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Zigmanuir [339]
2 years ago
5

A building casts a shadow 48 feet long. At the same time, a 40-foot-tall flagpole casts a shadow 9.6 feet long what is the heigh

t of the building?
Mathematics
1 answer:
GrogVix [38]2 years ago
6 0

48 : x = 9.6 : 40

9.6x = 1920

x = 1920 / 9.6

x = <u>200 ft.</u>

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David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

7 0
3 years ago
Read 3 more answers
Evaluate a2 - 6 for a = 4 and b = 17
Natalija [7]

Answer:

The answer is -94 but where is b

Step-by-step explanation:

2(4)-6(17)=-94

7 0
2 years ago
HELP PLEASE ILL GIVE YOU BRAINLIST !! I DONT UNDERSTAND IT .
inn [45]

Step-by-step explanation:

35 + 35 = 70

180 - 70 = 110

180 - 110 = 70

70  + 70 = 140

180 - 140 = 40

so the answer is 40

7 0
3 years ago
What is the y-intercept of the function f(x) = -3x<br> Ο<br> Ο<br> on who wire on<br> Ο<br> Ο
morpeh [17]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have

f(x)=-3x

so

For x=0

substitute

f(0)=-3(0)=0

therefore

The y-intercept is the point (0,0)

Part 2) we have

f(x)=-3^x

so

For x=0

substitute

f(0)=-3^0=-1

therefore

The y-intercept is the point (0,-1)

6 0
3 years ago
Please help me with this and I will give one of the answers most brainliest
inna [77]
A)

A=8\qquad\qquad B=12.5\\\\\\d(A,B)=|12.5-8|=|4.5|=\boxed{4.5\,\text{cm}}

b)

C=?\\\\\\d(C,A)=2\cdot d(C,B)\\\\|A-C|=2\cdot|B-C|\\\\|8-C|=2\cdot|12.5-C|\\\\&#10;|8-C|=|25-2C|\\\\\\8-C=25-2C\qquad\vee\qquad8-C=-(25-2C)\\\\-C+2C=25-8\qquad\vee\qquad8-C=-25+2C\\\\C=17\qquad\vee\qquad8+25=2C+C\\\\C=17\qquad\vee\qquad33=3C\quad|:3\\\\\boxed{C=17\qquad\vee\qquad C=11}

Mark 11 or 17.
4 0
3 years ago
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