Answer:
The answer is D 477 in.2
Step-by-step explanation:
The surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
What is a pyramid?"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."
What is rectangular prism?"It is a three-dimensional geometric structure which has six faces that are rectangles."
What is a composite figure?"A figure that consists of two or more geometric shapes."
Area of rectangle:A = length × width
Area of the triangle:A = 1/2 × base × height
For given example,
A rectangular prism and a square pyramid were joined to form a composite figure.
The composite figure would have nine faces with four triangular faces and five rectangular faces.
Surface area of the composite figure would be the sum of surface area of all nine faces.
The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.
Using the formula for an area of the rectangle,
⇒ A1 = 9 × 9
⇒ A1 = 81 square inches
The surface area of the larger vertical rectangular faces is same.
So, A2 = 2 × (area of the larger vertical rectangular faces)
The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.
⇒ A2 = 2 × (9 × 5)
⇒ A2 = 2 × 45
⇒ A2 = 90 square inches
Similarly, the surface area of the smaller vertical rectangular faces is same.
So, A3 = 2 × (area of the smaller vertical rectangular faces)
The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches
⇒ A3 = 2 × (9 × 5)
⇒ A3 = 2 × 45
⇒ A3 = 90 square inches
The four triangular faces are identical.
Let A4 be the total surface area of four triangular faces.
⇒ A4 = 4 × (area of triangular face)
⇒ A4 = 4 × (1/2 × base × height)
⇒ A4 = 4 × (1/2 × 9 × 4)
⇒ A4 = 4 × 18
⇒ A4 = 72 square inches
So, the surface area of the composite figure is,
⇒ A = A1 + A2 + A3 + A4
⇒ A = 81 + 90 + 90 + 72
⇒ A = 333 sq. in.
Therefore, the surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
Learn more about pyramid and rectangular prism here:
brainly.com/question/24046619
#SPJ2
How can the point (12, 16) be explained? The highest point of the mountain defined by the function is 12 feet. The highest point of the mountain defined by the function is 16 feet. The width of the base of the mountain defined by the function is 12 feet. The width of the base of the mountain defined by the function is 16 feet.
Answer:
B The highest point of the mountain is defined by the function is 16 feet.
Step-by-step explanation:
Saw it somewhere
The points (12, 16) can be explained as,
The highest point of the mountain defined by the function is 16 feet.
The width of the base of the mountain defined by the function is 12 feet.
Co ordinatesWhat are co ordinates?a group of variables that accurately depict a position. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (2,15) is located 2 units down and 15 units up.
What is Abscissa?The "x" coordinate of a point, as represented on the horizontal line, is another name for the abscissa.
What is Ordinates?The co ordinate that is displayed on the vertical line, commonly known as the "y" coordinate is called ordinates.
Description for the co ordinates (12, 16)As, 12 is written first on the co ordinates, that's why 12 is showing the abscissa on the horizontal line which is the width of the base of the mountain.
While, 16 here shows the ordinates on the vertical line which is the highest point of the mountain.
To know about the geographic coordinate system, here
https://brainly.com/question/10930749
#SPJ2
Please give me the answer
Answer:
50 degrees
Step-by-step explanation:
Since the two sides have the same length of 7 cm, it is an isosceles triangle so x = (180-80) / 2 = 50
8. Find the volume of the cylinder. Round to the
nearest tenth.
6 cm
3 cm
Answer:
339.3 cm^3
Step-by-step explanation:
V=πr2h=π·62·3≈339.29201
please help ASAP will give brainiest :)
find the third angle of a triangle it two of the angles measure 29 degrees and 87 degrees? A) 58 B)64 C) 93 D)116
Answer:
64 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
87 + 29 = 116
Final angle must be 180 - 116 = 64
Answer:
Hello,
B) 64
Step-by-step explanation:
29 + 87 + X = 180
X = 180 - 29 - 87 = 180 - 116 = 64
You maintain an average balance of $1050 on your credit card which carries a 12% annual interest rate. The monthly interest payment is
Answer:
157.5
Step-by-step explanation:
HELP ITS MATH U CAN DO IT!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
1/3 x 1/3 x 1/3 = 1/27
if was negitive would be 1/-27
if 1/9^3 would be 1/729
if negitive 1/-729
Please help! Will give brainliest, thanks and more points.
Look at the picture.
Answer:
rectangular prism
Step-by-step explanation:
their is four sides and a top and bottom
Answer:
it's a rectangular prism and their is four sides and a top and bottom
Step-by-step explanation:
boom
someone please help me!!!!
Answer:
Choice 3
Step-by-step explanation:
it’s the one that makes more sense!
