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Leto [7]
2 years ago
12

Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a

nd in which quadrant would you be on the map?
a. 10 miles, quadrant II
b. 6 miles, quadrant II
c. 6 miles, quadrant III
d. 1.2 miles, quadrant III

Mathematics
2 answers:
Alinara [238K]2 years ago
7 0
I got answer c as well 

dimulka [17.4K]2 years ago
5 0
We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

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svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

      2y = 3000 - 3x

      y = \frac{1}{2}[3000-3x]

      y = 1500 - \frac{3x}{2}

Now area of the rectangle A = xy square feet

A = x[1500-\frac{3x}{2}]

For maximum area \frac{dA}{dx}=0

A' = \frac{d}{dx}(1500x-\frac{3}{2}x^{2}) = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - \frac{3}{2}\times 500

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

other two fencing 2(750+750) = $3000

8 0
3 years ago
Plz, answer! 34 + 2 ⋅ 5 =
8_murik_8 [283]

3^{4} + 2 × 5

To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses  

There are none for this steps so go on to the next step

Exponent:

3^{4}

81

so...

81 + 2 × 5

Multiplication:

81 + 2 × 5

2 × 5

10

so...

81 + 10

No division in this equation so skip this step and go to the next one

Addition:

81 + 10

91

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
2 years ago
Read 2 more answers
when you go to answer this, can someone please give me the steps on how to do it, because I think I'm doing it wrong ​
leva [86]

Answer:

TUA=123

Step-by-step explanation:

so first we find <TUS in terms of x

so 180-11x-2

178-11x

so now we can use the sum of a triangle's angles which is always 180 to find the angles in triangle TUS

178-11x+5x+10+58=180

178-6x=112

take 178 from both sides

-6x=-66

x=11

so we can do 11x11+2=TUA

TUA=123

6 0
2 years ago
Label the sides of the triangle with leg, leg, and hypotenuse.​
Softa [21]

Answer:

Step-by-step explanation:

5. is hypothenuse because it is across from the right angle

3. and 4. are legs

3 0
3 years ago
Read 2 more answers
F(x) = x + 2<br> g(x) = x - 4<br> (f g)(x) =
tankabanditka [31]

Answer:

f(g(x))= x-2

Step-by-step explanation:

f(g(x))= (x-4)+2      -plug g(x) into the place of x in the f(x) function

f(g(x))= x-4+2        -parentheses aren't needed

f(g(x))=x-2             -combine like terms

7 0
3 years ago
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