A lawn is in the shape of a regular pentagon. It is made from 5 pieces of turf that are congruent triangles. Each triangle has an area of 19 in.2. What is the area of the lawn?

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

Answer:

The answer is C!

Step-by-step explanation:

n! = 120

n = 5

Answer:

c 5

Step-by-step explanation:

Took the test

Answer:

<BFC and <DCA

Step-by-step explanation:

Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Answer:

x = -10, x = -6

Step-by-step explanation:

[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

Answer:

33 cubes

Step-by-step explanation:

The first layer is 5 1/2 x 3 = 16 1/2

Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33

Answer:

x = 9

Step-by-step explanation:

tan 53° = 12/x

x = 12/tan 53°

x = 9.04

Answer:

The image of the window can be seen below:

In the image we can see that the window can be separated in:

One rectangle of 4ft by 5 ft

Two half-circles (that if we add we get a complete circle) of diameter D = 4in.

First, we know that for a rectangle of length L and width W, the area is:

A = L*W

Then the area of our rectangle is:

A = 4ft*5ft = 20ft^2

And for a circle of diameter D, the area is:

A' = 3.14*(D/2)^2

In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:

A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2

Then the total area of the window is:

Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2

And we know that each square foot of glass costs $12, then  32.56 square foots of glass will cost  32.56 times $12

Then the total cost is:

C = 32.56*$12 = $390.72

Answer:

2. 7238.23 mm

3. 55.42 ft

4. 703.86 ft

Step-by-step explanation:

Answer:

1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2

Answer:

yoi

Step-by-step explanation:

yoi

Answer:

 [tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

Hi there!

»»————-　★　————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————-　★　————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————-　★　————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

----------------------------

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ2

Answer:

Which subject is optional in the morning??

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

Answer:

3:45pm

Step-by-step explanation:

the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.

Answer:

y = -5/4x + 3

Step-by-step explanation:

Answer:

Your answer is 211.8

Step-by-step explanation:

We've made a right triangle so the equation is a²+b² = c²

141²+158² = c²

141²+158² = 44845

Then you square root it

√44845 = 211.8

Answer:

(40 x 50) + (2 x 1) = 2,000 + 2

Step-by-step explanation:

Answer:

Here we want to solve:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

First, remember the two expansions:

(a + b)^2 = a^2 + 2*a*b + b^2

(a - b)^2 = a^2 - 2*a*b - b^2

Using these relations, we can expand:

(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2

( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2

Replacing that in our equation, we geT:

(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2

We can simplify this to get:

2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2

2*cos(A)^2 + 2*sin(A)^2 = 2

We can take the 2 as a common factor to get:

2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2

Now we can divide both sides by 2:

2*( cos(A)^2 + sin(A)^2)/2 = 2/2

cos(A)^2 + sin(A)^2 = 1

And this is a trigonometric property that is true for any value of A.

So the equality:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

is true for any real value of A.

Answer:

14

Step-by-step explanation: