1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
3 years ago
9

a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find

its slant height
Mathematics
1 answer:
sweet [91]3 years ago
6 0
Area of the base = 1/2 * 10 *  5sqrt3 =  25 sqrt3

Total surface area = 25 sqrt3 + 3 *  1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h =   (214.5 - 25sqrt3() / 15

=  11.41 cm to nearest hundredth
You might be interested in
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
A recipe to make 5 cupcakes calls for 10 tablespoons
arlik [135]

Answer:

10×5

Step-by-step explanation:

put a zero at the end of five and make it 50

3 0
3 years ago
Which phrase does not have the same meaning as 3/w
Effectus [21]
The answer is A. There is no multiplication sign in the problem. It’s all division.
7 0
3 years ago
What is the range of the graph above?
Juli2301 [7.4K]
There is no graph for us to see
5 0
3 years ago
Please help me with this question ​
AnnyKZ [126]

Answer:

c 7

Step-by-step explanation:

5a^3 + 9a^2 +7a+4

The coefficient of a is the number in front of a

6 0
3 years ago
Other questions:
  • A 2-digit number with x units and 7 less units than tens.
    12·1 answer
  • Can you please solve the garden question. It's question number 5.
    6·1 answer
  • -3ab+4ac-2ad=-(3ab-4ac+2ad<br> True or false
    9·1 answer
  • Can anyone help the way they put the answers confuses me..
    11·1 answer
  • Which literal equations are equivalent to B=A/h ?
    10·1 answer
  • Help me asap
    7·1 answer
  • Mr.majors ordered six hot dogs and a bucket of popcorn at the concession stand. If the popcorn was 3.20 and the total was 18.20
    7·1 answer
  • This is due soon can someone help me **asap**
    9·1 answer
  • Solve for x in the diagram below. 15 points :3
    11·1 answer
  • Our math class is having a field trip . The ratio of boys to girls joining the field trip is 11:4.​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!