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lys-0071 [83]
3 years ago
9

PLEASE HELP LATS MATH PROBLEM A, B and C

Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder).  Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.

Ex w/ 1ft base:

1^2 + b^2 = 16^2

1 + b^2 = 256

b^2 = 255

b = 15.97ft.

b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.

Ex w/ 1ft base:

15.97ft + 5.5ft = 21.47ft

c) Using logic here think about it.  Let's take the 1ft base as the example.  Marissa standing on top of the ladder is 21.47ft.  That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards.  As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.

Step-by-step explanation:

lolz

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Expand to write an equivalent expression: -1/4(-8x+12y)
lapo4ka [179]

Answer:

2x - 3y

Step-by-step explanation:

Distribute -1/4 to all the terms in the brackets.

-1/4(-8x) -1/4(12y)

2x - 3y

7 0
3 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−
Neko [114]

Answer:

P(x) = x^3 - 10x^2+ 34x-40

Step-by-step explanation:

Given

p =1 -- Leading coefficient

Zeros: 4\ and\ 3  - i

Required

Determine the polynomial

Represent the zeros with a and b

Such that

a = 4

b = 3 - i

The polynomial is:

P(x) = p * (x - a) * (x - b)

P(x) = 1 * (x - 4) * (x - (3 - i))

However, to solve further: We need to symmetrise over 3-i  and its conjugate

P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))

P(x) =  (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\

To define a suitable function, the expression becomes

P(x) =  (x - 4) * ((x - 3)^2+1)

P(x) =  (x - 4) * ((x - 3)(x - 3)+1)

P(x) =  (x - 4) * (x^2 - 6x + 9+1)

P(x) =  (x - 4) * (x^2 - 6x +10)

Open bracket

P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40

P(x) = x^3 - 6x^2  - 4x^2+10x + 24x-40

P(x) = x^3 - 10x^2+ 34x-40

5 0
3 years ago
Mary only has $28.50 in her wallet. For which of the following does she have enough money. $40 shirt with a 20% discount, $26 di
Vanyuwa [196]

Answer:

She has enough a $26 dinner with a 20% tax

Step-by-step explanation:


8 0
3 years ago
What is the value of the expression 2^2 + 4^2 ÷ 2^2?
Dennis_Churaev [7]

Answer:

The answer is C.

Hope this helped!!

6 0
3 years ago
The sum of two numbers is 62, and their difference is 8. What are the<br> numbers?
Marina CMI [18]

Answer:  35 and 27

Step-by-step explanation:

We can solve this by using a system of equations

x will be the first number while y will be the second

x+y=62

This equation means the two numbers will add to get 62

x-y=8

This equation means when subtracted the two numbers will have the difference of 8.

Now I will solve by elimination

x+y=62\\\\+x-y=8\\2x=70

When adding the two equations why was eliminated so now we can find the value of x

2x=70\\\frac{2x}{2} =\frac{70}{2} \\x=35

Now sub in x into one of the original equations to find the value of y

35+y=62\\35-35+y=62-35\\y=27

6 0
2 years ago
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