Given that (in picture)...

Find the values of a and b

Please help- confused on rationalising denominator but not sure

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\sin \theta +\csc \theta = 2[/tex]

And we want to find the value of:

[tex]\sin^2\theta + \csc^2\theta[/tex]

From the first equation, we can square both sides:

[tex](\sin \theta + \csc \theta)^2=(2)^2[/tex]

Square:

[tex]\sin ^2\theta +2\sin\theta\csc\theta +\csc^2\theta =4[/tex]

Let csc(θ) = 1 / sin(θ):

[tex]\displaystyle \sin ^2\theta +2\sin\theta\left(\frac{1}{\sin \theta}\right) +\csc^2\theta =4[/tex]

Simplify:

[tex]\displaystyle \sin ^2\theta +2(1) +\csc^2\theta =4[/tex]

Therefore:

[tex]\sin ^2\theta + \csc^2\theta =2[/tex]

Our answer is C.

Answer:

-8/5

Step-by-step explanation:

Using the points given ( -1,4) and (4,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -4 -4)/(4- -1)

    = (-4 -4)/(4+1)

    = -8/5

Answer:

We can't see the graph

Step-by-step explanation:

Answer:

wait can you make the same question with a picture or you don't have any pictures that comes with the problem?

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

Answer:

No real solution

Step-by-step explanation:

This leads to a square root of a negative number, which is not possible without imaginary numbers

Answer:

D

Step-by-step explanation:

Equation of the line

y - y1 = m(x - x1)

y - (-4) = 1/3 (x - 3)

y + 4 = 1/3x - 1

y = 1/3 x - 5

the graph that intercept y axis in -5 is the graph D

Answer:

i can't remember how to do this rn because its like 2:30am

C seems like most accurate answer, if this is wrong im really sorry :C

Step-by-step explanation:

Answer:

37.3 ft

Step-by-step explanation:

tan A = opp/adj

tan 31° = x/62

x = 62 * tan 31°

x = 37.3 ft

The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.

Let h denote the tree if the point on the ground is 62 feet from the tree.

The angle of elevation = 31°. Hence:

tan 31° = h/62

h = 62 × tan 31°

h = 37.25 ft

Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ6

Multiply total students by 2/3 to find how many like math:

Like math = 120 x 2/3 = 240/3 = 80 total students like math

Multiply total students by 3/5 to find number of boys:

120 x 3/5 = 360/5 = 72 boys

A) number of girls = total students - boys = 120 -72 = 48 girls

B) from above 80 students like math

C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math

Answer:

32 medals

Step-by-step explanation:

Given that

The team wons 80 medals

out of which 25% is gold

35% is silver

and rest is bronze

we need to find out the number of bronze medals that win by the team

The total percentage is 100

So, the remaining percentage is

= 100 - 25 - 35

= 40%

So, the number of bronze medal should be

= 40% of 80 medals

= 32 medals

Answer:

123

Step-by-step explanation:

100 ÷ 5 x 4 + 43

20 x 4 + 43

80 + 43

123

Answer:

Solution given;

x² + 6x = 0

taking x common

x(x+6)=0

either

x=0

or

x+6=0

x=-6

:.x=0 or -6.

Answer:

0 and -6

Step-by-step explanation:

Factor and find the zeros of the equation or graph the line to find the x-intercepts.

Answer:

sin pi/5,

Step-by-step explanation:

Answer:

The correct answer is D. $2,013.12.

Step-by-step explanation:

Since Erica took out a loan to buy her new motorcycle, and the purchase price of the motorcycle was $ 11349.00 plus 5% GST and 7% PST, and she pays $ 409.00 per month on her loan, which has a term of 3 years, for To determine how much more is she paying than the purchase price, the following calculation must be performed:

11,349 + (11349 x 0.12) = X

11,349 + 1,361.88 = X

12,710.88 = X

409 x 12 x 3 = X

4,908 x 3 = X

14.724 = X

14,724 - 12,710.88 = X

2,013.12 = X

Therefore, Erica is paying $ 2,013.12 more than the purchase price.

Answer:

c

Step-by-step explanation:

I don't think I understand this one try graphs n diagram

Answer:

Option D, ∠FBE

Step-by-step explanation:

The image for the question is attached herewith

Solution

As per the property of arc,  angles subtended by the same arc (chord) on the circumference of a circle have equal measures.

∠FAE is an angle subtended by the arc FE that touches the circle at point 'A'.

∠FBE is also subtended by the arc FE at the point 'B'.

Therefore, we must have

m∠FAE = m∠FBE.

Since, m∠FAE = 72°, so  m∠FBE = 72°.

Hence, option D, ∠FBE

Answer:

Its D

Step-by-step explanation:

Give him brainlest.

The Answer is C    226.8 ft

I remember doing this not to long ago

Answer:

answer is b

Step-by-step explanation:

i+3 -2 -4i = 1-3i

The expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Option B is correct

The given expression is:

(i+3)+i(2i-4)

Open the parenthesis by expanding the expression using the distributive rule

i  +  3  +  2i²  -  4i

Note that i²  =  -1

The expression, therefore, becomes:

i  +  3  +  2(-1)  -  4i

i  +  3  -  2  -  4i

Collect like terms by bring the real parts together and the imaginary parts together

i  -  4i   +  3  -  2

Simplify to get the final expression

-3i  +  1

Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Learn more here: https://brainly.com/question/12375854

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Answer:

X^2/3

Step-by-step explanation:

Answer:

Find the volume of this prism.

Answer:

x=124.75

Step-by-step explanation:

Sum of angles of a triangle=180°

(x-40)+(x-20)+(1/2- 10)=180°

(x-40)+(x-20)+(−9.5)=180°

x-40+x-20−9.5=180°

x+x-40-20-9.5=180°

2x−69.5=180°

2x=180°+69.5

2x=249.5

2x/2=249.5/2

x=124.75

Answer:

the first one doesn't represent function

Step-by-step explanation:

in the domain, x can only be once.

Answer: 2) Cylinder B is 25% smaller than cylinder

Answer:

Area of the floor is 30 square ft.

Step-by-step explanation:

Length of the floor, L = 6 ft

width of the floor, W = 5 ft  

The floor is in the shape of rectangle.

The area of the rectangle is

A = Length x width

So, the area of the floor is

A = L x W

A = 6 x 5

A = 30 ft^2

Answer:

the answer is 36

Step-by-step explanation: