Mathematics High School

Point O is the center of the circle. What is BCA?
A) 56°
B) 62°
C) 72°
D) 76°
​

Point O Is The Center Of The Circle. What Is BCA?A) 56B) 62C) 72D) 76

Answers

Answer 1

Answer:

A) 62

Step-by-step explanation:

Answer 2

The angle of BCA is 62 degrees. thus, Option B. is correct.

What is the sum of angles of quadrilateral?

The sum of the angles of the quadrilateral is 360 degrees.

We need to find the ∠BCA:

∠OBD = 90  

∠OAD = 90  

So angles in quadrilateral BOAD

56, 90, 90 and∠ BOA

56 + 90 + 90 + ∠BOA = 360

∠BOA = 360 - 90 -90 - 56

∠BOA = 124

∠BCA is angle at circumference

∠BOA = 124, is the angle at centre

Angle at Centre = 2 x Angle at circumference

Angle at Circumference = Angle at Centre / 2 = 124/2 = 62

∠BCA = 62 degrees

thus, Option B. is correct.

Learn more about quadrilateral ;

https://brainly.com/question/13805601

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Related Questions

A boat travels 32 miles in 1 hour(with a constant speed) how far can it travel in 22 hours ( with the same speed)

Answers

Basically multiply the 32 mph with the 22 hours (since its per hour, the units carry over), and you get 704 miles!

Nick started a new job this week. The number of hours he works each week varies depending on how many clients he must meet. He earns $7.00 each hour plus a travel allowance of $50.00 each week. What is the function that represents the amount of money Nick makes each week, y, based on the number of hours worked, x?

Answers

Answer:

y= $7*x*z+50

Step-by-step explanation:

let y = amount of money Nick makes each week

x = the working hours

z = the numbers of client

Determine the domain of the following graph:

Answers

Answer:

Im not sure but I think its All real numbers

The perimeter of a regular hexagon is 78 cm .What will be the length of each side?

Answers

Answer:

13 cm

Step-by-step explanation:

78/6=13

Answer:

13cm

Step-by-step explanation:

regular means the sides are equala hexagon has 6sides78/6=13

Alex can shovel the driveway in 45 minutes if he works alone. Alex and Luisa can shovel the driveway in 20 minutes if they work together. According
to this equation, Luisa can shovel the driveway in minutes if she works alone,
How many minutes would it take Luisa to shovel the driveway if she works alone?

Answers

Answer: it would take her 25 minutes I believe

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

i need help can someone explain this simply

Answers

In order to do this, you have to use the Pythagorean Theorem which is a^2 +b^2=c^2 It does not matter in what order a and b are, but c is always the hypotenuse or the side across from the right angle. First, you substitute 24 in for a and 45 in for b so your equation so far would look like 24^2 + 45^2 = c^2 Then, you square 24 and 45 and get 576+2025=c^2 Then you add the two to get 2601=c^2 Finally, you would square root both sides and get 51=c So the width of the recycling bin is 51 inches long

S=2 (LW+Lh +Wh)
slove for (w)​

Answers

Answer:

Hello am greatly sorry for doing this but I needed to share this for clarification of the physics question.

Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton. dont answer it take the pts and leave

Answers

Answer:

OK sounds good

Step-by-step explanation:

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten

Answers

Answer:

210 Is my estimate

Step-by-step explanation:

What does j = 8j – 7 = 57

Answers

Answer:

j = 8

Step-by-step explanation:

8j - 7 = 57

8j = 64

64 / 8 = 8

Find the total surface area of the figure below:

Answers

Answer:

95

Step-by-step explanation:

Formula -

Triangle Area - 1/2bh

Square - l x w

Triangle - 5 x 7 = 35/2 = 17.5

Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70

Square  - 5 x 5 = 25

Now we add both 70 and 25 which is 95

So the total surface area is 95

Answer:

95

Step-by-step explanation:

Area of the triangles:

A = (base × height) ÷ 2A = (5 × 7) ÷ 2A = (35) ÷ 2A = 17.5Because there are 4 triangles, we can do our answer of one triangle × 4So, 17.5 × 4 = 70

Area of a square:

The sides of squares are the sameA = L × WA = 5 × 5A = 25

Put them together:

Area of triangles + area of the square = surface area70 + 25 = suface area70 + 25 = 95

I hope this helps!

what are the focus and directrix of the parabola with the equation y = 1/2 x2

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please write this as y = (1/2)x^2 for greater clarity.  (1/2) is the coefficient of x^2 here.  

