9h + 2 19. Given the formula E = IR what is the formula for R?
a. R = I ÷ E
b. R = EI
c. R = IE
d. R = E ÷ I

Answers

Answer 1
Answer: E= I x R divide I from both sides
E/I = R or R = E/I which is D in the answer selection.
Answer 2
Answer: Your answer is D. I hope this helps

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The hypotenuse of a right triangle is 25m long. The length of one of the legs is 10m less than twice the other. Find the length of each leg.

Answers

The dimensions of the length of the legs are 15 m and 20 m in the given right triangle.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Let x be the length of one of the legs. Then the length of the other leg is 2x-10m. We can use the Pythagorean theorem to find the lengths of the legs.

We can write this as an equation:

x² + (2x - 10)² = 25²

5x²- 40x + 100 = 625

5x²- 40x + 100 - 625 = 0

5x²- 40x - 525 = 0

Divided by 5 into the above equation,

x²- 8x - 105 = 0

After solving the above quadratic equation, we get

x = 15 and x = -7

Take x = 15 as the length of one of the legs.

So, the length of the other leg is 2(15)-10 = 20 m.

Thus, the dimensions of the length of the legs are 15 m and 20 m.

Learn more about Pythagoras's theorem here:

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(2x-10)^2+x^2=25^2
4x^2-40x+100+x^2=625
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105)=0
5(x-15)(x+7)=0
x-15=0

x=15 for the short side.
2*15-10
30-10=20 for the long side.
Proof:
15^2+20^2=25^2
225+400=625
625=625 

80,000,000 in expanded form, word form ,standard form

Answers

80,000,000 = 80,000,000 (in expanded form)
80,000,000 = eighty million (in word form)
80,000,000 = 8 x 10^7 (in standard form)

Answer:

Answer in standard form: 80,000,000

Expanded form: 80,000,000+0000000

Word form: eighty million

Step-by-step explanation:

What is the constant in the expression 8x-2y+48

Answers

48
It is the only number that isnt affected in any way

Solve picture question. Mathematics.

Answers

The slope intercept form is
y = mx + c
4x + 9y = -36

We should rearrange to keep it in y = mx + c order
And therefore we do this:

take the x to the other side

9y = -4x - 36

Divide both sides by 9 to be y alone

(9y)/(9)(4x - 36)/(9)
9 and 9 cancels out

y = -(4x)/(9) - 4

The first option is the answer

Perform the operations, multiply, and simplify.
-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b)

Answers

-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b)=\n -3a^5b^6+a^4b^5+7a^5b^2
-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b) \n \n =-3a^5b^6-(-a^4b^5)-(-7a^5b^2) \n \n =-3a^5b^6+a^4b^5+7a^5b^2

In XYZ, a right angled triangle, Z=90 degrees. Given that X=58 degrees, and XZ is 4.9m, find the length of XY

Answers

Answer:

XY ≈ 9.2 m

Step-by-step explanation:

using the cosine ratio in the right triangle

cos58° = (adjacent)/(hypotenuse) = (XZ)/(XY) = (4.9)/(XY) ( multiply both sides by XY )

XY × cos58° = 4.9 ( divide both sides by cos58° )

XY = (4.9)/(cos58) ≈ 9.2 m ( to the nearest tenth )