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Finger [1]
3 years ago
6

What is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
6 0

<u><em>Answer: =50 </em></u>

<u><em>Explanation: An unknown leg of a right triangle can be found using the Pythagorean theorem. Pythagorean theorem: a²+b²=c²</em></u>

a²=14²+48²

a²=14²=14*14=196

a²=48²=48*48=2304

a²=196+2304

a²=196+2304=2500

a²=2500

a²=(25*100)=2500

a=5*10=50

<u><em>A=50</em></u>

<u><em>Hope this helps!</em></u>

<u><em>Thanks!</em></u>

<u><em>Have a great day!</em></u>

Irina-Kira [14]3 years ago
3 0
14^2+48^2=x^2
196+2304=x^2
2500=x^2
x=50
hypotenuse equals 50
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On a map, 1 inch equals 25 miles.Two cities are 3 inches apart on the map.What is the actual distance between the cities?
SVEN [57.7K]

Answer:

75 miles

Step-by-step explanation:

We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.

Another way to think about it (more complicated):

you can represent ratios as a fraction

so we do 1/25=3/x

To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!

you can also do it in a different way

same scenario though

you represent it as a fraction

and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.

Please let me know if you have any questions.

5 0
3 years ago
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You are spreading fertilizer on a golf course at the rate of 40 pounds per 10000 square feet. If the course is 320 acres, how ma
MatroZZZ [7]
I believe the answer is 18,295.2 tons of fertilizer.
6 0
4 years ago
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
If I run 6 miles per hour. How fast do I run in km per minute?
Firdavs [7]
9.66 - you just multiple 6 by 1.61
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3 years ago
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3c - b = 2a solve for c
alekssr [168]

Answer:

c = \frac{2a + b}{3}

Step-by-step explanation:

3c - b = 2a \\ 3c = 2a + b \\   \frac{3c}{3}  =  \frac{2a + b}{3}  \\ c = \frac{2a + b}{3}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em>

<em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>another</em><em> </em><em>questions</em><em>:-)</em>

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3 years ago
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