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3 years ago

Someone help me answer this

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

c = 53 yd is the answer.

Step-by-step explanation:

a = 45 yd

b = 28 yd

c = ?

According to the Pythagorean Theorem,

a² + b² = c²

45² + 28² = c²

2025 + 784 = c²

c² = 2809

c = 53 yd

∴ The dog runs 53 yd

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The fourth term of an arithmetic

yulyashka [42]

Answer:

Step-by-step explanation:

Given AP where:

a₄ = 2a₂ - 1
a₆ = 7

To find

a₁ = ?

Since

a₄ = a₁ + 3d
a₂ = a₁ + d
a₆ = a₁ + 5d

Initial equations will change as:

a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

Comparing the above:

d + 1 = 7 - 5d
6d = 6
d = 1

Then:

a₁ = d + 1 = 1 + 1 = 2
a₁ = 2

The first term is 2

5 0

3 years ago

There is 5/6 of an apple pie left from dinner. Tomorrow, victor plans to eat 1/6 of the pie that was left. How much of the whole

V125BC [204]

Lets assume the whole pie is 1, that is all fractions added together have to sum 1.
If Victor eats 1/6 out of 5/6, then the rest is 4/6 of the pie, that is the subtraction of those fractions.

7 0

3 years ago

Read 2 more answers

The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa

Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

$A=P(1+\frac{r}{n})^{nt}$

Where A = amount (98,000)

P = Principal amount (P)

r = rate of interest 4.1% (0.041)

n = number of compounding interest monthly (12)

t = time (35 years)

$98,000=P(1+\frac{0.041}{12})^{(12)(35)}$

$98,000=P(1+0.003416)^{(420)}$

$98,000=P(1.003416)^{(420)}$

98,000 = P(4.189386)

= 4.189386P = 98,000

P = $\frac{98000}{4.189386}$

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0

3 years ago

Read 2 more answers

7>-4; subtract 7 from both sides

motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0

3 years ago

A restaurant wants to gather data about a new dish by giving out free samples and asking for feedback. Who should the restaurant

mote1985 [20]

The restaurant would have to give the free samples to its customers so that they would provide a feedback for the business.

<h3>What is feedback?</h3>

This is the word that is used to refer to the information that one has to create or give as way of reacting to the use of a product or of a new service.

This is a way of bringing about improvements or about bringing a new line into a new market. The customers in this case would have to tell the restaurant what they think about the new dish.