Use your measuring devices and right angle trigonometry to calculate the height of this triangle.

Answer:

81/16

Step-by-step explanation:

Answer:

The part of the bridge that opens is 50 ft.

Step-by-step explanation:

The given parameters of the drawbridge are;

The entire length of the bridge = 100 feet

The height of the isosceles trapezoid formed = 25 feet

The angle at which the drawbridge meets the land ≈ 60°

Therefore, the part of the bridge that opens = The top narrow parallel side of the isosceles trapezoid

The length of each half of the bridge = (The entire length)/2 = 100 ft./2 = 50 ft.

Let 'x' represent the path of the waterway still partly blocked by each half of the bridge inclined

∴ x = 50 × cos(60°) = 25

x = 25 ft.

The path covered by both sides of the drawbridge = 2·x = 2 × 25 ft. = 50 ft.

The part of the bridge that opens = The entire length - 2·x

∴ The part of the bridge that opens = 100 ft. - 50 ft. = 50 ft.

The part of the bridge that opens = 50 ft.

Answer: 11

Step-by-step explanation:

Sooooo all I did was take the formula for the area of a triangle ( A= 1/2(b)(h) 0 and plug In the values. So 'b' would be 4 and 'h' would be 5.5. I assumed this rectangle had equal widths and equal heights.

Answer:

The equation is 157+28=185.

157+ 28= 185

I think that’s right

Answer:

(f*g)(x) = 3x^2 + 25x - 18

Step-by-step explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Answer:

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 4.5[/tex]

Required

Make up a linear function

A linear function is represented as:

[tex]y = mx + b[/tex]

Assume [tex]b = 4[/tex]

The equation becomes

[tex]y = mx + 4[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = 4.5[/tex] to solve for m

[tex]4.5 = m*2 + 4[/tex]

[tex]4.5 = 2m + 4\\[/tex]

Solve for m

[tex]2m = 4.5 - 4[/tex]

[tex]2m = 0.5[/tex]

[tex]m = 0.5/2[/tex]

[tex]m = 0.25[/tex]

So, we have:

[tex]m = 0.25[/tex], [tex]b = 4[/tex], [tex]x = 2[/tex] and [tex]y = 4.5[/tex]

[tex]y = mx + b[/tex] becomes

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Answer:

sine=opposite/hypotenuse

sine=6/10

sine=0.6

sine^-1 0.6

=36.87

Answer:

Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),

Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)

Step-by-step explanation:

Answer:

67-32=a

if his mom is 67 and he is 32 years younger 67 minus 32 would equal a which is his age

Answer:

28 units

Step-by-step explanation:

Given data

Let the width be x

The length is =3x+5  

Perimeeter= 234

The expression for the perimeter is  

P=2L+2W

Substitute

234= 2*x+2(3x+5)

234= 2x+6x+10

Collect like terms

234= 8x+10

234-10= 8x

224=8x

x= 224/8

x=28

Hence the width is 28 units

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

Answer:

54

Step-by-step explanation:

First of all,

Cross multiplication

4 = 12

18 = x

Let the value of the number of eggs be represented by x

4x = 12×18

4x = 216

4. 4

(Same as 216÷4)

x = 54

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

Answer:

2/6b-7

Step-by-step explanation:

Answer:

1/3(b-21)

hope it helps :)

Answer:

(1, - 1)

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (1, - 1)

Then (1, - 1 ) is the solution to the system.

Answer:

3 years approx

Step-by-step explanation:

Given data

Principal=£100

Amount= £109.27

Rate= 3%

The expression for the compound interest is

A=P(1+r)^t

Make t subject of formula we have

t= ln(A/P) / r

t= ln(109.27/100)/ 3

t= ln(1.0927)/0.03

t= 0.088/0.03

t= 2.93

Hence the time is 3 years approx

Answer:

20 m per second

Step-by-step explanation:

100 / 5 = 20

Answer:

55

Step-by-step explanation:

Answer:

P- arenthesis

E- xpontent

M- ultiplication

D- ivision

A- ddition

S- ubtraction

Answer:

Step-by-step explanation:

p=parentheses

e=exponents

m=multiplication

d=division

a=addition

s=subtraction

The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

Answer: Omar drove the truck for 5.15 miles

Step-by-step explanation:

Base fee = 17.95 $

Additional charge per mile = 98 cents = 0.98 $     ( 100cents = 1$)

Now Omar payed = 22 $

Let the miles he travelled = x

Now , [tex]17.95+0.98\times x=23[/tex]

Solvimg for x :

[tex]x=5.15miles[/tex]

Thus Omar drove the truck for 5.15 miles

Answer:

3/4 is 0.75 and 1 is 1

Step-by-step explanation:

:\

Answer:

Oh Lol i didnt even see the pic

Step-by-step explanation:

Answer:

5*2=10

10*8=80

Step-by-step explanation:

Multiply all number!!!