A book shows an enlarged photo of a carpenter bee. A carpenter bee is about 6×10^-3 m long. The photo is 13.5 cm long. About how many times as long as a carpenter bee is the photo?

Answers

Answer 1
Answer:  A ratio compares values. A ratio says how much of one thing there is compared to another thing. We do as follows:

length of photo/ length of a carpenter bee = ratio of the two
13.5 / 6x10^-3 = 2250

Therefore, the photo is 2250 longer than the carpenter bee.

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Pls help with these questions, u don’t have to do both but it will help if u do :D thankss (will give brainliest)
Evaluate 5x – 2 when X = 3

A hexagonal prism has vertices. t/f

Answers

true..it does...and it has 12 vertices

Convert the following to mixed numbersa. 13/12
b. 20/3
c.9/4
d.19/5
e.28/6
thank you!!

Answers

a. \n(13)/(12)=(12)/(12)+(1)/(12)=\boxed{1 (1)/(12)} \n \nb. \n(20)/(3)=(18)/(3)+(2)/(3)=\boxed{6 (2)/(3)} \n \nc. \n(9)/(4)=(8)/(4)+(1)/(4)=\boxed{2(1)/(4)} \n \nd. \n(19)/(5)=(15)/(5)+(4)/(5)=\boxed{3 (4)/(5)} \n \ne. \n(28)/(6)=(14)/(3)=(12)/(3)+(2)/(3)=\boxed{4 (2)/(3)}
A:  (13)/(12)= (1+1*12)/(12)=1 (1)/(12) \n   \n B: (20)/(3)= (2+6*3)/(3)=6 (2)/(3)  \n  \n C: (9)/(4)= (1+2*4)/(4)=2 (1)/(4)  \n  \n D: (19)/(5)= (4+3*5)/(5)=3 (4)/(5)  \n  \n E: (28)/(6)=  (14*2)/(3*2)= (14)/(3)= (2+4*3)/(3)=4 (2)/(3)
Hope I Helped! :-)

Find the surface area and volume of a cube with sides of 5.5 cm each.

Answers

Answer:

V= 166.375cm^3 and As = 181.5cm^2.

Step-by-step explanation:

First, let's calculate the volume. The volume of a cube is V= s^3 where s is the side. Then,

V = (5.5cm)^3 = 166.375cm^3

Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is A=s^2, also we know that the cube has 6 faces, then the surface area of the cube will be

As = 6*s^2, so

As = 6*(5.5cm)^2

As = 6*30.25cm^2

As = 181.5cm^2.

The equation to find the surface area of a cube is: 2*base+lateral area. The base of a cube is just the area of the square. So you would multiply 5.5*5.5. That would equal 30.25
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.

Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5

your awnser is 185.5cm squared

If 28% of a sum is $100.80, what is the sum?

Answers

Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. Then, the answer is $360.

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building? ​

Answers

Answer:

188 m

Step-by-step explanation:

\tan(12)  =  (40)/(x)  \n x =  (40)/( \tan(12) )  \n x = 188

Answer:

I think that the other answer is WRONG

tan(12) = (x)/(40)

x = tan(12)*40 = 8.5

Step-by-step explanation:

(sin\left(78\right))/(40)=(sin\left(12\right))/(x) = 8.5

Solve for x.6 – 3(2x – 4) = 2(1 + x)

A. -2
B. 0
C. -1
D. 2

Answers

6 - 3(2x - 4) = 2(1 + x)   Use the Distributive Property (Multiply the number on the                                outside of the parentheses by all of the numbers in                                            parentheses to get rid of the parentheses.)
6 - 6x + 12 = 2 + 2x     Isolate the variable. Start by subtracting 2 from both                                           sides.
6 - 6x + 12 - 2 = 2x     Combine like terms. (6, 12, and -2)
16 - 6x = 2x                Add 6x to both sides to get all the x's on one side of the                                    equation.
16 = 8x                       Divide both sides by 8.
2 = x

X equals D. 2 .


Hi Brainiac

6 - 3(2x - 4) = 2(1 + x)
Use the distributive property
6+(-3)(2x)+(-3)(-4) = (2)(1)+(2)(x)
6 - 6x + 12 = 2 + 2x
Now we need to combine like terms
-6x +(6+12) = 2x +2
-6x + 18 = 2x + 2
-6x -2x = 2 - 18
-8x = -16
x = -16/-8
x= 2

I hope that's help... If you have any further questions please let me know. Good night :)