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4 years ago

What Is SU when ST = 20 and TU = 8

Mathematics

2 answers:

tankabanditka [31]4 years ago

8 0

Answer:28

Step-by-step explanation:

Lisa [10]4 years ago

7 0

SU will be 14 is the answer

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51 is 0.3% of what number? Would you expect the answer to be a lot less than 51, slightly less than 51, slightly greater than

Semenov [28]

51 Is 3% Of 1,700. I Would Expect This Number To Be A Lot Greater Than 51 Because Its Only A Smaller Percent Of The Larger Number.

8 0

3 years ago

Write in standard notation. 6.12 x 103<br> 6,120<br> 612<br> 61,200<br> 61.2

maks197457 [2]

Answer:6120

Step-by-step explanation:

take the decimal in 6.12 and move it to the right three times and thats how I got the answer

8 0

3 years ago

From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n

levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

$BD^2 = BD'^2 + DD'^2$

$BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9$

Hence, the hikers are 5.9 miles apart.

8 0

3 years ago

Solve the question in the picture and write the correct answer

zlopas [31]

Answer:

36.24 cm²

Step-by-step explanation:

The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.

One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.

<h3>Side Length</h3>

To make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.

CA² = CE² +AE²

CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6

CA = √136 = 2√34

<h3>Radius</h3>

Now we can write the proportion using the angle bisector theorem.

DE/CE = DA/CA

r/6 = (10 -r)/(2√34)

r√34 = 3(10 -r) . . . . . . . multiply by 6√34

r(3 +√34) = 30

r = 30/(3 +√34)

From this, we can find the area of the shaded circle to be ...

A = πr² = (3.14)(30/(3 +√34))²

= 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²

The area of the shaded region is about 36.24 cm².

_____

<em>Additional comment</em>

Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...

$r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}$