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tamaranim1 [39]
3 years ago
8

A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. What is the area of

the new triangle

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 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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Since the slope is -2 because
x1: -1 x2: 0
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You would havr to change it into point slope form so it would look like this
Y-2 = -2(x+1)
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8 0
3 years ago
Mrs. Smith has 12 times as many markers as colored pencils. The total number of markers and colored pencils is 78. How many mark
yanalaym [24]

The answer is 930, because 78 multiply 12 is 930.
3 0
3 years ago
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Find f(-3) if f(x) = x2.
Vesna [10]

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

7 0
3 years ago
Catarina and Tom want to buy a rug for a room that is 9 by 19 feet. They want to leave an even strip of flooring uncovered aroun
oksano4ka [1.4K]

Answer:

17ft wide

Step-by-step explanation:

The room is 9 by 19ft

Length (x) = 19ft

Width(y) = 9ft

Area of the rug = 119ft^2

x*y = 119 ...........(1)

For the second equation we will make sure the strip around the room is uniform in size

9 - x = 19 - y

-x = 19 - 9 -y

-x = 10 - y

x = y - 10 ..........(2)

Put the value x in equation 1

(y - 10)y = 119

y^2 - 10y = 119

y^2 - 10y - 119 = 0

a = 1, b = -10, c= -119

Use quadratic formula to solve the equation

y = (-b +/-√b^2 -4ac) / 2a

y = [-(-10) +/- √ (-10)^2 - 4(1)(-119)] /2(1)

y = (10 +/- √100 + 476) /2

y = (10+/-√ 576 ) / 2

y = (10 +/- 24) / 2

y = (10 + 24) /2 or (10 - 24)/2

y = 34/2 or -14/2

y = 17 or -7

y = 17 ft

Recall that x = y - 10

x = 17 - 10

x = 7ft

5 0
3 years ago
In Exercises 8-10, sketch the figure described.
Lunna [17]

The sketch answers to question 8, 9 and 10 is given in the image attached.

<h3>What is an intersecting lines?</h3>

A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.

Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.

Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting

Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.

Learn more about intersecting  lines from

brainly.com/question/2065148

#SPJ1

6 0
1 year ago
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