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12345 [234]
3 years ago
12

Find the perimeter of the figure​

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

114 ft

Step-by-step explanation:

We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.

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Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden
alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

.75d+1.25g=21.00\\d+g=22

I prefer to solve using substitution, but elimination can be used as well

.75d+1.25g=21.00\\g=22-d

We can now plug in this g value to the first equation

.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13

This means mary bought 13 delicious apples. She bought 22 apples in total,  so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

<em>Let me know if you have any questions! Spread the love. </em>

3 0
2 years ago
Find the inflection point of the function of f(x) = x³ -6x² +12x
Wewaii [24]

Points of inflections are zeroes of the second derivative. We have:

f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12

So, the second derivative equals zero if and only if

f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2

So, this is the only point of inflection of this function.

5 0
3 years ago
A dress needs 3 1/4 yards of fabric to make. If the matching jacket requires 5/6 less yards of fabric. How much fabric is needed
oksian1 [2.3K]
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
3 0
3 years ago
Multiply<br><br> 2.5<br> 5.4 =<br><br> ​(Type an integer or a simplified​ fraction.)
zepelin [54]

Answer:

Fractional form of 2.5 is 5/2.

5.4 as a fraction is 27/5.

4 0
3 years ago
Steps for solving 5(2x - 8) = 20 are shown.
kykrilka [37]
Answer: D. Using the commutative property

explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.
3 0
3 years ago
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