7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
sweeps an area of 48 cm. (Taken=22/7)
(3 marks)
Page 2 of 3​

Answers

Answer 1

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = [tex]\frac{22}{7}[/tex]

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  [tex]\frac{22}{7}[/tex] × (3.5)²

48 = Ф/360  ×  [tex]\frac{22}{7}[/tex] ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°


Related Questions

Select all the numbers that are in the range of the function f(x)=3-0.5x if the domain is {1,3,4}

Answers

Answer:

1

Step-by-step explanation:

Answer:

1,1.5,2.5

Step-by-step explanation:

f(x) = 3 - .5x

The domain is 1,3,4 so theses are the only inputs

f(1) = 3 - .5 = 2.5

f(3) = 3 - .5(3) = 3- 1.5 = 1.5

f(4) = 3 - .5(4) = 3-2 =1

The only outputs are 1,1.5,2.5

PLEASE HELP ME According to this diagram, what is cos 23°?
67
13
5
90°
12
12
O
A.
B.
13
12
0
D.
13
E.
5
12
OF.
12
13

Answers

Answer:

F. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.

The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.

That means that  [tex]cos = \frac{12}{13}[/tex].

I hope this helps!

Answer:it’s f.12/13

Step-by-step explanation:

big brain

I need to know the answer

Answers

Answer:

y=3.65

X=11.85

Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

Solve the inequality.

Answers

Answer:

1 1/5 [tex]\geq[/tex] x  OR one and on fifth is greater than or equal to x.

Step-by-step explanation:

2/5 [tex]\geq[/tex] x - 4/5

To isolate x, we need to add 4/5 to each side:

6/5 [tex]\geq[/tex] x is what we get

We can simplify it to:

1 1/5 [tex]\geq[/tex] x

Add 4/5 to both sides

X <= 6/5

X <= 1 1/5

The proof that AMNS AQNS is shown.
Given: AMNQ is isosceles with base MQ, and NR and MQ
bisect each other at S.
Prove: AMNS AQNS
We know that AMNQ is isosceles with base MQ. So,
MN - QN by the definition of isosceles triangle. The base
angles of the isosceles triangle, ZNMS and 2NQS, are
congruent by the isosceles triangle theorem. It is also given
that NR and MQ bisect each other at S. Segments
are therefore congruent by the definition of bisector. Thus,
AMNS AQNS by SAS.
N
M
о
S
NS and QS
ONS and RS
MS and RS
MS and QS
R

Answers

Answer:

The answer is "MS and QS".

Step-by-step explanation:

Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.

As NR and MQ bisect each other at S

⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e   MS=SQ

In ΔMNS and ΔQNS

MN=QN       (∵ MNQ is isosceles triangle)

∠NMS=∠NQS     (∵ MNQ is isosceles triangle)

MS=SQ         (Given)

By SAS rule, ΔMNS ≅ ΔQNS.

Hence, segments MS and SQ are therefore congruent by the definition of bisector.

The correct option is MS and QS

Answer:

D

Step-by-step explanation:

edge

What is the perimeter of ABCDE, rounded to the nearest whole number?

Answers

Answer:

option B -> 23 units

Step-by-step explanation:

To solve this question we need to find the length of each side, and we can do this finding the distance between the pair of points that make a side, using the formula:

[tex]dist = \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2} }[/tex]

Where the points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

So, using the points A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1) and E = (2, -4), we have that:

[tex]AB = \sqrt{(-4 - (-1))^{2} + (-2 - 2)^{2} } = 5[/tex]

[tex]BC = \sqrt{(-1 - 2)^{2} + (2 - 2)^{2} } = 3[/tex]

[tex]CD = \sqrt{(2 - 5)^{2} + (2 - (-1))^{2} } = 4.2426[/tex]

[tex]DE = \sqrt{(5 - 2)^{2} + (-1 - (-4))^{2} } = 4.2426[/tex]

[tex]EA = \sqrt{(2 - (-4))^{2} + (-4 - (-2))^{2} } = 6.3246[/tex]

So the perimeter of ABCDE is:

[tex]P(ABCDE) = AB + BC + CD + DE + EA[/tex]

[tex]P(ABCDE) = 5 + 3 + 4.2426 + 4.2426 + 6.3246 = 22.8098[/tex]

Rounding to nearest whole number we have:

[tex]P(ABCDE) = 23[/tex]

So the answer is the option B.

Solve the proportion 4/x=8/(x-3)

Answers

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

What is the measure of L?
A. 25°
B. Cannot be determined
C. 39
D. 32°

Answers

Answer:

A. 25°

Step-by-step explanation:

25° is really the only logical answer.

A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?

Answers

The answer is 1hr11min30sec or 71.5 mn
_60% more than 27.5 is 44 using %increase formula : %increase=(final-initial)/initial
_in this case we have increased % and initial, hence we can find final value.
_finally : 44+27.5=71.5mn

Please help me with my question!!

Answers

The question is unclear but I will assume they mean 1/4 and 3 1/2.

Find common denominators.

1/4

3 1/2 -> 3 2/4

Turn into an improper fraction.

3 2/4 -> 14/4

Divide.

14/4 / 1/4

14/4 * 4/1

56/4

14

So, they can make 14 ornaments.

Best of Luck!

In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?

Answers

Answer:

8/17

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. 100 points!!!

Answers

Step-by-step explanation:

4 × 11 = 44

44 × 9 = 396

therefore it is 396ft

Answer:

4 x 11 = 44

44 x 9 = 396

It will be 396 ft

Step-by-step explanation:

At the candy store, M&Ms and Skittles are sold for $0.25 per ounce. Kevita puts some M&Ms in a bag and then added 8 ounces of Skittles. The total cost for her bag of candy is $7.50.


