Let
point
A----------------- > Bob
point
B----------------- > lamppost that is to Bob left
point
C----------------- > lamppost that is to Bob right
we know that
dAB=25 ft
dAC=30 ft
dBC=20 ft
see the attached
figure
we use the law of
cosines------------- > dBC²=dAB² +dAC² -2(dAB)(dAC)cos(alfa)
we have that
20²=25² +30² -2(25)(30)cos(alfa)--------
> cos (alfa)=(20²-(25² +30²))/(-2*25*30)
cos (alfa)=(400-(625 +900))/(-1500)= (400-(625 +900))/(-1500)=1125/1500=0.75
<span>alfa=arccos (0.75)= 41.4096 -------- > 41 °--------
> </span>∡ BAC
the answer
is 41 °
You can use the Pythagorean theorem to find this answer, by dividing 128 into two parts and finding the square roots of those. so 128/2 = 64 square root of 64 = 8
+
= 128 So your answer should be 8
<h2>
Explanation:</h2>
- Vertical stretch is a non-rigid transformation because it causes a distortion in the graph of the function.
- Translation is a rigid transformation because the basic shape of the graph is unchanged.
Let:
So, the transformations:
Vertical stretch by a factor of 2:
Translation 4 units right:
<h2>Learn more:</h2>
Transformations in real life problems: brainly.com/question/1033817
#LearnWithBrainly
Answer:
Step-by-step explanation:
You can make both equations equal and solve for the variable x, as you can see below:
Keep on mind that:
Then:
Apply the quadratic formula:
Substitute each value into one of the originl equations to find y, then:
Answer:
10 yellow marbles
Step-by-step explanation:
(y is the amount of yellow marbles)
y=2x-2
y=2(6)-2
y=12-2
y=10
