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2 years ago

Help please if your good with volumes of prisms and stuff lol

Mathematics

1 answer:

IgorC [24]2 years ago

8 0

Answer:

222cm3

Step-by-step explanation:

9cm × 3cm × 6cm = 162cm

8cm - 3cm = 5cm

5cm × 2cm × 6cm = 60cm3

162cm3 + 60cm3 = 222cm3

Volume = 222cm3

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Consider the following linear equation.y = -1-Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair)

Dmitriy789 [7]

Recall that a slope-intercept form of a linear equation is

$\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}$

Rearrange the given so that it follows that slope intercept form

$\begin{gathered} y=-1-\frac{2}{5}x\Longrightarrow y=-\frac{2}{5}x-1 \\ \\ \text{Now that it is in the slope intercept form} \\ y=-\frac{2}{5}x-1 \\ \text{we can determine that the slope is } \\ m=-\frac{2}{5} \\ \text{and the y-intercept is} \\ b=-1 \end{gathered}$

The y-intercept is the value for which the linear function crosses the y-axis, this is when the value of x is equal to zero. The ordered pair therefore of the y-intercept is (0,-1).

8 0

1 year ago

Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) (-4, 5) across the

levacccp [35]

Answer:

a) (4,5)

b) (0,-3)

Step-by-step explanation:

We have to perform the following reflection over given ordered pair.

a) Reflect the ordered pair (-4,5) across the y-axis

Reflection over y-axis:

$r: (x,y)\rightarrow (-x,y)$

Thus, (-4,5) will be reflected over y-axis as

$r: (-4,5)\rightarrow (-(-4),5) = (4.5)$

b) Reflect the ordered pair (0,3) across the y-axis

Reflection over x-axis:

$r: (x,y)\rightarrow (x,-y)$

Thus, (0,3) will be reflected over x-axis as

$r: (0,3)\rightarrow (0,-(3)) = (0,-3)$

6 0

3 years ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit

padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

$\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.$

3. We write the matrix form as Ax=d

$A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)$

$x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)$

$A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

With this formula the solution of x is $x=\frac{d}{A}$ or $x=A^{-1}d$

4. We will find the inverse matrix $A^{-1}$ using the formula:

$A^{-1} = \frac{1}{detA} (C_{A})^{T}$

a. det A

$det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3$

b. $(C_{A})^{T}$

$C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)$

$C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

c. $A^{-1}$

$A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

5. As $x=\frac{d}{A}$ or $x=A^{-1}d$ , the solution of x is:

$x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)$

$X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]$

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

4 0

2 years ago

The isosceles triangle has a base that measures 14 unitsThe value of y, the length of each leg, must be

saul85 [17]

The isosceles triangle length of each leg would have to be greater than 7

3 0

3 years ago

Read 2 more answers

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ). What is the cost per ounce?

Nastasia [14]

Solution:

we are given that

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).

we have been asked to find the cost per ounce?

As we know that

16 oz=1 lb

so we will divide by 16 to get the cost per ounce.

strawberries cost $6.40 per pound so for 1 oz it will cost $=\frac{6.40}{16}= 0.4$ $

Hence cost per ounce is 0.40 $

4 0

3 years ago