Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown, Round to the nearest tenths place.
12

Answer:

34 °

Step-by-step explanation:

∠D = 71°

∠G = 37°

In ΔGEF

Using angle sum property of triangle : Sum of all angles of triangle is 180°

∠G+∠E+∠F = 180°

Since ΔGEF is right angled triangle at F so, ∠F = 90°

Now, 37°+∠E+90° = 180°

127°+∠E= 180°

∠E= 180°-127° =53°

Now ∠E+∠D = 53°+71°  = 124°

Now using exterior angle property in ΔABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles

∠E+∠D is the exterior angle of  ΔABC

So, ∠A+∠B = ∠E+∠D

since  ΔABC is right angled triangle at B so, ∠B = 90°

∠A+90° = 124°

∠A = 124°-90°

∠A = 34°

Hence the measurement of angle A is 34 °

Assuming the following is a triangle, A = 72°

All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

Answer:

15 oz.

Step-by-step explanation:

It says that the average box contains 15 oz. So, if you have 50, it still would be about 15 as the average.

Answer:

2,4

Step-by-step explanation:

Answer:

she uses 12×5=60 grapes

Answer:

30

Step-by-step explanation:

5 grapes : 2 strawberries

5 : 2

x : 12

x = (5 × 12) ÷ 2

x = 30

1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be

2.d=24 ||| the smaller triangle once again is 75% of the bigger one.

3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.

4. DE=8  AC=20 ||| The smaller triangle is half of the bigger one.

1. 6 is 75% of 8 and 12 is 75% of 16.

2. 18 is 75% of 24

3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3  of 60

4. 10 is 1/2 of 20; 1/2 of 16 is 8

Hope this helps.

Answer:

x = annual membership fee = $79

y = price per visit = $12

Step-by-step explanation:

Let

x = annual membership fee

y = price per visit

Brian:

x + 8y = 175

Samantha:

x + 13y = 235

x + 8y = 175 (1)

x + 13y = 235 (2)

Subtract (1) from (2) to eliminate x

13y - 8y = 235 - 175

5y = 60

y = 60/5

y = 12

Substitute y = 12 into (1)

x + 8y = 175 (1)

x + 8(12) = 175

x + 96 = 175

x = 175 - 96

x = 79

x = annual membership fee = $79

y = price per visit = $12

Answer:

Real number

Rational number

Step-by-step explanation:

Answer:

a) x = 3

b) z = 10

c) p = 2

d) x = 7

e) u = 1

Step-by-step explanation:

a) 2x = 6

Despejamos x dividiendo por 2 a amabos lados de la eacuacion.

(2/2)x = 6/2

x = 3

Si remplazamos x en la ecuación original:

2(3)=6

6 = 6

Queda demostrado.

b) 10 + z = 20

Despejamos z restando 10 en amabos lados de la eacuacion.

10-10+z = 20-10

z = 10

Si remplazamos z en la ecuación original:

10 + 10=20

20 = 20

Queda demostrado.

c) p + 9 = 11

Despejamos p restando 9 en amabos lados de la eacuacion.

p + 9 - 9 = 11-9

p = 2

Si remplazamos p en la ecuación original:

2 + 9 = 11

11 = 11

Queda demostrado.

d) 3x + 8 = 29

Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.

3x+8-8 = 29-8

3x = 21

(3/3)x = 21/3

x = 7

Si remplazamos x en la ecuación original:

3(7) + 8 = 29

21 + 8 = 29

29 = 29

Queda demostrado

e) 2u + 8 = 10

Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.

2u+8-8 = 10-8

2x = 2

(2/2)x = 2/2

x = 1

Si remplazamos x en la ecuación original:

2(1) + 8 = 10

2 + 8 = 10

10 = 10

Queda demostrado

Espero te haya sido de ayuda!

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

[tex] \frac{7}{13} \times 260[/tex]

=140

for the second angle

260-140=120

Answer:

4.71 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the above question,

r = QR = 3 units

θ = angle QRS= 90 = 90°

The length of the arc is calculated as:

2 × π × 3 × 90/360

= 4.7123889804 units

Approximately to the nearest hundredth = 4.71 units

Answer:

74%

Step-by-step explanation:

How I did it is divided 37 and 50 (37/50 = 0.74)

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

Answer:

1921.67

1922 to the nearest whole number

Step-by-step explanation:

Cylinder

V = pi*r^2 * h

pi = 3.14

r = d/2

r = 12/2

r = 6

h = 13

V = 3.14 * 6^2 * 13

V = 1469.52

1/2 Sphere

V= 2/3 * pi * r^3

r = 6

pi = 3.14

V = (2/3) 3.14 * 216

V = 452.2

Total Volume

V_tot = 452.2 + 1469.52

V_tot = 1921.67

Answer:

15 dimes, 12 quarters

Step-by-step explanation:

d + q = 27

.10d + .25q = 4.5

solve by substituting '27-q' for 'd'

.10(27-q) + .25q = 4.5

2.7 - .1q + .25q = 4.5

.15q = 1.8

q = 1.8/.15

q = 12

d = 27-12 which is 15

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

--------------------------------------------------------------------------------------------

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Answer:

132 cm squared

Step-by-step explanation:

for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24

the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60

the bottom rectangle do the same thing except 6 times 8 and there is only one so 48

add all areas together to get 132

Answer:

aabbb

Step-by-step explanation:

because a x 2 aa b x 3 bbb so aabbb

Answer:

Step-by-step explanation:

Correct choice is C

Step-by-step explanation:

These problems are about like terms.  Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.

1.  12m + 24m = 36m

2.  90a - 30a = 60a

Example:  6k + 8k + 10 = 14k + 10  (the part of the expression that's just a number does not combine with the parts that have variables).

3.  29b + 8

4.  36d + 25  (the terms with d in them combine--they don't have to be back-to-back)

5.  This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.

3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f

6.  20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t

    = 313 + 128t

Answer:

x = 9

hope it helps

I'm soo sad :(

Answer:

D. 120

Step-by-step explanation:

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

9 + 2 = 11. 11 is how old Kelly is in 2 years.

1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.

Here is the full equation.   K = Kelly.    M = Kellys Mom

9k = m

2k + 9k = m + 2m

11k = m + 2

11k = [tex]\frac{m}{3}[/tex]

M + 2 = 33

     -2    -2

m = 31

Answer:

$13,304

-We use the compound interest function to determine the rate of growth.

-Given that the amount doubles in 13 years, the annual growth  rate is calculated as:

We now substitute this value of i in the compound interest formula equation to solve for future value:

Hence, the future value to the nearest dollar is $13,304

*You can alternatively use the exponential growth function:

This is slightly off by just $1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.