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3 years ago

Find the lengths of the diagonals of this trapezoid.

Mathematics

1 answer:

Andrei [34K]3 years ago

4 0

I think we need a trapazoid

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The shipping fee is 3.5% of the cost of the items. If the shipping fee is $15.00, the cost of the items is:

MariettaO [177]

Answer:

105

Step-by-step explanation:

6 0

3 years ago

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They h

Assoli18 [71]

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: brainly.com/question/25285332

6 0

1 year ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

Solve 4 2 + 7) = 16.

Karolina [17]

Answer:

4(2+7)=16

The answer is:

36=16

or

A

Hope this helps:3

4 0

3 years ago

Mrs. Webster wants to divide 6 pints of

Zolol [24]

Answer:

18 servings each pint being 1/3 serving size that 3 servings per pint 3×6 =18

7 0

2 years ago