = 8 x 12 = 96 square meter.

Third Rectangle:

length = 12 m

width = 6 m

So, Area = 12 x 6 = 72 square meter.

Thus, the total area = 192 + 96+ 72 = 360 square meter.

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Answer:

125 students

Step-by-step explanation:

according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best

set up a proportion to find how many students will like pop if there are 400 students at her school:

25/80=x/400

80x=10000

x=125

125 students