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3 years ago

How can we use a distributive property by a CALCULATOR

Mathematics

2 answers:

nika2105 [10]3 years ago

7 0

You can't use distributive property by a calculator

Cloud [144]3 years ago

7 0

No u can't use it by a calculator

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Choose the best description for the real number 34 over 3.

dybincka [34]

Hello!

First of all let's eliminate the answers that do not make sense. For A. numbers are NOT irrational because they are a fraction. Numbers are also not irrational because they are a repeating number. C and D are both correct as fractions and terminating decimals are both rational numbers.

34/3≈11.33333333

By using a certain formula you can convert repeating decimals to a fraction. But most people know that .3333333 is 1/3. This gives us 11 1/3 as our answer. So what does it match? It is not a terminating decimal. It repeats but can be written as a fraction. Therefore our answer is C) Rational, because it is a fraction.

I hope this helps!

4 0

3 years ago

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A developer has 7 1/2 acres of land to build houses on. If each house is to be built on a 1/4 acre plot, how many can he build?

schepotkina [342]

The developer can build 30 houses.

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3 years ago

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Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l

bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0

3 years ago

Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ < r₂ &lt

ira [324]

Answer:

a) A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

Step-by-step explanation:

We have Circle 1 and area A₁

Area of circle 2 outside circle 1 = A₂

Area of circle 3 outside circle 2 = A₃

On the other hand we have

A₁ = π*r₁² area of circle 1

A₂´ = π*r₂² area of circle 2

A₃´ = π*r₃² area of circle 3

All areas in cm²

a) A₁ /A₂

A₁ = π*r₁²

According to problem statement A₂ = π*r₂² - A₁

A₂ = π*r₂² - π*r₁² ⇒ A₂ = π* (r₂² - r₁²)

Then A₁ /A₂ = π*r₁² / [π* (r₂² - r₁²)]

A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃

A₂ = π* (r₂² - r₁²)

And

A₃ = π* (r₃² - r₂²)

Therefore

A₂ /A₃ = π* (r₂² - r₁²) / π* (r₃² - r₂²) ⇒ A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

6 0

3 years ago

Wanda placed $100 in a savings account that pays 2% simple interest per year. After 6 months Wanda made another deposit of $100.

STatiana [176]

Answer:

$\$203.01$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

<em>After 6 months</em>

$t=6/12=0.5\ years\\ P=\$100\\r=2\%=2/100=0.02$

substitute in the formula above

$A_1=100(1+0.02*0.5)$

$A_1=100(1.01)$

$A_1=\$101$

$t=6/12=0.5\ years\\ P=A_1+\$100=\$101+\$100=\$201\\r=2\%=2/100=0.02$

substitute in the formula above

$A_2=201(1+0.02*0.5)$

$A_2=201(1.01)$

$A_2=\$203.01$

8 0

4 years ago