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Leona [35]
3 years ago
13

If you place a 89-foot ladder against the top of a 80-foot building, how many feet will

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

\large \boxed{\text{39 ft}}

Step-by-step explanation:

Let x be the distance from the foot of the ladder to the base of the building.

We have a right triangle, so we can use Pythagoras' Theorem.

\begin{array}{rcl}80^{2} + x^{2}& = & 89^{2} \\6400+ x^{2} & = & 7921\\x^{2} & = & 1521\\x & = & \sqrt{1521}\\& = &\mathbf{39}\\\end{array}\\\text{The foot of the ladder will be $\large \boxed{\textbf{39 ft}}$ from the base of the building,}

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8x+5y=35 solve for y no work needed but you can show me the work if you want i will still look at it thank you in advance
solong [7]

Answer:

y=7-(8/5)x

Step-by-step explanation:

To solve for y we need to get Y on one side of the equation all by itself.  To start we can move the 8x to the side with the 35 by subtracting 8x on both sides which gets us to 5y=35-8x then we just need to get the 5 detached from the y and we will have solved for Y.  To do this we can divide by 5 on both sides to cancel out the 5 with the Y which leaves us with y=7-(8/5)x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

4 0
3 years ago
Read 2 more answers
in the six grade 54% of the are boys. there are 189 boys in the sixth grade. what is the total number of the students in sixth g
notka56 [123]

<h2>189 boys is 54%</h2><h2>x is 46%(100-54)</h2><h2>Cross multiply:</h2><h2>189*46%=54%*x</h2><h2>86.94=0.54x</h2><h2>x=161</h2><h2>189 boys 161 girls</h2><h2>350 altogether</h2><h2>Hope this helps plz hit the crown :D</h2>
6 0
3 years ago
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Planes S and R both intersect plane T .
neonofarm [45]
<h2>[A] Plane S contains points B and E.</h2>

False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

<h2>[B] The line containing points A and B lies entirely in plane T.</h2>

True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

<h2>[C] Line v intersects lines x and y at the same point.</h2>

False

As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

<h2>[D] Line z intersects plane S at point C.</h2>

True

As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

<h2>[E]  Planes R and T intersect at line y.</h2>

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.

7 0
3 years ago
Read 2 more answers
What does 10m and 13m make
MrMuchimi

Answer:

23m

Step-by-step explanation:

6 0
3 years ago
Kiki has 1/6 pound of blueberries and 5/8 pound of raspberries.
Darina [25.2K]

Answer: Did this all by myself 1/6 is closer to 0 and 5/8 is closer to 1/2 so the answer is 1/2  0 then 1/2 then 1/3 again

Step-by-step explanation:  

1/ 6   -5 /8 =(1 × 4  6 × 4)  – (5 × 3  8 × 3)  = 4 /24  – 15 /24  =  4 – 15  24 = – 11  24

7 0
3 years ago
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