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Julli [10]
2 years ago
10

An ant moves 18 millimeters every 5 seconds

Mathematics
1 answer:
vaieri [72.5K]2 years ago
7 0

Answer:

Step-by-step explanation:

First we need to find their rate of speed.

r = d / t

For ant,

Convert millimeters to inches.

1 inch = 25.4 mm

18 mm = 0.7 inch

r = 0.7 / 5

r = 0.14 inches per second

For beetle,

r = 8 / 3

r = 2.7 inches per second

From the rates, you can tell that the beetle crosses the Garden first.

To know how long it takes for the ant to cross is by dividing the length by the rate.

1 yard = 36 inches

13 yards = 468 inches

468 ÷ 0.14 = 668.5 ≈ 669 seconds

In terms of minutes:

11 minutes and 15 seconds

The ant would cross the garden in 11 minutes and 15 seconds (or 669 seconds <em>up to you</em>).

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Zolol [24]
8(2x-14)+13=4x-27
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16x-99=4x-27
12x=72
x=6. As a result, the value x is 6. Hope it help!
6 0
3 years ago
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I only need help on questions 6 and 7. (Use the congruent figure on top to answer 6 and 7.)
allsm [11]

Answer:

See below.

Step-by-step explanation:

All statements of congruent angles and congruent segments are correct.

A similarity statement can be written ...

Write a similarity statement ...

ABCD ~ HJKL

The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.

This is the correct reason:

"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."

"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>

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For the similarity ratio, we use two corresponding sides.

AB = 8; HJ = 12

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5 0
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What model describes the relationship between miles driven and the total cost of a rental car when you pay $50.00 per day and $0
Alex_Xolod [135]
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7 0
3 years ago
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triangle QRS is an equilateral triangle if QR is 7 less than twice X RS is 61 less than 5 times x and QS is 11 more than x find
Katarina [22]

Answer:

QR=RS=QS=29    

Step-by-step explanation:

Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

Also, from the given statement, we have

QR=2x-7, RS=5x-61 and QS=11+X

Now, As all the sides of the triangle are equal, therefore

QR=RS=QS

⇒QR=RS

⇒2x-7=5x-61

⇒-7+61=5x-2x

⇒54=3x

⇒x=18

Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.

4 0
3 years ago
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What is the value of In e^4<br> a.0<br> b.1<br> c.2<br> d.4
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\large\begin{array}{l} \textsf{Computing the value of }\mathsf{\ell n (e^4).}\\\\\\ \textsf{Using logarithg properties:}\\\\ \textsf{(logarith of a power)}\\\\ \mathsf{\ell n(e^4)}\\\\ =\mathsf{4\cdot \ell n\,e}\qquad\quad\textsf{(but }\mathsf{\ell n\,e=1}\textsf{)}\\\\ =\mathsf{4\cdot 1}\\\\ =\mathsf{4}\qquad\checkmark\\\\\\\ \textsf{Correct answer: d. 4.} \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2113397


\large\textsf{I hope it helps.}
</span>

Tags: <em>logarithm value compute power property natural log ln</em>

7 0
3 years ago
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