These three side lengths make a triangle.
3 cm, 5 cm, 9 cm

A. True
B. False

Answer:

3x^2+6x-2

Step-by-step explanation:

(5x2 + 4x + 3) - (2x2 - 2x + 5)

5x^2+4x+3-2x^2+2x-5

3x^2+6x-2

Can you post a picture please

Answer:

No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is

√2:1

If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Answer:

c = 85 in is the answer.

Step-by-step explanation:

a = 36 in

b = 77 in

c = ?

According to the Pythagoras theorem,

a² + b² = c²

36² + 77² = c²

1296 + 5929 = c²

7225 = c²

c = 85 in

∴ c = 85 in is the length of the missing leg.

Answer:

It will take 15.029 years for element X to reach mass of 260 grams

Step-by-step explanation:

The half life period of radioactive element X is 26 years

The initial mass of radioactive element X is 260 grams

Elapsed time = half life * log (beginning amount /ending amount)/log 2

Substituting the given values, we get

Elapsed time = 26 * log (390/260)/log 2

=  15.209 years

Answer:

x = 286.01 inches

Step-by-step explanation:

Given that,

Height of the ramp, H = 20 inches

Angle of elevation, [tex]\theta=4^{\circ}[/tex]

We need to find the value of x. It can be solved using trigonometry as follow :

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular and B is base

So,

[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]

So, the value of x is equal to 286.01 inches.

Answer:

No solutions

Step-by-step explanation:

-8x+2y = -16

   4x-y  = 10 [multiply by 2 so it is easier to add/subtract]

-8x+2y = -16

8x -2y = 20

        0 = 4

0 and 4 cant be equal so theres no solution

Answer:

Answer:

15,840 feet

Step-by-step explanation:

5,280*3 = 15840

Since she runs 3 miles each morning, and 1 mile is 5,280,

then you multiply 5,280*3

Answer:

2/7

Step-by-step explanation:

when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7

Answer:

0.28571428571

Step-by-step explanation:

This is the calculated answer.

But after a lot of. technical,work the answer,ends up be 2/7

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft

9514 1404 393

Answer:

  2 3/4 years

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt . . . . . . principal P at annual rate r for t years

Solving for t gives ...

  t = I/(Pr)

  t = 4167.90/(16840×0.09) = 2.75

The duration of the loan is 2 3/4 years.

answer:

Cami is 35 and Enrique is 11

35 plus 11 = 46

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

A linear equation is given and we need to solve out and find the value of x. So ,

⇒ x+5/ 3+11 = -1

⇒ x + 5 = 14 (-1)

⇒ x + 5 = -14

⇒ x = -5-14

⇒ x = -17

Answer:

D) h=2t+5

Step-by-step explanation:

Answer:

X=28

Step-by-step explanation:

If x=28 then the degrees of the corners are 26, 84, and 70

Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.

Answer:

x = 28

Step-by-step explanation:

Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:

180 - 26 = 154

So our two angles add up to 156, so we set up our problem like this:

3x + 2x + 14 = 154

So now we combine like terms:

3x + 2x = 5x

So now our equation is:

5x + 14 = 154

So now we just have to do the inverse operations thing:

154 - 14 = 140

140 ÷ 5 = 28

So, x = 28

if this is wrong, let me know so I can fix it

hope this helps:)

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1

Answer:

Inequality Form:

x<4

1<4

3<4

-1004<4

Interval Notation:

(−∞,4)

(-1004,4)

(3,4)

(1,4)

Step-by-step explanation:

Answer:

well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.

so y = 94

Answer:

(40/4) x 5 = 50 pages

Step-by-step explanation:

Answer:

50 pages

Step-by-step explanation:

You would have to cross multiply, 40/4 = x/5.

Then, you would get 200 = 4x.

Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)

Hope this helped you out!!

a. I will payoff about $243 and 67 cents each month.

b. I will pay a total interest of 39.24%.

How do credit card payoffs work?

They work on the principle of compound interest.

After one year, I have to pay $(4200*18)/100 =$756 extra

which means my principle amount for second year will be 4200+756=4956$

After second year, I have to pay $(4956*18)/100=$892.08 extra

Total payoff at the end of second year=$4200+$756+$892.08=$5848.08

Therefore, each month I need to pay (5848.08/24)=$243.67

To calculate the interest:

Interest= (Total amount payoff - initial balance)*100/initial balance

            =(5848.08-4200)*100/4200

            =39.24%

To solve more such questions refer:

https://brainly.com/question/3576083

#SPJ2

Answer:

C) 2parts that are one eight each.

Step-by-step explanation:

The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.

A) - 8 parts that are one fourth each.

  This cannot be correct because it would surpase the 2/8ths (would be over).

B) - 4 parts that are one-half each.

  This cannot be correct because it would surpass the 2/8ths (would be over).

C) - 2parts that are one eight each.

  This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.

D) - 2parts that are one fourth each.

  This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).

This makes the correct answer C).

  I hope this helps you understand and helps you in your question.

Answer:

D) 5,572

Step-by-step explanation:

4/3×pi×r^3

4/3×3.14×11^3

5572.453...

5572

Answer:

x²+y²=√(2/7 x-y)

is the answer, i think

Answer:

$28.35

Step-by-step explanation:

[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]