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2 years ago

HELP! Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the

Mathematics

1 answer:

allochka39001 [22]2 years ago

4 0

Answer:

Step-by-step explanation:

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In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the po

sukhopar [10]

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

$\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m$

Distance between Poles is 20.71 m

6 0

3 years ago

A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0

3 years ago

Read 2 more answers

If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg

Nadya [2.5K]

Answer:

The length of the other leg is $3.21\ units$

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

The area of a right triangle is equal to

$A=\frac{1}{2}(a)(b)$

where

a and b are the legs of the triangle

In this problem we have

$a=39.2\ units$

$A=63\ units^{2}$

substitute the values

$63=\frac{1}{2}(39.2)(b)$

$126=(39.2)(b)$

$b=126/(39.2)=3.21\ units$

7 0

3 years ago

Amanda canoed 15 3/4 miles in 3 hours. What was her average rate of speed in miles per hour?

MaRussiya [10]

Answer:
5 1/4 miles per hour.

Explanation:

We first convert 15 3/4 to 15.75.

miles/hour

15.75/3 =5.25 miles per hour

5.25= 5 1/4

7 0

3 years ago

you have a 4x6 photo of you and your friend. You order a 5x7 print of the photo. Is the new photo similar to the original?

beks73 [17]

No because 4 times 6 =24 and 5 times 7 =35

5 0

3 years ago

Read 2 more answers