The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism

Answer:

5

Step-by-step explanation:

Lets recall what the pythagroens theorm is:

A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).

Lets plug in our values for each, and solve for the missing one:

12^3+b^2=13^2

Square each value(except for unknown):

144+b^2=169

Now get b alone(subtract 144 from both sides):

b^2=25

Now root both sides(removes the ^2):

b=5

This is your answer!

Hope this helps! :)

Answer:

10,2,5

Step-by-step explanation:

Answer:900 square units

Step-by-step explanation:

The radius is 90 units. Then the area of the shaded sector will be 900π square units.

Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be

A = (θ/360°) πr²

The circumference of circle T is 180π units. Then the radius of the circle is given as,

C = 180π

2πr = 180π

r = 90 units

Then the area of the sector is given as,

A = (40°/360°) π x 90²

A = 900π square units

The area of the shaded sector will be 900π square units.

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Answer:

w=32

Step-by-step explanation:

33+115+w=180

148+w=180

w=180-148

w=32

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

Answer:

(7,4)

Step-by-step explanation:

Answer:

3 for 15

cheaper

all you have to do is divide the number of sandwiches by the money.

(i answered again because its a waste of points)

Answer:

It's C ez claps

Step-by-step explanation:

Answer:

1 < x

Step-by-step explanation:

We have to used same order of operations just as we would in an equation;

15 > -x + 16

=> First subtract 16 from each side

-1 > -x

=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)

Therefore the answer is: 1 < x

Hope this helps!

Answer:

15>-x+16

-1>-x

1<x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

Answer:

(0,5)

The place where the line crosses the y-intercept.

Answer:

The variable c=9 is the answer the varibles

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = −15.8571428571

Step-by-step explanation:

-42 = 5(2c + 9) - 3(c + 8)

-42 = 10c + 45 - 3c + 24

-42 = 10c - 3c + 45 + 24

-42 = 7c + 69

-7c -7c

-------------------

-7c - 42 = 69

+42. +42

___________

-7c/-7 = 111/-7

c = −15.8571428571

Answer:

4(2g+4)

Step-by-step explanation:

8g+16

Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.

8/4=2

16/4=4

One side is 2g+4. So multiply that equation by 4.

4(2g+4)

DOUBLE CHECK

4(2g+4)

8g+16

---

hope it helps

Answer:

4(2g+4)                                                                :):):):):):):):):):):):)

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

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Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

Answer:

6/10 or 0.6

Step-by-step explanation:

Answer:

4ew

Step-by-step explanation:

Answer:

d) -90º

Step-by-step explanation:

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t

Answer:

x=7

Step-by-step explanation:

8(1X/4 +12 - 1 x 1/2X)=82

8(X/4 +12-1 x 1/2 x X)=82

8(X/4+ 12 - 1/2x)=82

8 X x/4 + 96+8 X -x/2=82

2x +96 +8 X -x/2=82

2x +96+ 8(-1)/2=82

2x +96 -8x/2 =82

2x+96-4x=82

-2x+96=82

-2x=-14

x=7

plz like and rate thank you

Answer:

C) d=400t

Step-by-step explanation:

400mph means 400 miles per hour. (So every hour 400miles is covered due to the fact that its constant)

Therefore, to have the total distance, we take the 400 and multiply it by the amount of Time spent. (T in this inatance)

Answer: 27

Step-by-step explanation:

Answer:

C. 27

Step-by-step explanation:

Answer:

3x+3y+3z

Step-by-step explanation:

Answer:

height of the wall ] is 48.25ft

Step-by-step explanation:

Given data

Length of ladder= 50ft

Angle= 75°

We want to find the Height of the wall

Applying the SOH CAH TOA

sin ∅= opposite/hypotenus

sin 75= opposite/ 50

0.965= opposite/ 50

opposite=0.965*50

opposite=  48.25ft

Hence the height of the wall ] is 48.25ft

Answer:

C

Step-by-step explanation:

hope this help Im pretty sure it's right

The graph for the inequality given is graph 1.

An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.

Given that an inequality, 2-(x+3) < 4 -2x, we need to determine its graph,

For the same solving the inequality,

2-(x+3) < 4 -2x

2-x-3 < 4 - 2x

Add x to both sides,

2-3 < 4-x

-1 < 4-x

Subtract 4

-1-4 > -x

x > 5

Since, the x is greater than 5 so the graph will be the numbers that greater than 5,

Hence, the graph is 1.

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Answer:

perimeter=sum of all sides

p=2(L+W)

36=2(L+12)

36-24=2L

12=2L

L=6

A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet

A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(length + width)

Given

Perimeter = 30 feet

width = 12 ft

Substitute

30 = 2(l + 12)

15 = l + 12

l = 3 feet

Hence the length of thegarden if it is 12 feet wide is 3 feet

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