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3 years ago

I need help on number 1

Mathematics

2 answers:

ollegr [7]3 years ago

7 0

2.5. is the answer. ..

Mashutka [201]3 years ago

6 0

What you do is divide those two numbers. what is 80 divided by 32? the answer is 2.5

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The width of a rectangle is 3x+5 and the length of the rectangle is 6x+10. Determine the ratio of the width to the perimeter.

Mashcka [7]

Answer:

1 : 6

Step-by-step explanation:

Calculate the perimeter

perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30

perimeter = 18x + 30 ← take out a common factor of 6 from both terms

= 6(3x + 5)

ratio of width : perimeter

= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)

= 1 : 6

4 0

3 years ago

Which quadratic equation has roots –2 and 1/5?

AysviL [449]

Answer:

The equation $5x^2\:+\:9x\:-\:2\:=\:0$ has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

$5x^2\:+\:9x\:-\:2\:=\:0$

putting x = -2 in the equation

$5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:$

$2^2\cdot \:\:5-9\cdot \:\:2-2=0$

$2^2\cdot \:5-18-2=0$

$20-20=0$

$0=0$

L.H.S=R.H.S

putting x = 1/5 in the equation

$5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:$

$5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0$

$\frac{1}{5}+\frac{9}{5}-2=0$

$2-2=0$

$0=0$

L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation $5x^2\:+\:9x\:-\:2\:=\:0$ has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

4 0

3 years ago

What does parallel mean? Can you give an example of things that are parallel?

klasskru [66]

Answer:

Defetion
meaning
number
meters

5 0

3 years ago

Read 2 more answers

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

Salsk061 [2.6K]

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for $P(t)=21100$ we must solve the equation $0.9t^2+6t+14000=21100$ . Substracting 21100 from both sides, this equation is equivalent to $0.9t^2+6t-7100=0$ .

Using the quadratic formula, the solutions are $t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21$ and $t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54$ . The solution $t_1=-92.21$ can be neglected as the time t is a nonnegative number, therefore $t=t_2=85.54$ .

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0

3 years ago

Explain how trigonometry can be used to determine the height of a cell phone tower.

saul85 [17]

Trigonometry can be used to determine the height of a cell phone tower by using SOH CAH TOA or the Pythagorean theorem. If you look at it as a right triangle you can figure out how tall the tower is. If an angle is given (not a 90°angle) and the value of a side you can figure out all of the sides on the theoretical right triangle. Including the height of the tower.

6 0

2 years ago