Answer:
8.090169944 or rounded 8.1
Step-by-step explanation:
Use SOH CAH TOA
Look at x and where it is and what you have.
First thing is to get an angle to use, 36, then to set up your equation.
___(36)=___
Figure out what you have.
You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.
You set up your equation using COS, as you are using CAH.
Cos(36)=x/10
X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse
Switch it around to make it equal to x
10*Cos(36)=x
You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.
Round however is needed.
Answer:
347 is the initial spider population
Step-by-step explanation:
y = ab^x
is the formula for exponential growth and decay
a = the initial value
b is the growth or decay rate
b>1 it is the growth rate (b-1) is the percent
0<b<1 it is the decay rate (1-b) is the percent
y = 347(1.2)^x
347 is the initial spider population
(1.2-1) = .2 = 20 % growth rate
Answer:
18g - 8
Step-by-step explanation:
Multiply using the distributive property.
Answer:
20
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 8 inches
Width = 5 inches
Height = 2 inches
Volume of rectanglular prism = length × width × height
= 8 inches * 5 inches * 2 inches
= 80 inches ³
Dimensions of another rectangular prism:
Length = 16 inches
Width = 10 inches
Height = 10 inches
Volume of rectangular prism B = length × width × height
= 16 inches * 10 inches * 10 inches
= 1,600 inches ³
Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A
= 1,600 inches ³ ÷ 80 inches ³
= 20
Number of prism A that fits into prism B = 20
They are both equal because the zeros don't count after the number 5.
