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vlabodo [156]
2 years ago
8

Half a number minus nineteen

Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

Answer:

1/2x-19

Step-by-step explanation:

I used "x" for a number and a half can be divided by 2, multiplied by or .5, or times 1/2 which is what I normally do. Then minus nineteen is -19.

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Given:
diamong [38]

Answer:

10-5\sqrt{2}

Step-by-step explanation:

As per the attached figure, right angled \triangle MDL has an inscribed circle whose center is I.

We have joined the incenter I to the vertices of the \triangle MDL.

Sides MD and DL are equal because we are given that \angle M = \angle L = 45 ^\circ.

Formula for <em>area</em> of a \triangle = \dfrac{1}{2} \times base \times height

As per the figure attached, we are given that side <em>a = 10.</em>

Using pythagoras theorem, we can easily calculate that side ML = 10\sqrt{2}

Points P,Q and R are at 90 ^\circ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of  \triangleMIL, \triangleMID and \triangleDIL.

Also,

\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL

\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2

So, radius of circle = 10-5\sqrt2

8 0
2 years ago
Michelle and Natalie both went out to eat at a new restaurant. Michelle's bill was $22.50, and she left a 15% tip. Natalie's bil
Sindrei [870]
I personally think Natalie's bill is the greatest because $24.25 × 10 =x
6 0
3 years ago
PLEASE HELP MEE RN! DUE IN 5 MINS SHOW YOUR WORK PLEASE
77julia77 [94]

Answer:

x = 0

y = -12

Step-by-step explanation:

Plug in what y is equal to into the second equation

-3(x - 12) = 2x + 36

Distribute the -3

-3x + 36 = 2x + 36

      -36           -36

-3x = 2x

They cannot be equal so x = 0

Plug in 0 into the y equation

y = 0 - 12

y = -12

5 0
2 years ago
If (92)p = 98, what is the value of p?
AlladinOne [14]
P=1.065222217391304348
8 0
2 years ago
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Hello. does anyone need help with math, i would be more than glad to help
garri49 [273]
Yes.
mr tate buys 39 t-shirts for his class. the t shirts cost $5 each. He uses this number sentence to find out the total.cost: 30 x 5 = 150 Which problem can be used to check Mr. Tate's answer?

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