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3 years ago

Please give me answer please

Mathematics

1 answer:

777dan777 [17]3 years ago

7 0

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Which of the following equations are identities? Check all that apply.

11111nata11111 [884]

Answer:

B. CSCX= sinx / 1

D. tanx= sin x / COS x

Step-by-step explanation:

A. sec x= 1/cos(x)

CSC X / 1 = sin(x)

B. CSCX

sinx / 1 = csc(x)

C. tanx= sin(x) / cos(x)

secx = 1 / cos(x)

D. tanx= sin(x) / cos (x)

sin (x) / cos(x)

4 0

4 years ago

Find the perimeter of quadrilateral a(-5, 4), b(0, 3), c(4,-1), d(4,-5)

snow_lady [41]

Explanation:
Let us divide the quadrilateral formed by
A
(
6
,
5
)
,
B
(
2
,
−
4
)
,
C
(
−
5
,
2
)
and
D
(
−
3
,
6
)
in two parts,
Δ
A
B
C
and
Δ
A
C
D
.
Now let us find the lengths of their sides.
A
B
=
√
(
2
−
6
)
2
+
(
−
4
−
5
)
2
=
√
16
+
81
=
√
97
=
9.8489
B
C
=
√
(
−
5
−
2
)
2
+
(
2
+
4
)
2
=
√
49
+
36
=
√
85
=
9.2195
A
C
=
√
(
−
5
−
6
)
2
+
(
2
−
5
)
2
=
√
121
+
9
=
√
130
=
11.4018
Now as
s
1
=
1
2
(
9.8489
+
9.2195
+
11.4018
)
=
1
2
×
30.4702
=
15.2351
And area of
Δ
A
B
C
=
√
15.2351
(
15.2351
−
9.8489
)
(
15.2351
−
9.2195
)
(
15.2351
−
11.4018
)
=
√
15.2351
×
5.3862
×
6.0156
×
3.8333
=
√
1892.2545
=
43.5
A
D
=
√
(
−
3
−
6
)
2
+
(
6
−
5
)
2
=
√
81
+
1
=
√
82
=
9.0554
C
D
=
√
(
−
5
+
3
)
2
+
(
2
−
6
)
2
=
√
4
+
16
=
√
20
=
4.4721
s
2
=
1
2
(
9.0554
+
4.4721
+
11.4018
)
=
1
2
×
24.9293
=
12.4647
And area of
Δ
A
C
D
=
√
12.4647
(
12.4647
−
9.0554
)
(
12.4647
−
4.4721
)
(
12.4647
−
11.4018
)
=
√
12.4647
×
3.4093
×
7.9926
×
1.0636
=
√
361.2547
=
19.01
Hence area of quadrilateral
A
B
C
D
is
43.5
+
19.0
=
62.5
units.

4 0

3 years ago

Solve 8x + c = k for x. O A. X = B(k -C) O kto B. X = 8 O C. X = ķ-6 8 D. x = 8(K+c)

hjlf

Answer: x = k-c/8

Step-by-step explanation:

APEX

5 0

3 years ago

Question is in the attachment!<br>(sorry if it's really blurry, I was kinda in a rush!)

Mamont248 [21]

Answer:

5pt=2cups

1qt.=2pt

Step-by-step explanation:

I hope that's right

5 0

3 years ago

Please give me answer please ​

Please give me answer please