All categories

3 years ago

Please help with number 1

Mathematics

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

19.0681

Step-by-step explanation:

Given in the question that,

angle from ted to the dog = 60° with the ground

height of ted from the ground = 16ft

To find,

distance between dog and the door of ted's building

Considering the scenario make a right angle triangle:

<h3>By using pythagorus theorem:</h3>

Tan 40 = opposite / adjacent

Tan 40 = height / distance between dog and the door

Tan 40 = 16ft / x

x = 16 / tan40

x = 19.068057

x ≈ 19.0681 (nearest to thousand)

So, the dog need to walk 19.0681ft to reach the open door directly below Ted.

You might be interested in

Consider a circle that has a circumference of 28/3.14 centimeters. What is the area of this circle? Answer fast plz also can you

bija089 [108]

Answer:

$A=6.33\ cm^2$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=\frac{28}{3.14}\ cm$

$\pi=3.14$

substitute the values

$\frac{28}{3.14}=2(3.14)r$

$r=\frac{28}{19.7192}\ cm$

$r=1.42\ cm$

step 2

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

substitute the values

$A=(3.14)(1.42)^{2}$

$A=6.33\ cm^2$

7 0

4 years ago

Find 4 consecutive even integers such that when three times the smallest of the intagers is added to twice the largest their sum

zhannawk [14.2K]

If x is the first of the integers then the statement is:

(x) , (x+2) , (x+4) , (x+6)

This means that the smallest is x and the largest is x + 6

so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?

Wait remember how x started as the lowest? what if x was the highest instead?

x, x-2, x-4, x-6
so:

3(x-6) + 2(x) = 293
5x = 315
x = 62.2

This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.

3 0

3 years ago

Find each unit rate.<br> 4/5of a chapter in 3/10 hour

ZanzabumX [31]

Answer:

8/3mph

Step-by-step explanation:

you must multiply both fractions by the reciprocal of 3/10 which is 10/3

(4/5 * 10/3) / (3/10 * 10/3)

(40/15) / (30/30)

(8/3) / 1

8/3 /1 = 8/3

8 0

2 years ago

Figure A is a scale image of Figure B. What is the value of x?

Arte-miy333 [17]

X=30
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.

8 0

3 years ago

WhAt is the equation of the linr with a slope of 6 and y -intercept of -2

Murljashka [212]

Slope: 6
y int: -2

y=6x-2

4 0

3 years ago