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11 months ago

What is the value of a?

Mathematics

1 answer:

Anna007 [38]11 months ago

5 0

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

$a = \sqrt{225}$

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

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In a rectangular coordinate plane what is the distance between points (-3,0) and (3,8)

zheka24 [161]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(3-(-3))^2+(8-0)^2}}\\\\ \mathsf{d=\sqrt{(3+3)^2+(8)^2}}\\\\ \mathsf{d=\sqrt{(6)^2+64}}\\\\ \mathsf{d=\sqrt{36+64}}\\\\ \mathsf{d=\sqrt{100}}\\\\ \underline{\mathsf{d=10}}$

The answer is 10 uc.

8 0

2 years ago

3(x+9)-4x=11x-13x+23

adoni [48]

Answer:

$\huge\boxed{x=-4}$

Step-by-step explanation:

$3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4$

7 0

2 years ago

Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo

Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

Remember: to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of.

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷ 100 = 0.07

0.07 x 118.99 8.3293 or $8.33

118.99 + 8.33 = 127.32

This is the final total of how much the skateboard would cost.

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0

2 years ago

If x equals 7, then find the matching value for y. -2x-2y=-2

mihalych1998 [28]

Y = -6.
-2(7)-2y=-2

-14-2y=-2

you need to move -14 to the other side by canceling out -14 with +14, and add +14 to -2, giving you -2y=12. -2/12=-6

7 0

2 years ago

Which of the following coordinates are not correctly named based on the image?

timama [110]

Answer:

Hi, there the answer is (4,2)

Step-by-step explanation:

The reason is that 4 is the y-axis and 2 is the x-axis and

the rule is x is first then y

The correct format for writing this it is supposed to be (2,4).

Therefore, your answer will (4,2)

3 0

2 years ago