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Aleksandr [31]
2 years ago
11

Please help me...A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. Wh

at is the area of the new triangle.
48ft^2
72ft^2
144ft^2
864ft^2
Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

Answer:

864\ ft^2

Step-by-step explanation:

we know  that

The area of a triangle is equal to

A=\frac{1}{2}bh

A=24\ ft^{2}

24=\frac{1}{2}bh -------> 48=bh------> equation A

where

b is the base of the triangle

h is the height of the triangle

In this problem the dimensions of the triangle are increased by a scale factor of 6

so

the new dimensions of the triangle are

b=6b, h=6h

The new area of the triangle will be

A1=\frac{1}{2}(6b)(6h)

A1=18bh ------> equation B

Substitute equation A in equation B

A1=18[48]=864\ ft^2

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Step-by-step explanation:

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4 0
3 years ago
Solve this please <br> 6x = 1,620
mylen [45]
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8 0
3 years ago
Read 2 more answers
THIS IS FOR 19 POINTS!!!
zepelin [54]
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2).  Same rule.  e² x e⁷ = e⁹

3).  Same rule, but make sure to start with like bases.

2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶

4).  Same rule, but make sure to start with like bases.

4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸

5).  To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶

6).  Same rule.    v¹⁴ / v⁶ = v⁸

7).  Same rule, but make sure to start with like bases.

15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵

8).  Same rule, but make sure to start with like bases.

10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷

9).  Same rules.  Add exponents to multiply, subtract them to divide.

( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²

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4 0
3 years ago
Name the quadrant in which the angle lies the
Brums [2.3K]

Answer:

quad 3

Step-by-step explanation:

Subtract multiples of 360

944 -360

584

584 -360

224

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181 - 270 is in quad 3

4 0
3 years ago
The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
ddd [48]

Answer:

a = 8 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Volume of a Cube Formula: V = a³

  • <em>a</em> is a side length

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>V</em> = 512 cm³

<u>Step 2: Find </u><em><u>a</u></em>

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  2. [Equality Property] Cube root both sides:                                                      8 cm = a
  3. Rewrite:                                                                                                             a = 8 cm
8 0
3 years ago
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