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Alinara [238K]
3 years ago
12

Giving a lot of points help! What is the value of x?

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Step-by-step explanation:

With reference angle 60°

perpendicular (p) = 2√3

hypotenuse (h) = ?

We know

sin 60° = p/h

√3/2 = 2√3 / h

cross multiply

h =( 2√3 * 2)/ √3

therefore h = 4

So

Now

with reference angle 45°

perpendicular (p) = x

base (b) = 4

Now

tan 45° = p/b

1 = x / 4

Therefore x = 4

Hope it will help you :)

irga5000 [103]3 years ago
4 0

Answer:

Step-by-step explanation:

a triangle = 180

Q = 180 - (90 + 45)

Q = 180 - 135

Q = 45

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Nonamiya [84]

Answer:

a. 3

b. 6

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Step-by-step explanation:

5 0
3 years ago
An iceberg weights 450,000 pounds. If it loses 0.2% of its weight in a day, what is its new weight at the end of the day?
Papessa [141]

Answer:

449,100 pounds

Step-by-step explanation:

.2% as a decimal is 0.002. To find .2% of 450,000, you multiply it. The answer is 900 pounds. Because it is losing that amount, you subtract it. 450,000-900= 449,100 pounds

8 0
4 years ago
Scott used 1 3 tablespoons of salt to make 1 4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he
olasank [31]

Answer:

B) 4 tablespoons of salt

Step-by-step explanation:

Here is the correct question: Scott used 1/3 tablespoons of salt to make 1/4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he need to make triple the recipe?

Given is the ratio of salt and beans to make recipe for 1 liter of beans.

Ratio given for 1 liters of beans; \frac{salt}{beans} = \frac{\frac{1}{3} }{\frac{1}{4} }.

Now, simplifying the ratio

\frac{\frac{1}{3} }{\frac{1}{4} }= \frac{1}{3} \times \frac{4}{1}

∴ Ratio for salt and bean in a recipe for 1 liter of beans is \frac{4}{3}.

Next, finding the proportion of salt to make triple the recipe.

Triple the recipe means 3 times of 1 liter of beans, which is 3 liters of beans.

∴ The proportion of salt in 3 liter beans= \frac{4\ tablespoon\ salt}{3\ tablespoon\ beans} \times 3\ lts\ of\ beans

Hence, 4 tablespoon of salt is required to make 3 liters of beans or triple the recipe.

7 0
3 years ago
Read 2 more answers
4. Stephanie breaks on average 1.5 pencils every school day. How many pencils can she expect to break in a week (5 days)?
olya-2409 [2.1K]

Answer:

7.5 pencils broken in a week (5 days).

Step-by-step explanation:

1.5 pencils broken a day

Now we just multiple this by 5 for each of the school day's.

1.5 pencils * 5 days = 7.5 pencils broken in a week.

Have a nice day! :)

Please mark this answer as brainiest!

7 0
3 years ago
Maurice has three 20 bills two 10 bills 10 quarters 12 nickels and 2 pennies. If he donates an equal amount of hop is money to 4
saveliy_v [14]
Aloha!
 First, add $20 and $20 and $20 and $20 because of the one $20 bill and the two ten dollar bills. 

Add the 10 quarters which is 2.50 and add 12 nickles 60 cents or .60 then add 2 pennies.
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 So to answer your question: 20.78 is how much each charity would get.
I hope this helps!:)
7 0
3 years ago
Read 2 more answers
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