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2 years ago

12

Mario and Luigi are brothers.marios age is three times the difference between Luigis age and the number 9.if Mario is 18 years o

ld,how old is Luigi.show your work.

1 answer:

Black_prince [1.1K]2 years ago

8 0

To solve this, write an equation to model the situation and solve the equation.

The equation can be: $3(x-9)=27$

Then solve the equation.

$3x-27=18$

$3x=45$

$x=15$

Luigi is 15 years old.

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Which exponential function models how much a $52,500 car depreciates at 9%

hram777 [196]

Answer:

y = 52500(.91)^x

Step-by-step explanation:

Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.

3 0

2 years ago

Can someone help me with number 3 please??!!

ipn [44]

There are 2 way to solve this.

one using Pythagoras theorem and 2nd using trigonometry

so lets solve it by both

using Pythagoras theorem we know

base^2 + perpendicular^2 = hypotanes^2

6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144- 36 = 108

x = √(108) = √( 2×2×3×3×3)

= (2×3) √ (3) = 6 √3

so answer is option 2

bow lets use trigonometry

we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3

7 0

2 years ago

1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel

Masteriza [31]

$\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}$

Let,

Mass of the steel be 108x
Mass of the copper be 7x
Then, Total mass = 108x + 7x = 115x

Given,

Total mass of the coin = 230 mg

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

Mass of the steel = 108(2) = 216 mg
Mass of the copper = 7(2) = 14 mg

☁️ ANSWER - 14 mg (Mass of copper)

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3 years ago

Type the correct answer in the box. Round your answer to the nearest integer.

umka21 [38]

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

$\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}$

$\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}$

sin(∠ADB) = $\frac{30\text{sin}(120)}{35}$

= 0.74231

m∠ADB = $\text{sin}^{-1}(0.74231)$

= 47.92°

≈ 48°

m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

m∠ADC = 180° - 48°

m∠ADC = 132°

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2 years ago

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Luda [366]

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2 years ago

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