A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?

A Bluebird House Should Have A 5 Inch By 5 Inch Floor, A Height Ranging From8 Inches To 12 Inches, And

Answers

Answer 1

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²


Related Questions

Which multiplication equation can be used to solve
1/6 divided by 5

Answers

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?

Answers

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?

Answers

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Help pure people only

Answers

Answer:

Mini golf costs  $10 per round and batting cages cost $2.5 each turn.

Step-by-step explanation:

mini golf ([tex]m[/tex])

batting caves ([tex]b[/tex])

Sylvester:

[tex]5m+4b=60[/tex]

Lin

[tex]3m+6b=45[/tex]

System of equations:

[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]

[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]

[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]

[tex]18b=45[/tex]

[tex]b=2.5[/tex]

Now let's find [tex]m[/tex]

[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]

If two lemons cost 15 cents, how many can be bought for 60 cents?

Answers

You can buy 8 lemons by 60 cents

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Can someone please help me on these two questions?

Answers

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
€264.20
€151.40
€132.10
€66.05

Answers

Answer:

The second option, or option b

Step-by-step explanation:

200/1.321 = 151.4

Answer: € 151.40

Step-by-step explanation:

€1 = $1.321

200/1.321 = €151.40

Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer

Green Material:
Brown material:

Answers

Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.

Anyway the volume of the bin is length times width times height,

V = 4 × 18 × 9 = 648 cubic inches

So the volume of brown is 20 % of that

B = 20% of V = .2 × 648  = 129.6 cubic inches

The volume of green is 30%,

G = 30% of V = .3 × 648 = 194.4 cubic inches

Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches

Please help me with this

Answers

Uh ... it really don’t show much to answer

Answer:

a)  -2 -< x-<  2

b)  -1 < x and < 2

Step-by-step explanation:

We use -< as the numbers are included in the solution being -2 and 2

We use < as the numbers are less than -1 and 2

You know the difference i just couldn't copy and paste the inequalities for a).

They face the same way I have shown.

If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.

Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC

Answers

Answer: C

Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.

OR

Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.

Cherry: CL, CG, CO

Lemon: CL, GL, OL,

Grape: GC, GL, GO

Orange: CO, GO, LO

CL, CG, CO, GL, GO, LO

A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t

Answers

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4

Answers

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line

Subtract the polynomials. (3x2+10x+5y)−(−5x2+2x−6y)

Answers

Answer:

[tex]=8x^2+8x+11y[/tex]

Step-by-step explanation:

[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]

i really need an answer fast

Answers

x=-7

We can write them both like functions like this

A= 5x -4

B= 3x +8

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

A= 3b

we replace with the functions

5x-4 = 3(3x+8)

solve for x and you get -7

In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?

Answers

Answer:

2nd option is the correct answer.

Step-by-step explanation:

[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]

Answer:

B

Step-by-step explanation:

Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?

Answers

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

Workout the value of the largest angle

Answers

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

does anyone know this one?

Answers

Answer:

20x

Step-by-step explanation:

Step-by-step explanation:

The ? is 4 * 5x which is 20x.

Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC

Answers

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC

Please please please help me I’m about to fail

Answers

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

Please answer the question stated below

Answers

Answer:

$252

Step-by-step explanation:

We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.

Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.

$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.

280-28 is $252. This is the final price she will pay.

2 - (7/8 - 3/4) /'s are fractions

Answers

Answer:

[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]

Answer:

Brainliest here!

Step-by-step explanation:

2- (7/8 -6/8) = 2-1/8

simplify = 1 7/8   or 15/8

Amelia had 28 seashells. Then, she collected 11 more seashells. After that, she gave S seashells to her little sister. Which of the following shows how many seashells she has currently?

Answers

Answer:

39 - s

Step-by-step explanation:

she has 28 she finds 11 more (28+11) and she gives s amount away (28+11-s) simplify 39 - s


84 is 30% of what number?
2.8
25.2
280
2520

Answers

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)

Answers

Answer:

A

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

1.20 x 10⁶

6.0 x 10⁵​

Answers

Answer:

[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

Please look at the image below. I NEED TO ANSWER THIS NOW!!

Answers

Answer:

Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here

Step-by-step explanation:

Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6

Answers

Answer:

vertical line through the point (-6,0)

Step-by-step explanation:

Vertical lines have an undefined slope.

PLZ HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
1/3(6x+17)+ 1/3

Answers

Answer:

2x+6

Step-by-step explanation:

Given that AABC= ADEF, which of the following must be true?

Answers

Answer:

it's b because b and e are in the same place

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