How can you tell before you divide 425 by 9 that the first digit of the quotient is in the tens place

ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2

Sunny_sXe [5.5K]

Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
$s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2$
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
$s \sqrt{2}$
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!

[ i hope by my explanations you understand how better to do special right triangles in the future] :-D

8 0

3 years ago

Read 2 more answers

NEED ANSWER ASAP

kkurt [141]

Answer:

$f(2) = 81$

$g(2) = 83$

Science class had a higher average

Step-by-step explanation:

Given

$f(x) = 0.5x + 80$

g(x) table

Solving (a): f(2)

We have:

$f(x) = 0.5x + 80$

So:

$f(2) = 0.5*2 + 80$

$f(2) = 1 + 80$

$f(2) = 81$

Solving (b): g(2)

From the given table.

$g(2) = 83$

Solving (c): f(4) or g(4); which is greater

$f(x) = 0.5x + 80$

So:

$f(4) = 0.5*4+80$

$f(4) = 2+80$

$f(4) = 82$

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

$g(x) = g(x-1)+2$

So

$g(4) = g(4-1)+2:$

$g(4) = g(3)+2$

$g(4) = 85+2$

$g(4) = 87$

<em>Hence, g(4) i.e. Science class is greater</em>

6 0

3 years ago

Write the standard equation of the circle with the given center that passes through the given point

Kitty [74]

Circle equation
(x - h)^2 + (y - k)^2 = r^2
Since radius isn't given use the center and point, with the distance formula, to find the radius.
D=sqrt((x2-x2)^2+)y2-y1)^2)
D=sqrt((1-0)^2+(2-6)^2
D=sqrt(1+16)
D=sqrt 17
radius = sqrt 17
(h, k) is the center and r is the radius
(x - 1)^2 + (y - 2)^2 = 17

5 0

3 years ago

Help please! This is hard

Nutka1998 [239]

Answer: 200°C + 273.15 = 473.15K

300K − 273.15 = 26.85°C

I hope this helps bye

7 0

3 years ago

Sam received a 15 percent tip for delivering pizzas. If the cost of the pizzas was $247.62, what was the total amount he collect

saveliy_v [14]

247.62 x 0.15 = 37.143

round to $37.14

I hope that helped :)

4 0

3 years ago