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Mama L [17]
3 years ago
13

What scale factor was used in going from the grey triangle to the yellow triangle?

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

2

Step-by-step explanation:

First, we need to find out the length of the third side of the triangle. (The right side of the Y-axis) We use the pythagorean theorem to find it. 4²+2² = 20 find the square root of 20 √20 = ~4.5 so with this in mind, lets find the length of the whole triangle. 8²+4²=80 then √80 = ~9 with this, we can say that since the length of one of the legs has increased by 2, and so has the length of the base, and also the length of the hypotenuse, the scale factor must be 2.

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Lorde help me<br> surface area 10 points
USPshnik [31]

Answer:

1560 in^2

Step-by-step explanation:

10x22 = 220 bottom rectangle

1/2(10)(24) = 120 side triangle

22x26 = 572 front rectangle

24x22 = 528 back rectangle

220+120+120-572+528= 1560

6 0
2 years ago
Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $
viva [34]
Shea bought 13.5 pounds of corn

c = pounds of corn
b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24

Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5

Substitute that value to get a numerical value for c:

c = 24 - b
c = 24 - 10.5
c = 13.5

Check the math:

0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
4 0
3 years ago
An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30° angle
kifflom [539]
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7 0
2 years ago
Calculate this reflection of the triangle:
Mice21 [21]

Answer:

a = 3, b = 0, c = 0, d = -2

Step-by-step explanation:

<em>To find the reflection Multiply the matrices</em>

∵ The dimension of the first matrix is 2 × 2

∵ The dimension of the second matrix is 2 × 3

<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>

2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix

\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]  × \left[\begin{array}{ccc}0&3&0\\0&0&2\end{array}\right]  = \left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]

Compare the elements in the answer with the third matrix to find the values of a, b, c, and d

∴ a = 3

∴ b = 0

∴ c = 0

∴ d = -2

7 0
3 years ago
What division problem has a 1-digit divisor and 2-digit dividend and the largest possible quotient
lisov135 [29]

Answer:

99/1=99

Step-by-step explanation:

7 0
2 years ago
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