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kipiarov [429]
3 years ago
12

Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest tenth of a meter, how far did she walk?

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

?

Step-by-step explanation:

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The equation for a circle is ​x^2 − 8x + y^2 - 2y - 8 = 0
Ivanshal [37]

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square

Given

x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )

x² - 8x + y² - 2y = 8

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1

(x - 4)² + (y - 1)² = 25 → B

6 0
3 years ago
Simplify each expression.<br> (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃
babymother [125]

The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃  using the exponent rules is -3

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃

(-3)³/₃

(-3)¹

-3

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

4 0
1 year ago
Solve the equation. x2 18x 81 = 25<br> a. 14, 4<br> b. –4, –14<br> c. 14, –14<br> d. –4, 4
Snowcat [4.5K]

Answer:

The answer is the option B

-4,-14

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}+18x+81=25  

x^{2}+18x+56=0  

so

a=1\\b=18\\c=56

substitute in the formula

x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(56)}} {2(1)}

x=\frac{-18(+/-)\sqrt{100}} {2}

x=\frac{-18(+/-)10} {2}

x1=\frac{-18+10} {2}=-4

x2=\frac{-18-10} {2}=-14

7 0
3 years ago
Read 2 more answers
If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
Form a sequence that has two arithmetic means between -13 and 89.
scoray [572]
It would be D. If you add all the numbers (-18, -81, 144) and divide it by 3 then you would get -81. I hope I helped!
8 0
3 years ago
Read 2 more answers
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