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Artyom0805 [142]
3 years ago
6

PLEASE HELP x = ___ units

Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0

Answer:

x = <u>16</u> units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

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Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large
Natasha_Volkova [10]
Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

   5 small fish            x fish
_____________=__________
     10 gallons        200 gallons

cross multiply
10x=1000
divide both sides by 10
x=100 small fish

The first aquarium has 100 small fish.

The second aquarium holds large fish.

   8 large fish            x fish
____________=___________
    40 gallons        200 gallons

cross multiply
40x=1600
divide both sides by 40
x=40 large fish

The second aquarium has 40 large fish.

100small fish+40 large fish=140 total fish
7 0
3 years ago
Read 2 more answers
3/4+5/36+7/144+.......+17/5184+19/8100<br><br>(a)0.95 (b)1 (c) 0.99 (d)0.98​
abruzzese [7]

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

HOPE THIS HELPS!!!! :)

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4 0
4 years ago
"A pieces of licorice is cut into 10 equal-sized pieces. If the length of the piece of licorice is 2/3 yard, how long will each
jok3333 [9.3K]
Each piece of licorice will be 2.4 inches

Work: 2/3 yard = 2 feet = 24 inches ÷ 10 = 2.4 inches
5 0
3 years ago
What is 0.7, 0.755, 5/8 from least to greatest?
Margarita [4]
I like to start by turning all my numbers into the same form.  You can go either way but I am going to turn the decimals into fractions.  so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200  (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that.  151/200 already has a denominator of 200 so that one is set.
for 7/10  well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8  8 times 25 is 200 so multiply both numbers by 25 to get 125/200  

the fractionos we have are 125/200  151/200 and 140/200.  Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200  140/200  151/200  now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7 
151/200 was 0.755
so the final answer is 
5/8, 0.7, 0.755
6 0
3 years ago
If an = 2n - 3, then what is the fifth term of the sequence?
boyakko [2]

Answer:

7

Step-by-step explanation:

To find the fifth term in the sequence, plug in 5 for n.

a₅=2(5)-3

Then just solve

a₅=10-3

a₅=7

3 0
3 years ago
Read 2 more answers
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