1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
2 years ago
15

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following

Mathematics
1 answer:
AveGali [126]2 years ago
8 0

Answer:

2.4

Step-by-step explanation:yhyh

You might be interested in
Parabolas. Please help me
olganol [36]
  1. x² = 16 y
  2. x = 0
  3. (x + 4)² = 2/3 (y - 2)
  4. Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>
  5. (y - 6)² = 4p (x - 3)

Step-by-step explanation:

1. First figure

We plot the parabola as given in the attached diagram.

As it is facing upwards, the equation goes as x² = 4py

where, p = 4 (refer the attached diagram)

x² = 4py

x² = 4 (4) y

∴, standard form of parabola is x² = 16 y

2. Second figure

(y + 3)² = 4 (x - 1)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

h = 1

p = 1

Directrix is x = (h - p)

So, x = 0

3. Third figure

3x² + 24x - 2y + 52 = 0

3x² + 24x = 2y - 52

3 (x² + 8x) = 2 (y - 26)

(x² + 8x) = 2 (y - 26) / 3

Adding 16 on both sides,

x² + 8x + 16 = 2 (y - 26) / 3 + 16

(x + 4)² = 2/3 y - 52/3 + 16

(x + 4)² = 2/3 y - 4/3

(x + 4)² = 2/3 (y - 2)

4. Fourth figure

(y + 1)² = 12 (x - 3)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

k = -1

h = 3

p = 3

Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>

5. Fifth figure

Focus = (2, 6)

Directrix is x = 4

Therefore, it follows the standard form

(y - k)² = 4p (x - h)

Directrix is given by x = h-p = 4

Focus is given by (h + p, k) = (2, 6)

Solving for (h - p) = 4, (h + p) = 2

2 - p - p = 4

-2p = 2

p = -1

Hence, h = 3

Therefore, the standard form can be written as

(y - 6)² = 4p (x - 3)

7 0
3 years ago
(110×110×110×110)2=?
sveticcg [70]

Answer:

2.9282 × 10^8

Step-by-step explanation:

(110×110×110×110)2

(146410000)2

292820000

292820000  can be simplified to 2.9282 × 10^8.

Hope this helps.

7 0
3 years ago
Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?
BaLLatris [955]

9514 1404 393

Answer:

  D)  Rhombus

Step-by-step explanation:

The figure is a parallelogram with equal-length sides, so is a rhombus.

8 0
2 years ago
Area of a trapezium is 31.5cm. If the parallel sides are of lengths 7.3cm and 5.3cm. Calculate the perpendicular distance betwee
Anna11 [10]

Answer:

5cm

Step-by-step explanation:

Given area of trapezium = 31.5 sq. cm

Length of parallel sides = 7.3cm and 5.3cm

Formula to calculate area of trapezium is

1/2*(sum of parallel sides)*perpendicular distance between parallel sides

sum of parallel sides =  (7.3 + 5.3) = 12.6cm

substituting value of area given and sum of parallel sides we have

31.5 = 1/2* 12.6 * perpendicular distance between parallel sides

(31.5 * 2)/12.6 = perpendicular distance between parallel sides

perpendicular distance between parallel sides = 63/12.6 = 5

Therefore perpendicular distance between parallel sides for given trapezium is 5cm.

5 0
3 years ago
John is driving to his office to attend a meeting. In the first 10 minutes, he covers a distance of 1 mile every minute. Then he
Georgia [21]

Answer:

The total distance cover by John is 15 min to reach his office .

Step-by-step explanation:

Given as ;

In the first 10 minutes , the distance cover is 1 miles every minutes

So, for 10 minutes , total distance cover by John = 10 × 1 = 10 miles

Again ,

John cover distance of 0.5 miles for every minutes , he travel for next 10 min

So, for next 10 min, total distance cover by John = 10 × 0.5 = 5 miles

So, The total distance cover by john = 10 miles + 5 miles = 15 miles

Hence The total distance cover by John is 15 min to reach his office . Answer

5 0
3 years ago
Other questions:
  • A social science book comprise of two sections: geography and civics in the ratio 4:3. How much of each type of content will be
    7·1 answer
  • A VCR is programmed to record a TV show that lasts for half-hour. If the cassette tape accommodate 180 min. what percent of tape
    15·1 answer
  • Finding the sum. imaginary numbers! hellpp
    14·1 answer
  • Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is
    13·1 answer
  • Point B is on line segment AC. Given BC
    6·1 answer
  • What is the partial product for 43x17
    15·1 answer
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
    7·2 answers
  • What is seven eighths minus one fourth
    15·2 answers
  • What additional piece of information would prove DABD ≅ DCBD?
    11·1 answer
  • ANS WER AS SOON AS POSSIBLE <br> AND I WILL MARK U AS BRAINLIST
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!