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Andre45 [30]
3 years ago
7

If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a

triangle? Would you be able to create a frame from these pieces of wood? Yes or No. Explain your mathematical thinking
Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

  Yes

Step-by-step explanation:

In order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.

Here, 4 + 4 > 7, so the lengths can form a triangle.

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Shylan's vegetable garden is florishing. She has 20 plants in her garden which are broken into equal rows. 1/5 of the rows are c
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Step-by-step explanation:

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3 years ago
Mofor’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen t
kari74 [83]

Answer:

Senior citizen tickets = 9

Student tickets = 10

Step-by-step explanation:

We begin by converting the question into simultaneous linear equations;

Senior citizen tickets = a

Student tickets = b

4a + 6b = 96

8a + 13b = 202

to find a,

if 4a +6b = 96

a = 96/4 - 6b/4

a = 24 - 1.5b

We now substitute this into the second equation

8(24 - 1.5b) + 13b = 202

192 - 12b + 13b = 202

b = 202 - 192

b = 10

We now put the value of b in either equation

4a + 6b = 96

4a + 6(10) = 96

4a + 60 = 96

4a = 96 - 60

4a = 36

a = 9

7 0
3 years ago
The sum of two numbers is 25. Create an equation using two variables that represents this situation.
dmitriy555 [2]

Answer:

x+y=25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centim
almond37 [142]

Answer:

111 cm^2

Step-by-step explanation:

h = 11.4

d = 5  so  r (radius) = 2.5

Surface Area of a Cone Formula: πr^2 + πrs

s represents the slant height of the cone, lets represent this with a drawing.

We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.

a^2 + b^2 = c^2

These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.

s = √(11.4^2 + 2.5^2)   so  s = 11.67

now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs

π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2

6 0
2 years ago
Read 2 more answers
6 - 2x ≤ 12 or 7 + 2x < -11
Phoenix [80]

Answer: X< -9

Step-by-step explanation: 7+2x<-11 move the constant to the right and change its sign. 2x<-11-7. Now calculate the difference, which should get to... 2x<-18. Then you just divide both sides of the inequality by 2. Which should get your answer.... X< -9

4 0
3 years ago
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