All categories

3 years ago

NEED HELP ASAP!!!

Mathematics

2 answers:

NISA [10]3 years ago

7 0

Answer:

Approximately 85 m

Step-by-step explanation:

Let x represent the distance between the origination point and the target

Distance between original point and mirror 1 = 120 m

Distance between mirror 1 and mirror 2 = 90 m

The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°

Use Cosine rule to find x as shown below:

Use The Law of Cosines to find side a first:

$a^2 = b^2 + c^2 - 2bc \times Cos(A)$

Where,

a = x

b = 90 m

c = 120 m

A = 45°

Plug in the values

$x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45)$

$x^2 = 22,500 - 21,600 \times Cos(45)$

$x^2 = 22,500 - 15,273.5065$

$x^2 = 7,226.4935$

Square both sides

$x = \sqrt{7,226.4935}$

x ≈ 85 m

sveta [45]3 years ago

3 0

Answer: AAAAAAA-85!!!!!

Step-by-step explanation:

You might be interested in

This is what I've done so far but does anyone know what I do next or did I make a mistake

grigory [225]

Remmeber, you can do anything to an equation as long as you do it to both sides

for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign

pemdas always applies
but also the commutative property and assiociative property

so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution

7 0

3 years ago

Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after

DanielleElmas [232]

Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * 1.2020158231 
Total = 1,923.23 

Source:
http://www.1728.org/rate2.htm

8 0

3 years ago

ms green tell you that a right triangle has a hypotenuse of 13 and a leg of 5 . She asks you to find the other leg of the triang

Montano1993 [528]

Answer:

$\large \boxed{12}$

Step-by-step explanation:

We can apply Pythagoras' Theorem.

$\begin{array}{rcc}a^{2} & = & b^{2} + c^{2}\\13^{2}& = & 5^{2} + c^{2}\\169& = & 25 + c^{2}\\c^{2}& = & 144\\c & = & \sqrt{144}\\& = & \mathbf{12}\\\end{array}\\\text{The other leg of the triangle is $\large \boxed{\mathbf{12}}$}$

8 0

3 years ago

In 2011, Americans spent approximately $50.9 billion on their pets. Of this amount, $14.1 billion was for veterinarian bills. Wh

alex41 [277]

Answer: The percent of the total was spent on veterinarian bills is 27.70% ( approx).

Step-by-step explanation:

Given, In 2011, Americans spent approximately $50.9 billion on their pets.

i.e. Total amount they spent on pets = $50.9 billion

Amount spent for veterinarian bills. = $14.1 billion was for veterinarian bills.

Then, the percent of the total was spent on veterinarian bills would be :

$\dfrac{\text{Amount spent for veterinarian bills. }}{\text{Total amount they spent on pets}}\times100\\\\=\dfrac{14.1}{50.9}\times100\\\\=27.7013752456\approx27.70\%$

Hence, the percent of the total was spent on veterinarian bills is 27.70% (approx).

5 0

3 years ago

Can you please help me

finlep [7]

Answer:

x=10

Step-by-step explanation:

8x+10=6x+30

8x-6x=30-10

2x=20

x=10

3 0

3 years ago