Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?

Find the area of the bigger triangle (will give brainlest)

schepotkina [342]

Answer: a. 90

Step-by-step explanation: plz give me brainliest

6 0

3 years ago

A recycling plant recycled 4.9 kg of paper and cardboard the first hour and 7.8 kg/h

Daniel [21]

Answer: R = {0kg, 59.5kg}

Step-by-step explanation:

When we have a function f(x) = y.

The set of the possible values of x is called the domain of the function, and the set of the possible values of y is called the range of the function,

In this case, we have that:

the plant recycled 4.9kg the first hour, and 7.8 kg per hour after.

So this function can be written as piecewise function, with one part for the first hour, and another part for the time after the first hour.

F(x) = 4.9kg*x if 0h < x ≤ 1h

F(x) = 4.9kg + 7.8kg/h*(x -1) if x ≥ 1h

We use (x - 1) for the second part because if x = 1 h, we must have the same result in both parts of the function.

Where x is the number of hours.

And we know that the domain is (0hours, 8 hours)

Then the minimum value of y will be:

F(0h) = 4.9kg*0h = 0kg.

And the maximum value in the range will be:

F(8h) = 4.9kg + 7.8kg*7 = 59.5kg

Then the range is:

R = {0kg, 59.5kg}

7 0

3 years ago

If a line has a slope of 2 and contains the point (-2, 1), what is its equation in point-slope form?

Ivanshal [37]

Point slope form is y-y1= m(x-x1) where m is slope and y1 and x1 are the x and y of the coordinate given.

y-1= 2(x-(-2))
y-1= 2(x+2)

Final answer: y-1= 2(x+2)

8 0

3 years ago

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°

KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

$\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

So, we can use the latter parts to solve this

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

B = ?

b = 4.0

C = 58°

c = 3.5

$\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}$

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

7 0

2 years ago

What is the answer to this question

r-ruslan [8.4K]

The mass of the yohgurt should be 61.4 repeated or 61.

7 0

4 years ago