A 180-inch pipe is cut into two pieces.one piece is three times the length of the other.find the length of the shorter piece.

Answer:

10

Step-by-step explanation:

Subtracting a negative is like adding

3 +7

10

Answer:

total = 99m² + 39.4m²

= 148.4m²

Answer:  5.6g - 2h + 9

Explanation:

Flip the sign of each term inside the parenthesis.

These sign flips occur because of the negative out front the parenthesis. It's the same as having -1 outside, and we distribute the -1 through.

Answer:

180-87 = 93

Step-by-step explanation:

supplementary angles add up to 180°

so (the other angle + 87)=180°

other angle =180-87=93°

Answer:

93 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees. Therefore, the equation for finding the supplementary angle to 87 would be:

[tex]87 + x = 180\\x=180-87\\x=93[/tex]

Have a nice day. Feel free to ask questions. Spread the love.

Step-by-step explanation:(2, -3)

[tex]thank \: you[/tex]

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{5+8}{2},\dfrac{3.5+10}{2}\right)[/tex]

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{13}{2},\dfrac{13.5}{2}\right)[/tex]

Answer:

sin b = 0.8

Step-by-step explanation:

Since a and b are complementary angles , then

sin b = cos a = 0.8

The sine of angle b is 0.8

"It is a triangle in which one of the angle measures 90° "

"It is the longest side of the right triangle."

"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle  [tex]\theta[/tex] to the hypotenuse."

"In a right triangle, cosine of angle [tex]\theta[/tex] is the ratio of the adjacent side of angle  [tex]\theta[/tex] to the hypotenuse."

"Two angles are complementary if the sum of their measures is equal to 90 degrees."

For given question,

We have been given a right triangle.

here,

∠a + ∠b = 90°

∠b = 90° - ∠a                             ................(i)

This means, a and b are complementary angles.

The cosine of a is 0.8

cos(a) = 0.8

We need to find the sine of angle b.

sin(b)

= sin(90 - a)                        .............(from (i))

= cos(a)                               .............(Since [tex]sin(90-\theta)=cos(\theta)[/tex])

= 0.8                                    ............(Given)

So, sin(b) = 0.8

Therefore, the sine of angle b is 0.8

Learn more about the sine angle here:

brainly.com/question/13256520

#SPJ2

I circled the answer and put an example hope it helps

Answer:  The guage block height is 4.98 m

The base of the right triangle that is formed is 7.3784 m

The last angle in the triangle is 56 degrees

Step-by-step explanation:

Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base.  Now we can use trig (SOHCAHTOA) to find the answaers.

Using sine, we can first find the gauge block height, O (Opposite).  Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.

Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)

O = (8.9)*(0.5592)

O = 4.98 m, the height of the gauge block,

The base of the triangle, A, can be determined with cosine.

Cosine(34) = A/O, or A = Cosine(34)*O

A = (0.82904)*(8.9)

A = 7.3784 m

The sum of all angles in a triangle is 180 degrees.  

180 = X + 34 + 90

X = 56 degrees

Answer:

1/4

Step-by-step explanation:

HT represent the probability of tossing a head then Tail.

There is 4 possible results and only 1 give us HT.

We call this theoretical probability. which is

[tex] \frac{x}{y} [/tex]

where x is favorable outcomes and y is total number of outcomes.

So there is a 1/4 probability of getting a head followed by a tail.

Answer:

D) 9.8

Step-by-step explanation:

The geometric mean of two numbers x and y is

[tex]\sqrt{xy}[/tex]

so [tex]\sqrt{8*12}[/tex] = [tex]\sqrt{96}[/tex] [tex]\approx 9.7979[/tex]

Which, since the 9 in the hundredths place is greater than 5, we can round up to 9.8

Explanation:

The given limit notation means we're approaching x = 3 from the left side. So start at say x = 0 and approach x = 3. We don't actually get to x = 3 itself, but instead just get closer and closer. Note how y gets closer to y = 1.5

Answer:

The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %

Answer:

Ok so

Step-by-step explanation:

Yes yes yes yes its C

9514 1404 393

Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

  (x +a)² = x² +2ax +a²

The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

  2a = 1

  a = 1/2

That means we can write ...

  (x +1/2)² = x² +x +1/4

But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

  [tex]x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}[/tex]

_____

Another way to consider this is ...

  x² +bx +c

  = x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*

  = (x +b/2)² +(c -(b/2)²)

for b=1, c=1, this becomes ...

  x² +x +1 = (x +1/2)² +(1 -(1/2)²)

  = (x +1/2)² +3/4

_____

* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that

mean - 6.7

median - 6

mode - 6

range - 9

Answer:

i hope it helped U

stay safe stay happy

Answer:

B, D, H, I, J

Step-by-step explanation:

Median: A line segment that joins the vertex of a triangle to the midpoint of the opposite side.

a.yes

Step-by-step explanation:

a.angle BCD =b because angle BCD is alternate angle of angle ABC

b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line

Answer:

[tex]13\leq x<4[/tex]

Explanation:

If a side has a bracket [] then it is less than or equal to, meaning that it can reach that exact number.

However, if a side has a parentheses () then it is simply less than. It cannot be that exact number, but it can be even slightly less than that number.

Answer:

288m^3

Step-by-step explanation:

the volume is base* height

to find the second side, use the Pythagorean theorem : [tex]\sqrt{10^2-8^2} = \sqrt{100-64}= \sqrt{36} = 6[/tex],

now find the area of the triangle: 6*8/2=24

now multiply it by the height and you get the volume: 24*12=288

7/11 , 0.636, and 0.63

Hope this helps

Answer:

Least to Greatest

7/11 ,  0.636,  0.63

Step-by-step explanation:

7/11 = 0.6363636363636364

so this number is least

Explanation:

The like terms k and -5k combine to -4k

The like terms -5 and 1 combine to -4

So overall, that's how we end up with -4k-4

Answer:

Step-by-step explanation:

1). (k - 5k) + (-5 + 1) {Collect like terms}

2). -4k - 4 {Simplify}

Answer:

The cover has diameter of:

a.

Area of the pool cover:

b.

The length of the rope:

Answer:

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!

Answer:

see explanation

Step-by-step explanation:

For the triangle to be isosceles it must have 2 equal sides.

Calculate the length of the sides using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (3, 5)

AB = [tex]\sqrt{(3-(-1))^2+(5-2)^2}[/tex]

     = [tex]\sqrt{(3+1)^2+3^2}[/tex]

     = [tex]\sqrt{4^2+9}[/tex]

     = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5

Repeat with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = C (3, - 1)

AC = [tex]\sqrt{(3+1)^2+(-1-2)^2}[/tex]

      = [tex]\sqrt{4^2+(-3)^2}[/tex]

      = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5

Consider B (3, 5) and C (3, - 1)

Since both x- coordinates are 3, this is a vertical line and its length is the difference of the y- coordinates, that is

BC = | - 1 - 5 | = | - 6 | = 6

Then

AB = AC = 5 , BC = 6

Since AB = AC = 5 then the triangle is isosceles

Answer:

-0.450 as a fraction is -9/20

Step-by-step explanation:

Since there 3 decimal places, divide it by 1000

-450/1000 and simplify it

Answer:

25958400

Step-by-step explanation:

[tex] {8}^{2} \times 6(4 + {8}^{2} \times (10 - 6) {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{6} \times 4 {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{6} \times {2}^{2} {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{8} {)}^{2} [/tex]

[tex] = 64 \times 6(16 + 2048 + 65536)[/tex]

[tex] = 64 \times 6 \times 67600[/tex]

[tex] = 25958400[/tex]