The measure of an angle is 56°. What is the measure of its complementary angle?

Answer:

[tex]x=0.1 ~ft[/tex]

Step-by-step explanation:

[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]

[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]

[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]

[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]

[tex]=0.1152[/tex]

[tex]x=0.1[/tex]

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hope it helps

have a great day!!

Answer: 9.7

Step-by-step explanation: I got this question right

70+30 = 100

B = 180 - 100 - 20

B = 60°

80+20 = 100

C = 180 - 100 - 30

C = 50

DB/sin100 = 8/sin(60)

8*sin(100)/sin(60)

DB = 9.0973

DC/sin(30) = 8/sin(50)

8*sin(30)/sin(50)

DC = 5.22163

x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]

x = 9.7

Answer:

area of a triangle

1/2 base ×height

1/2×15×8.5

=63.75cm ^2

Answer:

63.75cm^2 / square centimeters

Step-by-step explanation:

The area of a triangle is calculated by multiplying 1/2 times the base, times the height.

A = (1/2)(base)(height)

A = (0.5)(15)(8.5)

A =63.75

Answer:

Number of wooden carving = a

Total amount Sam spend = 1,200 + 4a

Total revenue of Sam = 15a

Number of wooden carving make to earn profit $4,300 = 500 carvings

Step-by-step explanation:

Given:

Sales price of each wooden carving = $15

Fixed cost = $1,200

Variable cost = $4 for each

Find:

Number of wooden carving make to earn profit $4,300

Computation:

Part 1

Assume

Number of wooden carving = a

Part 2

Total amount Sam spend = 1,200 + 4a

Part 3

Total revenue of Sam = 15a

Part 4

Total profit of Sam = Total revenue of Sam - Total cost of Sam

4,300 = 15a - [1,200 + 4a]

4,300 = 15a - 1,200 - 4a

11a = 5,500

a = 5,500 / 11

Number of wooden carving make to earn profit $4,300 = 500 carvings

Answer:

Weathering

Step-by-step explanation:

Weathering is when water, ice, or wind wear/break down rock into smaller pieces and into sediments.

Answer:

132 sq units

Step-by-step explanation:

Answer:

Subtract 1/3 from 2/3 dont forget to add the variable h!

1/3h + 11 = 8

-11            -11

1/3h = -3

Now we multiply by 3 on both sides

H = -9

Answer:

109.3 ft

Step-by-step explanation:

Remembering SOHCAHTOA

We would be using sin

sin = opposite / hypotenuse

sin 40 = x / 170

0.6428 = x/170

x =  0.6428  x 170 = 109.3 ft

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

236+590=

Step-by-step explanation:

236

+590

700+120+6=820 ɨ tɦɨռҡ

Answer:

45, 000 J o 45 KJ

Step-by-step explanation:

Recordemos que trabajo realizado = fuerza * distancia

En este caso, fuerza = peso del objeto

Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N

Por eso;

Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ

Answer: D) The sum of a number and twelve

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

Explanation:

r = an unknown number

r+12 = sum of the unknown number and 12

The term "sum" refers specifically to the result of an addition problem.

As another example, saying 2+3 = 5 has a sum of 5.

Answer:

x = 2

Step-by-step explanation:

OK so lets do it together.

2x = -2x + 8

Subtract 8 from both sides

2x - 8 = -2x

Add 2x to both sides

4x - 8 = 0

Add 8 to both sides

4x = 8

Divide each side by 4

x = 2

Check:

4 = -4 + 8

4 = 4

correct

If my answer is incorrect, pls correct me!

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Answer:

$324.19

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Price = $475

Price tag down = 35%

Tax = 5%

So, price after tag down = $475 - ( $475 × 35%)

= $475 - $166.25 = $308.75

Now, we calculate tax value after price tag down,

Tax value = $308.75 × 5% = $15.44

So, we can calculate the bed cost by using following formula,

Bed cost = Price after tag down + Tax value

= $308.75 + 15.44

= $324.19

9×9+6×6

81+36

√117

10.816

nearest tenth=10.8cm

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. The number are x = -6 and y = 9.

A linear equation is an equation in which each term has at max one degree.

Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane

with axes of those variables, give a straight line.

It is given that the sum of two numbers is 3.

x + y = 3

Also, twice the larger number is 36 more than three times the smaller number, then

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

By substituting for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

now, divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

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The total area of the room and the sitting room is 286.93 feet squared

The figure above is a composite figure as it has both rectangle and a semi circle.

The area of the figure(sitting room) is as follows:

total area = area of rectangle + area of semi circle

area of rectangle = lw

where

Therefore,

l = 15 ft

w = 14 ft

area of rectangle = 15 × 14 = 210 ft²

Area of semi circle = πr² / 2

Area of semi circle = 3.14 × 7² / 2

Area of semi circle = 3.14 × 49 / 2

Area of semi circle = 153.86 / 2

Area of semi circle = 76.93 ft²

Area of the sitting room and room= 210 + 76.93 = 286.93 ft²

learn more on area here: https://brainly.com/question/8140198

Answer:

Step-by-step explanation:

I think it's b

Answer:

17/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24

multiples of 3 = 6 9 12 15 18 21 24

After applying some properties of logarithm the correct expression for the given logarithmic equation we get is 3x = log₂ 10.

Use the concept of  logarithm defined as:

The logarithmic function is the opposite of the exponentiation of that function.

It can be mathematically defined as:

For [tex]x > 0 , a > 0[/tex], and [tex]a\neq1[/tex],

[tex]y= log_a x[/tex] if and only if x = ay

Then the function is given by

[tex]f(x) = log_a x[/tex]

Where a is the base of function.

The given expression is:

[tex]2^{3x} = 10[/tex]

Take log both sides,

[tex]\text{log } 2^{3x} = \text{log } 10[/tex]

Since we know that,

[tex]\text{ log} a^n = n\text{ log} a[/tex]

Therefore,

3x log 2 = log 10

Dividing both sides by 2

3x = log10/log2

Since we know that,

[tex]\text{log} _a b = \dfrac{\text{log}_c b}{\text{log}_c a}[/tex]

Therefore,

3x = log₂ 10.

Hence,

The correct expression is 3x = log₂ 10.

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Answer:

70 cm^3

hope this helps

have a good day :)

Step-by-step explanation:

base=length and width so 7 x 10=70 cm3

Answer:

Step-by-step explanation:

[tex]sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x[/tex]

Answer:

c

Step-by-step explanation:

280/2016 * 13000000

answer is option d 2.8 million

Answer:

Less than

Step-by-step explanation:

EX:

1/2 * 1/2 = 1/4

1*1 = 1

2*2 = 4

when you multiply two fractions, you get a fraction of a fraction.

Answer:

$49.14 is the total amount

$3.64 is the sales tax

Step-by-step explanation:

45.5 x 0.08 = 3.64

45.5 + 3.64 = 49.14

Answer:

[tex]height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm[/tex]

We get a triangle of height 12 cm and adjacent 16 cm

[tex]side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm[/tex]

Answer:

side=√(24/2)²+(32/2)²

=√12²+16²

=√400

= 20

Use solving math

Link:

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