sin theta / cos theta - cos theta/ sin theta​

1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller

2. 2/8 = 1/4

14 x 1/4 = 3.5

X = 3.5

Answer:

45

Step-by-step explanation:

When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.

Answer:

25 to both sides

Step-by-step explanation:

Group x² and x terms

(x² - 10x ) - 20

complete the square

(x² - 10x +25 ) -20 -25

(x-5)² -45

The time that the bus arrived Busia is given as 1.00 pm

The formula with which to solve for the time is given as

D/s = distance / by the speed.

Distance = 400km

Speed = 80km/hr

Time = 400/80

= 5 hours

Therefore the time of arrival from 8.00 am would be 1.00pm

A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km ​

Calculate The time the car arrived in Busia

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The missing blanks have been filled.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Total time taken to hike is 8 hours

Let the time taken in hours is represented by t

and the elevation is represented by h

Every hour, the hikers gain 250 feet in elevation.

The independent variable is t , time taken to hike , in hours .

The dependent variable is h , increased elevation in feet or elevation the hikers have gained .

A possible verbal description is Elevation at any given time equals 250 times the time taken to hike.

The equation h = 250 t corresponds to the relationship.

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Answer:

21x2 +44x +15

Step-by-step explanation:

20x + 35x2 - 5x + 20 + 35x - 5 - 8x - 14x2 +2x

35x2-14x2 +20x-5x+35x-8x+2x +15

21x2 +44x +15

Answer:

QA) C = 31.4 cm, A = 78.5 cm^2

QB) 36 cm

Step-by-step explanation:

Question A

Circumference formula: 2πr

2π(5) = 31.4 cm

Area formula: πr^2

π(5)^2 = π(25) = 78.5 cm^2

Question B

If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.

9 - 6 = 3

10 - 6 = 4

The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

Now we can combine this number with the rest of the given lengths

10 + 9 + 6 + 6 + 5 = 36 cm

The value of a is 72.74.

Probability is the study of likeliness of an event to happen.

It is given that

The mean [tex]\rm \mu[/tex] of the distribution is 70

Standard deviation [tex]\rm \sigma[/tex]  is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]

[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

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The length of BC , AC and AD is 4 , 10 , 14.

Length is the distance between two points , It is measured in cm , m , km etc.

It is asked to calculate the length of BC , AC , AD

For BC

Point B is on point 0 and Point C is on point 4.

BC=|b−c|

BC=|0−4|

BC=4

For AC

Point A is on point -6 and Point C is on point 4.

AC=|a−c|

AC=|-6−4|

AC= 10

For AD

For AC

Point A is on point -6 and Point D is on point 8.

AD=|a−c|

AD=|-6−8|

AD= 14

Therefore the length of BC , AC and AD is 4 , 10 , 14.

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Answer:

12

Step-by-step explanation:

Input interpretation: triangle | vertex coordinates (-3, 5) | (-3, 2) | (1, 2) | perimeter

Result: 12

Properties of Triangle:

Answer:

1 55

2 455

3554

Step-by-step explanation:

nfn

Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.

Answer:

D. Intersecting lines.

Step-by-step explanation:

The lines are intersecting each other.

The reason it is not perpendicular lines is because perpendicular lines have 90° angles.

Hope this helps!

If not, I am sorry.

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

Answer: it is the median

Step-by-step explanation:

Answer:

it is the Mode,Median,and Mean.

Step-by-step explanation:

There are ALWAYS three measures of the “center"

Answer: 128

Step-by-step explanation:

[tex]4^3 = 4*4*4 = 16*4 = 64[/tex]

[tex]8^2 = 8*8 = 64[/tex]

[tex]64+64 = 128[/tex]

Answer:

35/100

Step-by-step explanation:

You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.

Answer: 7/20

Step-by-step explanation:

Mrs. Phillips needs to buy 8 packs of floor boards

In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

As per the figure attached Mrs. Phillips floor plan can divided into two rectangles

The area of rectangle is as follow:

Area = length(l) x Width(w)

Area of part 1 will be:

A = 6 x 2 = 12 m²

Area of part 2 will be :

a = 3 x 2 = 6 m²

Total area of floor = A + a

Total area of floor = 12 + 6

Total area of floor = 18 m²

Given one pack of floor boards will cover 2.5 m².

So total pack of floor block needed will be as follow:

Total pack of floor block = Total area of floor/Area covered by one pack of floor boards

Total pack of floor block = 18/2.5

Total pack of floor block = 7.2 packs ≈ 8 packs

Hence Mrs. Phillips needs to buy 8 packs of floor boards

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Answer:

please mark me as brainlest

The correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.

The value of D will be calculated by multiplying the matrix if we get a unit matrix that will be the answer.

[tex]=\left[\begin{array}{cc}-9&-11&\\5&-6\\\end{array}\right]\times \left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right] \\\\\\=\left[\begin{array}{cc}(-54+55)&(99-99)&\\-(-30+30)&(55-54)\\\end{array}\right]\\\\\\=\left[\begin{array}{cc}1&0&\\0&1\\\end{array}\right][/tex]

Therefore the correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]

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Answer:

The sea lion dives 24 feet.

Step-by-step explanation:

A seal (S) dives 15 feet.

A sea lion (SL) dives 6 feet less than 2 times the seal's dive.  That can be expressed as:

SL = 2S -6

Since we know S = 15, we can say:

SL = 2*(15) - 6

SL = 24 feet

The sea lion dives 24 feet.

The total hours joe spent watching TV each day for two weeks is 12 1/2 hours

Total hours spent watching TV for two weeks = Number of hours × days

= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)

= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2

= 8 + (1+2+9+6) / 4

= 8 + 18/4

= 8 + 4 2/4

= 8 + 4 1/2

= 12 1/2 hours

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The true statement is the circle has the radius equal to 7.

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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the conversion is:

0.50 sen /g = 5 RM/kg

First, we know that

1sen = 0.01RM

Then we can change:

0.50 sen /g = 0.50*(0.01 RM) /g = 0.005 RM/g

Now we use the relation:

1g = 0.001kg

So we can rewrite:

0.005 RM/g = 0.005 RM/(0.001kg) = 5 RM/kg

So the conversion is:

0.50 sen /g = 5 RM/kg

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Answer:

62.5 copies per minute

Step-by-step explanation:

Note that the word "per" means divide.  So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes

If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:

[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]

Step-by-step explanation:

sin(theta)=4/7

cos(theta)=√1-sin²theta

=√1-(4/7)²

=√1-16/49

=√(49-16)/49

= √33/49

=(√33)/7

Using the tangent theorem, the length of the radius is: B. 10 units.

According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.

Since the triangle is a right triangle, apply the Pythagorean theorem:

(r+16)² = r² + 24²

r² + 32r + 256 = r² + 576

r² - r² + 32r + 256 = 576

32r + 256 = 576

32r = 576 - 256

32r = 320

r = 320/32

r = 10

The radius is: B. 10 units.

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Answer:

B. 10 Units

Step-by-step explanation:

In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).

In triangle ABC,

According to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.

Hence,

SA/SB=CT/BT

⇒SA/10=2.7/9

⇒SA=(2.7*10)/9

⇒SA=3

So, the length of SA is 3 ft.

Therefore the 3rd option is correct.

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Answer:

240

Step-by-step explanation:

Using the straight line formula; y=mx+c, take two points, for example, (4, 80) and (5, 100)

m=change in y/change in x, so;

m=(100-80)/(5-4)= 20

Take point (4, 80)

80=20×4 + c

80-80=c=0

so y=20x

y=20×12=240