Answer:
672 square inches
Step-by-step explanation:
i took the test and got this question right
The area of Mason's birdhouse is 664 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
For the area of Mason's birdhouse,
We need to calculate the surface area of all the sides and add them up.
Now,
The birdhouse has six sides.
= a top, bottom, front, back, left, and right side.
The top and bottom of the birdhouse are both rectangles with dimensions 10 inches by 8 inches.
So,
The area of each rectangle.
= 10 in × 8 in
= 80 square inches
So,
The total area of the top and bottom of the birdhouse.
= 2 × 80 square inches
= 160 square inches
Now,
The front and back of the birdhouse are both rectangles with dimensions 10 inches by 14 inches.
The area of each rectangle.
= 10 in × 14 in
= 140 square inches
The total area of the front and back of the birdhouse.
= 2 × 140 square inches
= 280 square inches
Now,
The left and right sides of the birdhouse are both rectangles with dimensions 8 inches by 14 inches.
The area of each rectangle.
= 8 in × 14 in
= 112 square inches
The total area of the left and right sides of the birdhouse.
= 2 × 112 square inches
= 224 square inches
Now,
The total surface area of Mason's birdhouse.
= 160 + 280 + 224
= 664 square inches.
Thus,
The area of Mason's birdhouse is 664 square inches.
Learn more about rectangles here:
https://brainly.com/question/15019502
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what are the solution to x^2+6x=27
Step-by-step explanation:
So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.
Now, we can use the quadratic formula to solve.
I attached it below.
Your a value will be 1, the b value is +6, and the c value is -27.
Plug into the formula and then solve. :)
The diameter of a circle is 13 m. Find its area to the nearest tenth.
Answer:
A ≈ 132.73
Step-by-step explanation:
If you have any questions feel free to ask in the comments
help now pls thank u
Answer:
120 inches of strands
Step-by-step explanation:
finding the diagonal
=[tex]\sqrt{(100+576)}[/tex]
= 26 inches
perimeter of the window = 2(10+24)
= 68 inches
total strands needed to be purchased = [(2×26)+68] inches
= 120 inches of strands
If f (2) = 2x2 + 3x – 9 and g(x) = 3x2 + 8 find (f + g)(x)
Answer:
3x² + 13
Step-by-step explanation:
f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5
g(x) = 3x² + 8
added together: 3x² + 8 + 5 = 3x² + 13
Which of the following inequalitties is correct
-a > -b
-a > a
a > c
(Look at picture)
Answer:
You were right the correct option is
- a > - b
Each figure shows a triangle with one of its angle bisectors.
Answer:
m<2 is 17 degrees
Step-by-step explanation:
We can see that the angle at the vertex E was bisected to give two different but equal angles
Thus, we have it that;
2x + 7 = 4x-3
4x-2x = 7+ 3
2x = 10
x = 10/2
x = 5
so m<2 = 4(5) -3 = 20-3 = 17 degrees
Kathy gets to school at 8.20 a.M every day.It takes her 12 minutes to get from her house.Kathy wants to get to school 15 minutes earlier what time should kathy leave her house?
Answer:
7:53
Step-by-step explanation:
subtract 15 minutes from the time she arrives.
you get 8: 05 a.m. the distance from home to school is 12 minutes to reach at 8:0 5 subtract 12 minutes to know what time she'll leave...
if you remove 12 minutes from 8 or 5 a.m. get 7:53 a.m.
Anybody help me please!!!!!!!!
Answer:
A reflection over the x axis
Step-by-step explanation:
With the x axis you flip it down or up
With the y you flip it to the left or to the right
Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem
Answer:
lll
Step-by-step explanation:
2x – y = 7
y = 2x + 3
Answer:
2x – y = 7 answer for this one is x-1/2y+7/2 (the '/' is a fraction)
y = 2x + 3 is x=1/2y+-3/2
Step-by-step explanation:
1/9 equals what squared?
Answer:
1/3 I think??????
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.
