Answer: 380 ft^2
Step-by-step explanation:
Length of sides of square=25
Diameter of semicircle=25
Radius=r=25/2=12.5
π=3.14
Area of square=length x length
Area of square=25 x 25=625
Area of semicircle=0.5 x π x r x r
Area of semicircle=0.5 x 3.14 x 12.5 x 12.5
Area of semicircle=245.3125
Area of shaded portion=area of square - area of semicircle
Area of shaded portion=625-245.3125
Area of shaded portion=379.6875
Area of shaded portion=380ft^2
approximately
Answer:
4 x^5 - 6 x^4 + 4 x³ - 6 x² =
Answer: 1 ) 2 x² ( x² - 1 ) ( 2 x - 3 )
Answer:
67.5 - 67.5 - 45 °
Step-by-step explanation:
Sum of INTERIOR angles of a polygon
(n-2) * 180 <====<u>ya just have to remember/know this !</u>
n is the number of sides n = 8 in this case
(8-2)*180 = 1080 ° < === this is the SUM of the 8 interior angles
EACH interior angle is then 1080 / 8 = 135 °
you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each
so the triangle measurements are
67.5 - 67.5 - 45 ( they have to sum to 180 for triangle)
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1 is the first term
n is the numbers of terms
for n=3 a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1
for n=7 a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2
multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3
add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6) (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4
the answer is
a1=4
d=-6
<span>
</span>
Answer:
Step-by-step explanation:
We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.
To find Sally's temperature we will use z-score formula.
, where 
= Mean, 
= Standard deviation.
Let us substitute our given values in z-score formula.
Multiply 0.62 to both sides of equation.
Add 98.20 to both sides of equation.
Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.