Answer:
5m=3890
Step-by-step explanation:
5/3890 = 778
then check if its right
5*778 = 3890
(m=778)
What is the product of 2x + y and 5x – y + 3?
Answer:
10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]
Step-by-step explanation:
(2x + y)(5x – y + 3)
=10[tex]x^{2}[/tex] - 2xy + 6x + 5xy - [tex]y^{2}[/tex] +3y
=10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]
What is the value of x in the equation .5x+.08=1.68?
A.3.28
B.3.2
C. .88
D. .32
Answer:
Step-by-step explanation:
Answer:
x = 0.88/5
Step-by-step explanation:
5x+0.8=1.68
5x = 1.68 - 0.8
5x = 0.88
x = 0.88/5
What fractional part of 84 is 14?
Answer:
1/6
Step-by-step explanation:
14/84 = 7/42 = 1/6
What is the area of triangle ABC? Round to the nearest square unit.
Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.
Heron’s formula: Area
8 square units
15 square units
33 square units
618 square units
The area of the triangle ABC is 33 square units
We have given that,
Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.
We have to determine the area of the triangle
What is the area of the triangle?[tex]\text{ Area }=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
A = area
s = semi-perimeter
a = length of side a
b = length of side b
c = length of side c\text{ Area } = area
s = semi-perimeter
use the given value in the above formula we get the area of the triangle ABC is,
Therefore the correct answer is 33 square units.
To learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ5
Answer:
33 square units
Step-by-step explanation:
What is the value of the expression 30 divided by (negative 6)?
Answer:
30 divided by (negative 6) would be : 30/(-6) = -5
Hope this helps!
:)
The 7 dwarves only have 4 beds, so 3 dwarves sleep on the floor. How many different ways can 4 dwarves be chosen to sleep on the beds?
Answer:
whoever the smallest dwarves are
Step-by-step explanation:
the smaller you are, the more of a dwarf you are
Answer: I'm not positive but the answer may be 28
Step-by-step explanation: 7 dwarves x 4 beds = 28 possibilities
The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.
Which points did the manager label?
(0, 24) and (10, 0)
(0, 5) and (12, 0)
(0, 10) and (24, 0)
(0, 12) and (5, 0)
Answer:
(0, 24) and (10, 0)
Step-by-step explanation:
hope it's helpful
Simplify the given expression.
13 + (14a+5b)
HELP
Answer:
13 + 14a + 5b
Step-by-step explanation:
when there's a + in front of a expression
in parentheses the expression remains the same
Answer:
14a + 5b + 13
Step-by-step explanation:
Find x and y
Need done before 11:59
Answer:
Step-by-step explanation:
(3x + 6)° = 78°
3x = 72°
x = 24°
z = 180° - 78° = 102°
Answer:
x= 102
z= 24
Hope it will help you :)
400 people are asked if they drink tea
7/10 say yes and 20% of the people who say yes drink three cups a day
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
What's the total number of people that drink 3 cups?
Total number of people = 400
7 / 10 were asked said yes
Number of people that said yes = (7 / 10) × 400 = 280
280 people drink tea.
20% of 280 people drink 3 cups daily, whats the number = ?
20% of 280 = ?
20 / 100 = x / 280
(20 × 280) = (100 × x)
5600 = 100x
X = 5600 / 100
X = 56 people
56 people drink 3 cups of tea daily.
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
PLEASE ANSWER!!!!! I WILL MARK YOUR ANSWER AS BRAINLIEST!!!!!
Answer:
3/4=0.75
Step-by-step explanation:
This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation of 90 degrees clockwise about C. Describe fully the second transformation.
Answer:
enlarge by -2 by centre point (3,1)
Step-by-step explanation:
A branch point where currents divide or combine is known as a ______
A. Principal node
B. Common node
C. Ground node
D. Reference node
The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side length of 36 centimeters. What is the volume of the empty space in the box, rounded to the near whole number?
Answer:
45.413 cm³
Step-by-step explanation:
Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³
⇒The empty space is :
46656-1242=45414 ( cm³)
So the empty space is 45414 cm³
The volume of the empty space in the box, rounded to the nearest whole number, is 22,247 cubic centimeters.
What is a sphere?It is a three-dimensional figure.
The volume of one spherical glass ornament can be found using the formula V = (4/3)πr³, where r is the radius.
We have,
V = (4/3)π(6³)
= 904.78 cm³ (rounded to two decimal places)
The volume of 27 such ornaments is:
= 27 V
= 27 × 904.78
= 24,409.06 cm³ (rounded to two decimal places)
The volume of the cube-shaped box is given by V = s³,
where s is the side length.
