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3 years ago

Can 27,34,43 be a right triangle

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

You would have to go to th decimal places for it to be

Here is a close right triangle

26.3249. 34. 43

but there is a decimal so no

plz mark brainliest

klasskru [66]3 years ago

3 0

Answer:

Step-by-step explanation:

The way to answer this is to apply the Pythagorean Theorem.

Is 27^2 + 34^2 = 43^2? If yes, this could be a right triangle. If no, it could not.

729 + 1156 = 1849 ?? No. Thus, these three side lengths do not satisfy the Pythagorean Theorrem, and therefore could not make a right triangle.

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What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

Surface area of the solid = 438 + 144 = 582 ft²

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

Surface area of prism = 348 in²

4 0

3 years ago

Which is the graph of f(x) = -(x + 3)(x + 1)?

Bas_tet [7]

Answer:

See attachment

Step-by-step explanation:

A function is given to us and we need to tell which graph represents the given function. The function given to us is,

$\tt: \implies f(x) = -( x + 3 )( x + 1 )$

Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,

$\tt: \implies -(x +3)( x + 1 ) = 0$

Equate each factor by 0 ,

$\tt: \implies \boxed{\blue{ \tt x = -1,-3 }}$

Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .

On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .

Hence the second option is correct . 

{ See attachment }

4 0

3 years ago

6. Write in exponential form: log(3)81 = 4

earnstyle [38]

Answer:

$81 = {3}^{4}$

Step-by-step explanation:

$log_{3}(81) = 4 \\ \\ 81 = {3}^{4}$

4 0

3 years ago

Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?

xenn [34]

Answer:

pen = $1.20, pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

7 0

3 years ago

The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9

Soloha48 [4]

Answer:

The z score for the airplane arriving 13 minutes after arrival time is 0.33

Step-by-step explanation:

Using normal distribution,

The average lateness for one of the top airline companies is 10 minutes. So our mean, u = 10

The variance, s of the lateness measure is calculated as 9.

x =13 which stands for arrival time.

Using normal distribution,

z = (x - u)/s

z = (13 - 10)/9 = 3/9 = 0.33

The z score for the airplane arriving 13 minutes after arrival time is 0.33. The probability value of the z score can be found by looking at the Normal distribution table

6 0

3 years ago