Mathematics High School

I need help with these questions. Please show workings.​

I Need Help With These Questions. Please Show Workings.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

∠ AOB = 360° - 264° = 96°

The altitude OM bisects ∠ AOB and the base AB

(a)

∠ MOB = 0.5 × 96° = 48°

Using the cosine ratio in right triangle MOB

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )

Multiply both sides by r

r × cos48° = 18 ( divide both sides by cos48° )

r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )

(b)

Using the tangent ratio in the right triangle MOB

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )

18 × tan48° = MB then

AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )

Related Questions

5kg of compost cost £7.50. Find the cost of 3kg of compost

Answers

Answer:

£4.5

Step-by-step explanation:

5kg= £7.50

£7.50/5 = £1.5

£1.50 =1 kg

£1.50 times 3 equals £4.5

£4.5

"What is the image of (-4,2) after a reflection over the y
axis?

Answers

Answer:

(4,2)

Step-by-step explanation:

when reflecting over the y axis you just changed the sign of the x value. (:

Answer:(4,2) just take out the - symbol.

Step-by-step explanation:

a system of two linear equations must have at least one solution as long as the lines have different intercepts. True or False.

Answers

Answer:

True

Step-by-step explanation:

Write an equation for the following sentence:
The sum of three times a number and 7 is 20.

Answers

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Find the slope of the line
у
4
(1,4)
3
2
1
(0, 0) 3 4 5x
slope

Answers

Answer:

(0, 0)

Step-by-step explanation:

Hey can someone please help me solve system of equations I’m failing can y’all help me pleaseee

Answers

Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour


PLEASE HELP FOR 20 POINTS!

Answers

Answer:

Yes

Step-by-step explanation:

Evaluate 27x squared - 42x + 12

Answers

The answer is -42x+741.

If a prize of $6000 was divided among Georgia, Leanne and Maya in the ratio
of 5:2:3, how much did each girl get?

Answers

Answer:

G-$3000, L- $1200, M- $1800

Step-by-step explanation:

Georgia= 5/10 * 6000= $3000

Leanee= 2/10 * 6000= $1200

Maya= 3/10 * 6000= $1800

If a prize of $6000 was divided among Georgia, Leanne and Maya to the ratio of 5:2:3 Georgia received $3000, Leanne received $1200, and Maya received $1800.

To find out how much each girl received, we can divide the prize of $6000 according to the given ratio of 5:2:3.

First, let's calculate the total parts in the ratio:

Total parts = 5 + 2 + 3 = 10

Now, we can determine the share of each girl by dividing the total prize by the total parts and multiplying it by the respective ratio:

Georgia's share = (5/10) * $6000 = $3000

Leanne's share = (2/10) * $6000 = $1200

Maya's share = (3/10) * $6000 = $1800

Therefore, Georgia received $3000, Leanne received $1200, and Maya received $1800.

To know more about ratio click here :

https://brainly.com/question/32828757

#SPJ2

Taylor earns $5 each time she walks her neighbor's dog.she has already earned $25.write and solve an equation to find out how many more times taylor needs to walk the dog to earn enough to buy a bike that cost $83.

Answers

Answer:

Equation: $83=5w+25 and 12 walks more

Step-by-step explanation:

Here is an equation: $83=5w+25

The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)

The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.

The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)

To solve:

83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone

58 = 5w –– Divide both sides by 5 to get w alone

11.6 = w –– Round this up to 12 because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)

Check:

83=5w+25 –– Replace w with 12

83=5(12)+25 –– Multiply

83=60+25 –– Add

83=85 –– This shows she will have $2 left over

Which inequality represents the sentence?

The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29

Answers

7.2 x 29  then 208.8 29

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

;)

Charlie is thinking about buying a game for his Xbox that cost $60 and requires a subscription to basic Xbox live that cost $10 per month he could choose to upgrade his Xbox live membership and then the game will be included but that membership is $15 a month how many months would Charlie have the game before the cost of the two is the same?​

Answers

Answer:

by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Hope this helps

Answer: by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Yw.

