Find the slope and y intercept

To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem :  [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)

Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)

So, correct answer is D

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

[tex]\sqrt{22.25}[/tex]

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

[tex]\sqrt{22.25}[/tex]

[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps

Answer:

35.64 km / hour

Step-by-step explanation:

100m = 10.1s

100/10.1 m per second

3600 seconds in a hour

100/10.1 X 3600 = 35643.56436

= 35.64356436 km per hour

Answer:

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

They did the multiplication incorrectly

Step-by-step explanation:

Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by:

[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{9} [/tex]

Hence, the correct choice is D

Answer:

  D)  8/9

Step-by-step explanation:

There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...

__

The sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)

__

As with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]

  [tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]

The result can be reduced by cancelling common factors in this process.

  [tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]

__

For this method, both the dividend and the divisor need to be expressed over the same denominator.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]

We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.

  [tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]

Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

Answer:

  25.5

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(49°) = x/(22.2 m)

Multiplying by the denominator, we get ...

  x = (22.2 m)tan(49°) ≈ 25.5 m

The unknown side is about 25.5 meters.

Answer:

Step-by-step explanation:

Volume of cylinder:

[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]

Bottom cylinder:

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

120 sq.un

Here given the following,

Answer:

It should be D.

Step-by-step explanation:

Answer:42.83 i think

Step-by-step explanation:

Answer:

42.83

Hope this helps and have a great day!!!

ENJOY!

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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