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gizmo_the_mogwai [7]
3 years ago
10

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface

area of the pyramid?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height 
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²
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Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,
melamori03 [73]

Answer:

Stefanie bought 10 erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

5 0
4 years ago
In Lexie's art bag there are 11 green colored pencils, 7 blue colored pencils, and 3 red colored pencils. What is the ration of
melamori03 [73]

Answer: 11:7

Step-by-step explanation:

Number of green colored pencils=11

Number of blue colored pencils= 7

Number of red colored pencils= 3

Total number of colored pencils= 11+7+3= 21

Ratio of green colored pencils to blue colored pencils= 11:7

7 0
3 years ago
The world brand of rivet placement is 11209 rivets in 9 hours and belongs to J. Mair of Ireland. If another person places 11209
Ilya [14]

Answer:

4.74 hours

Step-by-step explanation:

Given that both person have to place same number of rivets that is

11209

first person take 9 hours to complete the work

hence 1 hour work of 1st person is \frac{1}{9} of total work

second person takes 10 hours to complete the same work

hence 1 hour work of 2nd person is \frac{1}{10}

Now if both work together then

1 hour work of both person = \frac{1}{9} +\frac{1}{10} =\frac{19}{90}

thus working together they need \frac{90}{19} hours = 4.74 hours to complete the whole work which is placing 11209 rivets  

5 0
3 years ago
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
USPshnik [31]

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

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

 = (-7--1)/(-5-0)

 = (-7+1)/(-5-0)

 = -6/-5

 = 6/5

We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0
3 years ago
What is m<4? I tryed to do the work but I just can't get it can someone help me plz
Mars2501 [29]
M<6 is 60
Since AC and BD are parallel, <6 and <4 are supplementary.
supplementary means = 180 degrees
Since m<6 is 60 degrees, subtract 60 from 180 to get <4
180 - 60 = 120

M<4 is 120

hope this helps
7 0
4 years ago
Read 2 more answers
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