Step-by-step explanation:
2x + 10y = 50 ... 1
1.5x + 25y = 90 ...2
...1 × 2.5
5x + 25y = 125 ...3
...3 - ...2
3.5x = 35
x = 10
replaced x = 10 in ...1
2(10) + 10y = 50
20 + 10y = 50
10y = 50 - 20
10y = 30
y = 3
Answer:
Step-by-step explanation:
We can use the geometric mean theorem:
The altitude on the hypotenuse is the geometric mean of the two segments it creates.
In your triangle, the two segments are MP and PO.
MP + PO = MO
MP + 3 = 15
MP = 12
Then,
Answer:
13
Step-by-step explanation:
f(x) = x/2 +8
f(10) = 10/2 +8
f(10) = 5+8
f(10) = 13
A great way to organize this would be to make a t-chart!
<u>Triangular Prism | Triangular Pyramid
</u> |
<u />*2 triangular bases | *1 triangular base
|
*3 lateral faces in the | * 3 lateral faces in the
shape of rectangles | shape of triangles
The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
<h3>How to determine the probability?</h3>
In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
Read more about probability at:
brainly.com/question/251701
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