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sasho [114]
2 years ago
7

Find the surface area of the pyramid. The side lengths of the base are equal. Square pyramid with base edge of 12 centimeters, a

nd a slant height measuring 17 centimeters, on a triangular face. The surface area is square centimeters.
Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

the surface area of the square pyramid is 576.66 cm^2

Step-by-step explanation:

The computation of the surface area of square pyramid is given below:

A = a^2  + 2a × √a^2 ÷ √4 + √h^2

where

a = 12 cm

h = 17 cm

Now put the value of a and h in the above formula

= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2

= 576.66 cm^2

hence, the surface area of the square pyramid is 576.66 cm^2

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).
Radda [10]

Answer:

15<em>y</em> = -28 <em>x</em> + 205.

Step-by-step explanation:

Slope intercept  form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}

Now equation of line:

<em> y = mx + c</em>

substituting the value of m in above expression,

y = -\frac{28}{15} x + c

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

23 = -\frac{28}{15} \times (-5) + c

23 = \frac{28}{3} + c

c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}

So equation of line in slope intercept form:

y = -\frac{28}{15} x + \frac{41}{3}

Further solving,

15<em>y</em> = -28 <em>x</em> + 205.

3 0
2 years ago
You are starting a babysitting business to earn enough money to buy a new iPhone 7 Plus, which costs $769. You already have $240
Zina [86]

Answer:

9 times 59 is 531. 531+240= 771 she needs to work 59 hours.

Step-by-step explanation:

5 0
2 years ago
5,309 divided by 43 5th grade lesson 2.6
pickupchik [31]
5,309 divided by 43 is equal to 123.4651162790698
7 0
3 years ago
Read 2 more answers
Please help i need answer and explanation.
allsm [11]

Answer:

m<TVZ = 95

Step-by-step explanation:

2x+15+2x+5= 180

4x+20 =180

     -20  -20

4x=160

x= 40

2x+15= m<TVZ

2(40)+15 = m<TVZ

80+15 = m<TVZ

95 = m<TVZ

To check:

2x+5= <WVZ

2(40)+5 = <WVZ

80+5 = <WZV

85+95 = 180

The two angles together should equal 180. Comment if you have any questions :)

6 0
2 years ago
Read 2 more answers
What is the answer to this problem 1.5(x + 4) – 3 = 4.5(x – 2)?
erastova [34]

Answer:

x = 4

Step-by-step explanation:

1.5(x + 4) – 3 = 4.5(x – 2)

Distributive property

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

1.5x - 4.5x = -9 -3

-3x = -12

  x = 4

7 0
3 years ago
Read 2 more answers
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