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
alukav5142 [94]
2 years ago
15

100 POINTS PLUS BRAINLY

Mathematics
2 answers:
Iteru [2.4K]2 years ago
4 0

Answer:

\sf adjacent  = 4.5 \ ft

Given:

  • opposite side: 13 ft
  • adjacent unknown
  • angle of 71°

using tan rule:

\sf tan(x) = \dfrac{opposite}{adjacent}

\hookrightarrow \sf tan(71) = \dfrac{13}{adjacent}

\hookrightarrow  \sf adjacent  = \dfrac{13}{tan(71) }

\hookrightarrow  \sf adjacent  = 4.5

daser333 [38]2 years ago
4 0

Let unknown side be x

\\ \rm\hookrightarrow tan\theta=\dfrac{P}{B}

\\ \rm\hookrightarrow tan71=\dfrac{13}{x}

\\ \rm\hookrightarrow 2.9=13/x

\\ \rm\hookrightarrow x=13/2.9

\\ \rm\hookrightarrow x=4.5

You might be interested in
John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. Af
Lena [83]

Answer:

Step-by-step explanation:

Understand

Let :

x = The amount of money invested in the money market account.  

y = The amount of money invested in municipal bonds.  

z = The amount of money invested in a mutual fund.  

The total investment is represented as:

x + y + z = $25,000

The interest earned can be represented as:

0.06x + 0.07y + 0.08z = $1,620

The amount invested in municipal bonds and mutual funds can be represented as:

y - z = $6,000

Process

The system of three equations can now be solved either by substitution, elimination, or with matrices.  Any process appropriately applied will supply a correct answer.  For this example, let's solve the problem by using matrices.

Solving with Matrices

The process of using matrices is essentially a shortcut for the process of elimination. Each row of the matrix represents an equation, and each column represents coefficients of one of the variables.  

Step 1:        Create a three-row by four-column matrix using coefficients and the constant of each equation.

The vertical lines in the matrix stands for the equal signs between both sides of each equation. The first column contains the coefficients of x; the second column contains the coefficients of y; the third column contains the coefficients of z; the last column contains the constants.  

We want to convert the original matrix to the following matrix.

because you can then read the matrix as x = a, y = b, and z = c.

Step 2:        We work with column 1 first. The number 1 is already in cell 11(Row 1- Col 1).  

Add -0.06 times Row 1 to Row 2 to form a new Row 2.

-0.06 [Row 1] + [Row 2] = [New Row 2]

Step 3:        We will now work with column 1. We want 1 in Cell 22, and we achieve this by multiplying Row 2 by 100.

100[Row 2] = [New Row 2]

Step 4:        Let's now manipulate the matrix so that there are zeros in Cell 12 and Cell 32. We do this by adding Row 2 to Row 1 and Row 3 to Row 2. That gives us a new Row 1 and a new Row 3.

- [Row 2] + [Row 1] = [New Row 1]

- [Row 2] + [Row 3] = [New Row 3]

Step 5:        Let's now manipulate the matrix so that there is a 1 in Cell 33. We do this by multiplying Row 3 by -1.

-1 [Row 3] = [New Row 3]

Step 6:        Let's now manipulate the matrix so that there are zeros in Cell 13 and Cell 23. We do this by adding Row 3 to Row 1 for a new Row 1 and adding -2 times Row 3 to Row 2 for a new Row 3.  

1[Row 3] + [Row 1] = [New Row 1]

-2[Row 3] + [Row 2] = [New Row 2]

Solution

You can now read the answers off the matrix:

x = $15,000 in the money market

y = $8,000 in municipal bonds

z = $2,000 in a mutual fund

6 0
3 years ago
If s(x) = x - 7 & t(x) = 4x^2 - x + 3, which expression is equivalent to (t × s) (x)
barxatty [35]

Answer:

4

x

3

−

29

x

2

+

10

x

−

21

Step-by-step explanation:


3 0
3 years ago
14. What is 12/3 as an improper fraction?
timama [110]
12/3 is already an improper fraction.

But, 12/3 is simplified into 4.
8 0
3 years ago
Þolve for x:<br>1 - 5.2<br>= -6<br>3<br>3(x - 2)+5 = 7(x - 3)<br>x + 4<br>2<br>6<br>5<br>3​
Studentka2010 [4]

Answer:

A family of four is going to the amusement park. Tickets normally cost $56.99 per person. The park is offering a deal where a package of four tickets costs $155. How much will the family save if they buy the package deal?

Step-by-step explanation:

4 0
3 years ago
What is the area of a triangle with a base of 2 5/8 mm and a height of 10 mm?
MrRissso [65]

Answer:

b looks like the more reziable awnser

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Y=190(1.07)^x<br> identify whether growth or decay and the percentage
    6·1 answer
  • Y=2cos3x<br> How do I graph this with labels in radians
    5·1 answer
  • Geometry
    7·1 answer
  • A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repre
    8·1 answer
  • What is 3/10+1/10 in simplest
    14·2 answers
  • I need to know how to solve this for ixl homework
    8·1 answer
  • Evaluate the expression for c = -8 and d = 2. cd + d =
    7·2 answers
  • Anthony and Miguel go to the store to purchase some new DVD's. There is an advertisement displayed in the window that states the
    14·1 answer
  • Find the tenth term in the pattern
    10·1 answer
  • On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!