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miss Akunina [59]
1 year ago
12

16) Find the lateral area of the regular pyramid. 5 cm www 24 cm​

Mathematics
1 answer:
Elena L [17]1 year ago
7 0

Answer:

LA = 624 cm²

Step-by-step explanation:

h² = 5² + 12²

h = 13

LA = 4 × bh/2

LA = 4 × (24 cm)(13 cm)/2

LA = (48 cm)(13 cm)

LA = 624 cm²

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PLEASE HELP WILL MARK BRAINLIEST!!(plz show work too)
trapecia [35]

\huge \bf༆ Answer ༄

Let the capacity of bus be x students

And van be y students, now ;

From the given statements we get two equations ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260 \:   \:  \:  \: \:  (1)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:13x + 5y = 670 \:  \:  \:  \:  \: (2)

multiply the equation (2) with 2 [ it won't change the values ]

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260 \: \:  \:  \:   \:  \:  \:  \:  \: (1)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:26x + 10y = 1340 \:  \:  \:  \:  \: (3)

Now, deduct equation (1) from equation (3)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:26x + 10y - 2x - 10y = 1340 - 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:24x = 1080

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 1080 \div 24

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 45

Therefore each bus can carry (x) = 45 students

Now, plug the value of x in equation (1) to find y ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:(2 \times 45) + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10y = 260 - 90

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10y = 170

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = 170 \div 10

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = 17

Hence, each van can carry (y) = 17 students in total.

5 0
2 years ago
Pls anwer this qestion it is worth 30 points
Sveta_85 [38]

Answer:

49

Step-by-step explanation:

25b² + 70b + ....

( 5b + 7)² = 5×5b² + 2×5×7b + 7×7 = 25b² + 70b + 49

6 0
2 years ago
two similar triangular prisms have surface areas of 64cm2 and 144cm2(the 2 means square) respectively. a.find the ratio of their
Hunter-Best [27]

Answer:

a.The ratio of the heights is the square roots of the both of them √64 and √144

which is 8 and 12

b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion

8 - 49

12-x

8x/8=588/8

x=73.5

I hope this helps

4 0
3 years ago
Please help answer these
BabaBlast [244]
You should use the ratio so 

2/ 4  = 6.5 / n  

n= 6.5 x 4  / 2 =  13 inches 


2- for two hours ------> four inches of snow 
for x hours -----> y inches of snow 
the equation is 
2/4 = x/ y 

x= 2y / 4 
 for x is the hours and y is the inches 

exercice 2
5 gr granula ----------------------> 1750 calories 
2 gr granula ----------------------> n ?? calories 

by cross multiplication 
n = 2 x1750 / 5 =  700 calories .

2-
she wants to eat 175 calories so 
u put granula under granula  and calories under calories to make this cross 

<span>5 gr granula ----------------------> 1750 calories 
</span>??? m granula ---------------------> 175 calories 
<span>by cross multiplication </span>
m = 175 x 5 / 1750 =  0.5 gr of granula 
8 0
3 years ago
How do I solve this step by step?
Gemiola [76]
You multiplique 2×5/2 dont touch the upper 2, then 10/2=5. 2×3/2,and you get 6/2 = 3 , so 5-3= 2
6 0
3 years ago
Read 2 more answers
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