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erastovalidia [21]
3 years ago
8

Find the value of x for the right triangle. Round your answer to the nearest hundredth

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:38.56

Step-by-step explanation:

tan35=opposite ➗ adjacent

0.7002=27 ➗ x

Cross multiplying we get

0.7002(x)=27

Divide both sides by 0.7002

0.7002x ➗ 0.7002=27 ➗ 0.7002

x=38.56041131

x=38.56 nearest hundredth

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Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor
charle [14.2K]

Answer:

Jelly beans: $6 for 1 kg

Gummy worms: $7 for 1 kg

Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

-2j - 3g = -33

Solve:

-g = -7

Divide both sides by -1.

g = 7

We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

2j + 2(7) = 26

2j + 14 = 26

Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

j = 6

Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

12 + 14 = 26

26 = 26

3 0
3 years ago
-9.b = 45<br> b =<br> What is the answer I need to know the answe
BaLLatris [955]

Answer:

b=-5

Step-by-step explanation:

Divide by -9 to eliminate the -9 on -9b

(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)

-9b/-9=45/-9

b=-5

7 0
3 years ago
8.2<br> 5. In a '70% off' sale, a hat was £33.60.<br> Work out the original price.
Aleks [24]

100% - 70% = 30%

30% of what = £33.60?

Let p = original price

0.30p = 33.60

p = 33.60 ÷ 0.30

p = £112

3 0
3 years ago
Solve the given system, using the substitution method.<br><br> y = 3x – 4<br> 9x – 3y = 14
bulgar [2K]
y=3x-4 \\&#10;9x-3y=14 \\ \\&#10;\hbox{substitute 3x-4 for y in the 2nd equation:} \\&#10;9x-3(3x-4)=14 \\&#10;9x-9x+12=14 \\&#10;12=14 \\&#10;not \ true \\ \\&#10;\boxed{\hbox{no solution}}
5 0
3 years ago
The simple interest earned on a deposit of $4,000 at 5% for 120 days.
fgiga [73]
B. I=PRT is the simple interest formula. 120 days is 4 months, or 1/3 of a year.
I=(4,000)(0.05)(0.33333)
I=$66.67
5 0
3 years ago
Read 2 more answers
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