The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x = [tex]\frac{15}{17}[/tex] . Find the value of cos y.

Answer:

(-1, -3)

Step-by-step explanation:

What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?

Using the coordinate point (-1, 3)

If x = -1 and y = 3

Substitute into the expressions and check if they are true

2x - 7y >5

= 2(-1)-7(-3)

= -2 + 21

= 19

Since 19 is greater than 5, hence the inequality 19 > 5 is true

Substituting into 3x - y < 4

3(-1)-(-3)

= -3 + 3

= 0

Since 0 < 4, hence this is also true for the inequality.

The coordinate point that satisfies the inequality is therefore (-1, -3)

Answer:

289.877 ft

Step-by-step explanation:

You can draw the eagle and mouse by using a right triangle. You know that the height of the triangle will be 280 feet and the distance between eagle and mouse should be the hypotenuse. Since we know the angle and one side of the triangle, we can use trignometry (cosine(angle)=adjacent/hypotenuse). Plug in your values and solve for the hypotenuse.

Answer:

even though there's no options or context,most likely answers are 1.little

2.Suzzy

3. flour

4.molases

5.foil

6 aunt

7. ate

8.

9.good

10.kitchen

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

Answer:

B 4456448444424346464646464664646464

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

Step-by-step explanation:

Area is:9x5

Hope i could help u

Step-by-step explanation:

11. step 1. m = (4 - 7)/(-3 - (-5))

step 2. m = -3/2.

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

Answer:

use pressure =Force /area

Step-by-step explanation:

12000N/1.08

Answer:

x = 100, y = 50

Step-by-step explanation:

Make a system of equations:

First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:

x + y + 30 = 180

x + y = 150

Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:

2y + x/2 + 30 = 180

x/2 + 2y = 150

Now, all you have to do is solve the system of equations.

To start, multiply the second equation by 2 to get rid of the fraction:

x + 4y = 300

Then, you can subtract the two equations:

x + 4y = 300

- (x + y = 150)

3y = 150

divide both sides by 3

y = 50

substitute y = 50 into the equation x + y = 150:

x + 50 = 150

x = 100

Answer:

60

Step-by-step explanation:

LCM of 12 and 15

First Method: Listing the multiples

First, write the common multiples of all three numbers.

Common Multiples of 12: 12,24,36,48,60,72,….

Common Multiples of 15: 15, 30, 45, 60, 75,…

Hence, the Least common multiple of 12 and 15 is 60.

Second method: By prime factorisation

Let us write the prime factors of the two numbers individually.

12 = 2 x 2 x 3

15= 3 x 5

Multiply each factor the maximum number of times it occurs in either number

= 2 X 2 X 3 X 5

= 60

LCM of 12 and 15= 60

Answer

LCM of 12 and 15= 60

Hope this helps :)

Answer:

60

Step-by-step explanation:

we have to use prime factorisation method to obtain the answer.

12 and 15 have LCM 60.

Answer:

x=45/4

Decimal Form:

x=11.25

Mixed Number Form:

x=11 1/4

Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.

HAVE A GREAT DAY! ❤️

Step-by-step explanation:

Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

By similar triangles:

[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]

The height of the pole is 20ft.

Answer:

3 feet

Step-by-step explanation:

The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.

The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:

[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the diagram of the ramp, we can see that:

The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:

[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:

height = slope * base = (1/3) * 9 = 3 feet

If the base is extended by 3 feet, the tall would be 3 feet tall.

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  

Answer:

I

1)-574 2)-874 3)-902 4)No answer bz have two dismal place

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

9514 1404 393

Answer:

  PR = 8

Step-by-step explanation:

The median bisects the side opposite the vertex, so ...

  P is the midpoint of AC

Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:

  PR + RC + PC

  PR + 4.5 = 12.5 . . . . . fill in the known values

  PR = 8 . . . . . . . . . . . . .subtract 4.5

Answer:

im anserring for brainly points

Step-by-step explanation:

none honestly sorry

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

The two whole numbers that are the closest to √42 are 6 and 7.

The given number is √42.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The square root of √42 =6.48

The two whole numbers that are the closest to √42 are 6 and 7.

Therefore, the two whole numbers that are the closest to √42 are 6 and 7.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ5

Answer:

It should be 261 degrees.

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find out - 'e'

Given,

90 % of e = 30

[tex] = > \frac{90}{100} \times e = 30[/tex]

[tex] = > e = 30 \times \frac{100}{90} [/tex]

[tex] = > e = \frac{100}{3} [/tex]

=> e = 33.3333......

=> e = 33.3 (approx. ) (Ans)