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Andrej [43]
3 years ago
11

Does anyone know any 7th grade math? cus i really need help with this.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

All we have to do is plug in the values! 1/2(4)(10+5) will give us the area. Now we simplify!

2(15) = A

30=A

Our answer is B!

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A playground is shaped like a quaderaleteral with all sides 27 feet long, with two angles measures of 65 degrees and two angles
Ksivusya [100]

Answer:

Rhombus

Step-by-step explanation:

Shape of a playground is a quadrilateral

It is given that  all sides of a quadrilateral are= 27 feet

Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square

Two angle are 65° each

And other two angers are 115° each

65°+ 115°= 180°

It forms a co-interior angle

Hence the quadrilateral is a parallelogram

Since all the four sides of parallelogram are equal, than the given figure must be rhombus

Hence, geomatric shape best describes the shape of the playground is Rhombus.

7 0
3 years ago
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0
3 years ago
Solve the system of equations.<br><br> 6x−y=−14<br> 2x−3y=6<br><br> whats the answer please C:
TEA [102]

Answer:

Step-by-step explanation:

3 0
3 years ago
You want to rent movies online. The new service charges a sign up fee of
Nezavi [6.7K]

y = 12x + 10

Assuming that your question is multiple choice, the variables might be different.

The reason that it's represented as 12x + 10 is because there is a flat fee of $10 when you sign up. From then on afterward, every month you pay $12.

In this equation, the variable 'y' represents the total cost, while 'x' represents the number of months this service was in use.

8 0
3 years ago
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Ryan runs 8 miles in 74 minutes. How many minutes does he run per mile?
blsea [12.9K]
I think it takes him about 9 minutes and 25 seconds to run a mile
4 0
3 years ago
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