Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.

Answer:

The statement that best describes how to determine if the plane clears the tower is;

Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height

Step-by-step explanation:

The given parameters are;

The length the plane will travel before lifting = 1300 yards

The distance further the plane will travel after lifting off the ground = 705 yards

The horizontal distance from the point of lifting off the ground to control tower = 700 yards

The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;

The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle

The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle

Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;

h = √(R² - x²)

We have;

R = 705 yards

x = 700 yards

∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281

The height of the control tower, h = 5·√281 yards

1 yard = 3 feet

∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet

Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

(0, 1) (2, 7)

x changes by +2 (from 0 to 2)

y changes by +6 (from 1 to 7)

the slope is +6/+2 = 6/2 = 3

(4, 5) (1, 1)

x changes by -3 (from 4 to 1)

y changes by -4 (from 5 to 1)

the slope is -4/-3 = 4/3

(1, -2) (4, 7)

x changes by +3 (from 1 to 4)

y changes by +9 (from -2 to 7)

the slope is +3/+9 = 3/9 = 1/3

Answer:

x=8

Step-by-step explanation:

3x-15+1=10

3x=10+15-1

3x=24

x=24/3=8

easy

Answer:   -___-

Step-by-step explanation:

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)

ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

Answer:

8.x=7

7.x=12

Step-by-step explanation:

8.The two Base angles are equal

7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Answer:

Exponential

Step-by-step explanation:

2z

Answer:

It is when it has factors and can be multiplied

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

Answer:

$11.25

Step-by-step explanation:

4 x 5 = 20

9 x 5 = 45

20/4 = 5

45/5 = 11.25

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Answer:320

Step-by-step explanation:

Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3

x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0

x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3

The values of y that complete the table are

- 3, 0, 3 → C

Answer:

-2×2+1/2×(-1×3+2/3)

-3/2×(-1/3)

3/6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

<

3

5

Interval Notation:

(

−

∞

,

3

5

)

Step-by-step explanation:

[tex]5x - 1 < 2 \\ 5x < 3 \\ x < \frac{3}{5} \\ x < 0.6 \: x( - \infty . \frac{3}{5} )[/tex]

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

Answer:

f

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

hope this helps

Answer:

1. 25/24

2. 7/6

3. 4/3

4. 6/8 or 3/4

5. 5/4

1. 1

2. 1/4

3. 2/10 or 1/5

4. 7/3

5. 13/6

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Answer:

DEF

Step-by-step explanation:

If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.