Bianca calculated the height of the equilateral triangle with side lengths of 10.

tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.

A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.

The apothem, rounded to the nearest tenth, is
units.

The perimeter of the equilateral triangle is
units.

Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.

The calculated areas are
.

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.

Answer:

C on Edge or (1,-9)

Step-by-step explanation:

Answer:

29.5

Step-by-step explanation:

(5×35)+(5×24)/10

175+120/10

295/10

=29.5

Step-by-step explanation:

here's the answer to your question

Answer: x=2

Step-by-step explanation:

[tex]2x(9x-4)-3x(6x-7)=26\\18x-8x-18x+21x=26\\10x-18x+21x=26\\-8x+21x=26\\13x=26\\x=2[/tex]

Find the area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

The scale drawing is 2 square inches.

The area of the square draw will be 2 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.

Given that area is 900 ft. the developer hopes to sell the commercial space for $1,800,000, which would be equivalent to $1000 per 1 square foot (ft?) of the property's area.

The area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

Therefore, the area of the square draw will be 2 square inches.

To know more about an area follow

https://brainly.com/question/21459067

#SPJ2

Answer:

Call option and put option ( D )

Step-by-step explanation:

During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.

Call option is used when the trader is currently holding a short position

Put option is used when the trader is currently holding a long position

Answer:

One of the scenarios:

Answer:

-4

Step-by-step explanation:

a = 3

b = -4

c = -2

2a + 3b - c

= 2(3) + 3(-4) - (-2)

= 6 + (-12) + 2

= -4

Answer:

B. 0.44

Step-by-step explanation:

Tan = Opposite/Adjacent

Tan C = 7/16 = 0.4375 ≈ 0.44

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

Answer:

Length of the missing side is 13

I hope it's helps you

Use the Pythagorean theorem

? = sqrt(52^2 + 19^2)

? = sqrt(2704 + 361)

? = sqrt(3065)

Answer: sqrt(3065)

Answer:

2/3

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 12-18)/(20 -11)

   = -6/-9

 = 2/3

Answer:

Jack

Step-by-step explanation:

convert the fractions to decimals to determine the person that painted the larger part of the wall

5/8 = 0.625

7/12 = 0.583

the fraction Jack painted is larger.

Answer:

(B)5 is the correct answer for the question

Answer:

31.9

Your answer is 31.9.

it's nice helping uhh.

Answer:

31.9

Step-by-step explanation:

To round it to the nearest tenth, look at the hundredths place. Since it is 0, we cannot round up and therefore, the final answer is 31.9.

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

Step-by-step explanation:

Answer 1 to find the base to apply the Pythagoras theorem..of finding length..

Hypotenuse²= Base²+ Height²

So,

(H)²= (B)²+(H)²

12²= 8²+y²

144-64=y²

80=y²

√80= y

√2×2×2×2×5= y

2×2√5= y ( take one 2 from each pair)

4√5= y

hope it helps...

Answer:

4 sqrt(5); 41.0

Step-by-step explanation:

Question 7:

Using Pythagoras theorem:

y = sqrt(12^2 - 8^2)

y = sqrt(80)

y = 4 sqrt(5)

Question 8:

A = Area rectangle + Area circle

A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2

A = 10.56 + 9.68 pi

A = 41.0

Answer:

√8

Step-by-step explanation:

Pythagorean's Theorem says 2^2+2^2=4+4=8.

Answer:

So we know that this is a right isosceles triangle because 2 sides are equal and there's a 90 degree angle,

In an isosceles right triangle, the sides are in the ratio 1:1:[tex]\sqrt{2}[/tex]

a^2 + b^2 = c^2

We use the Pythagorean Theorem, where a and b are the legs and c is the hypotenuse.

2(2^2)=c^2

c=2[tex]\sqrt{2}[/tex]

Answer:

Cos Z = 7/25

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos Z = 14/50

Cos Z = 7/25

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

As the [tex]\triangle\sf{XYZ}[/tex] is a right angle traingle.

we know that,

[tex]\boxed{\underline{\sf{cos\blue{\theta}=\dfrac{adjacent}{hypertension} }}}[/tex] 

According to the question,

[tex]cosZ=\dfrac{adjacent}{hypertension}\\\\cosZ=\dfrac{14}{50}\\\\\pmb{\green{\sf{cosZ}=\frak{\dfrac{7}{25}}}}[/tex] 

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

Answer:

Step-by-step explanation:

12

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

Answer:

1 : 3 : 5

Step-by-step explanation:

Given

$150 : $450 : $750 ( divide each part of the ratio by $150 )

= 1 : 3 : 5

Answer:

biyotiptol graph by using pen

0,3 is the y-intercept (wich is always at x=0)

see screenshot for illustration.

you meant y-intercept, right?

Answer:

You will need to order 3.75 cubic yards of topsoil.

Step-by-step explanation:

Since you want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden, and the dirt store sells by the cubic yards, to determine how many cubic yards will you need to order given that the store only sells in increments of 1/4 cubic yards, the following calculation should be performed:

3 inches = 0.25 feet

15 x 26 = 390 x 0.25 = 97.5

1 cubic yard = 27 cubic feet

97.5 cubic feet = 3.61 cubic yards

3.75 = 1/4 x 15

Therefore, you will need to order 3.75 cubic yards of topsoil.

Answer:

320 minutes (5 hours and 20 minutes).

Step-by-step explanation:

2 hours and 17 minutes = 137 minutes

137 + 84 + 99 = 320

Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.