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 of the diagrams below represents the statement if it is a square then it is a rectangle

Answers

Answer:

Plz show us the figures

Step-by-step explanation:

Answer:

The answer is Figure B.

Step-by-step explanation:

In the section describing the survey methods, the report states, “For results based on the total sample of national adults, the margin of sampling error is ±4 percentage points at the 95% confidence level.” Interpret the meaning of this statement in terms of the poll. Use any statistic given in the report as an example to explain your interpretation.

Answers

Answer:

The interpretation of that same problem is listed throughout the section below on explanation.

Step-by-step explanation:

Interpretation:

Researchers seem to be confident with 95% that the sample selection standard error seems to be + as well as - 4 percent respectively. This same margin of sampling error would then decrease from either the mean or average value by four percentage points smaller or even larger, it describes the survey method.

So that the above is the right answer.

someone pls help mee

Answers

Answer:

-1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

5-(-1)/-3-9

Simplify.

5+1/-12

6/-12

Divide both the numerator and denominator by -6.

-1/2

pls help this is due in 31 minutes pls help.​

Answers

Answer:

option 3

Step-by-step explanation:

each little square represents a side of a cube, so it is 81 in^2

So, lets take a square root, since all distance is positive, it is 9, since a cub'es side lengths are all the same, the dimensions are 9*9*9inches, or option 3

What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?

Answers

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

The volume of hemisphere  is 1,41,130.7 cubic inch.

What is hemisphere?

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

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I need help with congruence and similarity problem. ( picture below)

Answers

Answer:

x = 9, y = 4 and z = 6.67

Step-by-step explanation:

Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.

Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]

z = [tex]\frac{10\times 8}{12}[/tex]

z = [tex]\frac{20}{3}[/tex] = 6.67

And [tex]\frac{6}{y}=\frac{12}{8}[/tex]

y = [tex]\frac{8\times 6}{12}[/tex]

y = 4

Therefore, x = 9, y = 4 and z = 6.67 will be the values.

The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.​

Answers

To find the length of FE subtract t E feom F

FE = 5-2 = 3 units long

4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. What does his total sales have to be this month to reach his goal?

Answers

Answer:

X=$5,000

Step-by-step explanation:

You can write an equation in slope-intercept to find an answer.

y=0.2x+1000, 20% commission is the slope and the base pay is the y-intercept.

Now, just plug in 2,000 for y.

2,000=0.2x+1,000, subtract 1,000.

1000=0.2x, Multiply by 5 to get x by itself.

x = 5,000

Hope this helped youuuuu

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.

7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.

Answers

Answer:

Step-by-step explanation:

[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]

[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]

please be neat and will mark brain.;)

Answers

Answer:

the one with 47:is 43

the one with 52 is 38

the one with 63 is 27

and the one with 45 is 45

Step-by-step explanation:

these angles equal to 90

so you must subtract them from 90

Answer:

5: x=43

6: x=38

7: x=27

8: x=45

Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?

Associative Property of Multiplication

Commutative Property of Multiplication

Distributive Property

Associative Property of Addition

Answers

Distributive property

The final statement is: The property of distribution is used in the given expression.

What is a distributive property in math?

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)

Clearly 2 and z get distributed over (x+y)

We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms

Thus this is the distributive property of multiplication.

Hence, Distributive property is the correct option.

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Which rhetorical technique is the speaker using? A.appeal B.overstatement C.parellelism D.shift

Answers

Answer:

From what chapter of a book?

Step-by-step explanation:

Answer:

he is making an appeal to someone to do something about something that he knows would be good for everyone

Step-by-step explanation:

Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.

Answers

Answer:

Angle XVW is 56 degrees.

Angle XWZ is 28.5 degrees.

Angle XZW is 28.5 degrees.

Step-by-step explanation:

bcuz yes :)

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much. ​

Answers

A girl has 20 marbles

10 are red, 7 are blue, and 3 are green

If she picks 5 marbles, without replacing them, what are the chances all 5 are red?

10/20 * 9/19 * 8/18 *7/17 * 6/16

1/2 * 9/19 * 4/9 * 7/17 * 3/8

1/2 * 1/19 * 3/2

1/76

Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Answers

Answer:

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Step-by-step explanation:

I graphed the equation on the graph below so you can where I got my answer.

Answer:

the answer is D

Step-by-step explanation:

hope this helps!

There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.

Answers

Answer:

Numbers are 6 and 17.

Step-by-step explanation:

Let the two numbers are 'a' and 'b'.

"Sum of these numbers = 23"

a + b = 23 --------(1)

"One number is 7 less than 4 times the other"

a = 4b - 7 ---------(2)

Substitute the value of 'a' in equation (1) from equation (2)

(4b - 7) + b = 23

5b - 7 = 23

5b = 23 + 7

5b = 30

b = 6

From equation (2),

a = 4b - 7

a = 4×6 - 7

a = 24 - 7

a = 17

Therefore, the numbers are 6 and 17.

Answer: 7 and 16

Step-by-step explanation:

Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that

x+(3x−5)=23

Solving for x, we find that x=7. So the two numbers are 7,16.

chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below

Answers

Answer:

Step-by-step explana

tion:

Ratatouille

what is the volume of a prism with a height of 4 feet and a base area of 9 square feet?

Answers

Answer:

36 units³

Step-by-step explanation:

To find the volume of a prism, you must multiply the base times the height. 4×9=36.

Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.

Answers

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

True or False? The following is an example of a proportion:

The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.


True

False

Answers

True please mark brainlist

Answer:

Step-by-step explanation:

Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00

Answers

Answer:

B 6.00

Step-by-step explanation:

M= 6$

C= 9$

M+C= 6+9= 15$ per hour

IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7

Answers

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

In the given parallelogram QRST, x = 7°.

What are adjacent angles?

In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.

How do we solve the given question?

In the question, we are shown a parallelogram QRST and are asked to find the value of x.

We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.

∠TQR = 80°, ∠QRS = (14x + 2)°

Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°

∴ ∠TQR + ∠QRS = 180°

or, 80° + (14x + 2)° = 180°

or, 14x = 180° - 80° -2° = 98°

or, x = 98°/14 = 7°

∴ In the given parallelogram QRST, x = 7°.

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SOMEBODY HELP ME OUT !!

Answers

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

what does it mean that the fan data are numerical and univariate?

Answers

Answer:

The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.

I'm doing the test and this is what I put for my answer

If f(x) = 2x2 + 3 and g(x) = x2 - 7, find (f-9)(x).
O A. 3x2 - 10
O B. 3x2 - 4
O c. x2 + 10
O D. x² - 4
Plzzz helpp

Answers

Answer:

x^2 + 10

Step-by-step explanation:

f(x) = 2x^2 + 3

g(x) = x^2 - 7,

(f-g)(x) = 2x^2 +3 - ( x^2 -7)

           Distribute the minus sign

           = 2x^2 +3 -x^2 +7

Combine like terms

           = x^2 +10

If W = 3x + 1 and P = -2x + 7, what is 2W + 2P

Answers

Answer:

2x+16

Step-by-step explanation:

2W+2P

Lets substitute the W and the P for their respective values.

2(3x+1) + 2(-2x+2)

Simplify

6x + 2 + -4x + 4

Simplify again

2x + 6

And there you have it!

Answer:

2x + 16

Step-by-step explanation:

2W + 2P

= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis

= 6x + 2 - 4x + 14 ← collect like terms

= 2x + 16

is the dilation en enlargement or a reduction? what is the scale factor of the dilation?

Answers

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

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What is the value of x?

Answers

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

Answer:

x=30

Step-by-step explanation:

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