Kevita and Mary write the equation 0.25(x+8)=7.50 to represent the situation, where x represents the number of ounces of M&Ms.


Kevita says that to solve this equation, you first distribute the 0.25 through the parentheses to get0.25x+2=6.50.

Mary says that to solve this equation, you first divide by 0.5 on both sides to get x+8=30


Do you agree with either Kevita or Mary? Why? Finish solving the problem to find out how many ounces of M&Ms Kevita put in her bag of candy. 

Answers

Answer:

The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation

Solving for an Unknown Using the Distributive Pro
180(n - 2)/n
when the equation is solved for n, n is equal to a fraction with a denominator
help

Answers

Answer:

180(n - 2)/n=m

mn= 180(n-2)

180n-mn= 360

n*(180-m)=360

n=360/(180-m)

asif has a bag of 58 sweets he gives 5 of his sweets to each of his 6 friends how many sweets does he have left

Answers

Answer:28 if I’m not mistaken

Step-by-step explanation:

=58 - (5*6)
=58 - 30
=28

Order the integers from least to greatest:
-9, 3, 4, 5, 0

Answers

Answer:

I'm 99% sure this is the answer: -9,0,3,4,5

Step-by-step explanation:

Answer:

-9, 0, 3, 4, 5

Step-by-step explanation:

when you go from left to right on a number line the numbers increase and increase. So the numbers in least to greatest form

-9, 0, 3, 4, 5

THIS IS 1 QUESTION YEAR 9 MATHS PLEASE HELP ME
Here are five shapes.
Two of these shapes have rotational symmetry of order 2
Write down the letter of each of these two shapes.
(2 marks)



Answers

I think it’s B and D
The two shapes with rotational symmetry are B and D

c) A triangle has one pair of equal sides and one pair of equal angles
What is it called?​

Answers

Answer:

The answer is Isosceles Triangle.

f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?

Answers

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:

[tex]2^2-4(4)(6)=4-96=-92[/tex]

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

What is the area of the triangle shown below?

Answers

Answer:B: 40 squ. Units!

Step-by-step explanation:

Hope this helps

Answer:

40sq. Units

Step-by-step explanation:

I just did it

100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)

Answers

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6)I am so sorry I have no clue

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

I hope this helps.

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6) second choice

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

Calculate the length of a cuboid whose volume= 342 cubic cm , b= cm and h=9 cm

Answers

Answer.if breadth is 1 then length is 38 cm

v= l×b×h

342=l×1×9

342=9l

l=342/9

l=38

____________________________

Breadth=1 cm

Height=9cm

Volume=342cm^3

Length=?

Now,

Volume=l*b*h

or,342=l*1*9

or,342=9l

or,l=342/9

length=38 cm

So the length is 38 cm

Hope it helps

Good luck on your assignment.

_______________________________

Find the logarithmic form of 54 = 625

Answers

Answer:

4 log 5 = log 625.

Step-by-step explanation:

I am assuming you mean 5^4 = 625

Taking logs

log 5^4 = log 625

4 log 5 = log 625.

rearrange to make x the subject
2x+3/5=y

Answers

Answer:

[tex]x=\frac{5y-3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x+3}{5} =y[/tex]

[tex]2x+3=5y[/tex]

[tex]2x=5y-3[/tex]

[tex]x=\frac{5y-3}{2}[/tex]

The equation for x in terms of y is x=(5y-3)/2.

The given equation is y=(2x+3)/5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now the given equation can be rearrange to make x the subject as follows:

Cross multiply 5 to y.

That is, 2x+3=5y

⇒ 5y-3=2x

⇒ x=(5y-3)/2

Therefore, the equation for x in terms of y is x=(5y-3)/2.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

∠A and \angle B∠B are complementary angles. If m\angle A=(2x+18)^{\circ}∠A=(2x+18) ∘ and m\angle B=(6x-8)^{\circ}∠B=(6x−8) ∘ , then find the measure of \angle B∠B?

Answers

Answer:

[tex]m\angle B=52^{\circ}[/tex]

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

[tex]\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}[/tex]

Answer:

56 :)

Step-by-step explanation:

What is another word for magnitude ​

Answers

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

Learn mroe about magnitude here:

https://brainly.com/question/32106396

#SPJ6

what is slope intercept form?

Answers

Answer: The answer is -90

A single card is drawn at random from a standard 52 card deck.
Work out in its simplest form:
P(10)
=

P(not 10)
=

Answers

There are four 10 cards in the deck, so P(10) = 4/52 = 1/13

P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.

P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13

Thank you so much!!!

Answers

Answer:

[tex]\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}[/tex]

Step-by-step explanation:

(1) A typical form of equation of a line is:

[tex]y = Mx + b[/tex]

with, [tex]M[/tex] is slope and [tex]b[/tex] is y-intercept.

(2) Another straight line has equation in form of:

[tex]y = Nx + c[/tex]

with [tex]N[/tex] is slope and [tex]c[/tex] is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

[tex]M[/tex] x [tex]N[/tex] = -1

(4) Transform the given equation of original line into typical form:

      [tex]7x + 4y = -24\\[/tex]

<=> [tex]4y = -7x - 24[/tex]

<=>  [tex]y = (\frac{-7}{4})x - \frac{24}{4}[/tex]

<=> [tex]y = (\frac{-7}{4})x - 6[/tex]

=> [tex]M = \frac{-7}{4}[/tex]

=> [tex]N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}[/tex]

=> Option D: [tex]y = (\frac{4}{7})x + 8[/tex] is correct (Slope = [tex]\frac{4}{7}[/tex])

Hope this helps!

:)

What is the value of x?

Answers

Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck

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