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3 years ago

The area, A, of a triangle is 15.3 square centimeters. Its base, b, is

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

Questions 13-15 will all be related to the same situation.

A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.

Which equation accurately represents this situation?

Step-by-step explanation:

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Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set

KATRIN_1 [288]

$\begin{gathered} x+y+z=4 \\ x-y-z=0 \\ x-y+z=8 \\ \text{The system using matrix is} \\ \begin{bmatrix}{1} & {1} & {1}, & {4} \\ {1} & {-1} & {-1,} & {0} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix}\rightarrow F2=F2-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix} \\ \rightarrow F3=F3-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F2=-\frac{1}{2}F2 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F3=F3+2F2=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {2,} & {8}{}{}\end{bmatrix}\rightarrow F3=\frac{1}{2}F3 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F2=F2-F3=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \rightarrow F1=F1-F3=\begin{bmatrix}{1} & {1} & {0}, & {0} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F1=F1-F2 \\ =\begin{bmatrix}{1} & {0} & {0}, & {2} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \text{Therefore, the solution is }x=2,\text{ y=-2 and z=4} \end{gathered}$

6 0

1 year ago

Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU

IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

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

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

$\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}$

Similarly, the breadth will be,

$\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5$

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

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5 0

1 year ago

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?Expl

MariettaO [177]

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

6 0

2 years ago

Suppose f(x)=2×+5 find the value of -2f(x+1)

loris [4]

F(x) = 2x + 5

-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5

-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10

----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------

3 0

3 years ago

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsour

frozen [14]

Answer:

<h2>0.1</h2><h2>Step-by-step explanation:</h2>

please see attached the annotated solution

Given data

p=20%= 0.2

n=15 companies

let x = 5 the number of companies that outsource to overseas consultants

The binomial probability distribution is given as

P(x=λ)=nCx*P^x*q^n-x

we also know that q=1-p

3 0

3 years ago