What is the area of this

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]

[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]

[tex]m=\sqrt{\frac{64}{3}}[/tex]

[tex]m=\frac{8}{\sqrt{3}}[/tex]

[tex]m=\frac{8\sqrt{3}}{3}[/tex]

Thus,

Therefore, option D is true.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). 10 = [tex]\frac{1+7x}{7+x}[/tex]

   10(7 + x) = 1 + 7x

   70 + 10x = 7x + 1

   10x - 7x = 1 - 70

   3x = -69

   x = -23

2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]

    0.2(12 + x) = 6 + 2x

    2.4 + 0.2x = 6 + 2x

    2.4 - 6 = 2x - 0.2x

    1.8x = -3.6

    x = -2

3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]

    0.8(x + 0.5) = x

    0.8x + 0.4 = x

    x - 0.8x = 0.4

    0.2x = 0.4

    x = 2

4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]

    3.5(0.5 - x) = 4 + 2x

    1.75 - 3.5x = 4 + 2x

    -3.5x - 2x = 4 - 1.75

    -5.5x = 2.25

     x = -[tex]\frac{2.25}{5.5}[/tex]

     x = - [tex]\frac{9}{22}[/tex]

Answer:

no,i don't think about it

Answer:

2/7 become obese by eating it every day.

Step-by-step explanation:

Answer:

15 cats

proportion 3x : 5x

in this case x= 5

Step-by-step explanation:

divide 25 by 5

=5

now you know the factor is 5

multiple 3 by 5

=15

Answer:

A. SAS

Step-by-step explanation:

Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).

Answer:

When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.

Answer:

27.883

Step-by-step explanation:

75.847

-47.964

27.883

Answer:

Adélie penguins= 826,680

Step-by-step explanation:

Giving the following information:

Total penguin population= 1,503,054

Adélie penguins= 55%

To calculate the number of Adélie penguins, we need to use the following formula:

Adélie penguins= total penguin polulation*proportion of Adélie penguins

Adélie penguins= 1,503,054*0.55

Adélie penguins= 826,680

Answer: -3.73

Step-by-step explanation:

Hope it's correct.

Glad I could help!

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

[tex]\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07[/tex]

So,

[tex]\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665[/tex]

Hence, the final answer is 76.665.

Answer:

12, 16, and 20

Step-by-step explanation:

These are the answers because:

1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).

2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.

Therefore, the answers are: 12, 16, and 20

Hope this helps! :D

Answer:

12, 16, 20

Step-by-step explanation:

I answered before but for some reason, my answer was deleted. The other person deserves brainliest though, they gave the best answer.

Answer:

75%

Step-by-step explanation:

24/32 = .75 move decimal twice to the right to change to %

= 75%

Answer: 127^9 so 8594754748609400000

Step-by-step explanation: i’m not sure but 4+6 (7x3)-3 = 127 127^9

Answer: first one

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

Answer:

ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

just took the test

Your total monthly payment would be; 1,500 dollars.

Monthly Rent means the monthly installments of the Annual Minimum Rent and the estimated annual utility bills payable by the Lessee under this Rental Agreement.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We are given that  You have a gross lease of $1,000 per month. Also, Taxes and maintenance total $500 per month.

we need to calculate the your total rent payment.

Therefore, we know that;

Rent= base payment + percent of revenue

       = 1,000 + 500

       = 1500

Hence, we can conclude that the monthly rent should be 1500 dollar.

Learn more about rent here:

brainly.com/question/10132345

#SPJ6

Answer:

3.43ft

Step-by-step explanation:

Step one:

given data

the expression for the area is

A = πr²

make r subject of the formula

divide both sides by π

A/π =r²

square root both sides

r=√A/π

step two:

given that  A= 37 ft^2

r= √37/3.142

r=√11.77

r=3.43ft

Answer:

Step-by-step explanation:

steps are below

step 1

(2x+1)^2 - (x+3)^2  equation

step 2

4x^2+4x+1+(-x^2)+(-6x)+(-9)  distribute

step 3

4x^2+4x+1+(-x^2)+(-6x)+(-9)

(4x^2+-x^2)+(4x+(-6x)+(1+(-9)  combine the like terms

3x^2-2x-8

Answer:

False.

:D

幸運を！

Answer:

Step-by-step explanation:

The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.

Given :

Sarah has 30 bills in her wallet worth $240, all fives and tens.

The following steps can be used in order to determine the total number of fives bill and tens bills:

Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.

Step 2 - The linear equation that represents the total number of bill is given by:

x + y = 30

x = 30 - y        --- (1)

Step 3 - Now, the linear equation that represents the total amount of the bill is given by:

5x + 10y = 240     ---- (2)

Step 4 - Substitute the value of 'x' in equation (2).

5(30 - y) + 10y = 240

150 - 5y + 10y = 240

5y = 90

y = 18

Step 5 - Substitute the value of 'y' in equation (1).

x = 30 - 18

x = 12

So, the total number of fives bills is 12 and the total number of tens bills is 18.

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

x = -7

Step-by-step explanation:

Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.

Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.

Therefore, use the equation below to solve for x:

180 = 54 + 85 + (48 + x)

x = 180 - 54 - 85 -48 = -7

Answer: y=−2−4x

Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!

Answer:

2

Step-by-step explanation:

1 +1 = 2

Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

2x + 10 = 2x - 10

0x = -20

no solution

Answer:

1tan is 10sin

OK OK OK.

follow please

Answer:

sqrt65+17

Step-by-step explanation:

a^2+b^2=c^2

a^2+4^2=9^2

a=sqrt65

perimeter = sqrt65+97

Hope this helps plz hit the crown :D