Find the surface area of the pyramid
find the surface area of the pyramid - 1

Answers

Answer 1
Answer: area of base + (area of triangle surface) = surface area of a pyramid
3 * 3 + (3 * 6 ÷ 2 * 4) = 45
The surface area of the pyramid is 45² yd.

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Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie's weight went from 175 to 150. Jorge's weight went from 190 to 180. Which statements are true regarding their weight loss? Check all that apply1. Jorge's weight change was approximately 5%
2. Maries's weight change was approximately 14%.
3. Marie had the greater percent change
4. Jorge had the greater percent change
5. Jorge's weight change was approximately 0.5%
6. Marie's weight change was approximately 1.4%

Answers

The statements are true regarding their weight loss Option 3 Marie had the greater percent change in weight.

At first, we will find that they both have how much changed in their weight.

So, Marie's change in weight =(175-150)/(175) *100=(25)/(175)*100=14.3

Therefore, Marie's weight change was approximately 14%.

Now, Jorge's change in weight =(190-180)/(190) *100=(10)/(190) *100=5.3

Therefore, Jorge's weight change was approximately 5%.

And from the above calculation, we can say that Marie had the greater percent change in weight.

What is a simple definition of weight?

Weight (symbolized w ) is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.

What is the unit of weight?

Therefore, the SI unit of weight can be measured in kg⋅m/s2 (kilograms times meters per second squared) which is equal to a newton (N). Since weight is the force extended by the gravitational force on a mass it is represented by formula W = m*g, where weight can be kg * m/s2 which is equal to N.

What is weight and formula?

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.

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Answer:

1 ,2, and 3

Step-by-step explanation:

Jorge's weight percent decrease is (190-180)÷190, or amount of change/original amount. Simplified, 10÷190=5.2637157894...%, approximately equal to 5%. The first option is correct. Marie's percent decrease is (175-150)÷175. Simplified, that is 25÷175=14.2857142857...%, which is about 14%. The second option is correct. Clearly, we can tell that Marie had the greater percent change, about 14% to about 5%. Also clearly, Jorge did not have the greater percent change, so we can tell Option 4 is wrong. We already know that Jorge's change is about 5% and Marie's is about 14%, so they can't be about 0.5% or about 1.4%. Options 5 and 6 are incorrect. The correct answers are 1, 2, and 3.

Hope this helps and it's not too long! (P.S. I got it right on Edgen.)

If a round pizza is cut into twelve equal pieces through the center, what is the central angle of each piece?

Answers

Answer:

360/12 = ...

Step-by-step explanation:

The central angle is the angle of each slice at the center, and since they are equal pieces they will have the same angles and side lengths and everything.  

Now, to solve this you just have to know two things, what is the angle for a full circle, and what happens if you strt cutting it.

So easy, there are 360 degrees in a circle.  Now, what if you cut a circle in half, now there are two semicircles, and since you cut it in half the 360 gets cut in half to 180.  Same if you cut it into 4 slices then 360/4.

So you want to find 360/12 to find the central angle of each piece.  

Final answer:

A round pizza cut into twelve equal pieces will have a central angle of 30 degrees for each slice as the total 360 degrees of the circle are divided by the 12 slices.

Explanation:

The subject of this question is mathematics, specifically geometry as it involves finding the central angle of a sliced pizza. To find the central angle for each slice of pizza, you need to know that a circle has 360 degrees. When the pizza is cut into twelve equal slices, the total degrees (360) will be divided by the number of slices (12).

Here is the step-by-step way to solve it:

  1. Start by writing out the total number of degrees in a circle, which is 360.
  2. Next, divide the total degrees by the number of slices, which in this case is 12.

So the central angle for each slice of the pizza will be: 360 degrees / 12 slices = 30 degrees per slice.

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at a warehouse the employees can unload 18 trucks in 6 hours what is the unit rate for unloading trucks

Answers

18 trucks/ 6 hours

divide top and bottom by 6

3 trucks/ hour

The unit rate is 3 trucks per hour

The answer is 3 trucks per hour.

18 / 6 = 3

Hope this helps you!

Make a equation to solve this problem:A number is 1/7 of another number. The difference of the numbers is 18. (assume that you are subtracting the smaller number from the larger number) Find the numbers.

Answers

x=1/7y
y-x=18
add x to both sides
y=18+x
subsitute
x=1/7(18+x)
multiply both sdies by 7
7x=18+x
subtract x form both sdies
6x=18
divide by 6
x=3

subsitute
y=18+3
y=21

x=3
y=21

Jordan made a wooden square box, all sides of the wooden box are 6cm. If he wants to increase the length of all sides by 1.6, what will be perimeter and area of the new box? thanks so much:)

Answers

Answer:

Perimeter of the new box is 30.4 cm

Area of the new box is 57.76 cm²

Step-by-step explanation:

Jordan made a wooden square box, all sides of the wooden box are 6cm. If he wants to increase the length of all sides by 1.6, what will be perimeter and area of the new box?

From the question; all the side of the wooden box is 6 cm, if she increases all  side by 1.6, then the sides become; 6 cm + 1.6 cm = 7.6 cm

Since all the sides are 7.6 cm, then perimeter =  L + L + L + L

                                                                =7.6cm +7.6cm +7.6cm+7.6cm

                                                                  =30.4cm

or                                                          

perimeter of a square = 4L

                 = 4 × 7.6cm

                  = 30.4 cm

Therefore the perimeter of the new box is  30.4 cm

To find the area;

l = 7.6 cm

Area of a square = l × l

                           = 7.6 cm × 7.6 cm

                          =57.76 cm²

Therefore area of the new box is  57.76 cm²

6 + 1.6 = 7.6 

perimeter = 7.6 x 4 = 30.4

Area = 7.6 x 7.6 = 57.76

A line with a slope of -8 passes through the points (6,-1) and (w, 7). What is the value of w?

Answers

Answer:

The value of w is 5.

Step-by-step explanation:

To find the value of w, we start with the slope equation. Then, we input all of the values we are given.

m(slope) = (y2 - y1)/(x2 - x1)

-8 = (7 - -1)/(w - 6)

-8 = 8/(w - 6)

Now to solve for w, we need to cross multiply.

-8(w - 6) = 8

w - 6 = -1

w = 5

Final answer:

To find the value 'w', we use the equation for calculating the slope of a line given two points. After placing the known values into the equation, we solve for 'w' and find that w = 5.

Explanation:

To solve for w, we utilize the formula for the slope of a line given two points (x1, y1) and (x2, y2), which is (y2-y1)/(x2-x1). In our case, we know the slope is -8, and we have one point (6, -1) and another point (w, 7).

So, we set up the equation -8 = (7 - (-1)) / (w - 6). Simplifying this gives -8 = 8 / (w - 6). Cross multiply gives -8*(w - 6) = 8, which simplifies to -8w + 48 = 8. Subtracting 48 from both sides gives -8w = -40, so w = 5.

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