The applicable form for the equation of this quadratic is 4py = x^2.  

Your y = (1/2)x^2  becomes 2y = x^2.  Therefore, 4p = 2, or p = (1/2).

Thus, the focus is (0, 1/2) (just above the vertex, (0, 0) ), and the equation of the directrix is y = -1/2.

What is the X intercept of the equation y-1= -(x+5)?

Answers

Answer:

X-intercept is -4

Step-by-step explanation:

Does this triangle have a hypotenuse of 39 feet long

Answers

Answer:

Yes it does

Step-by-step explanation:

did it on edge

The hourly rate of your new job is $5.00 per hour. You expect a raise of 9% each year. At the end of your first year, you receive your first raise. What will your hourly rate be at the end of your fifth year?*​

Answers

Answer:

Step-by-step explanation:

$5×1.09 = $5.45

Pls pls pls help! Giving brainliest! (Math 3)
A town experiences a population growth after a new manufacturing plant opens. If the trend continues, the equation 50,000=24,000(1.23)^t can be used to find the amount of time, t, in years, it will take for the population of the town to reach 50,000
A) t=0.15
B) t=2.10
C) t=3.55
D) 49.11

Answers

Answer:

I think it's C. I'm very very very sorry if it's not

Step-by-step explanation:

A puzzle book weigh 3/5 lb. A comic book weighs 0.35 lb. How much more does the puzzle book weigh than the comic book? Show your work.

plz help

Answers

Answer:

0.25 pounds

Step-by-step explanation:

((3/5) pound) - (0.35 pounds) =

0.25 pounds

PLEASE HELP
WORTH 30 PTS!!
Choose the step that shows where a mistake is made (if there is one).

-2(x + 4) + 4x = 16

Step 1 -2x + 8 + 4x = 16

Step 2 2x + 8 = 16

Step 3 2x = 8

Step 4 x = 4

a Step 1

b Step 2

c Step 3

d Step 4

e No mistakes were made. The steps are correct and the answer is x = 4.

Answers

Answer:

The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8

when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)

solve for x then, find m < FDG and m <GOF. ​

Answers

Answer:

choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180°

6x + 18 = 180

6x = 162

x = 27

∠FDG = 2(27) + 8 = 62°

∠GOF = 4(27) + 10 = 118°

The store paid 2.50 for a book and sold it 5.25%. What is the percent?

Answers

To find the profit as a percentage:

profit as a percent = (price sold - purchase price) / (purchase price)

profit as a percent = (5.25 - 2.50 ) / (2.50)
profit as a percent = 2.75 / 2.50
profit as a percent = 1.1
then we will multiply 1.1 by 100 to get a percentage
profit as a percent = 110%

NEED ANSWER SUPER FAST!

Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone
has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use
3.14 to approximate pi. (Show your work.)

Answers

THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!

Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?

Answers

Answer:

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

Step-by-step explanation:

Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?

Let us represent.

The amount of money

Elsa = x

Hans = y

Charlie = z

Elsa, Hans, and Charlie have a total of $106 in their wallets.

