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wolverine [178]
3 years ago
8

Michael wants to plant a circular flower garden in his backyard. If the radius of his garden is 12.5 feet, what is the circumfer

ence of the
garden in terms of pi?
Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer: 78.54

Step-by-step explanation: :D

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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
4 years ago
An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe
OleMash [197]

Answer:

<h3>3 secs</h3>

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0
3 years ago
Define two terms, each containing the variables x and y, with exponents on each. (For example: 10x3y−5.) Find the quotient of th
Serjik [45]

Answer:Two such terms are 7x^3*y^9 and -3x*y^5

Their quotient is

7x^3*y^9

--------------

-3x*y^5

This can be simplified as follows:

The numerical coefficients become -7/3.

x^3/x = x^3*x^1 = x^(3 - 1) = x^2 (we subtract the exponent of x in the denominator from the exponent of x in the numerator).

Next, y^9*y^5 = y^4.

The quotient in final reduced form is then (-7/3)x^2*y^4

7 0
3 years ago
Which polynomial is a quintic binomial?
lidiya [134]
Polynomial A : x^4 + 2 x³ - x² + 7 x + 11 has a Quartic degree.
Polynomial B : x² + 4 x is a Quadratic binomial.
Polynomial D : 5 x² - 2 x + 4 has a Quadratic degree.
Answer: 
Polynomial D :  3 x^5 + 2  is a Quintic binomial
6 0
3 years ago
Read 2 more answers
MATH HELP ASAP!! MARKING BRAINLIST
Hunter-Best [27]

Answer:

f(2)=0

Step-by-step explanation:

f(2)=2x-4

2(2)-4

4-4

0

6 0
3 years ago
Read 2 more answers
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