Answer:
<em> 5 1/2 weeks </em>
Step-by-step explanation:
Given
Time it will take to complete the building = 85 1/4 hrs
Time he works on the house weekly = 15 1/2 hours
This can be expressed as
1 week = 15 1/2 hours
To calculate the number of weeks it will take to complete the house, we will say:
x = 85 1/4
Cross multiply
15 1/2 x = 85 1/4
31/2 x = 341/4
31x/2 = 341/4
Cross multiply again
31x * 4 = 2 * 341
124x = 682
x = 682/124
x = 5.5weeks
<em>Hence it will take Ryan 5 1/2 weeks to complete the house</em>.
A high outlier in a data sat causes the mean and median value to move slightly towards the outlier
3. (a.)
<span>Volume of block = 20 cm x 9 cm x 8 cm = 1440 cm^3 </span>
<span>(b.) </span>
<span>Volume of cylinder = pi * (radius)^2 * (height) </span>
<span>Plugging dimensions in: </span>
<span>Volume = pi * (10 cm/2)^2 * (15 cm) </span>
<span>= pi * (5 cm)^2 * (15 cm) </span>
<span>= 1178 cm^3 to the nearest centimeter </span>
<span>(c.) </span>
<span>Remaining volume = 1440 cm^3 - 1178 cm^3 = 262 cm^3 </span>
<span>Volume of cube = side^3 = 262 cm^3 </span>
<span>Taking cube root, side = 262^(1/3) = 6 cm to the nearest cm</span>
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer:
It is an acute angle. 15°
Step-by-step explanation:
because it has a small angle and is not very big.