Substituting the given side length, we get:
V = 36³
= 46,656 cm³
The empty space in the box is the difference between the volume of the box and the volume of the 27 ornaments:
Empty space = V(box) - 27V
= 46,656 - 24,409.06
= 22,246.94 cm³
Rounding this to the nearest whole number, we get:
Empty space ≈ 22,247 cm^3
Therefore,
The volume of the empty space in the box, rounded to the nearest whole number, is 22,247 cubic centimeters.
Learn more about Sphere here:
https://brainly.com/question/12390313
#SPJ3
Please give me the answer
Answer:
52
Step-by-step explanation:
sorry if it's wrong
I need help for a project! What would the variables be defined as!?
Marvin burned 8 calories per minute on a treadmill and 10 calories
per minute on an elliptical trainer for a total of 560 calories in 60
minutes. Write and solve a system of linear equations to determine
how many minutes he spent on each machine.
2 1/5x * 1 7/10 y * 4 3/5 x 1 7/10 (* 7 4/50)
Finds the answer
10 6/50x * 7 41/50y (* 7/4/50) = 56
79 13/100 (* 7 4/50) = 56
560 = 56 (10x)
x = 5 6/10
7 (y) = 56 (7y)
8 = 56/7 (y)
y = 8
x = 5 6/10
6/10 of 560 = 336
336/60 = x
336/60 = 5 6/10
what is the value of this expression 4 + 6 (4.3 + 8 )
-2.1
Answer:
The answer is 20.2
Step-by-step explanation:
always start with the number is parentheses
Answer:75.7
Step-by-step explanation:
Which expression has the same value as -18 divided by -9?
-18 divided by 2
-12 divided by (-3)
-10 divided by 5
-8 divided by (-4)
Answer:
-8 divided by (-4)Step-by-step explanation:
-18 divided by -9 is +2 and that is what you want.
-18 divided by 2 is -9, not correct.
-12 divided by (-3) is +4, not correct.
-10 divided by 5 is -2, not correct.
Leaving the correct answer: -8 divided by (-4) is +2.
Remember: a negative times a negative equals a positive.
Find the area and circumference of the circle shown
on the right. The radius is measured in inches.
Area =
Circumference =
Hi!
Got a question!
The question is: Find the volume of the shape above(if youre using the app) or below ( if you are using the website ).
Thanks !!
Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= [tex]\pi {r}^{2} [/tex]
Area of semicircle= [tex] \frac{1}{2} (\pi)( {r}^{2} )[/tex]
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
[tex] = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi[/tex]
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
[tex] = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi[/tex]
Base area of shape
[tex] = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi[/tex]
Since the height if the shape is not given, I'm afraid I cant help you find the volume.
Let the height of the shape be x cm.
Volume of shape= [tex] \frac{1029x}{8} \pi \: cm^{3} [/tex]
Monte's Autorana is having an end-of-year clearance in which the TV ads proclaim that
all cars are sold at 5% markup over the dealer's cost. Monte has a new Exfinity for sale
for $18,970. On the Internet, you find out that this particular model has a dealer cost of
$17,500. Is Monte being honest in his advertising?
Answer:
No
Step-by-step explanation:
We first write out $17,500 as a multiplication to 5%
New price = 17500 x 1.05 = 18375 = $18,375
18375-17500 = 875
We then work out the tax on just the mark up of $875 increase
20% mark up = 875 x 0.20 = 175
18.375+175 = 18550
= $18,550 charge to be considered for 5%
However Monte would argue that tax on tax also applies to 875 x 1.20 = 1050
=$1050 and he is just asking to meet half tax costs an extra 10% of his own tax back of 17.500 x 20% that he paid = 17500 x 0.20 = 3500
tax he paid inclusive or non inclusive would be the same.
= $3500
10% of this = 3500 x 0.10 = 350
18550+350 = 18,900
Therefore it is not dishonest if mentioned in the terms and conditions.
We also universally can round 5% up by applying other charges to include promotion costs and even apply more for administration costs.
HELP PLSS WILL GIVE BRAINLIEST
Solve N = 3rt^4 - 5rz
(solve for z)
Answer:
Step-by-step explanation:
N = 3rt^4 - 5rz
now factor r out
N = r(3t^4-5z)
divide by r on both sides
N/r = (3t^4 - 5z)
subtract (3t^4)
N/r - 3t^4 = -5z
now divide by -5 to isolate the variable (z)
[tex]\frac{(n/r)-3t^4}{-5}[/tex] = z
Answer:
(N-3rt^4) / -5r = z
Step-by-step explanation:
N = 3rt^4 - 5rz
Subtract 3rt^4 from each side
N-3rt^4 = 3rt^4-3rt^4 - 5rz
N-3rt^4 = - 5rz
Divide each side by -5r
(N-3rt^4) / -5r = - 5rz/ -5r
(N-3rt^4) / -5r = z