What is the area of this composite figure?
5 cm
12 cm
3 cm
3 cm
2 cm
2 cm

Answer:

1

Step-by-step explanation:

⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)

The above expression can be simplified as follow:

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

Recall:

a LogM = Log Mᵃ

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)

= Log(5/2) – Log(4/25) + Log(16/25)

Recall:

Log M – Log N = Log M/N

Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)

Log(5/2) – Log(4/25) = Log (5/2 × 25/4)

Log(5/2) – Log(4/25) = Log (125/8)

Therefore,

Log(5/2) – Log(4/25) + Log(16/25)

= Log (125/8) + Log(16/25)

Recall:

Log M + Log N = Log MN

Log (125/8) + Log(16/25)

= Log (125/8 × 16/25)

= Log 10

= Log₁₀10 = 1

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= 1

Answer:

A. 25°C

Step-by-step explanation:

C=5/9(77-32)

C=5/9(45)

C=25°C

To convert from Celsius to Fahrenheit. We apply the following formula:

[tex]\bf{^{\circ}C= \dfrac{5}{9}(^{\circ}F-32) \ \longmapsto \ Formula }[/tex]

We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.

[tex]\bf{^{\circ}C= \dfrac{5}{9}(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77. }[/tex]

[tex]\bf{^{\circ}C= \dfrac{5}{9}\times45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9 }[/tex]

[tex]\bf{^{\circ}C=25}[/tex]

So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".

Answer:

17

Step-by-step explanation:

This is Pythagorean Theorem. AB is the "a" side, BC is the "b" side, and the x (or AC) is the hypotenuse. In Pythagorean Theorem, a^2 + b^2 = c^2  is used to find the hypotenuse, or in this case, segment AC. We find this by doing 8^2 + 15^2 which gives us 289. We then take the square of that which is 17 to find the hypotenuse, or the length of line segment AC

Brainliest pls

Answer:

11?

Step-by-step explanation:

The missing side is 4 so 4+4+3=11.. Maybe?

Answer:

4^2 +3^2 =5^2

=25

Step-by-step explanation:

Pythagorean Theorem.

Answer:

m = 105 / 5 = 21

Step-by-step explanation:

Answer:

A (NO)      B(YES)    C(YES)

Step-by-step explanation:

Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.

Answer:

132/115

= 1 17/115

hope this helps

Answer: =3y−6.5z−9

Step-by-step explanation:

Answer:

Monday hours        +    Thursday hours         =      Total hours

            1 1/2                 +        2 3/4                   =       3 +    (? how do you add 1/2+3/4)

 Now, you could convert to all improper fractions:

               3/2                 +        11/4

               6/4                 +         11/4               [4 is the Least Common Multiple of 2 and 4]

                           17/4

                           4 1/4                                   [then back to mixed numbers]

 Or. you could add 1+2=3

     and    1/2  +  3/4

              2/4   +  3/4

                    5/4

                 1 1/4        [convert to mixed number]

         3 + 1 1/4  = 4 1/4        [remember to add the 3]

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

¡¡espero que esto ayude!!

Answer:

83/100

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1*18 2*9 3*6

Answer:

1,f

2,t

the last one just use photo math

Step-by-step explanation:

Answer: 2/2

Step-by-step explanation:

6 x 2/2 =6

Answer:

C

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

15.7/5=3.14

Answer:

it is B

Step-by-step explanation:

Answer:

Can you show us the statements?

Step-by-step explanation:

Answer: B)  4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why choice B is the answer.

Side note: 25/6 = 4.167 approximately

Answer:

This is the math riddle for pi..

Step-by-step explanation:

They mean by this question,  What do you get if you divide the circumference of a pumpkin pie by its diameter?

Pi is the ratio of circumference and the diameter.  and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.

We don’t really need the diagram at this stage of course.

The internal angle is  180o−360o / 24=180o−15o =1 65o . Half of this is  82.5o . The perimeter is now  24x  so we have:

24 x /h  = 24 / tan(82.5o) Rather remarkably:

So tan(82.5o) =√+2 + √+3+√+4+√+6

24 x / h = 24    / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421

Taking a few more steps:...very long detail explanation.

Answer:

8

Step-by-step explanation:

Answer:

150 trees

Step-by-step explanation:

If 40% of the trees is 300, you'd expect that 20% (half the percentage) is also half the trees.

Answer:

150 trees

Step-by-step explanation:

40 % / 2 = 20%

300 / 2 = 150 trees

Answer:

X= 1.25

13.75 + 5= 18.75

20 - 18.75= 1.25 OR 1.25 + 18.75 = 20

Step-by-step explanation:

Answer:

a [tex]A = 30 + 0.45 n[/tex]

b [tex]A = 90.3[/tex]

c 0 customers

Step-by-step explanation:

Given

[tex]Base\ Amount = 30[/tex]

[tex]Rate = 0.45[/tex] per customer

Solving (a): Amount (A) on n customers

This is calculated as:

[tex]A = Base\ Amount + Rate * n[/tex]

[tex]A = 30 + 0.45 * n[/tex]

[tex]A = 30 + 0.45 n[/tex]

Solving (b): Amount on 134 customers

In this case: n = 134

So:

[tex]A = 30 + 0.45 * 134[/tex]

[tex]A = 30 + 60.3[/tex]

[tex]A = 90.3[/tex]

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

[tex]A = 30 + 0.45 n[/tex]

[tex]30 = 30 + 0.45n[/tex]

Collect like terms

[tex]0.45n = 30 - 30[/tex]

[tex]0.45n =0[/tex]

[tex]n = 0[/tex]

Answer:

D) 500 square feet

Step-by-step explanation:

20x40=800

30x10=300

800-300=500

Answer:

500 square feet

Step-by-step explanation:

Walk way A=bh

A=40 times 20

A=800

garden

A=30 times 10

A=300

Now subtract walkway from the garden. 800 - 300= 500

Answer:

[tex]Probability = \frac{1}{11}[/tex]

Step-by-step explanation:

Given

Marbles = 12

Selection without replacement

Required

Determine the probability of selecting 2 primes

Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11

So, when the first marble is picked, the probability that it will be prime is:

[tex]P(First) = \frac{4}{12}[/tex]

Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:

[tex]P(Second) = \frac{3}{11}[/tex]

The required probability is:

[tex]Probability = P(First) * P(Second)[/tex]

[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]

[tex]Probability = \frac{1}{11}[/tex]

Answer:

number of fourths in 3, 3÷ 1/4

Step-by-step explanation:

It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are

Answer:

what genre babe‍♀️

Answer:

It depends on a lot what kind you like and if u have watched a lot

the promised Neverland

Black Clover

Aot

HxH

Monster

Code grass

The classroom of the elite

Psycho pass season 1 only

COMEDY

The disastrous life of saiki k

Kaguya sama love is war