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3 years ago

Please I need help it’s an emergency

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer:

the answer is 36

Step-by-step explanation:

beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36

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(20 x 40) x 14 = ?

fredd [130]

To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.

Using this method, we have to perform the multiplication inside the parentheses first.

(20 * 40) * 14

800 * 14

Finally, we must perform the final operation to simplify this expression, which is multiplication.

800 * 14 = 11200

Therefore, your final answer is 11200.

Hope this helps!

3 0

3 years ago

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$25;300%increse percent change

Korolek [52]

well and 300% increase means you multiply by 3 and then add the original number

in this case 300% of 25 is 75 and its an increase so 25+75=100

the answer is 100

4 0

2 years ago

Find the standard equation of a sphere that has diameter with the end points given below. (3,-2,4) (7,12,4)

DiKsa [7]

Answer:

The standard equation of the sphere is $(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53$

Step-by-step explanation:

From the question, the end point are (3,-2,4) and (7,12,4)

Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.

The midpoint can be calculated thus

Midpoint = $(\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})$

Let the first endpoint be represented as $(x_{1}, y_{1}, z_{1})$ and the second endpoint be $(x_{2}, y_{2}, z_{2})$ .

Hence,

Midpoint = $(\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})$

Midpoint = $(\frac{3 + 7 }{2}, \frac{-2+12 }{2}, \frac{4 + 4 }{2})$

Midpoint = $(\frac{10 }{2}, \frac{10}{2}, \frac{8 }{2})\\$

Midpoint = $(5, 5, 4)$

This is the center of the sphere.

Now, we will determine the distance (diameter) of the sphere

The distance is given by

$d = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} + (z_{2}- z_{1})^{2} }$

$d = \sqrt{(7 - 3)^{2} +(12 - -2)^{2} + (4- 4)^{2}$

$d = \sqrt{(4)^{2} +(14)^{2} + (0)^{2}$

$d = \sqrt{16 +196 + 0$

$d =\sqrt{212}$

$d = 2\sqrt{53}$

This is the diameter

To find the radius, r

From $Radius = \frac{Diameter}{2}$

$Radius = \frac{2\sqrt{53} }{2}$

∴ $Radius = \sqrt{53}$

r = $\sqrt{53}$

Now, we can write the standard equation of the sphere since we know the center and the radius

Center of the sphere is $(5, 5, 4)$

Radius of the sphere is $\sqrt{53}$

The equation of a sphere of radius r and center $(h,k,l)$ is given by

$(x-h)^{2} + (y-k)^{2} + (z-l)^{2} = r^{2}$

Hence, the equation of the sphere of radius $\sqrt{53}$ and center $(5, 5, 4)$ is

$(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = \sqrt{(53} )^{2}$

$(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53$

This is the standard equation of the sphere

6 0

3 years ago

Find the value of x to the nearest tenth tan x =5

tankabanditka [31]

Answer:

x ≈ 78.7° (in degree)

x ≈ 1.4 (in radians)

Step-by-step explanation:

Given in the question an equation

tan(x) = 5

x = $tan^{1}(5)$

x = 78.69

x ≈ 78.7°

In radian:

x ≈ 1.4

4 0

3 years ago

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A fast food restaurant sells two sizes of fries, small and large. On Friday they sold 24 fries

mihalych1998 [28]

Answer:

5:1

Step-by-step explanation:

So, we know that 20 fries were large, and 4 were small. So, we just set it up as 20:4 <em>(for every 20 large fries, there are 4 small ones)</em>. However, it needs to be simplified which results in 5:1.

Hope I helped!!

7 0

2 years ago