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oksian1 [2.3K]
1 year ago
10

A semicircle is drawn next to the base of an isosceles triangle such that its diameter is perpendicular to the triangle's

Mathematics
1 answer:
irina1246 [14]1 year ago
7 0

The total area of the semicircle and triangle is 30 + 4.5π .

The diameter of the semicircle is perpendicular to the base of the triangle.

Given diameter length = 6 cm

radius = 6 /2 = 3cm

Area of the semicircle = 1/2 πr² = 1/2π3² = 4.5π

height of the triangle = 10 cm

Area of the triangle = 1/2 × 6 × 10 =30cm

Total area of the figure = 30 + 4.5π

hence the total area of the resulting figure is 30 + 4.5π

A semicircle with one locus of points is referred to as a half-circle in mathematics, more specifically geometry. A semicircle's complete arc is always equal to 180 degrees, radians, or a half-turn.

It only contains one reflectional symmetry line. A half-disk, a twofold geometric entity that includes both the circumferential segment from one end of the arc towards the other and all the inner points, is typically referred to as a "semicircle" in non-technical language.

Disclaimer: The complete question is :

A semicircle is drawn next to the base of an isosceles triangle such that its diameter of 6 cm is perpendicular to the triangle's altitude of 10 cm

To learn more about semicircle visit:

brainly.com/question/29393120

#spj9

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WILL MARK BRIANLIEST!
gayaneshka [121]

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

7 0
3 years ago
9. In a school, there are 120 students in a particular year group. Out of those students, 100 study
Tresset [83]
This does not make any sense I don’t know how to help you out sorry
6 0
2 years ago
The sum of the ages of two people is 32. The difference is their ages is 4. What is the age of the younger person ?
Gala2k [10]
I believe the answer is 12
5 0
3 years ago
Read 2 more answers
Solve the proportion 35/30 = 28/?<br> A. 48<br> B. 23<br> C. 24<br> D. 46
koban [17]

Answer:

C. 24

Step-by-step explanation:

by algebra:

let "?" be x

35/30 = 28 / x   (multiply both sides by 30)

35 = (28/x) (30)   (multiply both sides by x)

35x = (28)(30)

35x = 840  (divide both sides by 35)

x = 840 / 35

x = 24

6 0
3 years ago
Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Whic
Ad libitum [116K]

Answer:

y = -\frac{1}{5}x + 5

Step-by-step explanation:

Given

5\ minutes = 4\ miles

15\ minutes = 2\ miles

Required

Determine the equation

y represents distance

x represents time

So, the given parameters can be modeled (x,y) as:

(x_1,y_1) = (5,4)

(x_2,y_2) = (15,2)

First, we need to determine the slope of the function.

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2 - 4}{15 - 5}

m = \frac{-2}{10}

m = -\frac{1}{5}

The equation can be determined using:

y - y_1 = m(x - x_1)

Where

m = -\frac{1}{5}

(x_1,y_1) = (5,4)

y - y_1 = m(x - x_1)

becomes

y - 4 = \frac{-1}{5}(x - 5)

Open bracket

y - 4 = -\frac{1}{5}x + 1

Solve for y

y = -\frac{1}{5}x + 1 + 4

y = -\frac{1}{5}x + 5

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3 years ago
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