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Fynjy0 [20]
4 years ago
11

How to slove this problem?

Mathematics
2 answers:
Svetllana [295]4 years ago
7 0
Since the kites are similar, their sides correspond.  You can set up proportions like this:

\frac{40}{48} = \frac{20}{x}

This states that 40 (small kite) is to 48 (big kite) as 20 (small kite) is to x (big kite).  After that, use cross-multiplication to solve for x:

40x = 48*20 \\ 40x=960 \\ x=24

x must be 24 units long.
Feliz [49]4 years ago
3 0
So, since the polygons are similar, they will share a scale factor. 

The dilation is a reduction.

SF= preimage/image

SF=48/40

SF= 1.2

To find the value of x, multiply 20 by 1.2, so:

20(1.2)=24

Thus, x = 24

Now, to check if the sides are proportional (this will determine if the polygons are, in fact, similar.)

24/20=1.2
48/40=1.2

BTW, the missing side measure for the image is 40 since 48 is its corresponding side, and 48/1.2 (SF) is 40.

Hence, we have 48/40= 1.2

<span>ʕ •ᴥ•ʔ</span>




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katrin [286]
It's one of the ways to count it:

3/4 (n + 3) = 9
3/4n + 3/4 * 3 = 9
3/4n + 9/4 = 9
3/4n + 2 1/4 = 9     / - 2 1/4 (both sides)
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8 0
3 years ago
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A hot air balloon is hovering 150 ft above the spot from where it
Korvikt [17]

Answer:

260 feet

Step-by-step explanation:

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7 0
3 years ago
Analyze both functions and describe in detail under what conditions Stephanie's profit, in dollars, would be greater than Bryson
fomenos

Answer:

The number of tomatoes must be less than 40.

Step-by-step explanation:

Stephanie and Bryson both grow tomatoes to sell at farmers' markets. Stephanie grew a total of 70 pounds  of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the  profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.

f(x) = 3.50x -110

Bryson plans to sell his tomatoes at a different farmers' market. He grew a total of 90 pounds of tomatoes.

The table below shows the profit, in dollars, he will earn by selling different numbers of pounds of

tomatoes.

Bryson's Tomato Sales

-97.50 -55.00 -12.50 30,00

Profit (dollars)

Pounds of

Tomatoes Sold

10

20

30

40

Solution:

For Stephanie, let x represent the number tomatoes sold and f(x) represent the profit in dollars. The profit is given by:

f(x) = 3.5x - 110

For Bryson, let x represent the number tomatoes sold and y represent the profit in dollars. From the table, the profit can be represented by the points (10, -97.5) and (40, 30). The profit can be gotten using the formula:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-97.5)=\frac{30-(-97.5)}{40-10} (x-10)\\\\y+ 97.5=4.25(x-10)\\\\y+97.5=4.25x-42.5\\\\y=4.25x-140

Stephanie profit > Bryson profit

3.5x - 110 > 4.25x - 140

3.5x - 4.25x > -140 + 110

-0.75x > -30

x < 40

8 0
3 years ago
What is 1/4 of 10 explain
kari74 [83]
Too many points for such a simple explanation :)) Whatever:
To get 1/4 of a number you multiply the number by 1/4. Same for any non-percent number. If the number is a percent, say, 23,5%, you first divide it by 100 to get a non-percent, then do the same, that is, multiply it by the number.
Our result is \frac{1}4*10=\frac{10}4=\frac{5}2=2\frac{1}2=2.5
4 0
3 years ago
At Best Buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%.What is final
EastWind [94]

Answer: $1131.56

Step-by-step explanation: $1250- 15%=$1062.5

$1062.5+6.5%= $1131.5625

4 0
3 years ago
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