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3 years ago

The tile along the edge of a triangular community pool needs to be replaced.

Mathematics

2 answers:

Gre4nikov [31]3 years ago

6 0

Answer:

Third option: 12x^2+8x+25

Step-by-step explanation:

s1=8x^2

s2=4x^2+15

s3=8x+10

Total perimeter of the pool edge: P

P=s1+s2+s3

Replacing s1, s2 and s3 in the formula above:

P=(8x^2)+(4x^2+15)+(8x+10)

P=8x^2+4x^2+15+8x+10

Adding like terms:

P=12x^2+8x+25

suter [353]3 years ago

6 0

Answer:

$12x^2+8x+25$

Step-by-step explanation:

We are given that

Perpendicular length side of triangle = $4x^2+15$

Base of triangle= $8x+10$

Hypotenuse of right triangle = $8x^2$

We have to find the expression which represents the total perimeter of the pool edge.

We know that

Perimeter of triangle=Sum of three sides of triangle

Substitute the values then we get

Perimeter of right triangular pool edge= $4x^2+15+8x+10+8x^2$

Combine like terms

Perimeter of right triangular pool edge= $12x^2+8x+25$

Hence, the perimeter of the pool edge is given by

$12x^2+8x+25$

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(2.2.5) In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, an

DaniilM [7]

Answer:

56 ways.

Step-by-step explanation:

This question is solved by using combinations and permutations chapters in the math book.

To put it simply, we need to find the number of 3 horse combinations we can make from 8 horses. This requires the combinations formula:

$C(n,r)=\frac{n!}{r!(n-r)!}$

here n is the total number of objects to choose from, and r is the number of objects we require in the combination or group.

Since there are 8 horses, n= 8

Since we need to choose only 3 of them, and order does not matter, r= 3

Solving the equation above using these inputs gives us 56 unique ways we can choose the three winners.

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3 years ago

Which term shows a product of a number and a variable? 5 + 6x - 7 + 4 <br> A. 5 B. 6x C. -7 D. 4

r-ruslan [8.4K]

A variable is just a letter or symbol that symbolizes a number

Therefore, B. 6x is a number multiplied by a letter (product).

7 0

3 years ago

Read 2 more answers

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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4 years ago

On a road trip,drove at a speed of 60 miles per hour for the first two hours. She then increased her speed by 25%. How fast was

love history [14]

This can either be done by multiplying with 125% (1.25) or, by dividing by dividing on 4 and adding a part.

This is the easiest way, tho.

60*1.25=75

The correct answer is 75 mph.

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3 years ago

Read 2 more answers

Find the unit price for 12 steel wool pads for 4.58

oksano4ka [1.4K]

Answer:

0.38

Step-by-step explanation:

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3 years ago