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Margaret [11]
3 years ago
12

Find the area of the blue shaded region.

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

56

Step-by-step explanation:

area of whole figure=

l×b

=20×10

=200

also,area of small fig.

=l×b

=18×8

=144

thus area of shaded part =a of whole- a of small

=200-144

=56

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B<br> [2 0]<br> -2 5<br> What is the determinant of B?<br> Your answer
Marianna [84]

Answer:

10

Step-by-step explanation:

Determinant = ad - bc

\det\begin{pmatrix} 2 & 0 \\-2 & 5\end{pmatrix} =\begin{vmatrix} 2 & 0 \\-2 & 5\end{vmatrix} = 2\times5 + 0\times2 = 10

8 0
3 years ago
A cylindrial hole is cut through the cylinder below.
Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

V= \pi r^2h

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

V=V_1-V_2

V=\pi r_1^2 \times h-\pi r_2^2 \times h

V=\pi \times h \times (r_1^2-r_2^2)

Where

V_1 is the the volume of solid cylinder with radius r_1 and height h

V_2 is the volume of the cylinder being carved out with radius r_2 and height h

where

r_1 = 7 mm ( Half of the bigger diameter )

r_2 = 5 mm ( Half of the inner diameter )

h=25 mm

Putting these values in the formula for V we get

V=\pi \times 25\times (7^2-5^2)

V=3.14 \times 25 \times(49-25)

V=3.14 \times 25 \times 24

V= 1884

3 0
3 years ago
What is x + 5 equals 10
Wittaler [7]

x+5= 10

move +5 to the other side

sign changes from +5 to -5

x+5-5= 10-5

x= 10-5

x= 5

Answer:

x= 5

7 0
3 years ago
3 out of 4 students in Nayo's class have brought in permission slips for the next field trip. There are 32 students in the class
Marina86 [1]
8
3/4
x/32

Solve for x, = 24

Subtract 24 from 32
Also another way
4 x n = 32
n = 8
3x8 = 24
Subtract and same result
5 0
3 years ago
Read 2 more answers
Find the average rate of change, in people per year, for the population between the years 1900 and 1920.​
elena-s [515]

Step-by-step explanation:

the average change rate of a function f(x) in an interval [x1 .. x2] is

(f(x2) - f(x1)) / (x2 - x1)

in our case that is

(7000 - 2500) / (20 - 0) = 4500 / 20 = 225

the population changed in average by 225 people per year from 1900 to 1920.

5 0
2 years ago
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