Solve for x. Round to the nearest tenth.

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

10inches

Step-by-step explanation:

Let the length of one side of the square be  a

If the diagonal of a square is 10√2 inches

According to pythagoras theorem

a²+a² = (10√2)²

2a² = 100(2)

2a² = 200

a² = 200/2

a² = 100

a = √100

a = 10

Hence the length of one side of the square is 10inches

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

Answer: 40%

Step-by-step explanation:

I guessed on this but i got it right

Answer:

40%

Step-by-step explanation:

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Answer:

A. they will earn 385 dollars in interest in ten years

B. the accounts balance will be $3,885 after 10 years

Step-by-step explanation:

for part A, there are 2 possible answers, depending on what your looking for, if your looking for the percentage interest, then its 11%, but if your looking for how much they will make off of interest in 10 years, then the answer would be $385.  

Answer:

4

Step-by-step explanation:

If its 1/4 then you can use it 4 times to equal a whole yard

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

Answer:

b = P - c - a

Step-by-step explanation:

I think the answer is A, B, and E. I'm not sure if it is 100% correct.

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

Answer:

kk

Step-by-step explanation:

no pic

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer:

13m

Step-by-step explanation:

[tex]d=50tan(15)=13m[/tex]

The required distance from the boat to the foot of the light house, which is at sea level is 13meter

Given that,

The top of a light house 50 meters high,

The angle of depression of a boat out at sea has a measure of 15°.

We have to determine,

To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

According to the question,

The angle of depression may be found by using this formula = opposite/adjacent.

The opposite side in this case is usually the height of the observer or height in terms of location.

Therefore, angle of depression = 15degree

Height of the light house = 50m

The distance from the boat of the light house is denoted by d.

Then the distance from the boat of the light house is given as.

[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]

Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter

For more information about Trigonometry click the link given below.

https://brainly.com/question/2773823

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

Answer:

Y=-3x-11y

Step-by-step explanation:

Not sure but I am pretty sure it is this