Use Pythagorean Theorem to determine if the three
given sides create a right triangle.
15 m, 8 m, 17 m
Show your work

Answer:

sin X=30 degree

cos X=30 degree

tan X=30 degree

cot X=30 degree

sec X=30 degree

Step-by-step explanation:

Answer:

The second one

O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)

Step-by-step explanation:

Favorable outcome is the outcome that we are looking for

The outcome that we are looking for when rolling two = die is a sum of 7

The set (1-6) (2-5) (3-4) (4-3) (5-2) (6-1) all add up to equal 7

( 1 , 6 ) 1 + 6 = 7

( 2 , 5 ) 2 + 5 = 7

( 3 , 4 ) 3 + 4 = 7

etc.

Which means that they are the favorable outcomes for rolling a seven

Answer:

yes it does. good job on your A.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

D. (-2, -11)

Step-by-step explanation:

Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".

And out of all the options, D is the only one that works.

Answer:

9

Step-by-step explanation:

you can always use guess-and-check:

124 seems rather high

(6)P(2) = 6!/4! = 6x5 ≠ 72

(9)P(2) = 9!/7! = 9x8 = 72

Answer:

i think the value of n is 12

Answer:

First one 28

Second one 53

Step-by-step explanation:

Using pythagoras theorem

Sqrt(24^2+7^2)=28

sqrt(45^2+28^2)=53

Answer:

Third Grade!

Step-by-step explanation:

Hope you have a good day <3

Answer:

it's third grade:)

Step-by-step explanation:

just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!

Answer:

y = - 15.57x² + 179.32x + 0.20

510

Step-by-step explanation:

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

Where, height = y

x = time

Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20

y = - 15.57(6.4^2) + 179.32(6.4) + 0.20

y = 510.1008

y = 510

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

height = y

x = time

                          Using the model obtained;

The height, to the nearest foot, at a time, x = 6.4 seconds.

Thus, the correct answer is 510.

Know more :

https://brainly.com/question/23117287?referrer=searchResults

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

[tex]3\cdot x + 14[/tex]

Long leg

[tex]3\cdot x + 13[/tex]

Short leg

[tex]x[/tex]

By the Pythagoric Theorem, we have the following expression:

[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)

[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]

[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]

[tex]x^{2} -6\cdot x -27 = 0[/tex]

[tex](x-9)\cdot (x+3) = 0[/tex]

As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Answer:

650,000 cm²

Step-by-step explanation:

10x6.5=65 METERS squared.  They want it in CENTIMETERS squared.

65m² = 650,000cm²

Answer:

32.5[tex]m^{2}[/tex]

Step-by-step explanation:

The coloured triangle with the blank triangle area =

(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]

The blank triangle area =

[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]

Therefore:

The coloured triangle area =

(45.5 - 13)[tex]m^{2}[/tex]

=32.5[tex]m^{2}[/tex]

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the FCI for soccer. The given values tell us ...

  s + (s +7.47) = 108.09

  2s = 100.62 . . . . . . . . . . subtract 7.47

  s = 50.31

  s+7.47 = 57.78

The FCI for soccer was $50.31; the FCI for hockey was $57.78.

Answer:

Option D

Step-by-step explanation:

[tex]60+45+75=180[/tex]

[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]

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

hope it helps...

have a great day!!

Answer:

D will be your answer!!

Step-by-step explanation:

hope it helps

Answer:

B  160 ft^2

Step-by-step explanation:

Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2

Answer:

x > [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(9-x)}{3+1}<11[/tex]

Add 3 and 1 to get 4.

[tex]\frac{5(9-x)}{4}<11[/tex]

Use the distributive property to multiply 5 by 9−x.

[tex]\frac{45-5x}{4}<11[/tex]

Subtract  45/5 from both sides.

[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

[tex]x>\frac{-(-4)}{4 x 5}[/tex]

[tex]x>\frac{1}{5}[/tex]

Answer:

The shortest segment from the point to the line is perpendicular to the line.

Step-by-step explanation:

See the attached image.  The blue segments go from the point to the line, but they are longer than the shortest such segment (red).

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

Answer:

x=√154 over 7 , −√154 over 7

Step-by-step explanation:

Answer:

the answer is that x=positive or negative square root of 22 over square root of 7

Step-by-step explanation:

Answer:

Small-6

Large-2

Step-by-step explanation:

small-$8

large-$16

$8×6=$48

$80-$48=$32

32÷16=2(large)

Answer:

y=x+3

Step-by-step explanation:

when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b

y is the y value

m is the slope (change in y divided by change in x or, rise over run)

x is the x value

b is the y intercept (the y value where the line will touch the y axis/vertical line)

to make the equation

y=mx+b

y and x are variables so you dont need to write them

the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)

between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1

=1

when the slope is 1 you get

y=1x+b which is just y=x+b

then the y intercept

the first dot is touching the y axis line and it's y value is 3

y=x+3

hope this helps

9514 1404 393

Answer:

  (c)  (0, 6)

Step-by-step explanation:

Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.

__

Comments on the other answer choices

Curly braces are usually used as delimiters of a set, not an ordered pair.

Three items do not constitute a "pair." Rather, they are a "triple."

Items without any particular indicator of grouping are usually not considered a "pair."

Answer:

Step-by-step explanation:

The missing diagram showing the trapezoids is attached in the diagram below.

There are three stages by which trapezoid A must be transformed into trapezoid B.

We can see three fundamental differences as follows:

As a result, we will perform the following transformations: 

B. 4

count the boxes from the point to the y axis, which would be 4

ignore my previous answer, i was confused, sorry.

Answer:

5 x Square root:2

Step-by-step explanation:

Answer:

z = 100*x₁  + 150*x₂  +  210*x₃

Step-by-step explanation:

Lyric a looks like there is a typing error in the first term ( 100.11 ) .

the right is 100*x₁

Answer:

[tex] 35m [/tex]

Step-by-step explanation:

Given :-

And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,

Perimeter of rectangle :-

[tex]\implies Perimeter = 2( l + b)[/tex]

[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]

Hence the length of the rectangle is 35 m .