Answer:
23ft approx
Step-by-step explanation:
Given data
Distance from tree= 10ft
Length of ladder= 25ft
We can find the height of the tree by applying the Pythagoras theorem
z^2= x^2+y^2
z= The height of the ladder
x= The distance from the tree
y= The height of the tree
25^2= 10^2+ y^2
625=100+y^2
625-100=y^2
525=y^2
y= √525
y= 22.91
Hence the height of the tree is 23ft approx
Answer:
6500
Step-by-step explanation:
1 US ton is 2000 pounds so multiply that by 3.25 and you get 6500
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
<h3>Option A</h3><h3>3x - y = -5 is the equation of the line with a slope 3 and y intercept 5</h3>
<em><u>Solution:</u></em>
<em><u>The slope intercept form of equation is given as:</u></em>
y = mx + c ------ eqn 1
Where,
m is the slope of line
c is the y intercept
From given,
slope = m = 3
y intercept = c = 5
<em><u>Substitute m = 3 and c = 5 in eqn 1</u></em>
y = 3x + 5
3x - y = -5
Thus the equation of line is found
A coyote had 10 pups in her third litter. (10)
It was twice as many as in her second litter,( 2( second litter) = third litter
her second litter had 3 more pups than her first.( first litter +3)=2nd litter
Find the number of pups in her litter