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kondaur [170]
3 years ago
13

It is 5 cm between two buildings on a map that has a scale of 100 000:1. What is their actual

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

C 5 km

Step-by-step explanation:

so, 5 cm on the map correlates to

5×100000 = 500000 cm in reality.

100 cm = 1 m

1000 m = 1 km

so, 500000 / 100 = 5000 m.

5000 / 1000 = 5 km

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Leon wants to buy a shirt that costs $80. The sales tax is 5.5%. How much is the sales tax?
GenaCL600 [577]

Answer:

4,4

Step-by-step explanation:

80×5,5%

80/1×5,5/100

4/1×5,5/5

22/5 = 4 2/5

4 2/5 = 4 4/10 = 44/10 = 4,4

7 0
3 years ago
Find an equation for the line perpendicular to 2x+ 6y = 30 and goes through the point (6,2)
Mashutka [201]

Answer:

y = 3x - 16

Step-by-step explanation:

We are asked to find the equation of the line perpendicular to 2x + 6y = 30

We can use two formulas for this question, either

y = mx + c. Or

y - y_1 = m(x - x_1)

Step 1: calculate the slope

From the equation given

2x + 6y = 30

Make y the subject of the formula

6y = 30 - 2x

Or

6y = -2x + 30

Divide both sides by 6, to get y

6y/6 = ( -2x + 30)/6

y = (-2x + 30)/6

Separate them in order to get the slope

y = -2x/6 + 30/6

y = -1x/3 + 5

y = -x/3 + 5

Slope = -1/3

Step 2:

Note: if two lines are perpendicular to the other, both are negative reciprocal of each other

Perpendicular slope = 3/1

Substitute the slope into the equation

y = mx + c

y = 3x + c

Step 3: substitute the point into the equation

( 6,2)

x = 6

y = 2

2 = 3(6) + c

2 = 18 + c

Make the c the subject

2 - 18 =c

c = 2 - 18

c = -16

Step 4: sub the value of c into the equation

y = 3x + c

y = 3x - 16

The equation of the line is

y = 3x - 16

If you try out the other formula, u will get the same answer

5 0
4 years ago
17 points this is worth all of my points please help
Sidana [21]

Answer:

The answer is the first one, the one that has 1 dot on #13  and has 3 dots on #3. Hope this helps. :)

4 0
3 years ago
Read 2 more answers
Use the key features of the polynomial f(x) = −4x4 + 4x3 + 9x2 − 12x + 10 to describe its end behavior.
Aleks04 [339]

Answer:

The end behavior of a polynomial is determined by its grade, if it's an odd polynomial or an even polynomial. Also, another important characterstic is the leading coeffcient, because if it's positive, then the function will open to positive territory, this apply the most to even polynomials.

The given expression is

f(x)=-4x^{4} +4x^{3}+9x^{2}  -12x+10

As you can notice, the polynomial function has a grade of 4, that means it's an even function, with negative leading coefficient.

Therefore, the given function open towards negative side, that means it's end behavior is downside.

The image attached shows the graph of the function, there you can observe the end behavior we determined.

3 0
3 years ago
Give me the answers pls
Leviafan [203]

Answer:

6 square cm

Step-by-step explanation:

b = 4 cm, H = 3 cm

AREA OF THE TRIANGLE

A =  \frac{1}{2} bh  \\  \\ =  \frac{1}{2}  \times 4 \times 3 \\  \\  = 2 \times 3 \\  \\  = 6 \:  {cm}^{2}

6 0
3 years ago
Read 2 more answers
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