MATHEMATICS HIGH SCHOOL

What is the value of b in this diagram?

Answers

Answer 1

Answer: 12/ sin(113.17) = b/ sin (37.81)
so b= 8

Answer 2

Answer:

Answer:

8 for plato users its D

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Factor completely 5a2 + b.Prime

a(5a + b)

b(5a2)

ab(5a + 1)

Answers

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

$\left[\begin{array}{ccc}Prime\end{array}\right]$ is the correct answer.

Find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)

Answers

Answer:

y = 3x+5

Step-by-step explanation:

$(2,11)=(x_1,y_1)\ny =3x-2\nm = 3\n\nSubstitute \:values\:into \:point \:slope\:form\ny-y_1=m(x-x_1)\ny-11=3(x-2)\ny-11=3x-6\ny=3x-6+11\ny = 3x +5$

What is the standard form of two and twelve hundredths

Answers

2.12 that's the answer

a basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so that the ratio is 1:3

Answers

The answer to this question would be 12 cloth: 36 cloth

In this question, you are asked to divide the clothing into 1:3 ratio. That mean, you need to divide the clothing into 4 parts (1+3), then put 1 part in one basket and 3 parts in other baskets. The calculation would be:

Basket 1= 48 cloth * 1/(1+3)= 12 cloth
Basket 2= 48 cloth * 3/(1+3)= 36 cloth

Answer:

Step-by-step explanation:

1+3=4

so 48/4=12

Crater Lake Oregon is a roughly circular lake. The lake basin formed about 7000 years ago when the top of a volcano exploded in an immense explosion. Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2). Find the coordinates of the center of the lake.

Answers

To solve the problem we must find the equation of the circumference of the form:
(Xa) ² + (Yb) ² = r²
They do not give us the center or the radio, but we have 3 points.
With the points H (-4,1), G (-2, -3) and C (5, -2) we find 3 equations
1) (-4-a) ² + (1-b) ² = r²
2) (-2-a) ² + (-3-b) ² = r ²
3) (5-a) ² + (-2-b) ² = r ²
Now we have a system of 3 equations with 3 unknowns: r, a, b
When solving the system we have to:
r = 5
a = 1
b = 1
Therefore, the center of the circumference of the lake is the point (a, b)
That is, the point (1,1)

Answer:

The coordinates of the center of the lake are $((-1)/(3),(-4)/(3))$ .

Step-by-step explanation:

It is given that Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2).

If we joint these points, then we get a triangle and the center of a triangle is known as centroid.

The formula for centroid of a triangle is

$Centroid=((x_1+x_2+x_3)/(3),(y_1+y_2+y_3)/(3))$