Answer:
28°
Step-by-step explanation:
In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:
124+2x=180
2x=56x=28°
Please brainlest!
St=d
s=d/t
t=d/s
so we have several things:
distance of alfredo
speed of alfredo
time of alredo
distance of louisa
speed of louisa
time of louisa
we will represen them as follows
distance of alfredo=d1
speed of alfredo=s1
time of alredo=t1=2=t2
distance of louisa=d2
speed of louisa=s2
time of louisa=t2=2=t1
d=distance
t=time
total d=15 miles
t=2 hours
they both walk towards each other
louisa's speed is 1 mile per hour more than Alfredo so s2=s1+1
so we also have
d1+d2=15
s2=s1+1
t1=t2=2
we want to solve for s1 and s2
d=st
d1=(s1)(2)
d2=(s2)(2)
subsitute s1+1 for s2
d2=(s1+1)(2)
put back ino equation
(s1)(2)+(s1+1)(2)=15
distribute
2s1+2s1+2=15
2(s1)+2(s1)+2=15
add like terms
4(s1)+2=15
subtract 2 from both sides
4(s1)=13
divide both sides by 4
s1=13/4=3 and 1/4 mph
s2=s1+1
s2=3 and 1/4
s2=4 and 1/4 mph
check
d=st
t=2
alfredo's distance=(3 and 1/4) times 2=6 and 1/2
louisa's distance=(4 and 1/4) times 2=8 and 1/2
6 and 1/2+8 and 1/2=6+1/2+8+1/2=14+1=15
Alfredo's walking speed=3 and 1/4 miles per hour
Louisa's walking speed=4 and 1/4 miles per hour
aka
Alredospeed=3.25 mph
Louisaspeed=4.25 mph
17mm is the answer.
To solve this:
1.) Find the radius of the entire pencil.
The radius of the graphite is .75 (half the diameter) and the thickness of the wood is 2, so 2 plus .75 gives you a total radius of 2.75.
2.) Using this radius, find the circumference of the entire pencil using the equation C = 2 • pi • r.
C = 2 • pi • r
C = 2 • 3.14 • 2.75
C = 17.27 (17 is the answer after rounding to the nearest millimeter)
The surface area of each face of a sugar cube is 1*1 = 1 units²
The rectangular box has 6 faces in contact with sugar cubes.
The area of each of two faces is 18*6 = 108 units²
Therefore these two faces touch 2*108 = 216 cubes
There are two other faces each of area 18*8 = 144 units²
Therefore these two faces touch 288 cubes.
There are another two faces, each of area 6*8 = 48 units².
Therefore these faces touch 96 cubes.
The total number of cubes touching the faces of the box are
216 + 288 + 96 = 600
Answer: 600 cubes
164*.047 is 7.708 rounded to the nearest cent its $7.71