Find the surface area of each pyramid round to the nearest tenth if necessary

Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

[tex]\text{Length}=x-3[/tex]

Area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{width}[/tex]

[tex]270=(x-3)(x)[/tex]

[tex]270=x^2-3x[/tex]

[tex]0=x^2-3x-270[/tex]

Splitting the middle term, we get

[tex]x^2-18x+15x-270=0[/tex]

[tex]x(x-18)+15(x-18)=0[/tex]

[tex](x-18)(x+15)=0[/tex]

[tex]x=18,-15[/tex]

Width of the rectangle cannot be negative. So, the only value of x is 18.

[tex]Width=18[/tex]

[tex]Length=18-3[/tex]

[tex]Length=15[/tex]

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

Answer:im not sure what u mean

Step-by-step explanation:

Answer:

7. 45, 60, 75

8. id k sorry

9. 40, 135, 165

10. 15, 20

Answer:

Below

Step-by-step explanation:

Since all angles in a triangle add up to 180 degrees, all you need to do to find the 1 missing angle is to subtract the given values from 180.

17) 180 - 25 - 102 = 53

Angle Q = 53 degrees

18) 180 - 46 - 34 = 100

Angle E = 100 degrees

Hope this helps, good luck!

Answer:

10

Step-by-step explanation:

c² = a² + b²

= 8² + 6²

= 64 + 36

= 100

c² = 100

c = 10

Answer:

it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2

Step-by-step explanation:

there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12

A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm

Answer:

G

The lateral surface area of the triangular prism is 128 square centimeters. The correct answer would be an option (G) 128 cm².

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides.

As per the question, we have dimension are:

side legth of base  = 6 cm, 5 cm, and 5 cm

height = 8 cm

Lateral surface area = (a+b+c)h

Substitute the values and we get

Lateral surface area = (6+5+5)8

Lateral surface area = 16 × 8

Lateral surface area = 128 cm².

Hence, the lateral surface area of the triangular prism is 128 square centimeters.

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The missing figure has been attached below.

Answer:

b

Step-by-step explanation:

A:B  B:A  C:A  D:B  E:B  F:A  G:A

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!

hope this helped you!

Answer:

9cm2

Step-by-step explanation:

length of two sides: 3

3 x 3 = 9

Since a square has equal lengths you know for sure that it's 3 on each of the sides since all sides are equal in a square and all sides have 3.

To get an area multiply the two different or same given lengths.

When it gives you one given length in a square know that all sides are equal so you multiply the given length by 2 times.

Answer:

9 cm squared

Step-by-step explanation:

The question asks us to find the area, and the way to find the area is in this formula:

length x width = area

Now we just have to find the length and the width of the square and multiply it to find the area.

If you count two non parallel sides, they both are 3 centimeters. So, we just have to plug that in into the formula:

3 (Length) x 3 (Width) = 9 (area)

So, 9 cm squared is our answer :)

Answer:

A=P(l +r/n)nt

Step-by-step explanation:

a, final amount

p, initial

r, interest

n, number of interest per period

t, time

Answer:

13

Step-by-step explanation:

To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.

Answer:

(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2

Step-by-step explanation:

Common memory sense

Answer:

D

Step-by-step explanation:

Because you are simplifying the equation

A = 10 months

B = First part, the two equations:

Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.

Ken: y = 600 - 20x.

They will be equal at 1000 - 60x = 600 - 20x

Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!

1000 - 60x = 600 - 20x

1000 = 600 + 40x

400 = 40x

x = 10 months

y = 600 - 20(10) = 600 - 200 = $400 still owed.

C =

Solve Ian's equation for y = 0, when no money is owed.

1000 - 60x = 0

1000 = 60x

x = 16.66666.... or 17 months.

Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.

Alternatively, six months after 10 is 16 months,

and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.

Answer:

[tex] \frac{8}{25 } [/tex]

8/25 m³

Step-by-step explanation:

each cubic is 8/125 m³ because 2/5 * 2/5 * 2/5 = 8/125 m³

and there is 5 cubic in this object 5*8/125 = 8/25 m³

Answer:

What

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

plz follow me

y9yedyoyohoxzg

Answer:

if noblepenguin sees this, your a horrible mod. stop deleting my answers

Step-by-step explanation:

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

Answer: $2.40

Step-by-step explanation: 12/5 = 2.4

Answer:

D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

Answer:

Step-by-step explanation:

Answer:

the probability is 13/25

Step-by-step explanation:

5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.

Answer:

10 cm²

Step-by-step explanation:

The radius of this circle is half the diameter hence is 2cm

Area of a circle is pi multiplied by the squared radius, i.e

Area = πr²

= 22/7 × 2 × 2

= 12.57 cm²

The nearest 10th is 10

Answer:

Interest may be compounded on all sorts of time frequencies – daily (365 times a year), monthly (every calendar month or 12 times a year), quarterly (every three months or four times a year), semi-annually (every six months or twice per year) or annually (once a year)

Step-by-step explanation:

Answer:

62 m²

Step-by-step explanation:

6 × 7 + 5 × 4 = 62 m²

Answer:

62m squared

Step-by-step explanation:

6*2=12

10*5=50

50+12=62m squared

Answer:

do 3.14× the radius then square it

Step-by-step explanation:

radius = half of the diameter

answer is 201.06yards

Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

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Answer:

(0.2)+(-8)=0.3+-3+0.3m

Step-by-step explanation:

a frend showed me