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iren [92.7K]
3 years ago
5

Question 3 (1 point)

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

d: 15 units squared

Step-by-step explanation:

The area of a triangle is \frac{b*h}{2}:

  • Base: 5
  • Height: 6
  • Area: (5•6)/2=30/2=15
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How does the diagram show that the slope between any
tensa zangetsu [6.8K]

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

\mathbf{slope = \dfrac{rise}{run}}

\mathbf{slope = \dfrac{\Delta y}{\Delta x}}

\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

brainly.com/question/19376563

#SPJ1

4 0
2 years ago
A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
skad [1K]

Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

A = \pi r^2

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

r^2 = 64

Area of the circle:

A = \pi r^2 = 64\pi

What is 3/4 of its area?

\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi

3/4 of the area of the circle is of 48\pi squared units.

8 0
3 years ago
What is the measure of ∠R ?
Zinaida [17]
Using the Law of Sines  (sina/A=sinb/B=sinc/C for any triangle)

sinR/30=sin96/54

sinR=30sin96/54

R=arcsin(30sin96/54)°

R≈33.5°  (to nearest tenth of a degree)
4 0
3 years ago
Read 2 more answers
St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.
Lady_Fox [76]

Answer:

3 weeks

Step-by-step explanation:

create a proportion of grass growth rate over time:

(\frac{4}{7}÷1) = (\frac{12}{7}÷x )

\frac{4x}{7} = \frac{12}{7}

cross-multiply:

28x = 84

x = 84/28 which is 3

6 0
3 years ago
Read 2 more answers
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet a
Setler [38]

Answer:

3183.96 ft^3

Step-by-step explanation:

let pi = 3.14

volume of a cylinder is base * height

find the base: (area of circle)

height is given

container A:

circle area = 530.66

multiply 530.66 by the height (13)

530.66 * 13 = 6898.58

container B:

circle area = 530.66

multiple 530.66 by the height (19)

530.66 * 19 = 10082.54

Find empty space:

10082.54-6898.58 = 3183.96

4 0
2 years ago
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