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Katarina [22]
4 years ago
8

!!!HELP QUICK!!!!!! !!!!!I PUT MORE POINTS U EARN!!!!!!! The leg of a right triangle is 4 units and the hypotenuse is 9 units. W

hat is the length, in units, of the other leg of the triangle?
Mathematics
1 answer:
denpristay [2]4 years ago
5 0

Answer:

sqrt(65) units

Step-by-step explanation:

sqrt(9² - 4²)

sqrt(65)

sqrt: square root

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What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid?
lana66690 [7]

Answer:

The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.

Step-by-step explanation:

i) volume of triangular pyramid  = \frac{1}{3} \times Area \times height

     = \frac{1}{3} \times (Base of triangle \times perpendicular height of triangle) \times height

ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled

  and the volume of the new pyramid will be 8 times that of the original one.

3 0
3 years ago
A rectangle swimming pool is 8 feet deep. One side of the pool is 4.5 times longer than the other. The amount of water needed fo
wel

The side lengths of the pool 10 ft and 45 ft.

<u>SOLUTION: </u>

Given, a rectangle swimming pool is 8 feet deep.  

One side of the pool is 4.5 times longer than the other.  

Let the length of pool be n feet, the width will be 4.5n feet

The amount of water needed for the swimming pool is 3600 cubic ft

We have to find the dimensions of the pool. Now, we know that,  

\begin{array}{l}{\text {volume of pool}=\text {depth} \times \text {length } \times \text {width}} \\\\ {\rightarrow 3600 \text { cubic } f t=8 \text { feet } \times \text { n feet } \times(4.5 n) \text { feet }} \\\\ {\rightarrow 8 n \times 4.5 n=3600} \\\\ {\rightarrow 36 n^{2}=3600} \\\\ {\rightarrow n^{2}=100}\end{array}

On taking square root on both sides we get,

\begin{array}{l}{\rightarrow\sqrt{n^{2}}=\sqrt{100}} \\\\ {\rightarrow n=10 \mathrm{ft}}\end{array}

So, the width will be 4.5 n=4.5 \times 10=45 \mathrm{ft}

5 0
4 years ago
A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25

Taking square root on both sides

\sqrt{c^2}=\sqrt{234.25}\\c=15.30

Hence,

Length of diagonal of picture = 15.30 inches

3 0
3 years ago
Is subtraction of decimals associative? If not, give a counter example.
Masteriza [31]
Associative property is only applied to addition and multiplication. Thus, it can't be applied to subtraction. This property is manifested when you get the same answer no matter where you put the parenthesis. Example of associative property is:

(50 + 2) + (92 + 6) = 52+98 = 150
50 + (2+92) + 6 = 50 + 94 + 6 = 150

Here is the counter example for the subtraction of decimals:

(3.45 - 8.92) - (1.9 - 7.3) = -5.47 - ⁻5.4 = -0.07
3.45 - (8.92 - 1.9) - 7.3 = 3.45 - 7.02 - 1.9 = -5.47
As you can see, the answers are not the same.
4 0
3 years ago
Ax+3 = 7- bx what is x expressed in terms of a and b
krek1111 [17]
Ax+3=7-bx
Ax=4-bx
 A=4-bx/x

Ax+3=7-bx
Ax-4= -bx
Ax-4/x= -b
-Ax+4/x=b
b= -Ax+4/x
6 0
3 years ago
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