A 4 pointed star is created with for isosceles triangle and a square as shown below if the height of each triangle is 3 inches in one side of the square is 2 inches what is the area in square inches of the star

A 4 Pointed Star Is Created With For Isosceles Triangle And A Square As Shown Below If The Height Of

Answers

Answer 1

Answer:

16 square inches

Step-by-step explanation:

Given

Triangle (4)

[tex]Height = 3[/tex]

[tex]Base = 2[/tex]

Square (1)

[tex]Length = 2[/tex]

Required

The surface area of the star

This is calculated as the area of the square added to the area of the 4 triangles.

The area of the square is:

[tex]Area =Length^2[/tex]

[tex]A_1= 2^2[/tex]

[tex]A_1= 4[/tex]

[tex]The\ area\ of\ 1[/tex] of the triangles is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]A_2 = 0.5* 3 * 2[/tex]

[tex]A_2 = 3[/tex]

For the 4 triangle, the area is 4 * A2

So, the total area is:

[tex]Total = A_1 + 4 * A_2[/tex]

[tex]Total = 4 + 4 * 3[/tex]

[tex]Total = 4 +12[/tex]

[tex]Total = 16[/tex]


Related Questions

The total cost for one t the total cost for a dozen donuts includes the cost to make the donuts and the cost of the box. Create expression to model the cost for one dozen donuts where T represents the total surface area of the box

Answers

The Answer is 6.5
11 I jus took the test

The expression that represents the total cost of the donuts is: c + d

How to determine the total expression?

To determine the expression that represents the total cost, the following parameters are needed

The cost of the donut boxThe cost of the donut, itself

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

Read more about algebraic expressions at:

https://brainly.com/question/4344214

middle school problems and i need help ​

Answers

Answer:

A. 47%

Step-by-step explanation:

The total amount of people who preferred indoor seating was 70. The total amount of people sureveyed was 148. So 70 divided by 148, or 70/148, is

0.47 =47%

A.47%


I hope this helped!

Please answer this for 15 points :) <333

Answers

Answer:

A.

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = [tex]\dfrac{1}{5}[/tex]

Time to run each lap = [tex]\dfrac{1}{15} \ of \ an \ hour[/tex]

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

[tex]Speed = \dfrac{distance}{time}[/tex]

[tex]Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}[/tex]

[tex]Speed ={\dfrac{1}{5}\times \dfrac{15}{1}[/tex]

Speed =  3miles / hour

As such, Elena can run 3 miles each hour.

Please help me i dont understand ​

Answers

Answer:

It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.

It’s a linear because the line is straight and linear, when you take of the ar, it’s line. Nonlinear means not a line. The line would not be straight and the line will a curve. Like noodles. Noodles aren’t straight, but when you make it straight it’s a linear.

15 PROPERTIES OF A PARALLELOGRAM PLS. I NEED IT FOR NOW 15

Answers

Answer:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Number of sides = 4

Number of vertices = 4

Mutually Parallel sides = 2 (in pair)

Area = Base x Height

Perimeter = 2 (Sum of adjacent sides length)

Type of polygon = Quadrilateral

The opposite sides are parallel and congruent

The opposite angles are congruent

The consecutive angles are supplementary

Each diagonal bisects the parallelogram into two congruent triangles

Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law

Please brianliest! Also, I gave you 2 extra facts   :)

Size of each of mr sirac's classes

Answers

Answer:

You didn't add any images maybe it was a mistake?

Step-by-step explanation:

A root emerges from a seed because of the force of?

Answers

A root emerges from a seed because of the Force of Hydrotropism.

Here a root emerges from a seed.

What is Hydrotropism?

The growth or movement of a fixed organism, especially a plant, or a part of an organism towards or away from water, is called Hydrotropism.

A root emerges from a seed because of the Force of Hydrotropism.

Learn more about the Hydrotropism visit:

https://brainly.in/question/710216

#SPJ6

According to a health statistics​ center, the mean weight of a​ 20-to-29-year-old female is 156.5​ pounds, with a standard deviation of 51.2 pounds. The mean weight of a​ 20-to-29-year-old male is 183.4​ pounds, with a standard deviation of 40.0 pounds. Who is relatively​ heavier: a​ 20-to-29-year-old female who weighs 160 pounds or a​ 20-to-29-year-old male who weighs 185​ pounds

Answers

mind fact sub happy wala birthday quiz frist video

What is the next term in the
arithmetic sequence below?
15, 8, 1, -6,...
A - 15
B - 13
C – 12
D 1

Answers

Answer:

B -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

hope it helps you.good day

Find the measure of angle x 142

Answers

Answer:

x= 142°

I hope it's helps you

Answer:

x = 142°

(x and 142° are vertically opposite angles.)

A high school soccer goalie blocked the ball from going into the goal 4 out of 5 times if the ball was kicked toward the goal 40 times how many blocks did the goalie make ​

Answers

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of the week on which the accident occurred. Data consistent with information on the Insurance Institute for Highway Safety are given in the following table.
Day of the Week Frequency
Sunday 16
Monday 12
Tuesday 12
Wednesday 13
Thursday 14
Friday 15
Saturday 18
a. Based on these data, is it reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was not the same for all days of the week? Use a significance level of 0.05.
b. Write interpretation

Answers

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b. It is reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

What is the volume of this rectangular prism 2/3cm 5cm 6cm?

Answers

V = 20 cm ^3

multiply 6 cm by 5 cm by 2/3 cm and your answer is 20cm^3

Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?

Answers

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

Please help if you can

Answers

Answer:

maybe option 1st

Step-by-step explanation:

Hope this will help you dear.

Answer:

3

Step-by-step explanation:

the triangle is a right triangle, meaning that we can use the pythagorean theorem to find a hypotenuse that will satisfy both Rs. if we use 3 as the radius, we get the hypotenuse as 2 + 3 = 5, where one leg is 3 and one is 4.

[tex] \sqrt{} 3 {}^{2} + 4 { }^{2} = 5 [/tex]

so we know that a radius of 3 is right

HELP WILL GIVE BRANLIEST!

Answers

Answer:

512

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length × width × height

= 8 × 8 ×8

= 512

solve the equation 9x^⅔+4x^⅔=27​

Answers

I THINK it’s x = ±1/27 or ±8, again I’m not sure if I did the math correct but this is what I got

Please help me solve this problem

Answers

Answer:

62 + 64 + 55 + s = 242

61 students will ride Bus #4.

Step-by-step explanation:

The equation I will use here is 62 + 64 + 55 + s = 242

62 + 64 + 55 + s = 242 {Going from left to right, subtract 62, 64, & 55 from 242}

64 + 55 + s = 180 {242 - 62 = 180}

55 + s = 116 {180 - 64 = 116}

s = 61 {116 - 55 = 61}

61 students will ride Bus #4.

someone help me answer this!!

Answers

Answer:

11.4 units is your answer :)

Sarah uses a recipe to make 8 gallons of her favorite mixed-berry juice. The containers she plans to use to
store the juice have a capacity of 1 pint.
How many containers will Sarah need?
Sarah will need
containers

Answers

sarah will need 64 pints

Can somebody help me?

Answers

Answer:

C) v≤-5

Step-by-step explanation:

[tex]4v\leq -20[/tex]

Divide each side by 4,

[tex]v\leq -5[/tex]

I need help please.

Answers

Answer:

that anzwer will be (9) ok

Answer:

D.

Step-by-step explanation:

if 4200 out of 5600 person's voted in an election the percentage which did not vote was​

Answers

Answer:

25%

Step-by-step explanation:

If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.

5600-4200=1400

Then you can set up the number of people who didnt vote as equal to a percentage over 100

1400/5600=x/100

140000/5600=x

25=x

Given sin 0 = ā, find cos 0.
✓[?
cos e
=
ө

Answers

Step-by-step explanation:

when you look at the graphic and the right-angled triangle :

sine is the length of the vertical leg (opposite of the associated angle) divided by the length of the Hypotenuse (the baseline opposite of the 90° angle), because the sine function values are defined for the norm circle with radius 1. for any larger circle (or triangle inscribed in such a larger circle), we get the basic trigonometric function values by measuring the sides and norming to a radius of 1 (dividing them by the length of the actual radius).

cosine is the horizontal leg (at the "bottom").

the same principle applies. the cosine value is the length of that leg divided by the length of the Hypotenuse.

we know from the given ratio for sine, that the length of the Hypotenuse is 6.

so, we know 2 sides of the right-angled triangle :

the vertical leg is 5, the Hypotenuse is 6.

now, we use Pythagoras to get the horizontal leg :

6² = 5² + leg²

36 = 25 + leg²

11 = leg²

leg = sqrt(11)

and so cosine of the angle is

sqrt(11)/6

a line that passes through the point (-3, -6) has a slope of 4/3. which is another point on this line?

Help it's due today​

Answers

A line that passes through the point (-3, -6) has a slope of 4/3. Which is another point on this line?

(3, 3)(0, 6)

Two tracking stations 525 m. apart measure angles of elevation of a weather balloon to be 73.5 degree and 54.2 degree. How high is the balloon at the time of the measurement? Round to the nearest meter.(show your work)

Answers

9514 1404 393

Answer:

  516 m  or  1235 m

Step-by-step explanation:

The height of the balloon depends on the geometry of the problem. Assuming the stations are in line with each other and the balloon, there are a couple of possible configurations that satisfy the problem description. They are shown in the attachment.

If the balloon is between the stations, the height is 516 m.

If the balloon is not between the stations, the height is 1235 m.

_____

A graphing program solves the problem nicely. If you want to solve it algebraically, You can write equations for the horizontal distance from each station to the balloon.

  d1 = h/tan(54.2°)

  d2 = h/tan(73.5°)

In one of the possible geometries, ...

  d1 + d2 = 525

  h(1/tan(54.2°) +1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(54.2°) +tan(73.5°)) ≈ 516.0 . . . meters

In the other possible geometry, ...

  d1 -d2 = 525

  h(1/tan(54.2°) -1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(73.5°) -tan(54.2°)) ≈ 1235.3 . . . meters

The balloon could be 516 or 1235 meters high.

What is the qoutient of 6 and -1/2?

Answers

Answer:

5.5

Step-by-step explanation:

A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 miles away from the station. (Round your answer to the nearest whole number.)

Answers

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

5. Find the surface area of the prism.
(1 point)
5 m
6 m
13 m
Not drawn to scale.
048 m2
O 346 m2
0780 m2
O 195 m2

Answers

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *

Answers

Answer:

45

Step-by-step explanation:

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