All categories

3 years ago

Find the area of this triangle

Mathematics

1 answer:

creativ13 [48]3 years ago

5 0

Answer:

The area should be 170

Step-by-step explanation:

L× W =70×10=170

You might be interested in

What type of angles are these?

Stels [109]

Those angles are less than 90° so they would be acute angles

3 0

4 years ago

Read 2 more answers

17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0

3 years ago

Find the 8th term of the geometric sequence shown below. 6x,18x^4,54x^7<br> please help

mafiozo [28]

The 8th term of the geometric sequence is 13122x^22

<h3>Explicit form of a geometric sequence</h3>

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

Learn more on geometric sequence here: brainly.com/question/24643676

#SPJ1

7 0

2 years ago

On November 7, 2013, Twitter began to sell shares of its company and Naomi purchased 20 shares for $26 each. It went up $3.15 ev

antiseptic1488 [7]

20*(26+3.15*4) = ?

20*(26+12.6) = ?

20*(38.6) = 772

She had $772 in her Twitter portfolio after 4 hours

3 0

3 years ago

Evaluate the expression 1/2x - 2/3y when x = 4 and y = -3

ollegr [7]

Answer:

-1

Step-by-step explanation:

Equation: 1/2x-2/3y

Swap out the x and y with the numbers.

1/2 x 4/1 -2/3 x -3

Solve.

2-3

-1

3 0

3 years ago

Read 2 more answers

Find the area of this triangle​

Find the area of this triangle