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Zarrin [17]
3 years ago
13

HELP ME SOLVE THIS ASAP

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

∠B = 60°

a = 4.0 units

b = 6.9 units

Step-by-step explanation:

The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.

The 3 angles are 90, 30 , ∠B .

<em>90+30+B = 180</em>

Thus, B = 180 - 120 = 60 degrees

by trigonometry,

sin(30) = \frac{a}{8} = 0.5

a = (8)(0.5) = 4 units

Also,

cos(30) = \frac{b}{8} = 0.866

b = (8)(0.866)= 6.928

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4 0
2 years ago
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The diagram shows a sector of a circle radius 10cm
Yuki888 [10]

Answer:

\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}

Step-by-step explanation:

\text{Perimeter of the sector = Radius + arc length + radius}

\text{Radius = 10 cm}

\text{Perimeter of the sector = 10 + arc length + 10  }

 \text{Perimeter of the sector = 20 + arc length  }

\text{arc length   = (sector angle/ 360 ) * perimeter of the circle}

\text{Perimeter of a circle }=2\pi r

\text{sector angle} = 135

\text{arc length}   =  (135/ 360 ) * 2\pi (10)

= (3/8) 20\pi

= 15\pi /2

\text{Using  }\pi =3.14

= 15 * 3.14 /2

= 23.55

\text{Perimeter of the sector = 20  + 23.55}

= 43.55

= 43.6  cm

\text{perimeter of the sector  = 43.6  cm }

8 0
2 years ago
The table shows ordered pairs for a polynomial function, f. What is the degree of f?
Kazeer [188]

Answer:

5th degree

Step-by-step explanation:

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4 0
2 years ago
What does it mean to say that two variables are positively​ associated?
stealth61 [152]

Answer:

Option A is correct.

Step-by-step explanation:

Correlation coefficients tell us how strongly the two variables are associated.

A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.

When the correlation coefficient is greater than 0, this means that both variables are correlated.

So, the answer here will be :

A. There is a linear relationship between the​ variables, and whenever the value of one variable​ increases, the value of the other variable increases.

3 0
3 years ago
3/7•d=9/14 in this<br> Problem you want to find what d equals
sertanlavr [38]
<u>→ Chapter : Fractions ←</u>
<u><em>≡ We know that:</em></u>
⇔ (\frac{a}{b}) \div (\frac{c}{d})=(\frac{a}{b}) \times (\frac{d}{c})

<u><em>≡ Solution:</em></u>
⇒ (\frac{3}{7}) \times (d)=\frac{9}{14}
⇒ d=(\frac{9}{14}) \div (\frac{3}{7})
⇒ d=(\frac{9}{14}) \times (\frac{7}{3})
∴ \boxed{\frac{3}{2}}
7 0
3 years ago
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