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lora16 [44]
2 years ago
13

30 Points, I'll mark brainliest

Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

Question1

1,000 tons

Question2

3:8

Question 3

Store D

Step-by-step explanation:


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What is the domain of the function<br> y=^3 sqrt x-1
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How much greater is the surface area of the rectangular prism than the surface area of the
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Step-by-step explanation:

5 0
3 years ago
Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°.<br><br> a. 60°<br> b. 150°<br> c. 30°<br> d. 120°
ladessa [460]

Answer:

\boxed{a.\:\:\:60\degree}

Step-by-step explanation:


The given trigonometric equation is


5\tan(x)=5\sqrt{3} for 0\degree \le x\le 180\degree.


We divide through by 5 to get;


\tan(x)=\sqrt{3}


We take the inverse tangent of both sides to obtain;


x=tan^{-1}(\sqrt{3})


x=60\degree


Since the tangent ratio is positive, it means x could also be in the 3rd quadrant. But this is outside the given range.


Therefore the correct answer is A


6 0
3 years ago
There are nickles and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?
Eduardwww [97]
Answer:

There are 24 nickels

Step-by-step explanation:

Let x represent the number of nickels

Let y represent the number of quarters
—————————————————————

Value Value
Type Number of of
of of each all
Coin Coin Coin Coin
—————————————————————
Nickels | x | $0.05 | $0.05x
Quarters | y | $0.25 | $0.25y
—————————————————————
Totals 28 ——— $2.20
•••••••••••••••••••••••••••••••••••••••••••••••••

The first equation comes from the “Number of coins” column.

(Number of nickels) + (Number of quarters) = (total number of coins)

Equation: x + y = 28
—————————————————————
The second equation comes from the “value of all coins” column.

(Value of all nickels) + (Value of all quarters) = (Total value of all coins)

0.05x + 0.25y = 2.20

Remove the decimals by multiplying each term by 100:

5x + 25y = 220
—————————————————————
So we have the system of equations:

{x + y = 28
{5x + 25y = 202

Solve by substitution. Solve the first equation for y:

x + y = 28
y = 28 - x

Substitute (28 - x) for y in 5x + 25y = 220

5x + 25 (28 - x) = 220
5x + 700 - 25x = 220
-20x + 700 = 220
-20x = -480
x = 24

The number of nickels is 24.
————————————————————
Substitute in y = 28 - x
y = 28 - (24)
y = 4

The number of quarters is 4.
————————————————————
Checking:

24 nickels is $1.20 and 4 quarters is $1.00
That’s 28 coins.
Indeed $1.20 + $1.00 = $2.20
————————————————————

6 0
2 years ago
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