1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
beks73 [17]
3 years ago
6

Which equation can be used to solve for b? B 5 cm 10 cm 30°

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

The Question is Incomplete The complete question with figure is below.

Answer:

Therefore the equation to solve for b is

\tan 30 = \dfrac{5}{b}

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

BC = 5 cm

AB = 10 cm

∠A = 30°

To Find:

b = ?

Solution:

In Right Angle Triangle ABC Tangent identity we have

\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

Substituting the values we get

\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}

Therefore the equation to solve for b is

\tan 30 = \dfrac{5}{b}

You might be interested in
A recipe uses 1 cup of sugar to make 6 cookies. If you want to make 30 cookies, how much sugar will you need? Use cups as your l
sergij07 [2.7K]

Answer:

the answer is 5 cups

Step-by-step explanation:

let x rep a cup of sugar

and y rep a cookie

and k be constant

x/kx=6y/30y

k=5

8 0
2 years ago
A) double a number, then add 3
Alinara [238K]

Answer:

a) 2x+3

b) 5x-7

c) 2x-10

d) 3x/2

Step-by-step explanation:

the number considered is x

8 0
3 years ago
Rectangle RSTU and the image R’S’T’U’ are graphed on the coordinate grid below.
Ksju [112]

The rectangle  R’S’T’U’ is a 90° counterclockwise rotation of RSTU so options (A) and (C) will be correct.

<h3>What is a rectangle?</h3>

The rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given the rectangle RSTU if we plot it then it becomes a major horizontal rectangle.

If we transpose into R’S’T’U’ then it rotates 90 degrees counterclockwise and becomes a major vertical ractangle.

Hence the rectangle RSTU will rotate 90° counterclockwise to form  R’S’T’U’.

For more about rectangles,

brainly.com/question/15019502

#SPJ1

5 0
2 years ago
The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease
Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

l\times w = 1440 \ \ \ \ equation\ 1

Also we know that Perimeter of rectangular field is given by 2 times sum of  Length and width.

framing in equation form we get;

2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2

Now Substituting equation 2 in equation 1 we get;

l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0

Now we will find the root by factorizing the same we get;

w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\

Now solving for each to find the value of 'w' we get;

w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = \frac{4}{40}\times 100 = 10\%

Hence If Length is decreased by 10% then it would become a square.

6 0
3 years ago
Identify the vertical asymptotes of f(x)=10/x^2-1
Brums [2.3K]

Answer:

-1 and 1

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The vertices of ΔABC are (-2,0), (-2, 3), and (-5, 1). T(x,y) = (x + 1, 3y) represents the transformation of the triangle. What
    6·2 answers
  • What are the greatest common factors of 18 and 30 and what do they represent
    6·1 answer
  • Use the function below to find f(4).
    14·1 answer
  • The US postal service delivered 7.14 x 1010 pieces of mail in the month of December and 3.21 x 1010 in the month of January. Wha
    15·2 answers
  • Two brothers leave from the same point driving in opposite​ directions, the first brother driving at 55 miles per hour and the s
    10·1 answer
  • Select the correct answer.
    9·2 answers
  • -5y ⪰ 15 solve plz???
    14·1 answer
  • Hiiii a little help here plz !!!!
    12·1 answer
  • Can you guess what number comes next​
    8·1 answer
  • A rectangular prism is made up of cubes. The prism is 8
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!