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Fed [463]
2 years ago
5

A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of

12 what is the area of the actual building lot
Mathematics
1 answer:
Tamiku [17]2 years ago
5 0
Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²
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The size of the angle of a triangle are are in the ratio 2:4:9 calculate the size of the three angles in degree
solmaris [256]
Total Unit of Triangle = 2+4+9 = 15
Value of one unit = 180/15 = 12

So, Angles = 2(12) : 4(12) : 9(12) = 24 : 48 : 108

In short, Your Angles would be: 24, 48 & 108

Hope this helps!
3 0
3 years ago
Ion 1(Multiple Choice Worth 2 points)
Alexxandr [17]

Answer:

105.19.

Step-by-step explanation:

Area = 1/2 ac sin B

= 1/2 * 10 * 22 * sin 107

= 105.19..

4 0
3 years ago
The sum of 3 and 7 times a number is 45
san4es73 [151]

Answer:

4.5

Step-by-step explanation:

The sum of 3 and 7 is 10

then what number to you multiply 10 by to get 45

45 ÷ 10 = 4.5

so the answer is 4.5

6 0
2 years ago
Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x?
irina [24]
Next time, please share the answer choices.
Starting from scratch, it's possible to find the roots:

<span>4x^2=x^3+2x should be rearranged in descending order by powers of x:

x^3 - 4x^2 + 2x = 0.  Factoring out x:  </span>x(x^2 - 4x + 2) = 0

Clearly, one root is 0.  We must now find the roots of (x^2 - 4x + 2):

Here we could learn a lot by graphing.  The graph of y = x^2 - 4x + 2 never touches the x-axis, which tells us that (x^2 - 4x + 2) = 0 has no real roots other than x=0.  You could also apply the quadratic formula here; if you do, you'll find that the discriminant is negative, meaning that you have two complex, unequal roots.
5 0
3 years ago
Read 2 more answers
What is the solution to the system of equations?<br><br> {y=5x−10y=−3x+14
Dahasolnce [82]

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

5 0
3 years ago
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