Find the lateral AND total surface area of a rectangular prism
7 cm
5 cm
2 cm

Answer:

(3x-2)^2

Step-by-step explanation:

3^2x^2-2*3x*2+3^2

(3x)^2 -2*3x*2+2^2

And youll get (3x-2)^2

Answer:

161

Step-by-step explanation:

It's a system of equations, let's solve it step-by-step!

Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]

2^5 = 32

so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].

3 * 32 = 96

so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].

13 * (-2) = -26

so we have [96 - 26] + 7[8 - (4 - 9)].

96 - 26 = 70

so we have 70 + 7[8 - (4 - 9)].

4 - 9 = -5

so we have 70 + 7[8 - (-5)].

8 - (-5) = 13 (the signs cancel out)

so we have 70 + 7[13].

7 * 13 = 91

so we have 70 + 91.

70 + 91 = 161

Therefore our answer is 161.

Answer:

53

Step-by-step explanation:

Answer:

Yed, it is possible as

Step-by-step explanation:

4 + 5 = 9

So, sum of two sides of a triangle is always greater than the third side(largest one)

Answer:

x = -27

Step-by-step explanation:

x(x+3)=2(x+15)

x+3=2x+30

x+3-2x+30

x-2x=30-3

-x=30-3

-x=27

x = -27

Answer:

4:08

Step-by-step explanation:

The current time is 3:30, 38 minutes later would be 4:08

Answer:

B, D, E

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

the angle Θ between vectors a and b is

cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°

Answer:

cos θ= 60°

Step-by-step explanation:

cos θ= a . b/।a। ।b।

=15/2/3×5

=15/30

=1/2

cos θ=cos60°

θ=60

Answer:

110º

Step-by-step explanatio:

6x+20 + 4x+10 = 180

180 - 30= 150

150=10x

10x/150

x = 15

6(15) + 20 = 110

Answer:

102 miles

Step-by-step explanation:

In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])

In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]

Converting yards to miles is:  [tex]x (yards) / 1760[/tex]

[tex]180000/1760 = 102.2727272...[/tex]

∴ The bus will travel 102 miles in 2 hours.

I'm sure the answer is B if it's not B it's A trust

Answer:

(- 2, - 3 )

Step-by-step explanation:

y = 3x + 3 → (1)

y = x - 1 → (2)

substitute y = 3x + 3 into (2)

3x + 3 = x - 1 ( subtract x from both sides )

2x + 3 = - 1 ( subtract 3 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 2 - 1 = - 3

solution is (- 2, - 3 )

Answer:

y = -3, x = -2

Step-by-step explanation:

1. Substitute "y = x - 1" in for y in the first equation:

x - 1 = 3x + 3

2. Isolate x:

x = 3x + 3 + 1

3. Combine like terms:

-2x = 4

4. Solve for x:

-2x/-2 = 4/-2

x = -2

5. Solve for y with substitution (using the second equation):

y = -2 - 1

y = -3

hope this helps!

Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)

Answer:

what table???

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.

An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49

sinθ = 1/2

θ = sin⁻¹ (0.5) = 30⁰

tan(30) = s² / 49

s = 5.32 ft/s

Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.

Learn more about speed on:

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Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression

Step-by-step explanation:hope this can help you :)

Answer:

h = 11.3 cm

use tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:

=========

[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]

[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]

[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]

We can try for loops along with conditional statements to get the indices of the needed numbers.

Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).

For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:

for idx_1 in range(len(arr)//2 + 2):

   num_1 = arr[idx_1]

   found = 0

   for idx_2 in range(idx_1 + 1, len(arr)):

       num_2 = arr[idx_2]

       if target == num_1 + num_2:

               print(idx_1, idx_2)

               found = 1

               break

   if found: break

Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.

This python code gives the indices of a pair of two numbers from the array given which adds up to the target.

Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.

Learn more about zero-based indexing here:

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Answer:

A

Step-by-step explanation:

a. 4350 * 0.25 = 1087.50, food + transportation = 500 + 150 = 650, 650<1087.50, correct

b. 4350*0.5=2175, 1600 doesnt equal 2175, wrong

c. 4350 * 0.2 = 870, 500<870, wrong

d. 200<1087.50, wrong

The area of the cylinder is the amount of space on it.

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

The lateral surface area of a cylinder is:

L = 2πrh

The question is incomplete. Assume the following parameters

Radius, r = 10

Height, h = 5.

Then we have:

L = 2 * 3.14 * 10 * 5

Evaluate the product

L = 314

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

Read more about cylinders at:

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The graph that represents the solution set for x > -6 is Graph D.

In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.

To find the solution set for the inequality 2x + 3 > -9,

2x + 3 > -9

Subtract 3 from both sides:

2x > -12

Divide both sides by 2:

x > -6

The solution set for the inequality is x > -6, which means that x is greater than -6.

So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.

Learn more about Number line here:

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Answer:

Option A

Step-by-step explanation:

Area of shaded region

Square:

   Side = 12 m

Area of square = Side *side

                        = 12 *12

                         = 144 square m

Circle:

  diameter = side of the square

                  = 12 m

             r    = 12/2

                r = 6 m

  Area of circle = πr²

                         = 3.14 *6 * 6

                         = 113.04 m²

Area of the shaded part = area of square - area of circle

                                        = 144 - 113.04

                                        = 30.96 m²

Answer:

A

Step-by-step explanation:

it is option A and my answer got deleted…

Answer:

Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

Total: 528 cm²

Step-by-step explanation:

Hope this helps!

Answer:

75%

Step-by-step explanation:

Answer:

The selling price is $62.50 And b is is 75%

Step-by-step explanation:

Answer:

D, D, B

Step-by-step explanation:

multiply 744 by 1,000 to get your meters.

7 times the cost of each lawn, X will equal 210.

25 minus 12 is 13

this holds true for the one below also

[tex]circumference = 2 \times \pi \times r[/tex]

[tex]circumference = 2 \times \pi \times 7[/tex]

[tex]circumference = 14\pi[/tex]

Answer:

14π

Step-by-step explanation:

Given:

To determine the circumference of the circle, we need to use the formula 2πr, where "r" represents the radius of the circle.

Substitute the radius in the formula:

[tex]\implies 2\pi (r) = \text{Circumference}[/tex]

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

Simplify the circumference:

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

[tex]\implies 14\pi = \text{Circumference}[/tex]

Thus, the circumference is 14π.