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Dima020 [189]
3 years ago
9

Matt filled his pail with 16 kg of sand, but found that it was too heavy to carry. He scooped out 7 kg of the sand. What is the

mass of the sand in the pall now?
9 g

9001

9 kg
9g​
Mathematics
2 answers:
lana66690 [7]3 years ago
6 0

Answer:

9kg

Step-by-step explanation:

16k-7kg=9kg

IRINA_888 [86]3 years ago
4 0

Answer:

9kg

Step-by-step explanation:

..................

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What is the simple interest for a principal of $650 invested at a rate of 9% for 5 years?
Ne4ueva [31]

Answer: 292.50 dollars

Work Shown:

P = 650 is the the principal.

r = 0.09 is the interest rate in decimal form.

t = 5 is the number of years.

i = P*r*t

i = 650*0.09*5

i = 292.50 is the simple interest.

8 0
3 years ago
The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
Due in 10 min help! <br> Find t.
lys-0071 [83]

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = 7\sqrt{2} mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Using this trigonometric ratio in the given triangle, we get

\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}

\dfrac{7\sqrt{2}}{\sqrt{2}}=t

7=t

Therefore, the value of t is 7 millimetres.

8 0
3 years ago
Solve for u.<br> 36 – 9u = 27
strojnjashka [21]

Answer:

u = 1

Step-by-step explanation:

First, we can use inverse operations to help.

27 + 9u = 36

Next, we can start replacing u with numbers to find which number fits in u.

27 + 9(1) = 36

27 + 9(2) ≠ 36

27 + 9(3) ≠ 36

Now, we know that u = 1

8 0
4 years ago
1. According to the graph, how many hours a day does the average teenager spend at school.
Harrizon [31]
An average of 6 hours per day
3 0
3 years ago
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