Answer:
Step-by-step explanation:
we know that
The scale is
That means
2.4 cm in the model represent 1 foot in the real
In this problem
The restaurant is 20 feet tall
Find the height of the model
Multiply the actual height of the restaurant by the scale 2.4
A bottle cap is 1.2 cm tall
To find out the number of bottle caps divide the height of the model by 1.2
Answer:
x = 16
Step-by-step explanation:
(5x + 12)° + (6x - 8)° = 180°
(5x + 12 + 6x - 8)° = 180°
(11x + 4)° = 180°
11x + 4 = 180
11x = 180- 4
11x = 176
x = 176/11
x = 16
Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so
we have that the base and the height of triangle is equal to the radius of the circle
substitute
simplify
Factor 36
Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to
substitute the given values
Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to
simplify
Find the perimeter
simplify
Factor 6
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
2x+1=13 x=6 so an ok answer would be: 2x+10=40 x=15