<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%2B9%7D%7B5%7D%20%3Dr%2Cfor%20%28p%29" id="TexFormula1" title="\frac{p+9}{5} =r,for

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algol13

2 years ago

(p)" alt="\frac{p+9}{5} =r,for (p)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

marusya05 [52]2 years ago

4 0

Answer:

P = 5r + 9

Step-by-step explanation:

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Trigonometry: <br>1) Work out the bearing from B to C. <br>2) Calculate the bearing of D from B

kakasveta [241]

Answer:

see below

Step-by-step explanation:

a bearing is the angle in degrees measured clockwise from north.

Triangle ABC is a right triangle

Tan C = opp side / hyp

tan C = AB / CA

tan C = 30/30

tan C = 1

taking the inverse tan

tan ^ -1 tan C = tan ^ -1 ( 1)

C = 45 degrees

This is 90+45 degrees from North

135 degrees from north

Tan B = opp side / hyp

tan B = AD/BA

tan B = 45/30

tan B = 3/2

taking the inverse tan

tan ^ -1 tan B = tan ^ -1 ( 3/2)

D = 56.30993247

Add 180 degrees

180+56.30993247

236.3099325 from north

7 0

3 years ago

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

Paul [167]

So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
$\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\ \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow \\
\textit{expand using binomial theorem, or FOIL}$

you'd end up with a quadratic, after simplifying, solve for "w"

7 0

3 years ago

In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.

Mrac [35]

Answer:

x = 9

Step-by-step explanation:

AB = 4x + 6 and BC = 7x + 15 AC is the sum of AB and BC

so 4x + 6 + 7x + 15 = 120 add like terms

11x + 21 = 120 subtract 21 from both sides

11x = 99 divide both sides by 11

x = 9

7 0

3 years ago

what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas

Katarina [22]

The mode of the given data is equal to bowls of spaghetti.

<u>Given the following data:</u>

Bowls of spaghetti = 57.

Bowls of cereal = 37.

Quantity of sandwiches = 14.

Personal pizzas = 17.

In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.

Read more on mode here: brainly.com/question/542771

4 0

1 year ago

Anaya swims 10 miles at eachof her practice sessions. how long is a practice session if she swims at an average speed. 2 miles p

Trava [24]

Answer:

If 2 mph) 5 hours

If 2.5 mph) 4 hours

If m mph) 10/m hours

If m+2 mph) 10/(m+2) hours

If m/3 mph) 30/m hours

Step-by-step explanation:

To find the time divide the distance (10) by the speed.

10/2=5

10/2.5=4

10/m

10/(m+2)

10/(m/3)=10(3/m)=30/m

4 0

2 years ago

Read 2 more answers