What is the height of a triangle if the base is 10 cm and the sides are 13 cm
Answers
that means
2 sides=13 cm
base=10
since 2 sides equal legnths, isocolees
draw a line from the top angle, opposite the base side, perpendicular to the base
you will form 2 right triangles each with a base of 10/2=5 and a hypotonuse of 13 solve for other leg
a^2+b^2=c^2
c=hypotonuse=13
a=10=1 leg
b=mystery leg (height)
10^2+x^2=13^2
100+x^2=169
subtract 100 from both sides
x^2=69
take square root of both sides
x=√69
it would be safe to put √69 as the answe since it cannot be simplified into a whole number (about 8.3066238629181)
Apply the Pythagorean Theorem
5^2 + h^2= 13^2
25+h^2= 169
h^2= 144
h=12
FYI there are familiar combinations for right triangles, might be worthwhile to check them out, it will save a lot of time.
Some examples are 3,4,5 / 5,12. 13 / 9,40,41 etc
Hope this helps
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Convert 21.7 kilometers to centimeters.
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A pie is cut in such a way that one piece, which is one quarter of the pie, is twice as large as each of theother pieces. How many pieces of pie are there?A 4 B 5C 6D 7
0.285 to the nearest tenth
Answers
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P
from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)
equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y=
Answers
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of , so that is what we are multiplying.
g(x) = |x - 2| - 1
^That is your transformed function.
#teamtrees #PAW (Plant And Water)
Answers
(x^4 + 5x^2 -36) = 0 (2x^2 +9x-5)=0
(x^2 -4) ( x^2 +9) = 0 (2x-1) ( x+5) = 0
(x-2) (x+2) (x^+9) = 0 (2x-1) (x+5) = 0
So from this w get :
x = 2 , -2
x= 1/2
x = -5
x= 3i , -3i
and write them in the cells
the card is worth $166.75.
Assuming the pattern continues, write an equation to define A(n), the amount of money on the
rental card after n rentals.
Caitlin rents a movie every Friday night. How many weeks in a row can she afford to rent a movie,
using her rental card only? Explain how you arrived at your answer.
Answers
The equation A(n)= $175 –(n x $2.75) would define the amount of money on the
rental card after (n) rentals.
According to the pattern given, $2.75 will be deducted to the rental card every after Caitlin rents a movie. We can simply divide the amount of the card which is $175 by $2.75 which we presume the rental fee. From that, we can have a result of 63.63 rentals using her card. Therefore, there will be 63.63 weeks Caitlin can afford to rent a movie.
Answers
Given r = 40 mm
A = π(40)^2 = 5026.55 sq. mm
Population density = bacteria count / area
PD = 2,100 / 5026.55
PD = 0.417782 bacteria / mm sq.
Therefore, the answer is approximately 0.418 bacteria per square millimeter.
Answers
because of the way the fractions are written, just add the top numbers