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erik [133]
2 years ago
8

Jamie needs to determine the distance across a river. She selects a rock, R, on the opposite river bank. She finds a tree, T, on

her side of the river such that is perpendicular to the river.
Next, Jamie walks 50 yards down the river from the tree, T, to a spot, C. Using a compass that she made from two sticks, she measures . She then walks from C in a direction that makes the same angle as with the river bank on her side of the river. She keeps walking in that direction until she sees the tree and the rock in a straight line from her position. She marks this point B and then paces from B to T to measure the distance from point B to the tree. If BT turns out to be 75 yards, what is RT, the distance across the river?
Mathematics
2 answers:
ICE Princess25 [194]2 years ago
7 0

Answer:

RT.

Step-by-step explanation:

Anarel [89]2 years ago
3 0

Answer:

75 yards

Step-by-step explanation:

triangle TCB and triangle TCR  are congruent. Corresponding sides of congruent triangles have equal lengths.

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A farmer has 180 yards of fencing material to make a rectangular
dlinn [17]

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

5 0
3 years ago
June needs 45 gallons of punch for a party and has 2 different coolers to carry it in. The bigger cooler is 5 times as large as
mixer [17]

Answer:

The capacity of smaller cooler = 7.5 gallons

The capacity of bigger cooler = 37.5 gallons

Step-by-step explanation:

Let smaller cooler's capacity be x gallons

Hence

Larger cooler's capacity will be 5x gallons

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x + 5x = 45

Solving:

x + 5x = 45

6x = 45

x = 45/6 = 7.5

And 5x = 5(7.5) = 37.5

The capacity of smaller cooler = 7.5 gallons

The capacity of bigger cooler = 37.5 gallons

4 0
3 years ago
Lara has three cats: Socks, Princess, and Luna. The ratio of Sock's weight to Princess's weight is 4:5. The ratio of Princess's
romanna [79]
A = Sock's weight
b = Princess' weight
c = Luna's weight

a : b = 4 : 5
b : c = 6 : 7

at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same

a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35

Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
6 0
2 years ago
Read 2 more answers
2/3÷2 1/3= dividing fractions
wolverine [178]

Answer:

3/3

Step-by-step explanation:

3/3

4 0
2 years ago
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Anni [7]
-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >
3 0
3 years ago
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