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andrew-mc [135]
3 years ago
12

a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About h

ow long is a textbook? e. About how long is a car?
Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

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The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale f
Lapatulllka [165]

Answer:

The coordinates of its image after dilation by a scale factor of 2 will be:

  • V'(12, 4)
  • W'(-4, 8)
  • X'(-6, -10)
  • Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

  • V(6, 2)
  • W(-2, 4)
  • X(-3, -5)
  • Y(3, -5)

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

<u>Using the formula of dilation by a scale factor of 2</u>

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y)          →           (2x, 2y)

V(6,2)        →         (2(6), 2(2))        =      V'(12, 4)

W(-2, 4)     →         (2(-2), 2(4))       =      W'(-4, 8)

X(-3, -5)     →         (2(-3), 2(-5))      =      X'(-6, -10)

Y(3, -5)      →          (2(3), 2(-5))       =      Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

  • V'(12, 4)
  • W'(-4, 8)
  • X'(-6, -10)
  • Y'(6, -10)
8 0
3 years ago
Express tan A as a ratio with a rationalized denominator.
Hitman42 [59]
tan A = opposite/ adjacent , so it is equal to 7/ 4V2, or 7V2/4 which is answer B
5 0
3 years ago
What is 2+2 as a fraction
BabaBlast [244]
You mean what's the answer as a fraction or the equation as a fraction?

4/1 would be the answer as a fraction. 2/1 + 2/1 would be the equation as a fraction.
3 0
3 years ago
Read 2 more answers
Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family
RideAnS [48]

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

3 0
3 years ago
Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc
mihalych1998 [28]

Question is Incomplete; Complete question is given below;

Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.

Answer:

The system of equations are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

The reasonable price for pair of pants is $20.

Step-by-step explanation:

Let the price of shirt be 'x'.

Let price of pair of pants be 'y'.

Given:

Olivia purchased 8 shirts 4 pairs of pants for $176

So we can say that;

8 multiplied by the price of shirt plus 4 multiplied by the price of pair of  pants is equal to 176.

framing in equation form we get;

8x+4y=176 \ \ \ \ equation \ 1

Also Given:

Raheem purchased 3 shirts and 4 pairs of pants for 116.

So we can say that;

3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.

framing in equation form we get;

3x+4y=116 \ \ \ \ equation \ 2

Hence the system of equation are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

Now by using elimination method we will subtract equation 2 from equation 1 we get;

(8x+4y)-(3x+4y)=176-116\\\\8x+4y-3x-4y = 60\\\\5x =60\\\\x=\frac{60}{5}=\$12

Now Substituting the value of x in equation 1 we get;

8x+4y=176\\\\8\times 12+4y =176\\\\96+4y=176\\\\4y =176-96\\\\4y = 80\\\\y= \frac{80}{4} =\$ 20

Hence The reasonable price for pair of pants is $20.

4 0
3 years ago
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