In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for each wrong answer. There is no penalty for not attempting a question. a candidate attempts "a" questions and get "c" correct. Write down, and simplify, an expression for the candidate's total mark in terms of "a" and "c".​

Answer:

sine(pie/5+pie/2)

Step-by-step explanation:

The expression, written as the sine of an angle is sin (7π/10)

Trigonometry Identities

From the question, we are to write the given expression as the sine or cosine of an angle.

The given expression is

sin(π/5)cos(π/2) + sin(π/2)cos(π/5)

Let A = π/5

and

B = π/2

Thus, we get

sinA cosB + sinB cosA

From the given information, we have that

sin(A ± B) = sinA cos B ± cosA sinB

∴ sin(A + B) = sinA cos B + cosA sinB

Now,

sinA cosB + sinB cosA = sinA cosB + cosA sin B

∴ sinA cosB + sinB cosA = sin (A + B)

Put A = π/5

and

B = π/2

sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (π/5 + π/2)

sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (7π/10)

Hence, the expression, written as the sine of an angle is sin (7π/10)

Learn more on Trigonometry identities here: brainly.com/question/12994136

#SPJ1

Answer:

n = ±7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

-3n² + 147 = 0

Step 2: Solve for n

Answer:

The height of the base if it is 2 in. Wide is 3 inches

Step-by-step explanation:

Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]

Volume of given rectangular prism = [tex]12 in^3[/tex]

Length of prism = 4 in

Base of prism = 2 in

Substitute the values in formula

So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]

[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]

3 = Height

Hence the height of the base if it is 2 in. Wide is 3 inches

Answer:

3 inches

Step-by-step explanation:

Answer:

As the slope is -2, so the rate of change of the function is:

Step-by-step explanation:

The slope is basically the rate of change of a function.

Let us take the two points from the graph

Taking the slope between two points to determine the rate of change of a function

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:5\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)[/tex]

[tex]m=-2[/tex]

As the slope is -2, so the rate of change of the function is:

Answer:

c=3

Step-by-step explanation:

Angle sum of a triangle is 180°

(19c+16)°+13c°+(17c+17)°=180°

collect the like terms i.e

19c+13c+17c+16+17=180°

49c°+33°=180°

49c°=180°-33°

49c°=147

dividing by 49 both sides

49c/49=147/49

c=3

Answer:

y + 5 = 2(x - 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (5, - 5) , thus

y - (- 5) = 2(x - 5) , that is

y + 5 = 2(x - 5)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \sqrt{17} ≈4.1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is Option Three .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

C

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } } [/tex]

Let the points be A and B. Now,

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

[tex] \boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}[/tex]

Substitute the actual value of the points into the distance formula and then simplify.

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : ( - ) × ( - ) = ( + )

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}[/tex]

Add the numbers : 4 and 6

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}[/tex]

Evaluate the power

[tex] \longrightarrow{ \sf{ \sqrt{4 + 100}}} [/tex]

Add the numbers : 4 and 100

[tex] \dashrightarrow{ \sf{ \sqrt{104}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}[/tex] units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is [tex] \sf{2 \sqrt{26}} [/tex] units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

Answer:

how many mangos

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Answer:

Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})

Answer:

(0,6) and (-2, 0)

Step-by-step explanation:

All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.

In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).

Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.

using this information, we can substitute y in the equation with 0 becoming

0 = 6 + 3x

now we can solve for x.

0 -6 = 3x

-6 / 3 = x

x = -2

the coordinate is (-2, 0)

Answer:

Step-by-step explanation:

Domain:-{-4,3) or -4≤x<3

Range:-(-5,5) or -5<y<5

function:-no

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

Answer: -16.74

Step-by-step explanation:

Answer:-16.74

Step-by-step explanation:

Answer:7 and 10

Step-by-step explanation:

Trust I got it 100% right

Answer:

1

Step-by-step explanation:

Answer:

3 or 5

Step-by-step explanation:

Given:

The function is

[tex]f(x)=7x+11[/tex]

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

[tex]f(x)=7x+11[/tex]

It is a linear function, and domain and range of these types of functions  are all real numbers.

[tex]Domain:(-\infty,\infty)[/tex]

[tex]Range:(-\infty,\infty)[/tex]

Put x=0 in f(x), to find the y-intercept.

[tex]f(0)=7(0)+11[/tex]

[tex]f(0)=0+11[/tex]

[tex]f(0)=11[/tex]

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

[tex]0=7x+11[/tex]

[tex]0-11=7x[/tex]

[tex]-11=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{-11}{7}=x[/tex]

So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].

Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].

Answer:Right

Step-by-step explanation:

Positive on the graph is right have a great day hope this helps!!

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

Maisha ran the race in .36 seconds faster than Patti.

8.4 - 8.04 = .36

Answer:

Step-by-step explanation:

I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]

[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]

[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]

[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]

Answer:

B

Step-by-step explanation:

Which word best describe reflection

A.Line of symmetry

B.Mirror-image

C.identical

D.All of the above

Answer:

C(-2,-5).

Step-by-step explanation:

FOR A CLOCKWISE 270° ROTATION:

Given point A(x,y) its image is given

as A`(y,-x).

For the image of C which is C`(-5,2)

Comparing this to A`(y,-x)

y = -5 and -x = 2,x = -2

hence C compared to A(x,y)

will be C(-2,-5).

Answer:

(x+1)(x-1) and x = -1, 1, 2

Step-by-step explanation:

x^2 - 1 factors to (x+1)(x-1)

x+1 = 0; x = -1

x-1 = 0; x = 1

x-2 = 0; x = 2

Answer:

The answer is 20 feet..

Answer:

2x-6y=-24

2x=-24+6y

x=-24+6y÷2

x=-12+3y equation 1

x+(-5y)=-22

-12+3y-5y=-22

-13-2y=-22

-2y=-22+13

-2y=-9

y=-9÷2

y=4.5equation 2

putting value of equation 2 in equation 1

x=-12+3y

x=-12+3×4.5

x=-12+13.5

x=1.5 answer!!!

Answer:

no

Step-by-step explanation:

no