Give an example of a monomial and a binomial having degrees as 82 and 99, respectively.

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

So that;

$7^{2}$ = $6^{2}$ + $(6.5)^{2}$ - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

= 29.25

Cos C = $\frac{29.25}{78}$

= 0.375

C = $Cos^{-1}$ 0.375

= 67.9757

C = $68^{o}$

Apply the Sine rule to determine the value of B,

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{6.5}{Sin B}$ = $\frac{7}{Sin 68}$

SIn B = $\frac{6.5 *Sin 68}{7}$

= 0.861

B = $Sin^{-1}$ 0.861

= 59.43

B = $59.4^{o}$

Thus to determine the value of A, we have;

A + B + C = $180^{o}$

A + $59.4^{o}$ + $68^{o}$ = $180^{o}$

A = $180^{o}$ - 127.4

= 52.6

A = $52.6^{o}$

Therefore the sizes of the internal angles of the triangle are: A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

#SPJ1

8 0

2 years ago

School pennants cost $18 each. Ms.Lee says she will pay $146 for 7 pennants. Is her answer reasonable?

crimeas [40]

Well, all we have to do to figure out if Ms. Lee’s offer is reasonable is multiply the unit price ($18) by 7

18 x 7 = 126

Since she offered $146, she could actually purchase 8 pennants for $144

Therefore, her answer wouldn’t be reasonable

Hope this helps you

Brainliest would be appreciated!

-AaronWiseIsBae

3 0

3 years ago

Based on given information for each of the following, which lines cannot be parallel? a m∠2=127°, m∠3=63°\ PLZZSZZZ help :>

tia_tia [17]

Answer:

Lines m and n cannot be parallel

Step-by-step explanation:

1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.

2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180

3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel

4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel

7 0

3 years ago

Please come answer this, I need help asap

Vadim26 [7]

Answer:

26

Step-by-step explanation:

To evaluate this expression, all we have to do is substitute the given values of the variables into the expression. That is, replace every $m$ in the expression with a $1$ and every $p$ in the expression with a 5.

Doing so, we get:

$p^{2} +m$

$=5^{2} +1$ (Substitute given values into the expression)

$=25+1$ (Evaluate exponential term)

$=\bf26$ (Add)

Hope this helps!

8 0

3 years ago

Need answers ASAP! 7th Grade math!

kari74 [83]

Another way to name an angle is by the point where the angle is, so in your question, it is <F
Whenever they say <ABC (any random letters), the middle letter is another way to name it

7 0

3 years ago

Give an example of a monomial and a binomial having degrees as 82 and 99, respectively.​

Give an example of a monomial and a binomial having degrees as 82 and 99, respectively.