In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as
p(x) = a x ³ + b x ² + c x + d
We're told the leading coefficient is a = 1, so
p(x) = x ³ + b x ² + c x + d
Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.
Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:
p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)
Now just expand this to get
p(x) = x ³ - 3 x ² - 23 x - 35
HELP me please with 9,10,11,12
Answer:
9.) The Outlier is 18
-The outlier is the number that stands out and is different
The image of (2, - 1) after a translation of (x, y) + (x -1, y+3) is
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.
Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
[tex]Height = 7in[/tex]
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
[tex]a = 1in[/tex] -- side length of the octagon
The area is then calculated as:
[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]
So, we have:
[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]
[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]
[tex]Area = 2 * (1 + \sqrt 2)[/tex]
Evaluate the square root
[tex]Area = 2 * (1 + 1.414)[/tex]
[tex]Area = 2 * (2.414)[/tex]
[tex]Area = 4.828[/tex]
The volume is then calculated as:
[tex]Volume = Height * Base\ Area[/tex]
[tex]Volume = 7 * 4.828[/tex]
[tex]Volume = 33.796[/tex]
Answer:
287 is the right answer
Step-by-step explanation:
Hopes this helps.
Solve for the value of x! Please help don’t use this just for points
Answer:
x=3
Step-by-step explanation:
If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.
Find the volume of a cylinder if the radius is 3 and the height is 9
Answer:
81pi
Step-by-step explanation:
pi3^2=9pi
9pi * 9 = 81pi
Answer:
254.34 un³
Step-by-step explanation:
π × 3² × 9
π × 9 × 9
3.14 × 9 × 9
254.34
4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?
Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction
Answer:
n
Step-by-step expmlanation:
Answer:
10-15 miles I believe
if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Answer:
Step-by-step explanation:
hello :
if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1
but : x1 × x2 = c /a
in this exercice : a =8 and b = -13 and c = - 4k
so : c/a =-4k/8
so : -4k/8 = 1
-4k = 8 k = 8/-4 k = -2
this polynomial is : 8x²-13x +8
Please help! - Geometry - 15 points - One question -
Answer: m<DCB= 50 degrees
Step-by-step explanation:
120= (15x+5)+(22x+4)
120= 37x+9
111= 37x
x=3
15(3)+5
45+5=
50
If p and q vary directly and p is 30 when q is 6, determine q when p is equal to 9.
Answer:
here is the link the.hh/g49
Step-by-step explanation:
Answer:
q = 45
Step-by-step explanation:
Since q is 30 when p is 6, we divide to find the rate.
30/6=5.
If the rate is 5 we multiply the new p, 9 by five as well.
9*5=45
45 is q ok
Solve for x. Round to the nearest tenth!
Answer:
x=1.7
Step-by-step explanation:
sin20=x/5
x=5sin20
x=1.7
5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?
Answer:
30 feet
Step-by-step explanation:
The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.
convert 10 hours into minutes
Answer:
600 minutes
Step-by-step explanation:
60 minutes in an hour
60 × 10 is 600
need the answers to these questions please
Answer:
a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]
[tex]p = 88\,cm[/tex]
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]
[tex]p = 24\,cm[/tex]
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]
[tex]p \approx 25.424\,m[/tex]
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]
[tex]p \approx 39.368\,cm[/tex]
a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?
please help this is urgent
Answer:
Im pretty sure its 18.
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:
[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?
Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar
Solve n÷6>2. Graph the solution.
Step-by-step explanation:
n/6 > 2
x6. x6
n > 12
hope this helps
Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches
Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem, we get
[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]
[tex]Hypotenuse^2=81+144[/tex]
[tex]Hypotenuse^2=225[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{225}[/tex]
[tex]Hypotenuse=15[/tex]
Now, the lateral surface area of a triangular prism.
[tex]A=Ph[/tex]
Where, P is the perimeter of the base and h is the height of the prism.
[tex]A=(9+12+15)\times 6[/tex]
[tex]A=(36)\times 6[/tex]
[tex]A=216[/tex]
Therefore, the lateral surface area of a triangular prism is 216 square inches.