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dusya [7]
3 years ago
12

Plz help with these 2 as well thx

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

the answer is:

16^2 = 7^2 + x^2

256 = 49 + x2

x^2 = 256 - 49

x^2 = 207

x = ✅207

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A garden has width of <img src="https://tex.z-dn.net/?f=%5Csqrt13" id="TexFormula1" title="\sqrt13" alt="\sqrt13" align="absmidd
inessss [21]

Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=16√13

4 0
3 years ago
Consider a city whose streets are laid out as a grid. Streets run north-south or east-west. A visitor is dropped off by a cab at
Ann [662]

Answer:

84 possible paths

Step-by-step explanation:

Given

N =3 --- 3 blocks north

E = 6 --- 6 blocks east

Required

Number of distinct path

To solve this question, we make use of the following formula

^{m+n}C_n \ =\ ^{m+n}C_m

The above formula implies that;

On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.

In this case:

m = 3

n = 6

So, we have:

^{m + n}C_n = ^{3+6}C_6

^{m + n}C_n = ^9C_6

Apply combination formula

^{m + n}C_n = \frac{9!}{(9-6)!6!}

^{m + n}C_n = \frac{9!}{3!*6!}

Expand the numerator

^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}

^{m + n}C_n = \frac{9*8*7}{3!}

Expand the denominator

^{m + n}C_n = \frac{9*8*7}{3*2*1}

^{m + n}C_n = \frac{504}{6}

^{m + n}C_n = 84

<em>Hence, there are 84 possible paths</em>

<em></em>^{m + n}C_m<em> will also give the same result</em>

3 0
3 years ago
three men and four women stand in line at a checkout counter at a store. in how many ways can they stand in the line if we consi
nikitadnepr [17]
Woman
man
woman
man
woman
man
.........................
woman
woman
woman
woman
man
man
man
..........................
woman
woman
man
man
woman
man
woman
...................
plus a lot more.
7 0
3 years ago
A scientist had 1.25 ounces of a chemical. He bought 2.5 ounces more of the chemical and then used 0.75 ounce in an experiment.
liubo4ka [24]

Answer:

<h2>3 ounces</h2>

Step-by-step explanation:

Step one:

given data

the initial amount of chemical = 1.25 ounces

Extra amount of chemical =2.5 ounces

Total amount of chemical =1.25+2.5=3.75 ounces

Step two:

we are told that the scientist used 0.75 ounces of chemical

Hence the remaining chemical is

remaining= 3.75-0.75

remaining= 3 ounces

<u>The remainder is 3 ounces</u>

4 0
3 years ago
What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
abruzzese [7]

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

7 0
3 years ago
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