What is the area of the front face?

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

also P(1) and P(2) are true

we will assume that

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

Answer:

Let's assume the fraction is 1/1

decreasing 1 by 10% = .9

decreasing 1 by 50% = .5

So the fraction becomes .9/.5 = 1.8

So its value increases by 180%

Step-by-step explanation:

Answer:

150x=y

Step-by-step explanation:

2x150=300

4x150=600

6x150=900

8x150=1200

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

Answer:

B. Trinomial

Step-by-step explanation:

A trinomial has three terms

The three terms are 2x^2, 3x, -2

Answer:

22

Step-by-step explanation:

15+12=27

27-5=22

Answer:

Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent

I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.

Answer: x(15x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.

The side opposite the 60° angle is (6√3)√3 = 18

x = 18

y = 6√3

Answer:

x = 18

y = 6√3

Step-by-step explanation:

<3

Answer:

10 cm

Step-by-step explanation:

From the question,

Area of a square = (Length)²

A = L²............................ Equation 1

Where A = Area of the screen, L = Length of the Screen

make L the subject of the equation

L = [tex]\sqrt{A}[/tex].................... Equation 2

Given: A = 100 cm²

Substitute into equation 2

L = [tex]\sqrt{100}[/tex]

L = 10 cm

Hence the length of the screen is 10 cm

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

if other experts state the same thing in their own paper or document.

Step-by-step explanation:

D makes the most sense to me hopefully this helps

Answer:

24 cubic in

Step-by-step explanation:

Hope this helps UwU

Answer:

B

Step-by-step explanation:

B is the most likely answer due to

13x.5=6.5

and

53x.25=13.25

13.25+6.5=19.75$

Now stop making a high schooler do your work xD

Answer:

1:2

Step-by-step explanation:

18 inches to 1 yard

We need to convert 1 yard to 36 inches

18 inches : 36 inches

Divide each side by 18

18/18 : 36/18

1:2

Answer:

(a)

[tex]\%Decrease= 12.5\%[/tex] --- TV

[tex]\%Decrease= 20\%[/tex] --- Laptop

(b) Laptop

Step-by-step explanation:

Given

Normal                       Sales

[tex]TV = 2000[/tex]                  [tex]TV = 1750[/tex]

[tex]Laptop = 1800[/tex]             [tex]Laptop = 1440[/tex]

Solving (a): Percentage increase of decrease for both

Percentage change is calculated as:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

For TV

[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]

[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]

[tex]\%Change = -0.125* 100\%[/tex]

[tex]\%Change = -12.5\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 12.5\%[/tex]

For Laptop

[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]

[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]

[tex]\%Change = -0.2* 100\%[/tex]

[tex]\%Change = -20\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 20\%[/tex]

Solving (b):

Laptop has the best reduced price  because it has a larger percentage decrease

Answer:

d i hope please be d please please

Answer:

x = 25°

Step-by-step explanation:

3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)

12x + 60° = 360°

12x = 300°

x = 25°

Answer:   y = 200·1.15^t

Step-by-step explanation:

The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as

 y = initial value · (common ratio)^t

 y = 200·1.15^t

Step-by-step explanation:

Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.

Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut

Step-by-step explanation:

So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other

Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more

9) C rhombus

10) D rectangle

11) B square

12) A square

Answer:

The simple interest is of 526.

The total amount is 3156.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question, we have that:

[tex]P = 2630, I = 0.08, t = 2.5[/tex]

The simple interest is:

[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]

The simple interest is of 526.

The total amount is:

[tex]T = E + P = 2630 + 526 = 3156[/tex]

The total amount is 3156.