Answer:
The volume of the tent is 
Step-by-step explanation:
we know that
The volume of the square pyramid (child's tent) is equal to

we have


substitute

3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
<h3>
Answer: Third choice. 
</h3>
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Explanation:
SAS stands for Side Angle Side. Note how the angle is between the two sides. To prove the triangles congruent with SAS, we need to know two sides and an angle between them.
We already see that BC = CD as shown by the tickmarks. Another pair of sides is AC = AC through the reflexive theorem.
The missing info is the angle measures of ACB and ACD. If we knew those angles were the same, then we could use SAS to prove triangle ACB is congruent to triangle ACD.
It turns out that the angles are congruent only when they are 90 degrees each, leading to AC being perpendicular to BD. We write this as
. The upside down T symbol meaning "perpendicular" or "the two segments form a right angle".
Answer:
3x−y=5;x+2y=4
x=2 and y=1
Step-by-step explanation:
Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.