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Nitella [24]
3 years ago
7

Mike is building a scale model of the statue of liberty, which is 305 feet tall. If she uses the scale of 1 inch = 10 feet,how t

all will her model be? Put the exact answer
Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

The height of the model is 30.5 in

Step-by-step explanation:

we know that

The scale is

\frac{1}{10}\frac{in}{ft}

using proportion

Find out how tall will her model be  if the actual height is 305 ft

Let

x -----> the height of the model in inches

\frac{1}{10}\frac{in}{ft}=\frac{x}{305}\frac{in}{ft}\\\\x=305/10\\\\x=30.5\ in

therefore

The height of the model is 30.5 in

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F(x) = x + 6 , find the ordered pair when x = -2.
ss7ja [257]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{Option A, (-2, 4)}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{f(x) = x + 6}

Find:  \textsf{f(-2)}

Solution:  We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.

<u>Plug in the values</u>

  • \textsf{f(x) = x + 6}
  • \textsf{f(-2) = -2 + 6}

<u>Simplify</u>

  • <u />\textsf{f(-2) = -2 + 6}
  • \textsf{f(-2) = 4}

Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.

7 0
2 years ago
What is 3x 2/7 as a fraction
ioda

Answer:

6/7

Step-by-step explanation:

Hope this helps!!

8 0
3 years ago
Read 2 more answers
1+4=5<br> 2+5=12<br> 3+6=21<br> 5+8=?
Monica [59]
1+(1*4)=5 
2+(2*5)=12
3+(3*6)= 21
5+(5*8)=45
Hope this helps
3 0
3 years ago
Read 2 more answers
A
11Alexandr11 [23.1K]

Answer:

4cm

Step-by-step explanation:

Volume of a prism :Area of cross section x height.

so,

72cm^3 = 18cm^2 x h

h = 72/18 = 4cm

Hope this helps

Good Luck

6 0
3 years ago
PLEASEEEEEE HELPPPPPPPPP!!!!!!!!!!!!!!!!! ON ASSESSMENTTTT PRACTICEEEE ITS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the co
adelina 88 [10]

In order to determine the vertex of the given functions, consider that the general form of a quadrati function is:

y = ax² + bx + c

The value of x for the vertex is given by:

x = -b/2a

The value for y, based on the previous values of x, is the y value of the vertex. Use the previous expression to find the vertices:

1. y = x² + 8x - 6

x = -8/2(1) = -4

y(-4) = (-4)² + 8(-4) - 6 = 16 - 32 - 6 = -22

Hence, the vertex is (-4,-22)

2. y = -4x² - 24x - 5

x = -(-24)/2(-4) = -6

y(-6) = -4(-6)² - 24(-6) - 6 = -144 + 144 - 6 = -6

Hence, the vertex is (-6,-6)

3. y = 2x² - 3x + 7

x = -(-3)/2(2) = 3/4 = 0.75

y(3/4) = 2(3/4)² - 3(3/4) + 7 = 18/16 - 9/4 + 7 =5.875

Hence, the vertex is (0.75 , 5.875)

4. y = -x² + 5x - 6

x = -5/2(-1) = 5/2 = 2.5

y(5/2) = -(5/2)² + 5(5/2) - 6 = 0.25

Hence, the vertex is (2.5 , 0.25)

5. y = 1/2 x² + 6x - 5

x = - 6/(2(1/2)) = -6

y(-6) = 1/2 (-6)² + 6(-6) - 5 = -23

Hence, the vertex is (-6 , -23)

6. y = 4x² + 7

x = -0/2(4) = 0

y(0) = 4(0) + 7 = 7

Hence, the vertex is (0 , 7)

8 0
1 year ago
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