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3 years ago

11

In the diagram, represents the location of the Sun, V represents the location of Venus, and E represents the location of Earth.

If the distance between Venus and the Sun is about 67 million miles, the distance between Earth and the Sun is about 93 million miles, and VS is perpendicular to ES, what is the distance (to the nearest miles ) between Venus and Earth

1 answer:

Ann [662]3 years ago

6 0

Answer:

Venus to Earth = 114.6211 million miles = 114, 621, 100 miles

Step-by-step explanation:

use the Pythagorean theorem

67^2 + 93^2 = VE^2

4489 + 8649 = 13138

VE = 114.6211 million miles

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Damm [24]

Answer:

A. $1.25x + 7y \le 110$

Step-by-step explanation:

No more than 110 lb total will be grilled. That means that the amount of meat that will be grilled is equal to or less than 110 lb.

$total~weight \le 110$

The total weight is made up of the weight of the chicken legs plus the weight of the racks of ribs.

1 chicken leg weighs 1.25 lb.

x chicken legs weigh 1.25x.

1 rack of ribs weighs 7 lb.

y racks of ribs weight 7y.

The total weight of the meat is

1.25x + 7y.

That weigh must be less than or equal to 110 lb.

$1.25x + 7y \le 110$

Answer: A. $1.25x + 7y \le 110$

8 0

3 years ago

Read 2 more answers

The operation denoted is by * is commutative and why?

kipiarov [429]

Answer:

The commutative property of multiplication states that changing the order of the numbers we are multiplying, does not change the product.

3 0

3 years ago

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals $5^{10}$ or not

Take for instance:

$5^5 * 5^5$

Using law of indices:

$5^5 * 5^5 = 5^{5+5$

$5^5 * 5^5 = 5^{10$ ---- equivalent

$\frac{5^5 + 5^5}{2 * 5^{-5}}$

Factorize the numerator

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}$

Cancel out 2

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}$

Apply law of indices

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10$ ---equivalent

$125 * 78125$

Express as exponent

$125 * 78125 = 5^3 * 5^7$

Apply law of indices

$125 * 78125 = 5^{3+7$

$125 * 78125 = 5^{10$ ---- equivalent

$5^3 + 5^7$

Solve exponents

$5^3 + 5^7 = 125 + 78125$

$5^3 + 5^7 = 78250$ ---- not equivalent

4 0

3 years ago

John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n

musickatia [10]

Answer:

(D) 36%

Step-by-step explanation:

Actual cost of truck = $4500

Down payment = $1500

Money left to be paid = 4500-1500 = $3000

A = Monthly payments = 350

n = 10

Principal value (P) = 3000

Using formula,

A= $\frac{Pr(1+r)^{n}}{(1+r)^{n}-1}$

350 = $\frac{3000r(1+r)^{10}}{(1+r)^{10}-1}$

= 36% (approx)

Hence (D) is correct.

5 0

3 years ago

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

podryga [215]

Answer:

Step-by-step explanation:

30 meters

5 0

3 years ago