= x + y + z = 106

Hans has $6 less than Elsa.

y = x - 6

Charlie has 2 times what Hans has.

z = 2x

Hence:

x + x - 6 + 2x = 106

4x - 6 = 106

4x = 106 + 6

4x = 112

x = 112/4

x = 28

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

please help me with both a and b, i am clueless

Answers

1. Yes because the first ratio would be 1:5 and the second would be 1:5 because you would divide the first one by 4 and the second by 3
2. And then by would be the same

Triangle a is reflected i nthe x-axis to give b triangle b isreflected in the y axis to give shape c

Answers

Answer:

Hello your question is poorly written attached below is the complete question

Triangle A is reflected in the X-axis to give triangle B , and Triangle B is reflected in the Y axis to give shape C

ii) Draw triangle B and label it

ii) Draw triangle C and label it

answer : attached below

Step-by-step explanation:

Attached below is The graph showing the Triangles A , B and C drawn and labelled using online tools

[HELP ANSWER QUICK 50 POINTS !] The steps below can be used to show that xo =2x.
Step 1: (**)
2
= x
Step 2: (Vx)2 = x
Step 3:
=
1
Step 4: x
=
Which of these correctly completes step 3?

Answers

Answer: step 2?

Step-by-step explanation:

Answer: I’m pretty sure the answer is b but I’m not 100% sure

Step-by-step explanation:

( 3 - 4i ) + ( 6 + 7i )

Answers

Answer:

9 + 3i

Step-by-step explanation:

( 3 - 4i ) + ( 6 + 7i )

We add like terms :)

the answer is 9 + 3i

An offshore oil well is 1 mile off the coast. The oil refinery is 4 miles down the coast. Laying pipe in the ocean is twice as expensive as laying it on land. Find x, and consider how finding x helps determine the most economical path for the pipe from the well to the oil refinery.

Answers

Answer:

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Step-by-step explanation:

Given

See attachment for complete question

First, we calculate the water pipe length (AC):

[tex]AC^2 = AB^2 + BC^2[/tex]

[tex]AC^2 = 1^2 + x^2[/tex]

[tex]AC^2 = 1 + x^2[/tex]

[tex]AC = \sqrt{1 + x^2[/tex]

The cost of laying across water is twice (2 times) laying on land.

So, the total cost (C) is:

[tex]C = 2 * \sqrt{1 + x^2} + 1 * (4 - x)[/tex]

[tex]C = 2 \sqrt{1 + x^2} + (4 - x)[/tex]

Differentiate

[tex]C' = \frac{2x}{\sqrt{1 + x^2}} - 1[/tex]

To find the most economical cost, we simply minimize C' by equating C' to 0

[tex]C' = 0[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}-1 = 0\\[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}=1[/tex]

Cross multiply

[tex]2x= \sqrt{1 + x^2}[/tex]

Take square of both sides

[tex]4x^2 = 1+x^2[/tex]

Collect like terms

[tex]4x^2 -x^2= 1[/tex]

[tex]3x^2= 1[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = \frac{1}{3}[/tex]

Solve for x

[tex]x = \sqrt{\frac{1}{3}}[/tex]

[tex]x = \frac{1}{\sqrt 3}[/tex]

Rationalize:

[tex]x = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given Angles are 40° , 60° , 10°​

Answers

Answer:

Same arc intercepted, the angles are equal

t = 10°u = 60°v = 40°

Cyclic quadrilateral has supplementary opposite angles

s + v + 60° + 10° = 180°s + 40° = 110°s = 70°

And s and r intercept same arc, therefore:

r = s = 70°

WILL GIVE BRAINLIEST

Answers

The answer is 7 !

Step-by-step explanation:

25 + 5 + 5 + 5 + 5 + 5 + 5 +5 =60

A rectangle is 6 units by 5 units give its area an perimeter

Answers

Answer:

22

Step-by-step explanation:

Perimeter is every side added together soo...

6 + 5+ 6+ 5 =22

answer:

area = 30 units²

perimeter = 22 units

step-by-step explanation:

know the formulasarea = l x wnow plug in what we know

6 X 5 = 30 units²

for perimeter, we just have to add all sides

6 + 6 + 5 + 5 = 22 units

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