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JulsSmile [24]
2 years ago
9

In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.

Mathematics
1 answer:
fenix001 [56]2 years ago
4 0

Answer:

43°

Step-by-step explanation:

A triangle has a total angle of 180° and we can use it to find the answer.

The attachment is a visualization of the triangle.

In order to find angle T, we can use the triangle formula to find t.

{180}^{o} = r + s + t

By substituting r and s, we will get

{180}^{o}  =  {85}^{o}  +  {52}^{o}  + t

Hence, we can find T, which is

t =  {180}^{o}  -  {85}^{o}  -  {52}^{o}  =  {43}^{o}

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Rationalize the denominator of 4/14 root 2?
Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

5 0
3 years ago
Pls help me ............
Alex73 [517]

Answer:

7

Step-by-step explanation:

2v ÷ e + 3

we want to find the value of the expression when v = 10 and e = 5

to do so we substitute the values into the expression

2v ÷ e + 3

==> substitute 10 for v and 5 for e

2(10) ÷ 5 + 3

We now evaluate using bpemdas

==> multiply 2 and 10

20 ÷ 5 + 3

==> divide 20 by 5

4 + 3

==> add 4 and 3

= 7

6 0
2 years ago
On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling
ASHA 777 [7]

Answer:

Shape of Triangular sail is Obtuse Angled Triangle.

Step-by-step explanation:

The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!

Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft

To find: Shape of Sail .i.e., shape of triangle

We use a result which states that

if a , b  , c are sides of triangle where c is greater then a & b.

now, if c² < a² + b² then triangle is Acute angled

if c² = a² + b² then triangle is Right angled

if c² > a² + b² then triangle is Obtuse angled

here a = 7 , b = 7 &  c = 15

c² = 15² = 225

a² + b² = 7² + 7² = 49 + 49 = 98

since, c² > a² + b²

⇒ Triangle must be Obtuse Angled.

Therefore, Shape of Triangular sail is Obtuse Angled Triangle.

7 0
3 years ago
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Christa wrote 1 page in 2/3 hour. Which is Christa's writing rate per hour?
Fantom [35]

Answer:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

3 0
2 years ago
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Lana71 [14]

Answer:

B. (0,-1)

Step-by-step explanation:

see.. i'm not rude.... :/

6 0
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