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balu736 [363]
3 years ago
12

Can someone please answer 5, 6 and 7? Thank you.

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0
Reduce a 24 cm by 36 cm photo to 3/4 original size.

The most logical way to do this is to keep the width-to-height ratio the same:  It is 24/36, or 2/3.  The original photo has an area of (24 cm)(36 cm) = 864 cm^2.

Let's reduce that to 3/4 size:  Mult. 864 cm^2 by (3/4).  Result:  648 cm^2.

We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.

From the first equation we get W = 2L/3.  Thus, WL = 648 cm^2 = (2L/3)(L).

Solve this last equation for L^2, and then for L:

2L^2/3 = 648, or (2/3)L^2 = 648.  Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.

Taking the sqrt of both sides, L = + 31.18 cm.  Then W must be 2/3 of that, or W = 20.78 cm.

Check:  is LW = (3/4) of the original 864 cm^2?  YES.


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Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8
ad-work [718]

Answer:

<u>Recursive:</u>

a_n=a_{(n-1)}+18\\ \\ a_1=82

<u>Explicit:</u>

a_n=64+18n

Explanation:

<u>1. Sequence:</u>

a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...

<u>2. Recursive formula</u>

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

a_n=a_{(n-1)}+18\\ \\ a_1=82

<u>3. Explicit formula</u>

The explicit formula permits to calculate any value of a term in the sequence:

a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n

7 0
2 years ago
72 is equal to 80% of a number n. Write and solve and equation to find n. Write the percent as a decimal.
valentina_108 [34]
Well I'm not sure what the answer would be since I'm not that smart but I did get the answer of 90, I did this by dividing 72 by 80 which equals .9 and I multiplied that by 100 and got 90.
4 0
3 years ago
Read 2 more answers
Solve for X:-1 Plz help
elena55 [62]

Answer:

Lo siento, solo necesitaba los puntos

Step-by-step explanation:

Lo siento, solo necesitaba los puntos

Lo siento, solo necesitaba los puntos

Lo siento, solo necesitaba los puntosvv

Lo siento, solo necesitaba los puntos

Lo siento, solo necesitaba los puntosvvv

4 0
3 years ago
Read 2 more answers
A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical
valina [46]

Answer:

155.3 m

Step-by-step explanation:

<u>We have:</u>

θ: is the angle measured from the vertical = 75 °

v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

cos (\theta) = \frac{x}{d}  

<u>Where:</u>

d: is the distance traveled by the submarine in 1 minute

x: is the deep to find

The distance, d, is:

d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m

Now, the deep is:

cos (75) = \frac{x}{600}  

x = cos(75)*600 = 155.3 m

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0
3 years ago
Here are the boiling points elements in degrees Celsius
ladessa [460]

Answer:

Chlorine, Krypton, Argon, Fluorine, Hydrogen

Step-by-step explanation:

Look at the numbers and sort them from least to greatest. It could be the opposite answer to since the larger the negative number the smaller the value.

8 0
2 years ago
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