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3 years ago

A fire truck parks 30 feet

Mathematics

2 answers:

aliina [53]3 years ago

4 0

Answer:

about 33.5 feet tall

Step-by-step explanation:

use pythagorean's theorem:

a^2+b^2=c^2

plug in values:

30^2 + b^2 = 45^2

(we know the ladder extends diagonally so 45 is the hypotenuse meaning we plug it in for c)

rearrange the equation:

b^2= 45^2 - 30^2

b^2= 2025 - 900

b^2 = 1125

b= $\sqrt{1125} \\$

b= 33.5

Marianna [84]3 years ago

3 0

Answer:

34 ft. tall

Step-by-step explanation:

Your first step should to draw a diagram. When you do that, your diagram should look like a right triangle, the leg, or the distance from the firetruck to the building, (we'll call this a) should be 30ft. and the hypotenuse, or the ladder (we'll call this c), should be 45ft.

Now we have a visual so it'll be easier.

We know that this problem is a right triangle and we know that to solve for a missing side of a right triangle you use pythagorean theorem: a^2+b^2=c^2

We know one leg 'a' and the hyp. 'c' and we just need to find 'b' the other leg (aka the building):

Plug in numbers and simplify:

30^2+b^2=45^2

900+b^2=2025

b^2=1125

≈33.54 OR 34 ft. tall

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Jordan was driving down a road and after 4 hours he had traveled 82 miles. At this speed, how many miles could Jordan travel in

babymother [125]

You can use a proportion.

4 hours is to 82 miles as 14 hours is to x miles

4/82 = 14/x

Cross multiply to get

4x = 14 * 82

4x = 1148

x = 287

287 miles

8 0

3 years ago

Read 2 more answers

HELP PLEASE!!!

True [87]

Answer:

The graph of f(x) is shifted k units to the right of the graph of g(x).

Step-by-step explanation:

Given the function and where k <0.

As, horizontal depends on the value of x and are when

g(x)=f(x+h) graph shifted to left.

g(x)=f(x-h) graph shifted to right.

Now, given

But here k is negative, when k is considered positive then f(x) becomes

⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).

Correct option is B.

6 0

3 years ago

How many solutions does the system of equations below have? y = −6x + 9 y = 9/8x − 3

torisob [31]

Answer:

1 solution

Step-by-step explanation:

A system of two equations can be classified as follows:

1) If the slopes are the same but the y-intercepts are different, the system has no solution.

2) If the slopes are different, the system has one solution.

3) If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions

Hope this helps you

4 0

3 years ago

What is the measure of PSQ in degrees? Angle PSR measures 99°.

11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR= $99$ °

m∠PSR= $(3x+18)+(9x-27)$ °

$99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees$

Step 2

Find the value of m∠PSQ

m∠PSQ= $(3x+18)$

m∠PSQ= $(3*9+18)$

m∠PSQ= $45$ °

therefore

the answer is the option

C) 45 degrees

8 0

3 years ago

Read 2 more answers

Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r

pogonyaev

Answer:

$R_5=1.12$

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

$f(x)=x^2+x$

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

$\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}$

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

$\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12$

3 0

2 years ago