3. The figure below is a composite shape that consists of a semicircle and an equilateral triangle (triangle
with sides that are all equal). Find the perimeter and area of the composite shape. Use 3.14 for pi.
Perimeter:
4cm
5cm
Area:

Answer:

We would use the Law of Cosines to solve the question.

m∠ W = 121.8°

Step-by-step explanation:

In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,

which law would you use?

The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.

Law of cosines when we are to find an unknown angle =

m∠ W = arc cos [u² + v² - w²/ 2uv]

m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]

m∠ W = 121.81159°

Approximately = 121.8°

Answer:

£58.75

Step-by-step explanation:

Given data

Cost = £50

VAT= 17 1/2%= 17.5%

Let us find the amount of the VAT

=17.5/100*50

=0.175*50

= £8.75

Hence the total cost of the compact disk is

=50+ 8.75

=£58.75

Answer:

284.96

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

At x = -2, y = 3

Answer:

Step-by-step explanation:25

Answer:

c

Step-by-step explanation:

Use the formula,

I = Prt

P = Principal amount = 400

I = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r = 0.06

so the annual interest rate is 0.06 or 6%

Answer:

D (42,-56)

Step-by-step explanation:

Scale factor means you multiply, so you multiply (6,-8) by 7.

6 x 7 is 42 and 7 x -8 is -56. So your answer is D (42,-56).  

Answer:

Your answer would be 686in

Step-by-step explanation:

I say this because were suposed to use the formula V= l x w x h nd when applied it looks like this 686in = 14 x 14 x 3.5. Your welcome

The Volume of Pizza box is 686 inches³.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

We have pizza box of shape Cuboid

length = 14 inches

width = 14 inches

height= 3.5 inches

So, Volume of box

= l x w x h

= 14 x 14 x 3.5

= 686 inches³

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Answer:

area = 12 m²

Step-by-step explanation:

area = L x W

area = 4 x 3 = 12 m²

Answer:

12m ²

Step-by-step explanation:

Area of rectangle = l × b

= 4m × 3m

= 12m²

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

Answer:

yeah ikr

Step-by-step explanation:

Answer: What’s the math problem

Step-by-step explanation:

Answer:

Your answer is 20

Step-by-step explanation:

as the formula 1/2*4*10=20.

hope it help you if yes then please make me the brainiest.

Thank you

parshv

Answer: 1

5+10=−20+1501+10−10=−20+150−10

Subtract the numbers

15=−20+140

15=−20+14015+20=−20+140+20

Combine like terms

35=140

35=1403535=14035

=4

Answer:

88

Step-by-step explanation:

create a proportion:

8/15 = x/165

cross-multiply:

15x = 1320

x = 88

Answer: it’s D

Step-by-step explanation:

Answer:

x= 8/5 or D

Step-by-step explanation:

edg 2021

Answer:

p=-5

Step-by-step explanation:

have a lovely day!!

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

Answer:

3y - 1 = 28 / 2

3y - 1 = 14

3y = 14 + 1

3y = 15

y = 15 / 3

y = 5

Hope that helps!

Answer:

B. -[tex]\frac{18}{b^4}[/tex]

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

Answer:

b

Step-by-step explanation:

Answer:

1;4

Step-by-step explanation:

2a=8b/2

1a=4b

you cant simplify any more so this is the answer

Answer:

y = 2

Step-by-step explanation:

Use the slope formula so y2-y1/x2-x1 = -6/5

so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6

Answer:

[tex]Total = 11m[/tex]

Step-by-step explanation:

Given

See attachment for dot plot

Required

The length of the 3 longest boards

From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2

The frequency is gotten by counting the total dots on each length.

So, the total is:

[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]

[tex]Total = 4m + 7m[/tex]

[tex]Total = 11m[/tex]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  

Answer:

4/8 is one half

Step-by-step explanation:

Answer:

can we do zoo mmmmmmm...

Answer:Number of students eating lunches other than salads or sandwiches= 10

Step-by-step explanation:

Number of students in the cafeteria=20

Number of students eating salads=1/10 X 20= 2

Number of students eating sandwiches= 2/5 x 20 = 8

Number of students eating lunches other than salads or sandwiches=

Number of students in the cafeteria -(

Number of students eating salads +Number of students eating sandwiches)

=20-(2+8)

=20-10

=10 students.

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

     y = price of child ticket

(1)    175x + 103y = 13796               (2)    2x + 2y = 184

                                                                 x + y = 92

                                                                       y = 92 - x

      175x + 103(92 - x) = 13796

      175x + 9476 - 103x = 13796

       72x = 4320

           x = 60                                                  y = 92 - 60

                                                                        y = 32

(a) The value of 9 + (1/2) /4 * 48

We have:

[tex]9 + (1/2) /4 * 48[/tex]

Evaluate the quotients

[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]

Evaluate the products

[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]

[tex]9 + (1/2) /4 * 48 = 15[/tex]

Hence, the value of the expression 9 + (1/2) /4 * 48 is 15

(b) If x = 2.7, 5x =

The value of x is given as 2.7.

So, we have:

[tex]5x = 5 * 2.7[/tex]

[tex]5x = 13.5[/tex]

Hence, the value of 5x is 13.5

(c) Equivalent expression of 12x - 8x + 3

The expression is given as: 12x - 8x + 3

So, we have:

12x - 8x + 3 = 4x + 3

Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3

(d) Equivalent expression of 3(x + 3y + 2x - y)

The expression is given as: 3(x + 3y + 2x - y)

So, we have:

3(x + 3y + 2x - y) = 3(3x + 2y)

Also, we have:

3(x + 3y + 2x - y) = 9x + 6y

Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y

(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3

We have: 1/2x^3 + 5.2y

So, the expression becomes

[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]

[tex]1/2x^3 + 5.2y = 19.6[/tex]

Hence, the value of 1/2x^3 + 5.2y is 19.6

(f) The commutative property of addition of 8 + 3m

The commutative property of addition of 8 + 3m is 3m + 8

(g) The algebraic expression for "5 times the sum of 2 and y?

The algebraic expression is 5(2 + y)

(h) The error of the student

The student's first error is in step 2: 4(2) + 4x(2)

(i) The statement that describes the expression 3 + y ÷ 2

The correct statement is (d) the sum of 3 and the quotient of y and 2

(j) The value of an expression

We have:

22 + 62 ÷ 22

Evaluate

22 + 62 ÷ 22 = 24.8

Hence, the value of the expression 22 + 62 ÷ 22 is 24.8

(k) Complete the blanks

We have: 34 + 2 ⋅ 5 = ____

Represent the blank with x

34 + 2 ⋅ 5 = x

Evaluate

44 = x

Hence, the blank is 44

(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the  (c) commutative property of multiplication

(m) The statement that best describes the expression 4y ÷ 9

The statement is: (c) 4 times y divided by 9

(n) The expression is equal to 5p

The expression is equal to 5p is (a) p + p + p + p + p

(o) The coefficient of y in the expression 2 ⋅ 4 + 3y

The coefficient of y in the expression is 3

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