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zhenek [66]
3 years ago
14

A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wa

ll does the ladder reach?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Use the Pythagorean Theorem:
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
        b² = 56.25
        b = 7.5

 The ladder reaches a height of 7.5 ft on the wall
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Jane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an add
pishuonlain [190]
She will need to drive 110 miles to be the same
4 0
3 years ago
The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person s
Fynjy0 [20]

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

3 0
2 years ago
Reduce to simplest form<br> 3/2 + ( -6/5 ) = ?
frosja888 [35]

Answer:

Step-by-step explanation: 3/2=1.5   (-6/5)=(-1.2)    1.5+(-1.2)=0.3

Answer=0.3

5 0
2 years ago
Read 2 more answers
To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x
Fiesta28 [93]

Given function is

f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

kx^2-5

so RHD= k(-4)^2-5

Now set both equal

k(-4)^2-5=3(-4)+k

16k-5=-12+k

16k-k=-12+5

15k=-7

k=-\frac{7}{15}

k=-0.47

<u>Hence final answer is -0.47.</u>




7 0
3 years ago
Find The Five<br> Rational number<br> Between<br>-3/2 and 5/3​
Umnica [9.8K]

here is your answer

1.61 , 1.6245, 1.512, 1.432, 1.32456

Step-by-step explanation:

covert fraction to decimal we get,

-3/2 = -1.5 and 5/3 = 1.70

and any number that lies between these two numbers which is terminating and non repeating or non terminating repeating.. that are the numbers that you need.

3 0
3 years ago
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