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3 years ago

What's the answer???????

Mathematics

1 answer:

Liula [17]3 years ago

6 0

For question number one:
We know that in similar triangles, corresponding sides are proportional.
In this scenario we have two triangles- one made by a stop sign and a shadow and one by a tree and its shadow.
The side of the triangle that is represented by the shadow of the stop sign is proportional to the side of the larger triangle represented by the shadow of the tree.
Also, the side of the smaller triangle that is represented by the height of the stop sign is proportional to the side of the bigger triangle represented by the height of the tree.
Using this information we can conclude that 12/42=18/h
By cross multiplying: 12h=42(18)
solve for h: (42)(18)/(12)=h
calculate: h=63
The height of the tree is 63 ft.

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

denis-greek [22]

Let $x$ be the distance from the left wall to the laser source and $y$ the distance form the right wall to the laser source.

We can use the cosine trigonometric function in the smaller triangle to relate the adjacent side of the angle and the hypotenuse; then we can solve for $x$ :
$cos( \alpha )= \frac{adjacent.side}{hypotenuse}$
$cos(60)= \frac{x}{40}$
$x=40cos(60)$
$x=20m$

We can use the tangent trigonometric function in the larger triangle to relate the opposite side of the angle and its adjacent side; then we can solve for $y$ :
$tan( \alpha )= \frac{opposite.side}{adjacent.side}$
$tan(45)= \frac{80}{y}$
$y= \frac{80}{tan(45)}$
$y=80m$

Now we can add both distances:
$20m+80m=100m$

We can conclude that the distance between the walls is 100 m.

8 0

4 years ago

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be i

Svetllana [295]

Answer:

Step-by-step explanation:

6 0

3 years ago

Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?

Fofino [41]

Answer:

x^2 + x + 1 + (2/ x -1)

Step-by-step explanation:

Use the divisor and find x :

x - 1 = 0 **add 1

x= 1

Now we will use the 1 in dividing:

take the coefficients from in front of all terms

** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1| 1 0 0 1 **bring the first number down

____________

1 **multiply the boxed number by the first number and add it to the second number

1| 1 0 0 1

____+1_____ **repeat with the rest of the terms

1 1

1| 1 0 0 1

___+1_+1_+1

1 1 1 2

**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.

**since there is a remainder, rewrite it divided by the original divisor

final answer:

x^2 + x + 1 + (2/ x -1)

8 0

3 years ago

Read 2 more answers

Question 1 (1 point)

Elena L [17]

Its a translation otherwise known as a slide

5 0

3 years ago

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

lord [1]

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15
a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

Then the first term is:

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 22
1/3n = 22 - 13
1/3n = 9
n = 9*3
n = 27

7 0

3 years ago