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3 years ago

__ Given: AD diameter of circle P.

Mathematics

2 answers:

ruslelena [56]3 years ago

6 0

If I'm reading it right it is 15

Brut [27]3 years ago

5 0

Arcs get their angle measurement from the central angle they're in.

in this case the arcAB has a central angle of ∡1, and if ∡1 = 30°, the arcAB is the same.

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Jackson Middle School has 4 students in choir for every 1 student in band. If there are 48 students in band, how many students a

olchik [2.2K]

I believe it is 192 because 48*4 is 192

4 0

3 years ago

X=y x+2y =3 Solve using substitution

Zielflug [23.3K]

Answer:

Therefore the Final Solution is

x = 1 and y = 1

Step-by-step explanation:

Given:

$x=y$ ...............Equation ( 1 )

$x+2y=3$ ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Equating Equation ( 1 ) in Equation ( 2 ) we get

$y+2y=3\\\\3y=3\\\\y=\frac{3}{3} \\\\\therefore y =1$

Now Substituting y = 1 in Equation ( 1 ) we get

$x =1\\\\\therefore x=1$

Therefore the Final Solution is

x = 1 and y = 1

3 0

2 years ago

The table represents the speed of Frog A at a frog-jumping contest. Frog B travels 2 feet each second. If the course is 20 feet

Black_prince [1.1K]

Answer:

Frog b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

7 0

3 years ago

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

7 0

3 years ago