The radar beam sent out by an aeroplane reaches a distance of 120 kilometres and covers an angle of 150 degrees calculate the area covered by the beam
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If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Louis needs to secure his tent.

He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener

We have to find the length of the rope by using pythagoras theorem

12²+9²=x²

144+81=x²

225=x²

Take square root on both sides

x=√225

x=15

The total length is 12+9+15=36 ft

Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

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Answer:

Hi!

The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.

The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.

The slope intercept form is y = 1/6x -4.

For standard form, we subtract 1/6x from both sides to get

-1/6x + y = -4

Hope this helps!

Step-by-step explanation:

Answer:

B, C, and D

Step-by-step explanation:

Hey there!

In order to find if the area of these shapes are 24, we need to first find the area

A. Triangle: Base of 8 feet, Height of 3 feet

Formula for area of triangle: Base x height x 1/2

8 x 3 x 1/2 --> 24 x 1/2 --> 12

Not an answer

B. Rectangle: Width of 4 feet, Length of 6 feet

Formula for area of rectangle: Length x width

4 x 6 --> 24

It is an answer

C. Parallelogram: Base of 12 feet, Height of 2 feet

Formula for area of Parallelogram: Base x height

12 x 2 --> 24

It is an answer

D. Triangle: Base of 6 feet, height of 8 feet

Formula for area of triangle: Base x height x 1/2

6 x 8 x 1/2 --> 48 x 1/2 --> 24

It is an answer

In conclusion, the statements that make this rule true are:

B, C, and D

Answer:

Salt: 1, 2, 4

Pepper: 1/2, 1, 2

Garlic Powder: 1/4, 1/2, 1

Onion Powder: 1/4, 1/2, 1

Step-by-step explanation:

The batches are doubling each time.

Answer:

D

Step-by-step explanation:

|3x – 12| ≥ 6  put it into 2 cases

3x - 12 ≥ 6         or         3x - 12 ≤ -6

3x ≥ 18              or         3x ≤ 6

x ≥ 6                  or         x ≤ 2

Answer:

x = 1331

Step-by-step explanation:

Squaring both sides :

Answer:

y=2x

Step-by-step explanation:

Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

Answer:

Decrease of 43.75% in area

Step-by-step explanation:

Finding Side Length of Q :

⇒ Side Length P (100% - 25%)

⇒ 75 % x Side Length O

⇒ 0.75 x 12 cm

⇒ 9 cm

Area of Squares P and Q :

⇒ Area (Square P) = (12)²

⇒ Area (Square P) = 144 cm²

⇒ Area (Square Q) = (9)²

⇒ Area (Square Q) = 81 cm²

% Decrease :

⇒ New - Original / New

⇒ 81 - 144 / 144

⇒ -63/144

⇒ -21/48

⇒ -7/16

⇒ -0.4375

⇒ Decrease of 43.75% in area

Answer:

m<ZB is 36 degrees

Step-by-step explanation:

Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x

subtract 2x from both sides and you’ll get “26=x+21”

subract 21 from both sides and you’ll get “5=x”

now we substitute x for 5!

3(5)+21=

15+21=

36

So m<ZB is 36 degrees!

ur welcome :)

hope i helped

brainliest please?

Answer:

When x= 3,

2x => 6

5x+ 1 => 16

According to the pythagorus theorem,

hypotenus²= base² + height²

hypotenus²=  6² + 16²

hypotenus = √ 292 = 17.1

answer option no. 3

Answer:

2. 17.1 units

Step-by-step explanation:

x=3

2 x 3=6

5 x 3 + 1=16

6² + 16²=c²

36 + 256=c²

292=c²

[tex]\sqrt{292}[/tex]=17.0880075

c=17.1

Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.

Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).

Angle 1 = Angle 4

74 = 3x - 18

92 = 3x

x = [tex]30 \frac{2}{3}[/tex]

---Rounded to the nearest tenth: 30.7

---Rounded to the nearest hundredth: 30.67

---Rounded to the nearest thousandth: 30.667

Hope this helps!

Answer:

Step-by-step explanation:

3x - 18 = 74

3x = 92

x ≈ 30 2/3

Answer:

Alright so there are two ways

Step-by-step explanation:

If your radius is 16cm, then the diameter equals 32cm

If your diameter is 16cm, then your radius equals 8cm

Answer:

  46

Step-by-step explanation:

The midsegment DF has half the length of the side AC it is parallel to.

__

AC = 2×DF = 2×23

AC = 46

Answer:

flip it around 9/13 reciprocal would be 13/9

Answer:

Choice D is the answer

Step-by-step explanation:

| 7 | - | 2 | = -5

7 - 2 ≠ -5

Hope this helps

Answer:

2/3

Step-by-step explanation:

p(B/A)=[P(A&B)]/p(A)

2/3=[P(A&B)]/(1/2)

P(A&B)=2/3 *1/2=1/3

P(A&B)=P(A)*P(B)

1/3=1/2*P(B)

P(B)=1/3*2/1=2/3

Answer:

(-3,4), (-3,1), and (-5,1)

Answer:

4.5 step by step

Step-by-step explanation:

6 × 6 = 36 ÷ 8 = 4.5

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The pathway of Sam's dive into the swimming pool can be represented by the equation,

[tex]h = -16t^2 + 15t + 12[/tex]

(where t = time in seconds and h = height in feet)

The Sam's height after 1 second is,

[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]

Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

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Answer:

A

Step-by-step explanation:

because 26-15=11. Then 11:26! Hope I helped:)

The odds in favor of drawing a yellow tile is 11/26

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

Total tiles 26 in a bag

purple tiles = 15

yellow tiles= 26-15

                  = 11 tiles

So,  the odds in favor of drawing a yellow tile is 11/26.

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Answer:

C

Step-by-step explanation:

[tex]3(7x-8)\\\\=3(7x)-3(8)\\\\=21x-24[/tex]

Answer:

1/125,000

Step-by-step explanation:

8/1,000,000 =

4/500,000 =

2/250,000 =

1/125,000 =

0.000008 (just in case)

Answer:

one correct answer =24pts

therefore, 15 correct answers = 24 × 15 = 360pts

one incorrect answer = 1pts

so, 15 incorrect answers = 1 × 15 = 15pts

Saniyah's score = 360 - 15 = 345pts

Step-by-step explanation:

so your points are going to be as follows, starting with the left-most point.

(-1, 7)

(0, 4)

(1, 3) [this is the vertex]

(2, 4)

(3, 7)

Answer:

attached image

Step-by-step explanation:

Reference function:

y = x^2

Translated function:

y = a(x - h)^2 + k

k is vertical translation (up if positive or down if negative)

3 in your formula so it move up 3

h is horizontal translation (left if positive or right if negative)

1 in your formula so shifted 1 to the right horizontal translation

a is the vertical scaling

it can be either compressed (more narrow) or streched (wider)

a < 0 the graph is either stretched or compressed and also reflected about the x -axis

none in your formula

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

The leading coefficient of a polynomial is the term that multiplies the highest exponent.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

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Answer:

[tex]13k - 5[/tex]

Step-by-step explanation:

[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]