Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?

Hi there!

1. Trigonometric Ratio

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

3. Using Cosine Ratio

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

Answer:

Step-by-step explanation:

if it is rotated in clockwise direction then C'(-2,-3),D'(2,-5),E'(0,-7)

if rotated in anticlockwise direction C'(2,3),D'(-2,5),E'(0,7)

Answer:

Answer:

4

Step-by-step explanation:

7h-15h+40=-72

-8h=-32

h=4

Answer:

26

Step-by-step explanation:

the whole area is the sum of the area of the rectangle in the middle and the 2 triangles on either side of the rectangle.

sBC = distance between (0,3) and (4,-1)

and that is the Pythagoras calculation with the coordinate differences

sBC² = (4-0)² + (-1 - 3)² = 16 + 16 = 32

sBC = sqrt(32) = sFE

to get the area of the rectangle we need also FB (or CE).

sFB² = (0 - -2)² + (3-1)² = 4 + 4 = 8

sFB = sqrt(8) = sCE

area of rectangle is

sBC×sFB = sqrt(32)×sqrt(8) = sqrt(32×8) = sqrt(256) = 16

the area of a right-angled triangle is

a×b/2

we have sFB and need sAF

sAF² = (-5 - -2)² + (4-1)² = 9 + 9 = 18

sAF = sqrt(18)

the area of the left triangle is

sFB×sAF/2 = sqrt(8)×sqrt(18)/2 = sqrt(8×18)/2 = sqrt(144)/2 = 12/2 = 6

for the right triangle we have sCE and need sED.

sED² = (2 - 4)² + (-3 - -5)² = 4 + 4 = 8

sED = sqrt(8)

the area of the right triangle is

sCE×sED/2 = sqrt(8)×sqrt(8)/2 = 8/2 = 4

so in total we have for the area

16 + 6 + 4 = 26

[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]

Answer:

-19

Step-by-step explanation:

heyya, so if x = 3 you just replace the x in the calculation to 3:

-4 *3 -7

= -12 -7

= -19

Step-by-step explanation:

you need to find the lenght and breadth of the rectangle

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

(a + 1) (b + 2 ) = 2a + b + ab + 2

Step-by-step explanation:

[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]

[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]

Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]

↦ Distributive Property.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

Answer:

The trainers are 44.71% off the original price i think.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

Hello!

[ 50; 41; 30 ] = ?

50 | 2 × 5

5 | 5 => 50 = 2 × 5²

1 |

41 | 41 => 41 = 41

1 |

30 | 2 × 5

3 | 3 => 30 = 2 × 3 × 5

1 |

[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150

Good luck! :)

Answer:

17311, 17315  

Step-by-step explanation:

Explanation,

List Of CPT Codes For Mohs Surgery

CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.

Description Of CPT Code 17311

Description Of CPT Code 17315 (addon)

CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.

Extras

Description Of CPT Code 17312 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)

Description of CPT Code 17313

Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks

Description Of CPT Code 17314 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).

Answer: She can either arrange them in 7 columns or 6 columns.

Step-by-step explanation:

We are given:

Total number of pots = 42

In order to arrange the pots in the same number of columns so that each column has an equal number of pots, we will find out the factors of 42.

42 = 6 × 7

42 = 1 × 42

Garima can arrange 6 pots in 7 columns or 7 pots in 6 columns so as to have equal number of pots.

Hence, she can either arrange them in 7 columns or 6 columns.

Answer:

x = 27.5.

Step-by-step explanation:

There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.

So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.

With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.

Therefore, x = 27.5.

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

Average day temperature = 43° C

Average night temperature = -30° C

Find:

Difference between average day temperature and average night temperature

Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

Difference between average day temperature and average night temperature = 70°

Answer:

D; f = 15,000 - 25t

Step-by-step explanation:

From the question;

per gallon, the number of miles traveled is 25, given traveling speed is 500 miles per hour

So after t hours, if traveling at 500 miles per hour, the amount of fuel expended will be 25 * t = 25t gallons

So, to get the amount remaining, we subtract 25t from what we have at the start of the trip

Mathematically, we have this as;

f = 15,000 - 25t

Answer:

the answer is C, comment if you need explanation

Step-by-step explanation:

Answer:

16,500

Step-by-step explanation:

Just use a calculator-simple

What do you mean "let me y"?

Answer:

the answer is 16500 or sixteen thousand five hundred

Step-by-step explanation:

:)

Answer:

1000

Step-by-step explanation:

Given data

we have the sequence

25, 10, -5, ...

we want to find the 66th term, let us apply the formula

an = a + (n – 1)d

a= 25

n= 66

d= 15

substitute

a66= 25+(66-1)15

a66= 25+(65)*15

a66= 25+975

a66= 1000

Hence the 66th term is 1000

Answer:

It means you find something equal to that equation or simplify it.

Step-by-step explanation:

KHAN

Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

Answer:

m=1

Step-by-step explanation:

y= x + 14

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope for the line is 1

Parallel lines have the same slope

m=1

Answer:

Step-by-step explanation:

a- 12

b- 2

c- 11

and the next part is

x- 6

y- 18

Answer:

B

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]

Then

[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]

[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]

Equate the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6 → C

Answer:

[tex]\sqrt{x} +3 =13[/tex]

Step-by-step explanation:

A radical equation is any equation in which a variable is under a root. This is the only equation in which x is under the square root, so this is the radical equation.