What’s the answer?????

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.

Answer:

87.5% loss

Step-by-step explanation:

6 • 250 = 1500

4.5 • 35 = 157.5

6 - 4.5 = 1.5

1.5 • 20 = 30

157.5 + 30 = 187.5

1500x = 187.5

x = 0.125

12.5% is an 87.5% decrease

Answer:

(C).Graph C

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

choose B is the greatest variablity

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Answer:

all 75 of them

Step-by-step explanation:

2.5(30) = 75

Given:

The terminal point of [tex]\phi[/tex] is (1,0).

To find:

The value of [tex]\tan\phi[/tex].

Solution:

If the terminal point of [tex]\theta [/tex] is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that the terminal point of [tex]\phi[/tex] is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

[tex]\tan \phi=\dfrac{0}{1}[/tex]

[tex]\tan \phi=0[/tex]

Therefore, the value of [tex]\tan \phi[/tex] is 0.

Answer:

42 cm^2

Step-by-step explanation:

Please find attached an image showing the diagram

area of shaded part = area of larger rectangle - area of smaller rectangle

Area of a rectangle = length x width

larger rectangle = 10 x 7 = 70 cm^2

smaller rectangle = 7 x 4 = 28cm^2

Area of shaded part : 70 - 28 = 42cm^2

Answer:

13.23 feet^2

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

D I believe

Step-by-step explanation:

I may not be correct, but i hope this helps!

Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

Answer:

x = 5

Step-by-step explanation:

Given

4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides

4 - 4x + 6 - 2x + 4 = - 2x - 6

- 6x + 14 = - 2x - 6 ( add 2x to both sides )

- 4x + 14 = - 6 ( subtract 14 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Let's solve:

[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ [/tex]

Step 1: Simplify both sides of the equation.

[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign)

\\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\

4+−2(2x−3)+−2x+4=−2(x+3)

4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\

4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6

\\ −6x+14=−2x−6[/tex]

Step 2: Add 2x to both sides.

[tex]−6x+14+2x=−2x−6+2x \\ −4x+14=−6[/tex]

Step 3: Subtract 14 from both sides.

[tex]−4x+14−14=−6−14 \\ −4x=−20[/tex]

Step 4: Divide both sides by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]

Answer:

[tex]P = (3,0)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-2)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]B = (6,1)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]m:n =2:1[/tex]

Required

The coordinates of P

This is calculated as:

[tex]P = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}][/tex]

So:

[tex]P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})[/tex]

[tex]P = (\frac{9}{3},\frac{0}{3})[/tex]

[tex]P = (3,0)[/tex]

Answer:

so a = -1  b = -1/4  and c = 7

Step-by-step explanation:

-x^2 - 1/4x +7

This is in the form

ax^2 + bx +c

so a = -1  b = -1/4  and c = 7

Answer:

[tex]a=-1[/tex]

[tex]b=-\frac{1}{4}[/tex]

[tex]c=7[/tex]

Step-by-step explanation:

Hope this helps:)

Answer:

Final price of house = $145,000 (Approx.)

Step-by-step explanation:

Given:

Rate of commission = 3%

Amount of commission = $4,350

Find:

Final price of house

Computation:

Final price of house = Amount of commission / Rate of commission

Final price of house = 4,350 / 3%

Final price of house = 4,350 / 0.03

Final price of house = 145,000

Final price of house = $145,000 (Approx.)

Answer:

$12.89

Step-by-step explanation:

value of tax:

6 : 100 = x : 10.40

x = (10.40 * 6)/100 = $0.624

new amount

10.40 + 0.624 = $11.02

value of tip

17 : 100 = x : 11.02

x = (11.02 * 17)/100 = $1.8734

Final amount

11.02 + 1.8734 = $12.89

Answer:

See explanation

Step-by-step explanation:

Dinosaur Discovery show = 8 friends

Wild Weather show = 4 friends

Cost of Dinosaur Discovery show = $d

Cost of Wild Weather show = $w

At regular price:

Total cost of his friends' tickets = 8 * d + 4 * w

= 8d + 4w

At half price

Total cost of his friends' tickets =

8 * 1/2d + 4 * 1/2w

= 8/2d + 4/2w

= 4d + 2w

Total cost of his friends' tickets = 4d + 2w

Answer:

4/20 or 1/5

Step-by-step explanation:

number of guesses/total possible outcomes (formula for this question since it is an independent event)

total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)

total possible outcomes: 20

number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)

number of guesses: 4

number of guesses/total possible outcomes = 4/20 or 1/5

(I might be wrong lol, I haven't learned it in a long time)

Answer:

18months

Step-by-step explanation:

1424-560=864

864÷48=18

Answer:

18

Step-by-step explanation:

$1424-$560= $864

$864 divided by $48 = 18 months

Distance from A to B = B-A = 18-0 = 18

M is the midpoint which means it is equal distance between A and B

M = distance between A and B divided by 2:

M = 18/2 = 9

Answer: M = 9

Answer:

9

Step-by-step explanation:

If m is a midpoint of AB

then

M = 1/2AB

If AB = 18

Then M = 1/2 of 18

18/2 = 9

Hence M = 9

Answer:

Step-by-step explanation:

Answer:

8 m

Step-by-step explanation:

Applying,

A = bh/2................ Equation 1

Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.

Since the triangle is an isosceles triangle.

Then,  b = h

Assuming, b = y m

Given: A = 16 m²

Substitute these values into equation 1

16 = (y×y)/2

16 = y²/2

y² = 16×2

y² = 32

y = √32

y = 4√2 m

Therefore,

b =  4√2 m and h =  4√2 m

Applying pythagoras theorem, to get the length of the fence enclosing the paddock

a² = b²+c²

a² = (4√2)²+(4√2)²

a² = 32+32

a² = 64

a = √64

a = 8 m

Hence the length of the fence enclosing the paddock is 8 m

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

I really hope this helps, good luck!

Answer:

The measure of [tex]\theta[/tex] is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of [tex]\theta[/tex] is [tex]\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)[/tex]. What is [tex]\theta[/tex]?"

The measure of the angle ([tex]\theta[/tex]), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form [tex](x,y)[/tex] is determined by the following inverse trigonometric function:

[tex]\theta = \tan^{-1}\left(\frac{y}{x} \right)[/tex] (1)

If we know that [tex]x = \frac{\sqrt{3}}{2}[/tex] and [tex]y = \frac{1}{2}[/tex], then the measure of [tex]\theta[/tex] is:

[tex]\theta = \tan^{-1} \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = 30^{\circ}[/tex]

The measure of [tex]\theta[/tex] is 30°.

Answer:

its 60 degrees

Step-by-step explanation:

a p e x 2021

Answer:

- 7/2

Step-by-step explanation: