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stealth61 [152]
3 years ago
14

The scale on a map is 1cm: 7km. If two cities are 15cm apart on the map, what is the actual distance between the cities?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

105km

Step-by-step explanation:

1/7=15/x

So x=7*15

x=105

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6.X + 4 using the algebra
Tems11 [23]

Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

5 0
3 years ago
Read 2 more answers
Jerome will be buying a used car for $11,000 in 4 years. How much money should he ask his parents for now so that, if he invests
hjlf

Answer:

$7,987.64

Step-by-step explanation:

We know,

A = Pe^(rt)

Here,

A = 11000  

interest r = .08

Time t = 4

Now,

11000 = Pe^(.08 * 4)

Or, 11000 = Pe^.32  

Or, 11000 / e^.32 = P

Or, 7987.6394 = P

Or, P= 7,987.64

Jerome will have to ask for $7,987.64 to his parents.  

4 0
4 years ago
analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
4 years ago
Read 2 more answers
A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t
olga_2 [115]
The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6
3 0
3 years ago
The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c
Slav-nsk [51]

\text{Answer} : \text{The expected value of a t-shirt is \$31.}

Explanation:

Since we have given that

The prices of three t-shirts styles  i.e $24, $30, $36 with their probability is given by

\frac{1}{6}, \frac{1}{2},\frac{1}{3}

As we know that,

E(X)= \sum_{1}^{3}x_iP(x_i)

\text{where} x_i \text{ is the prices of t- shirts styles}

Now,

x_1= \$24 , x_2=\$30 , x_3=$36

and

P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}

So,

E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31

So, the expected value of a t-shirt = $31.

4 0
3 years ago
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