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2 years ago

1. What is the sine ratio of ∠C?

Mathematics

1 answer:

Elenna [48]2 years ago

8 0

Answer:

1. Sine ratio of angle ∠C = 12/13

2. cos ratio for ∠C = 6/10

Step-by-step explanation:

1. sin = perpendicular /hypotuse

=> 12/13

2. cos = base / hypotuse

=> 6/10

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Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

3 years ago

What is perpendicular to y=-1/2x+11

ratelena [41]

You have to find the reciprocal of the gradient - 1/2
And to do that just flip the sign and fraction:
-1/2
1/2
2/1

So the answer is,
Y = 2x + 11

3 0

3 years ago

Help please! Find perimeter and Area

MatroZZZ [7]

Answer:

P = 70 mi A = 210 mi^2

Step-by-step explanation:

Sides:

a = 29 m

b = 20 m

c = 21 m

Angles:

A = 90 °

B = 43.6028 °

C = 46.3972 °

Other:

P = 70 m

s = 35 m

K = 210 mi^2

r = 6 m

R = 14.5 m

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

SSS is Side, Side, Side

Heron’s formula says that if a triangle ABC has sides of lengths a, b, and c opposite the respective angles, and you let the semiperimeter, s, represent half of the triangle’s perimeter, then the area of the triangle is

7 0

2 years ago

Juliette is making a fruit salad.she purchased 9 2/3 ounces each of 6 different fruits . how many ounces of fruit did she purcha

Anettt [7]

9 2/3 total ounces is a total split up among 6 fruits.

So we need to divide 9 2/3 among the 6 fruits.

= 9 2/3 divide 6

= change 9 2 / 3 in improper fraction
= 9*3 + 2/3

= 29/3 divided by 6/1

= 29/3 x 1/6

= 29/18, change that to mixed fractions.

The answer is 1 11/18 ounces of each fruit.

3 0

3 years ago

En un examen calificado del 0 al 10, 3 personas obtuvieron 5 de nota, 5 personas obtuvieron 4 de nota, y 2 personas obtuvieron 3

Nastasia [14]

Answer:

Media = 4.1

Mediana = 4

Moda = 4

Step-by-step explanation:

3 personas obtuvieron 5 puntos

5 personas obtuvieron 4 puntos

2 personas lograron 3 puntos

a. La media se da como:

Media = suma total de marcas / número de personas

Por lo tanto, la media será:

$M = \frac{((3 * 5) + (5 * 4) + (2 * 3)}{10}\\ \\M = \frac{15 + 20 + 6}{10} \\\\M = \frac{41}{10}\\ \\M = 4.1$

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.

3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Como no hay un número único en el medio, la mediana es:

(4 + 4) / 2 = 8/2 = 4

c. La moda es el número que aparece más, y eso es 4

8 0

3 years ago