Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Tracy and Dave together complete the task in hours
Given Tracy alone take 8 hours to complete work and dave alone take 12 hours to complete the work.
Let's say together they worked in x hours
⇒in 1 hour they worked th part of the work
Tracy herself worked 8 hours to complete the whole task
⇒ in 1 hour Tracy completes th part of the task
Dave himself worked 8 hours to complete the whole task
⇒ in 1 hour Dave completes th part of the task
By proportions
⇒+= { using operation addition}
⇒ x=
Therefore,Tracy and Dave together complete the task in hours
Learn more about hour here:
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Answer:
The equation is;
d = 1.25s
Step-by-step explanation:
Here, we start by getting the price of a single song
From the question;
4 songs = $5
Thus, 1 song will be $5/4 = $1.25
So the proportionality constant is $1.25 per song
To write the relationship, we have;
d = 1.25s
Where d is the cost in dollars and s is the number of songs
Answer:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by =
where representslength of base, represents width of base and represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A)
Volume of prism =
B)
Volume of prism =
C)
Volume of prism =
D)
Volume of prism =
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
Easey
makes a right triangle with the building
hypotonuse is 13
and the height and base are the legs
we know that
for a right triangle with legs lgnth a and b and hypotonuse legnth c
c²=a²+b²
c=13
a=2
b=h
13²=2²+h²
169=4+h²
minus 4
165=h²
sqrt both sides
√165=h
aprox 12.8452=h
about 12.85ft