A wooden cabinet is in the shape of a rectangular prism. Its base area and height are 10/12m2 and 2/3m, respectively. What volume does the cabinet occupy? A. 5/9m3 B. 1 4/5m3 C. 4/5m3 D. 1/3m3

9514 1404 393

Answer:

  y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

  y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

  y -4 = -1/3(x -9)

Answer:

7.25cm

Step-by-step explanation:

Let the complete question be;

Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.

Area of a trapezoid = 1/2(a+b)*h

a and b are the parallel sides (bases)

h is the height

Given

a = 3.5cm

b = 8.5cm

A = 43.5 sq.cm

Required

Height h

Substitute the given values into the expression

Area of a trapezoid = 1/2(a+b)*h

43.5 = 1/2(3.5+8.5)*h

43.5 = 1/2 * 12h

43.5 = 6h

h = 43.5/6

h = 7.25cm

Hence the height is 7.25cm

Answer:

95

Step-by-step explanation:

A triangle must always equal 180, so if you take the values of 15 and 70, you get 85.

Then, you take 180 and subtract 85.

This leaves you with 95

Hope this helps

Answer:

x=105 _ 72

33 degrees....

3+6+3

3+6=9+3=12

12 students received less than 6 gifts.

Hope this helps

Answer: A C E RECTANGLE QUADRILATERAL PARELLELOGRAM

Step-by-step explanation:

Answer:

radius is 8cm

Step-by-step explanation: radius is half of diameter so 16/2= 8

Question

If the diameter of a circle is 16 cm, find it’s radius

soln'

diameter of circle=16cm

radius=?

now

radius formula=2 pie r where pie = 22/7

2*22/7*16

=96

Answer: [tex]4:39, 5:03[/tex]

Step-by-step explanation:

Given

The yellow line leaves the station every 6 min

The red line leaves the station every 8 min

They both leave at [tex]4:15[/tex]

Both trains meet again after, LCM(6,8)=24 min

i.e. at

[tex]4:15+24=4:39\\4:39+24=5:03[/tex]

Answer:3

Step-by-step explanation:

The 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratio of hats to fedoras = 20:4

Let's suppose Zoe's inventory, should expect to x fedoras

20/4   =  30/x

x = 30/5

x = 6

Thus, the 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.

Learn more about the ratio here:

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Answer:

3x=15

Step-by-step explanation:

3(5)=15 it's the only one where x can be 5

Answer:

1/3

Step-by-step explanation:

2/3-3/9

multiply 2/3 by 3/3 to get the common denominator 9

2/3*3/3-3/9

6/9-3/9

3/9

simplify

1/3

Answer: -11/15

Step-by-step explanation: To subtract fractions, find the LCD and then combine them.

Answer:

mmmm

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

69 420

Answer:

$40

Step-by-step explanation:

5(*4)/12(*4)=20/48

If 20/48 of them had 2.00 tips then multiply 20*2= $40

Answer:

35

Step-by-step explanation:

3 + 2 = 5

7 times 5 = 35

Answer:

Find the area of the circle then divide by two

Step-by-step explanation:

Respuesta:

Volumen = 0.0010126 m³

Ancho = 7,84 N

Explicación paso a paso:

Dado que:

Masa, m de alcohol = 0,8 kg

Densidad del alcohol, d = 790 kg / m³

Recordar :

Densidad, d = masa, m / volumen, v

Volumen = masa / densidad

Volumen = 0,8 kg / 790 kg / m³

Volumen = 0.0010126 m³

Peso, W = densidad * aceleración debido a la gravedad * volumen

Ancho = 790 * 9,8 * 0,0010126

W = 7.8395

Ancho = 7,84 N

Answer:

42gtt/m

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Flow rate in gtt/min = (Total fluid in ml × Drop factor) ÷ (Total hours × 60)

Where, Total fluid in ml = 2,000ml

Drop factor = 15gtt/m

Total hours = 12hours

By putting the following value in the formula, we get

Flow rate in gtt/min = (2,000 × 15) ÷ (12 × 60)

= 30,000 ÷ 720

= 41.67 or 42gtt/m

Answer:

x + 90 + 63 = 180

Step-by-step explanation:

∠A + ∠B + 45 + 63 = 180     {Straight line angles}

From the figure we know that , ∠B + 45 = 90

Therefore, ∠A + 90 + 63 = 180

Answer:

Option B is correct.

Step-by-step explanation:

∠A = 27

27 + 90 + 63 = 180

you can see that square right. the square is 90.

Have a nice day!

Answer:

J. 50x < 330 + 30x

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The geometric mean of two numbers is the suqre root of their product

=sqrt(1/4*4)

=sqrt(1)

=1

Answer:

133/10

Step-by-step explanation:

divide 160 and 12 then simplify your answer

The scale factor of the model is 0.075.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

We are given that Scale model of a building is 12 inches tall. The actual building is 160 feet tall.

First, we need to multiply 160 by 12 so that we have inches and inches

160 inches

Then divide 160 by 12 and that will give, 12 which is the scale factor

The scale factor is:

12/160=3/40

=0.075

Learn more about scale factor here:

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the shape ?

Answer:

[tex]x + 54\ge 70[/tex]

[tex]x \ge 16[/tex]

Step-by-step explanation:

Given

[tex]Total = 70[/tex] (at least)

[tex]Accumulated = 54[/tex]

Required

Express as an inequality

In inequalities, at least means [tex]\ge[/tex]

So, the expression is:

[tex]x + Accumulated \ge Total[/tex]

Where x represents the additional points

[tex]x + 54\ge 70[/tex]

Solve for x

[tex]x \ge 70 - 54[/tex]

[tex]x \ge 16[/tex]

Hence, she needs at least 16 points

Answer:

12 days

Step-by-step explanation:

1/6 per day

in 6 days- 1 pound

6x2=12 days=2 pounds

hope this helped :)

Answer:

The student can eat the cereal for 12 days

Step-by-step explanation:

2 divided by 1/6 is 12

Answer:

5:15 simplified is 1:3

Hope this helps!

Answer:

5:15 simplified (or divided by 5) is 1:3

Step-by-step explanation: