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3 years ago

6

Guilia runs an average of 15 minutes each day.She has a goal of running 10 to the power of two minutes in 7 days. Will she compl

ete her running goal in 7 days?

1 answer:

zheka24 [161]3 years ago

6 0

Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes

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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation

wlad13 [49]

Answer:

Option 4

Step-by-step explanation:

Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b

The average of them will always lie in between them or be equal(if 0).

Let's prove : According to the statement,

a ≥ (a + b)/2 ≥ b

2a ≥ a + b ≥ 2b

2a ≥ a + b and a + b ≥ 2b

a ≥ b and a ≥ b, as we assumed.

Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.

In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.

Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.

Option (4), infinite solutions.

Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).

7 0

3 years ago

A rectangle has an area of 20 ft.² in a similar rectangle has an area of 180 ft.² what is the ratio of areas of the similar

vovikov84 [41]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s^2}{s^2}=\cfrac{20}{180}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{20}{180}\implies \cfrac{s}{s}=\sqrt{\cfrac{20}{180}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{20}}{\sqrt{180}}\implies \cfrac{s}{s}=\cfrac{2\sqrt{5}}{6\sqrt{5}}\implies \cfrac{s}{s}=\cfrac{2}{6}\implies \cfrac{s}{s}=\cfrac{1}{3}$

6 0

3 years ago

PLEASE HELP ME Check the picture and tell me whats the answer please

german

Answer:

B

Step-by-step explanation:

Given

(4x + 3)(3x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis

= 12x² - 16x + 9x - 12 ← collect like terms

= 12x² - 7x - 12

The coefficient of the x- term is - 7 → B

3 0

3 years ago

Guys please help me

stich3 [128]

Answer: (x + [-1], y + [1])

Step-by-step explanation:

<em>See attached. </em>We can draw, or picture it in our heads, what the reflection would look like. Then we can pick one (or multiple to test) points and see the translation.

We can also test with a set of points. B', (2, 4) becomes G in the transformation. G is at (1, 5)

(1 - 2, 5 - 4) -> (-1, 1)

8 0

1 year ago

Read 2 more answers

How do I solve for h

WITCHER [35]

All the triangles are similar, so the ratio of (long leg)/(short leg) is the same. The long leg of ΔADB is
.. AD = AC -DC = 20 -4
.. AD = 16

Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8

Selection D is appropriate.

_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))

8 0

3 years ago