Question #7

Jerry is creating a comer shelf for his house. Examine his sketch below.

8.5 in.

8.5 in.

Enter the area of the corner shelf, in square inches. Round your answer to the

nearest tenth.

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

[tex] \Large{\boxed{\sf V = 192\pi \: m^3}} [/tex]

[tex] \\ [/tex]

The volume of a right cylinder can be calculated using the following formula:

[tex] \Large{\sf V = \pi \times r^2 \times h }[/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf r &=\sf 4 \: m \\ \sf h &=\sf 12 \: m \\ \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf V = \pi \times (4m)^2 \times 12m = \pi \times 16m^2 \times 12m \\ \\ \\ \implies \boxed{\boxed{\sf V = 192\pi \: m^3 }} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the volume of a cylinder here:

↣https://brainly.com/question/6204273

Answer:

20 square units

Step-by-step explanation:

this polygon is a trapezoid

the formula to find the area is 1/2(b1+b2)h

If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units

when you plug that into the calculator you get

1/2(6+4)4 = 20 square units

Answer:

10

Step-by-step explanation:

You just plug x into the expression and then you simplify:

30-2^2*x+12÷3

We know that x=6

30-(2^2)(6)+12/3

30-(4)(6)+4

30-24+4

10

Answer:

44x/7

Step-by-step explanation:

Radius=r=xcm

Circumference=2πr

➜2πx

➜2×22/7×x

➜44/7×x

➜44x/7

Options :

Which conclusion is most appropriate in the context of this situation?

The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Answer:

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Step-by-step explanation:

Given the hypothesis :

H0:p1−p2=0(p1=p2)

Ha:p1−p2<0

The test statistic = - 4.27

Pvalue = 0.00001

For making statistical decisions ;

Pvalue and α are very useful,

Decison boundary :

When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.

However, based on the outcome of the statistical analysis,

The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Answer:

$637.10

Step-by-step explanation:

Given:

P = 600

r = 6% or 0.06

t = 1

Work:

[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]

Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .

Answer:

7300000 in scientific notation can be written as 7.3 x 10^6

Answer:

50%

Step-by-step explanation:

To find our answer will will first put it into an equation as  [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex].  Because we are cross multiplying we will multiply 100 by 12 and we get 1,200.  Now because we are solving for x we will divide 1,200 by 24, which is 50%.  Therefore, 50% is our answer.

Answer:

(f - g)(x)  = -x³ -5x² + 4x + 14

Step-by-step explanation:

        f(x) = 2x³ - 3x² + 5

       g(x) = 3x³ + 2x² - 4x - 9       subtract

(f - g)(x)  = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)

(f - g)(x)  = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)

(f - g)(x)  = (-1)x³ + (-5)x² + (4)x + (14)

(f - g)(x)  = -x³ -5x² + 4x + 14

Answer:

1. x-8

2. I dont know sorry

Step-by-step explanation:

Answer:

1. 8 - x

The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.

2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.

Step-by-step explanation:

:-) hope this helps!

Answer:

-3

Step-by-step explanation:

i sarched it up

Answer:

x= -14

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

36/x = x/64

x² = 36 x 64 = 2304

x = √2304 = 48

Answer:

4.07%

Step-by-step explanation:

To obtain the effective rate :

We use :

(1 + r/m)^m - 1

r = rate = 4% = 0.04

m = number of compounding times per year = 12

Effeective rate :

(1 + 0.04/12)^12 - 1

1.0407415 - 1

Effective rate = 0.0407415

0.0407415 * 100%

= 4.07%

Answer:

c, -6

I hope this helps you

Answer:

H0 : u1 = u2 ;  H1 : u1 ≠ u2 , or specifically u1 > u2  

Step-by-step explanation:

Null Hypothesis is the neutral hypothesis , stating no difference from assumed value,  (or in this case no difference between both batteries' mean life)

Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)

Let mean life of battery 1 & battery be b = u1 & u2 , respectively.

Null Hypothesis  [ H0 ] : u1 = u2

Alternate Hypothesis  [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }

Answer:

Step-by-step explanation:

S = 12mm

r  = 8mm

What is the measure, in radians, of the circle or central angle?

The measure of a circle in radians is 2 radians.  I think you want the central angle thata.

theta = S/r  radians

theta = 12/8  radians

theta = 1.5 radians  for the central angle

The measure in radians of the circle is 1.5π   radians

The angle between two radii of a circle is known as the central angle of the circle.

given: S = 12 mm

r  = 8 mm

circumference of a circle=2π radians

Since, 16π=2π radians.

1π= 2π /16

for,

12π =2π /16 *12

       = 3/2*π

       = 1.5π

[tex]\theta[/tex] = 1.5π   radians

Learn more about this central angle here:

https://brainly.com/question/1335226

#SPJ2

Answer:

Step 1: Draw the arm PQ.

Step 2: Place the point of the compass at P and draw an arc that passes through Q.

Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.

Step-by-step explanation:

Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.

Answer:

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Step-by-step explanation:

using the given data in the question

a) The Markov transition matrix

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Note : Column 1 = A,  column 2 = B,  Column 3 = C

Row 1 = A,   Row 2 = B and ROW 3 = C

b) Question is incomplete

Answer:

si

Step-by-step explanation:

Answer:

C. >

Step-by-step explanation: