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3 years ago

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.

1 answer:

4 0

Area of a triangle:
A = a * h / 2
where a is the base and h is the height.
For a new triangle:
A ( new ) = 3 a * 3 h / 2 = 9 * a * h / 2 = 9 A
A ( new ) = 9 * 30 = 270 cm²
Answer: The area of resulting triangle is 270 cm² .

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Identify the number types that describe a bar over 7

Morgarella [4.7K]

Answer:Type of Number Example

Prime Number P=2,3,5,7,11,13,17,…

Composite Number 4,6,8,9,10,12,...

Whole Numbers W=0,1,2,3,4,…

Integers Z=…,−3,−2,−1,0,1,2,3,…

Step-by-step explanation:

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2 years ago

The real part of the complex number –5 + 3i is

Firlakuza [10]

<span>A complex number is a number of the form a + bi, where i = and a and b are real numbers. For example, 5 + 3i, - + 4i, 4.2 - 12i, and - - i are all complex numbers. a is called the real part of the complex number and bi is called the imaginary part of the complex number.</span>

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3 years ago

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Complete the equation for the line

Serggg [28]

Answer:

Yes

Step-by-step explanation:

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3 years ago

Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same

Hoochie [10]

we have

$y=\frac{2}{5}x-5$

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem

case A) $x-\frac{5}{4}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-5y= 25$

$5y=4x-25$

Divide by $5$ both sides

$y=\frac{4}{5}x-5$

therefore

the case A) is not equal to Fiona's equation

case B) $x-\frac{5}{2}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-10y= 25$

$10y=4x-25$

Divide by $10$ both sides

$y=\frac{2}{5}x-2.5$

therefore

the case B) is not equal to Fiona's equation

case C) $x-\frac{5}{4}y= \frac{25}{2}$

Multiply by $4$ both sides

$4x-5y= 50$

$5y=4x-50$

Divide by $5$ both sides

$y=\frac{4}{5}x-10$

therefore

the case C) is not equal to Fiona's equation

case D) $x-\frac{5}{2}y= \frac{25}{2}$

Multiply by $2$ both sides

$2x-5y= 25$

$5y=2x-25$

Divide by $5$ both sides

$y=\frac{2}{5}x-5$

therefore

the case D) is equal to Fiona's equation

<u>the answer is</u>

$x-\frac{5}{2}y= \frac{25}{2}$

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3 years ago

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A grocery store sells a 6-pack of bottle water for $3.79, a 9-pack for $4.50, and a 12-pack for $6.89. Which package costs the l

stiks02 [169]

Cost per bottle

6 pack is 3.79 so the cost per bottle is 3.79/6=$0.631666666666667 per bottle

9 pack is 4.50 so the cost per bottle is 4.50/9=$0.50 per bottle

12 pack is 6.89 so the cost per bottle is 6.89/12=$0.574166666667 per bottle

0.63>0.57>0.50

the one that costs the least per bottle is the 9 pack which costs $0.50 per bottle

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3 years ago