Answer:
6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in
Step-by-step explanation:
6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:
1/2(10)=5
5*12=60 cm
72 is closest to this.
7) Volume is l*w*h, so:
2.5*1.5=3.75
3.75*4=15 cm
8) Again, the height is 5 and the base is 12. 1/2(b)h means:
1/2(12)=6
6*5=30 in
9) All triangles have 180 degrees. So first, add the degrees you know:
33.5+90=123.5
Now, subtract that from 180:
180-123.5=56.5
10) Trapezoids can be found by multiplying the height by the smaller base, so:
6*8=40 in
Hope this helped!
Answer:
<h2> The cost of a candy is $1.25</h2>
Step-by-step explanation:
given the total amount at hand is $25
let the price of candy be x
then the cost of 3 candy will be 3x
the cost of a candy snake is $12.50.
balance at hand after the end of buying $8.75
the total expenses summed up must equal the initial amount at hand which is $25
the expression for the scenario is 3x+12.5+8.75=25
3x+21.25=25
3x=25-21.25
3x=3.75
x=3.75/3
x=$1.25
The cost of a candy is $1.25
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
3(x2+2x-3)-4(4x2-7x+5)
3x2 + 6x - 9 - 16x2 + 28x - 20
-13x2 + 34x - 29
