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AleksandrR [38]
3 years ago
13

A scarf is a triangle with two perpendicular sides that are the same length. Which two terms describe the triangular scarf? A. i

sosceles, right B. isosceles, acute C. isosceles, obtuse D. equilateral, acute
Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Answer:

A triangular scarf is an isosceles right triangle.

Step-by-step explanation:

Given: A scarf is a triangle with two perpendicular sides that are the same length.

We have to name which two terms describe a triangular scarf.

Isosceles triangle is a triangle with length of two of its sides equal.

Right angled triangle is a triangle in which one angle is a right angle.

Given :

The two sides of scarf are perpendicular to each other.

Thus, the angle formed between them is 90°. Hence, right angled triangle.

Also, length of two sides are same, Hence isosceles triangle.

Thus,a triangular scarf is an isosceles right triangle.

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Solve triangle ABC if a=10, b= 11, c=17
Svet_ta [14]

Answer:

38

Step-by-step explanation:

it is quite simple so try to solve it

3 0
2 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
Jerome will also order t-shirt for the volunteers he will order both adults and child size t shirt
RideAnS [48]

a >= 200

5 a + 2.5 c <=1500

Step-by-step explanation:

Step 1 :

Let c be the number of child t shirt and a be the number of adult t-shirts

Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50

Step 2 :

Inequality 1

Given that Jerome needs at least 200 adult t-shirts .

So the minimum quantity of adult t-shirts should be 200

Hence we have a >= 200

Step 3 :

Inequality 2

Given that the total cost should be less that $1500

We have,

5 a + 2.5 c <=1500

5 0
2 years ago
Read 2 more answers
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
Dima020 [189]

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

5 0
2 years ago
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