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KonstantinChe [14]
3 years ago
13

Which statement best describes the area of Triangle ABC shown below?

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

__

A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

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2 times -1/4 times 3
NemiM [27]

Answer:

-1.5

Step-by-step explanation:

2 times -1/4 is -0.5. -0.5 times 3 is -1.5

5 0
3 years ago
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
ludmilkaskok [199]

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

6 0
3 years ago
-1. The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let
olga nikolaevna [1]
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed

For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736

For number 3
P(-1) = 18
5 0
3 years ago
Please help me right away.
velikii [3]
I’m pretty sure it’s c , sorry if it’s wrong tho
4 0
2 years ago
a biker travel 5ft in .05seconds. At that same rate of speed , how far will the biker travel in 1minute?
Solnce55 [7]

Biker's rate is:

v = 5/0.5

v = 10 ft per sec

t = 1 min = 60 sec

d = the distance the biker travels in 1 minute

v = d/t

d = v*t

d = 10*60

d = 600 ft

The biker travels 600 feet in 1 minute

5 0
3 years ago
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