2/5 (s + 20) help please

Answers

Answer:

2/5s+8

Step-by-step explanation:

2/5(s+20)

=(2/5)(s+20)

=(2/5)(s)+(2/5)(20)

=2/5s+8

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much of the pot is left over? PLS HELP I HATE MATH

Answers

Answer:

3/4 of the pot left.

Step-by-step explanation:

If the mom eats a 1/12 of the pot and then the brother also eats a 1/6 of the pot, then it is 9/12 left of pasta still. The reason for that is since 1/6 is equivalent to 2/12 so 1/12 plus 2/12 is 3/12, and if u subtract 3/12 from 12/12 it will give you 9/12 which can be simplified to 3/4 left of the pot.

Answer:

3/4 of the pot is left over

Step-by-step explanation:

find the least common denominator- in this case 121/12 and 2/12= 3/123/12-12/12=9/129/12=3/4 by simplfying

turn 12y=8x+2 into slope intercept form

Answers

Answer:

y=2/3x+1/6

Step-by-step explanation:

What is the quotient of 72 divided by 0.75?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 is the answer for this question

Lydia buys 2 donuts. She cuts them up and shares them equally between 4 plates. What fraction of a donut goes on each plate? (2 points)
four over one donut
four halves donut
one fourth donut
two fourths donut

Answers

Answer:

The answer is four halves donut i believe

Step-by-step explanation:

Someone help me I will give brainliest!

Answers

Answer:

600.06

Step-by-step explanation:

At a used book sale, all the books cost the same price. Henry buys 4 paperback books for $3.20. Laney buys 9 books. How much does Laney pay for her books? Group of answer choices

Answers

Answer:

Henry: 12.80

Laney: 28.80

Step-by-step explanation:

if someone could please help me on this it would be amazing thank you so much

Answers

Answer:

7 cm squared

Step-by-step explanation:

not sure if its right but thats what i got round up to

Help please I’m trying to do my homework and don’t understand

Answers

Answer:

Answer is 9.

I think this is helpful. Vote it and like me

What is the highest common factor of 72 and 90

Answers

Answer:

18

Step-by-step explanation:

hiii please help i’ll give you brainliest if you show your work

Answers

Answer:

385

Step-by-step explanation:

Math answers to fraction 4235 divided by 11 can be calculated as follows.

4235/11 math problems division = 385. Therefore 385 to 2 decimal places= 385

Answer:

385

(Please give me branilest) (:

ABC is reflected over the X axis. What are the vertices of A’B’C’?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

answer for brainliest

Answers

Answer:

idrk,...............

Step-by-step explanation:

Mini earn 6% commission on each how she sells if she sells her house for $180,000 how much does she earn in commission

Answers

Answer:

10800

Step-by-step explanation:

100% -> 180000

6%-> 10800

Solve this equation for x:
-100+2х=80+бх


Answers

Answer:

-45

Step-by-step explanation:

-100 + -80 = 6x + -2x

-180 = 4x

-180/4 = -45

Answer:

x= -45

Step-by-step explanation:

-100 + 2x =  80 + 6x

-80  - 2x  =  -80 -2x

------------------------------

-180 + 0   =    0 + 4x

-180/4 = x

-45 = x

Can anyo help me thanks

Answers

Answer:

(-3, -5)

Step-by-step explanation:

We will multiply (6a -2b = -8) by -3, and (a - 3b = 12) by 2

Thus,

-18a + 6b = 24

2a - 6b = 24

=

-16a = 48

a= -3

Then we'll substitute,

-18(-3) + 6b = 24

54 + 6b = 24

6b = -30

b = -5

(-3, -5)

Find the equation of the line shown

Answers

Y = x + 6 is the correct answer

i got griefed last time so help me out please

Answers

Answer:

Step-by-step explanation:

a)y=2x+3

b)y=2x+2

c)y=-2x+3

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