Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
31 + x + 4 + 3x + 9 = 180, that is
4x + 44 = 180 ( subtract 44 from both sides )
4x = 136 ( divide both sides by 4 )
x = 34
Thus
∠ S = x + 4 = 34 + 4 = 38°
∠ T = 3x + 9 = 3(34) + 9 = 102 + 9 = 111°
To find z, you have to divide -3 and 10, which you would get an odd number. That will be your answer for z :)
Answer:
Each Friend will get
cards.
Step-by-step explanation:
Let the number of cards be x.
Given:
Amount Nicole used to spend on cards = $9
Total cost of one set =$27
Also, she finds friends with the same amount of money to split the cost of a set.
So, Number of friends she finds can be calculated by dividing the Cost of 1 set with amount of money Nichole used to spend on cards.
Number of friends she finds = 
Hence she finds 2 friends and 1 is nichole hence there are 3 persons carrying $9 to buy $27 set of card
Now, Number of cards each friend gets is equal to Total number of Cards in 1 set divided by number of people.
Number of cards each friend = 
Hence Each Friend will get
cards.
Answer:
43.75 ft²
Step-by-step explanation:
= (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
<em />
<em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>
<em />
= 2(3.5√(3.5/2)² + 6²)
<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>
<em />
<em> </em>= 2(3.5√1.75² + 6²)
<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>
= 2(3.5√3.0625 + 36)
<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>
<em />
= 2(3.5√39.0625)
<em>Step 5: The square root of 39.0625 is 6.25.</em>
<em />
<em> </em>= 2(3.5 * 6.25)
<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>
<em />
= 2(21.875)
<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>
<em />
= 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
<em />
<em />
Answer:
The point which represents the cost of 4 pints is:
(4,8)
Step-by-step explanation:
We are given that:
A market sells strawberries for $2.00 per pint.
Then, cost of 4 pints= $ 4×2.00
= $8.00
The point on the x coordinate represents number of pints
and the point on the y coordinate represents the cost in dollars
Hence, the point which represents the cost of 4 pints is:
(4,8)