Find the surface area of the triangular prism?

Answer:

b= -11/12

Step-by-step explanation:

- 10 + 4(3b+10) = 19

-10 + 12b+40 = 19

40-10+12b=19

30+12b=19

-30          -30

12b= -11

/12     /12

b=  -11/12

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

Answer:

377.7

Step-by-step explanation:

because you multiply 62.95 times 6

hopes this helps

Answer:

$62.95*6= $377.7

because it say how much did she earn in six weeks. So your going to multiply $62.95 and 6  and you should get $377.7.

Brainliest please have a good day, yo girl trin

Answer:

1 1/30 gallon

Step-by-step explanation:

Can A = 1/3 gallon

Can B = 1/5 gallon

Can C = 1/2 gallon

Total paint Neil has = Can A + Can B + Can C

= 1/3 + 1/5 + 1/2

The lowest common multiple of 3, 5 and 2 is 30

= (10+6+15) / 30

= 31/30

= 1 1/30 gallon of paint

Neil has a total of 1 1/30 gallon of paint

Answer:

Step-by-step explanation:

The polygon is the combination of two rectangles.

Sides of the greater rectangle:

Sides of the smaller rectangle:

Area of the polygon:

Answer:

292.75mL

Step-by-step explanation:

From the ideal gas equation

PV= nRT

With each symbols having standard meaning

For pressure remaining constant the equation for two states can be written as

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K

Now plugging values in above equation to find V_2

[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]

Therefore, the volume at 10 degrees Celsius = 292.75mL

Answer:

114

Step-by-step explanation:

Answer:

1 / 10

Step-by-step explanation:

From the question :

Fraction of scratch and sniff sticker from total stickers = 2/5

1/4 of scratch and sniff stickers smell like banana :

Fraction of total stickers that smell like banana :

(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)

= (2/5) * (1/4)

= 2 /20

= 1/10

Answer:

A. SSS

Step-by-step explanation:

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

[tex]Game\ 1 = 95[/tex]

[tex]Game\ 2 = 91[/tex]

[tex]Game\ 3 = 77[/tex]

[tex]Game\ 4 =89[/tex]

[tex]Mean = 90[/tex] at least

Required

The score in game 5 to make you advance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]

[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]

The mean must be at least 90.

So, we have:

[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]

Multiply both sides by 5

[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]

[tex]352 + Game\ 5 \ge 450[/tex]

Make Game 5 the subject

[tex]Game\ 5 \ge450 - 352[/tex]

[tex]Game\ 5 \ge 98[/tex]

At least 98 is needed in the 5th game

Answer:

=54

Step-by-step explanation:

give me the brainiest

Answer:

ACD would equal 117 degrees.  ACB would equal 63 degrees.

Answer:

A: (10k+m)(10k−m)

Step-by-step explanation:

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

Answer:

A

Step-by-step explanation:

The inverse is just the opposite it is a flip

Answer:

x = -5  y = -5

Step-by-step explanation:

–x + 4y = -15

     - 4y  -4y

-1(-x = -4y - 15)

x = 4y + 15

Substitute x = 4y + 15 into 3x + 5y = -40

3(4y + 15) = -40

17y + 45 = -40

      - 45   -45

17y = -85

/ 17    /17

y= -5

Substitute y = - 5 into x = 4y + 15:

x = 4(-5) + 15

x = -20 + 15

x = -5

Answer:

Part I

(-5,-5)

Part II

(3.75, 312.50)

Step-by-step explanation:

Part I

(1) 3x + 5y = -40

(2) -x + 4y = -15

solve for x in (2)

x = 15 + 4y

substitute into (1)

3(15+4y) + 5y = -40

45 +12y + 5y = -40

45 +17y = -40

17y = -85

y = -5

substitute y = -5 into (1)

3x + 5(-5) = -40

3x -25 = -40

3x = -15

x = -5

so  (-5, -5)

Part II

Studio A  

C = 125 + 50t

Studio B

C = 200 + 30t

125 + 50t = 200 + 30t

20t = 75

t = 3.75

(3.75, 312.50)

Answer:

(2,8), (3,5),

Step-by-step explanation:

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

Answer:

Slope: -1/3  y-intercept: (0,3)  x-intercept: (9,0)

Step-by-step explanation:

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

Answer:

14 and 16

Step-by-step explanation:

They are the ONLY  consecutive even numbers

And also

x and (x+2)

x(x+2)=224 ( product of a number and the consecutive of that number)

x ²+  2x-224=0

(x+16)(x-14) =0

x=-16 or 14

In this case 14 and (14+2)    14 and 16

The  integers are either 14 and 16 or -14 and -16.

Answer:

yes

Step-by-step explanation:

because its arranged in well functional statement

Answer:

the independent variable is p and the dependent variable is b

Step-by-step explanation: