Your dad says you can have a new puppy if you build the dog house. Before building, you need to determine the dimensions. Choose the dimensions of the base, the length, and the width of the dog house. Choose dimensions that you think are reasonable for whatever type of puppy you would get. Once you plan the base and walls, you need to decide on the height of the roof (represented by the dotted line in the image below). The roof is a triangle with two sides that are the same length.
Find the height of the roof using the dimensions you chose. You are hoping to put shingles on the roof and need to know what the square footage of the roof will be. Use the dimensions to calculate the area of the roof.

Hint: Remember to find the area of the entire roof.

Answers

Answer 1

Answer is 12 sq feet
Step by step
Roof is 36” x 24” which is 3’ x 2’
So 3 x 2 = 6 multiplied by 2 sides of roof
Total is 12 sq feet
————-
I made the roof peak with a 3” overhang over the entrance
I made the roof overhang the sides with 4”
—————-
So to find the hypotenuse (diagonal of the roof) I used the Pythagorean theorem.
a^2 + b^2 = c ^2
15^2 + 13^2 = c^2
394 = c^2
Take square root of both sides
C= 19.8 rounded to 20
I then added 4” overhang to each side for total diagonal of 24”

Answer 2

The area of Entire roof is 12 feet².

What is Pythagorean theorem?

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle)

Given:

As, the roof peak with a 3 and the roof overhang the sides is 4.

Now, Using Pythagorean theorem.

a² + b² = c ²

15² + 13² = c²

c² = 225+ 169

c = 19.8 (or 20)

So, the length of diagonal is 24.

Roof Dimension 36 x 24 or (

Area of Roof = 3 x 2

= 6 unit²

and, area of the entire roof = 2 x6 = 12 ft²

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

Related Questions

Is one-half of a square smaller than one-quarter of the same square? How do you know?

Answers

Answer:

Step-by-step explanation:

one-half is bigger than one-quarter of the same square

Find the area of the triangle.

Answers

Answer:

86.1yd

Step-by-step explanation:

area of a triangle= base*height/2

21*8.2=172.2

172.2/2=86.1

Answer:

86.1yd2

Step-by-step explanation:

area=1/2×b×h

a=1/2×21×8.2

a=86.1yd2

Factorise x²+8x+12plz give answer

Answers

Answer:

(x+6)(x+2)

Step-by-step explanation:

we have

ax²+bx+c

To factor parabolas we need to find a number that adds to b (or 8) and mulitplies to a*c (or 12)

The numbers 6 and 2 fit this criteria which means we have

(x+6)(x+2)

Answer:

i.d.k the answer so sorry

Step-by-step explanation:

knkn

Please help me solve this

Answers

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

What he said is correct

Please I need help.
Find the measure of the angle DCB in the rhombus ABCD.

Answers

Answer:

Step-by-step explanation:

its the same to DAB because it is in the opposite side to the DAB

Answer:

Step-by-step explanation:

In Rhombus, diagonals are angle bisectors.

So, ∠DAC = ∠CAB

∠A = ∠DAC+∠CAB

= 53 + 53

∠A = 106

In Rhombus, opposite angles are equal.

∠DCB = ∠A

∠DCB = 106°

Need help with math question 8th grade math

Answers

Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

y represents = $1.02.

I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!

Answer:

Step-by-step explanation:

x reprsents = 30 nickles

y represents = $1.02.

Determine the value of y, if x is-9.

Answers

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

3 1183 long division

Answers

= 394 R 1

= 394 1/3

1183 divided by 3 equals
394 with a remainder of 1

Question:
A soccer ball has a radius of 11 cm. What is the volume of the soccer ball in cubic centimeters? Use 3.14 for pi. Round your
answer to the nearest hundredth.

Answers

Answer:

V = 4/3 * pi * radius^3

= 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

Calculate the slope of the line that contains the points (-3, -2) and (7, 2)

Answers

Answer:

the slope= 2/5

the slope is 2/5

use the formula (y2-y1)/(x2-x1) to get the slope

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

Answers

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

[tex]2x=6[/tex]

[tex]x=\dfrac{6}{2}[/tex]

[tex]x=3[/tex]

Now,

[tex]BE=BD+DE[/tex]

[tex]BE=6+x[/tex]

[tex]BE=6+3[/tex]

[tex]BE=9[/tex]

Therefore, the measure of side BE is 9 units.

4 Mr. Von's 5th-grade class is going on a field trip. Each
student is given a name card to wear that is 1/4 foot wide 1/3 foot long

1/4foot x 1/3 foot = square foot

Answers

1/12 square feet is the correct answer1/4 x 1/3 = 1/12Please let me know if I am wrong.

Answer:

the answer is 1/12 square foot

Step-by-step explanation:

Pls help me with this my sister’s going to take my phone in 10 minutes and I will give brainleast

Answers

Answer:

What are the closer two numbers together the then you find the slope

Step-by-step explanation:

Answer:

1x-6

Step-by-step explanation:

Slope Form: Mx+b

Slope Formula: y2-y1/x2-x1

(4,-2) (5,-1)

-1-(-2)= 1

5-4=1

1/1=1

Y-intercept: -6

Hope this helps!

its a screen shot do do do doooo

Answers

Depends on what pi is.

It could be

50.24 yards (pi is rounded)

16π yards

What is the average rate of change of g over the interval [-2,4]

Answers

Answer:

Average = sum of all the observations

Total number of observations

Average = 2+4

Average = - 6

9° TERMINO DE 7.10.13

Answers

Answer:

djkdjdjfifkflkfkfuiririrkrkkr kfkrkrkrlrlrlrlrlrlfkkrkfllrkrkrkkrkfkkfkkrkrkrkkrkrkkr krkrkkkkrkfkkkkfkrkkfkfkfkkf ir rkkfikriffiriifi

Answer:

Evaluate

18 ER TM×2,130

[tex] {n}^{6} \times \frac{4}{25} {n}^{2} \times \frac{5}{4} {n}^{3} \times n[/tex]

Answers

Step-by-step explanation:

reduce the numbers by solving and add the powers

Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.

Answers

9514 1404 393

Answer:

24 cm²

Step-by-step explanation:

When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.

A = (1/2)(d1)(d2)

A = (1/2)(6 cm)(8 cm) = 24 cm²

The area of the kite is 24 square centimeters.

What is the line of reflection for the trapezoids?

On a coordinate plane, trapezoid A B C D has points (5, 4), (6, 4), (8, 3) and (5, 3). Trapezoid A prime B prime C prime D prime has points (1, 4), (0, 4), (negative 2, 3), (1, 3).

Answers

Answer:I believe it’s A(x=3)

Step-by-step explanation:

possible number of learners in the
in a village, the bell rings every 30 minutes at the Junior School and every 40
minutes at the High School Both schools start lessons at 8:00 am
At what times between 8.00 am and 2.30p.m do the bells both rring

Answers

Find multiples of 30 and 40:

30: 30, 60, 90, 120, 150

40: 40, 80, 120, 160

The least common multiple is 120, so every 120 minutes they willl both ring.

1 hour = 60 minutes:

120/60 = 2 hours.

The bells ring together every 2 hours.

8 + 2 = 10 am

10 + = 12pm

12 + 2 = 2 pm

The bells will ring together at am, 12 pm and 2 pm.

Answer:

Solution :-

At first common multiple of 30 an 40

[tex] \sf \to \: 30 = 30,60,90,120[/tex]

[tex] \sf \to \: 40 = 40,80,120[/tex]

Common Multiple = 120

Time taken = 120/60 = 2 hrs

Now,

8.00 + 2 = 10.00 am

10.00 + 2 = 12.00 noon

12.00 + 2 = 2.00 pm

[tex] \\ [/tex]

A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?

Answers

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height

Answers

Answer:

The area of the triangle

A = 5.25 square units

Step-by-step explanation:

Explanation:-

Given that the base of the triangle(b) = 3.5

The height of the triangle(h) = 3

The area of the triangle

[tex]A = \frac{1}{2} base X height[/tex]

[tex]A = \frac{1}{2} (3.5) (3)[/tex]

A = 5.25 square units

Help me please and thank you

Answers

True for one value: -1

True for no values: 0

True for all values: 5

EXERCISE 6.1
1. What will be the unit digit of the squares of the following numbers?
(i)81 -
(ii) 272 -
(iii) 799 -
(iv) 3853 -
(v) 1234 -
(vi) 26387-
(vii) 52698
(vii) 99880
(ix) 12796
(x) 55555-

Answers

Unit digit of a square of a number is equal to the unit digit of square of unit digit of that number.
So,
(i)81
- Unit digit of square of 81
will be 1
.
(ii)272
- Unit digit of square of 272
will be 4
.
(iii)799
- Unit digit of square of 799
will be 1
.
(iv)3853
- Unit digit of square of 3853
will be 9
.
(v)1234
- Unit digit of square of 1234
will be 6
.
(vi)26387
- Unit digit of square of 26387
will be 9
.
(vii)52698
- Unit digit of square of 52698
will be 4
.
(viii)99880
- Unit digit of square of 99880
will be 0
.
(ix)12796
- Unit digit of square of 12796
will be 6
.
(x)55555
- Unit digit of square of 55555
will be 5

.

There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay inside. The other 15 people voted to go outside in the rain. What percent of the class wants to go outside? Round to the nearest percent if needed.

Answers

Answer:

15/60×100=25%

Step-by-step explanation:

the number of students wanted to go outside/the whole number of students×100

15/60×100=25%

Rhea earned P9,876.88 a month while Jane earned P10,675.50. How much more did Jane earn month than Rhea?
1. What is asked in the problem?
2. What are the given facts?
3. What is the operation to be used?
4. What is the number sentence?
5. What is the correct answer

Answers

Don’t worry someone will come along and help you. Good luck and I hope you get it right

Factorise fully
X^2 - 25

Answers

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2-25 = x^2 - 5^2 = (x+5)(x-5)

rule: a^2 - b^2 = (a+b)(a-b)

retail price= $120
markup percent= 40%
what is the original cost

Answers

I believe it would be 72

just answer please hurry

Answers

Answer:

2.7 pages and 1.7 pounds of rice

Step-by-step explanation:

2.7 pages in one minute because 27/10=2.7

and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7

Help plsss!!!! Thnk you!!!!

Answers

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

Other Questions

given a list l in scheme with contents of (3 7 2 8). what will be returned if the command (cdr l) is executed? when enabling telemetry on a router, which router feature is essential to get the application data Question: Besides detecting fermentation, what other catabolic activity is detected with KIA?Answer:A) Nucleic acid hydrolysisB) Amino acid breakdownC) Lipid emulsification describes potentially life threatening fast and irregular heartbeat, compared to the fast but regular rhythm of tachycardia. electrocardiogram. Levi rolled a number cube labeled 1-6. The number cube landed on 1 four times, 2 two times, 3 one time, 4 two times, 5 three times, and 6 six times. Which experimental probability is the same as the theoretical probability? Please help please please Two opposing pressures that managers face when they compete in foreign markets are cost reduction and adaptation to local markets. Among Theodore Levitt's assumptions that would favor a global strategy is that consumers around the world are becoming less price-sensitive. A patient with a pH of 7.42, PCO2 = 55 mm Hg, [HCO3-] = 29 mEq/L does not have an acid-base imbalance. True or False Exercise 10-9B Determining the internal rate of return Ronnie Gentry, CFO of Odessa Enterprises, is evaluating an opportunity to invest in additional manu- facturing equipment that will enable the company to increase its net cash inflows by $250,000 per year. The equipment costs $858,270.25. It is expected to have a five-year useful life and a zero salvage value. Odessa's cost of capital is 10 percent. Required a. Calculate the internal rate of return of the investment opportunity b. Indicate whether Odessa should purchase the equipment Sort each word or phrase into the appropriate column, based on the type of rhetorical appeal it is associated with. statisticsLogosEthosPathoscase studiescredibilityexpertiseemotional languagepersonal storiesIntroDone Dorothea Inc. Is selling all of its bonds to a large pension fund. This an example of a(n) ____Placement Mrs. Garcia invests a total of $6331 in two savings accounts. One account yields 8.5% simple interest and the other 8% simple interest. Find the amount placed in each account if she receives a total of $517.68 in interest after one year. Which two changes would you expect as a result of the removal of a predator species?A. Decreased resource availability among prey speciesB. Increased competition among prey species[ C. Increased death rate among prey speciesD. Increased commensalism among prey species Can anyone help me answer this question?Define y as an explicit function of x; x + y + y^2 = x^2 Find the area of a triangle with the base of 3xy2 and a height of 4x4y. Use the formula: A=bh Which of these criticisms does the congresswoman in the video have about credit card interest rate hikes?a. Rate hikes often exceed legal limits.b. Consumers are never told what their rates really are.c. All credit card issuers raise rates in lock step.d. Rate hikes are often arbitrary. A particle moves along the x-axis in such a way that its position at time t for t > 0 is given by x (t) = 1/3t^3 -3t^2 + 8t. Show that at time t - 0 the particle is moving to the right Find all values of t for which the particle is moving to the left What is the position of the particle at time t = 3? When t = 3, what is the total distance the particle has traveled? A stock with a current market price of $50 and a strike price of $45 has an associated call option priced at $6.50. This call has an intrinsic value of _ and a time value of Multiple Choice $5; $1.50 $1.50; $5 $0; $6.50 $6.50; $ why does the wargrave frmo the book and then there were none kill all the victims because of justice andrews corp. ended the year carrying the most inventory. calculate andrews corp.'s dollars of additional revenue (in dollars) if all existing inventory were sold at the current prices. solve using the information in the production analysis in your inquirer.