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mr_godi [17]
2 years ago
13

Help Please!! What is the value of a? Enter your answer in the box. a =

Mathematics
1 answer:
Talja [164]2 years ago
6 0

Answer:

a=15

Step-by-step explanation:

By pythagoras' theorem

25²=20²+a²

625=400+a² group like terms

a²=625-400

a²=225

\sqrt{a {}^{2} }  =  \sqrt{225}

therefore a=15

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Could someone explain how to do this, I have no idea how...
alexira [117]

Answer:

2a²

Step-by-step explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>

Now we have 2a²

7 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
BabaBlast [244]

Hey!

Weight of small box = 5 lb. x no. of small boxes total weight = 5*x

Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y

Total weight = 5x + 12y.

Since total weight carrying capacity of shelf is 80, thus the inequality becomes:

5x + 12y Less than or equal to 80.

(a) satisfies the inequality.

(b) satisfies the inequality.

Hope my answer helps!

7 0
3 years ago
Write and solve a system of equations for this question please
andre [41]
Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s  we will use this in the second equation....

2(b+s)=30

b+s=15, now use b found above in this to get:

9+s+s=15

2s+9=15

2s=6

s=3, and since from earlier b-s=9, b=9+s so

b=12

So the speed of the boat is 12mph and the stream is 3 mph
6 0
3 years ago
Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is
amm1812
\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)

\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3
\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2
\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

\implies f(x,y,z)=3xy^2z^3+C

The potential function exists, so \mathbf f is indeed conservative.
7 0
3 years ago
What are the values of x and y in the diagram?
deff fn [24]
X and y are points that help u place other points
5 0
3 years ago
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