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2 years ago

6

A zoo has a total of 8 lions and tigers. The number of tigers is one less than twice the number of lions. Write a system of equa

tions that represents the number of lions and tigers A. L + T = 2 T=L-8 B. L-T=8 T=2L-1 C. L+T =8 T=2L-1 D. L+T =8 T= 2L +1

1 answer:

valina [46]2 years ago

4 0

Answer:

C. 2L-1

Step-by-step explanation:

:)

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Which shows a difference of squares?

d1i1m1o1n [39]

Answer:

The equations shows a difference of squares are:

<u>10y²- 4x²</u> $ <u>6y²- x²</u>

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√6y + x )( √6y - x)

3) 8x²−40x+25

The expression is not similar to the general form, so the equation does not represent a difference of squares.

4) 64x²-48x+9

The expression is not similar to the general form, so the equation does not represent a difference of squares.

6 0

3 years ago

When a number is decreased by 3%, the result is 80. What is the original number to the nearest tenth?

zzz [600]

Answer:

98

Step-by-step explanation:

5 0

3 years ago

One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom

liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = $10\log(\frac{I_2}{I_1})$

and the relation between intensity and distance is given as:

I ∝ $\frac{1}{d^2}$

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

$\frac{I_2}{I_1}=\frac{d_1}{d_2}$

therefore,

I = $10\log(\frac{d_1}{d_2})^2$

or

I = $10\times2\times\log(\frac{161}{4,800})$

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0

2 years ago

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevat

Free_Kalibri [48]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

5 0

2 years ago

Please answer for me

solong [7]

It should equal 12.56

6 0

2 years ago