Answers
base= 10 ft
height= 12 ft
to find:the surface area of the given pyramid.
solution:[tex]s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } [/tex]
[tex]s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} } [/tex]
[tex]s.a = 360 \: {ft}^{2} [/tex]
therefore, the surface area of the given pyramid is 360 square feets.
answer= option D
Related Questions
The length of a rectangular field is 31 meters and the breadth is 14 meters, outside it a 2 meter wide path is made all around, what will be the cost of laying sand on this path at the rate of 7 per square meter
Answers
Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m
Step-by-step explanation:
[ refer to attachment ]
Area of field + path = L × B
=> 35 × 18
=> 630 m² -------------(1)
Area of field = L× B
=> 31 × 14
=> 434 m² --------------- (2)
Area of path = area 1 - area 2
=> 630 - 434
=> 196 m²
Given Rate = Rs. 7/ m²
If cost of 1m² = Rs. 7
Cost of 196m² = 7×196
=> Rs. 1372
Find the size of the angle marked a
Answers
Answer:
57°
Step-by-step explanation:
Given line is straight line
then whole angle is 180°
then 180 - 123 = a = 57
Answer:
57°.Step-by-step explanation:
What we know is:
One angle is 123°.We don't know:
angle a°.So, we add both angles up to 180°:
123 + a = 180.Lets solve 180 - 123:
180 - 123= 57a° = 57°.Angle a° is 57°.( 9 × 10^ − 7 )^ 2
standard form at the end please
Answers
Answer:
Step-by-step explanation:
Answer: 6889.
( 9 × 10^ − 7 )^ 2
standard form 6889.
I need help
Bob scuba dives in the ocean.
He is 150 feet below the surface of the water.
• He swims up toward the surface of the water at a rate of 15 feet for every 30 seconds.
After 2 minutes of ascending, he stops to take a break. How far away is Bob, in feet, from the surface of the water?
Answers
Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.
He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.
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solve this question please
Answers
The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A
How to solve equation?y = 5x
if x = 2
y = 5(2)
y = 10
if the value of x doubles, for instance, if x = 4
y = 5(4)
y = 20
y = 5/x
if x = 0.5
y = 5/0.5
y = 10
if the value of x triples, for instance, if x = 0.125
y = 5/x
= 5/0.125
y = 40
The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B
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A large rectangular prism has a length of 2 and 1/2 inches, a width of 4 inches, and a height of 1 and 1/2 inches. A smaller cube has a length, width, and height of 1/2 of an inch. How many of the smaller cubes will fit into the larger rectangular prism?
Answers
Answer:
120 cubes
Step-by-step explanation:
Volume of prism and cube:We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.
Rectangular prism:
[tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]
[tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]
[tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]
Cube:
[tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]
[tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]
[tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]
Number of cubes = Volume of prism ÷ volume of a cube
[tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]
120 cubes will fit
Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one obtuse angle. Two sides are equal in length.
Group of answer choices
Answers
Answer:
isosceles
Step-by-step explanation:
just ask
what is the area of the regular polygon shown below?
Answers
Because the apothem will always be half of the length of one side. The length of one side is 28 in.
The formula for the area is:
Area = (number of sides × length of one side × apothem)/2
Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared
Hope this helps!
Please give Brainliest!
How to find the surface area of a triangular prism
Answers
Answer:
See below.
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.
Example:
For a base which is 12 by 12. The area is 12 x 12 = 144.
For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
What is the measure of angle θ in the graph?
angle drawn in standard position on the unit circle, extending counterclockwise in the second quadrant
Group of answer choices
−135°
45°
135°
225°
Answers
The measure of the angle θ in the graph as described in the task content is; 135⁰.
What is the measure of angle θ in the graph?From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.
Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.
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Please help me I need help
Answers
Answer:number 1 and 4
Step-by-step explanation:
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces if water in the juice yesterday. Today she wants to make twice as much orange juice.
Is the relationship between the amount of orange juice concentrate c and the amount of water w proportional? Explain.
Answers
Answer:
12:28
Step-by-step explanation:
yesterday the ratio would be 6:14 so then you double that to get 12:28
ANS IN 10M
5.
(04.01)
The graph represents function 1, and the equation represents function 2:
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6.
Function 2
y = 2x + 7
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
1
2
3
4
Answers
The rate of change of function 1 is 2
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
Given function: y = 2x + 7.
As the graph of function 1 is not given.
the rate of change of function 2 : y = 2x + 7.
As the the value of m or rate of change of above equation is 2
m=2.
as, the horizontal line passes, the rate of change is 0
Hence, rate of change is 2.
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Answer:
learn
Step-by-step explanation:
need help.. again PLEASE HURRY 100 POINTS
Answers
Answer:
I think it might be 156 square milimeters. I could be totally wrong though.
Step-by-step explanation:
Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art.
science: MAD of 1.14
math: MAD of 1.6
Spanish: MAD of 1.2
art: MAD of 1.93
In which class were his scores the closest together?
science
art
Spanish
math
HELPPPP!!!!
Answers
Answer:
The answer would be Science.
I don't know how to explain it just yet :(
Determine whether the following situation would produce a random sample. Write Yes or No and explain your answer. Two hundred students at a school basketball game are surveyed to find the students' favorite sport. a. Yes, students preferring different sports may be in the group. b. Yes, this may be the only sporting event occurring that day. c. No, students attending this event are more likely to enjoy basketball. d. No, student attendance may have been required at this event.
Answers
Answer:
c.
Step-by-step explanation:
Students who have chosen to attend a basketball game are more likely to like basketball.
HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11
Solve the inequality, and please show your work. Thanks in advance!
Answers
Answer:
-4 < x ≤ -3
Step-by-step explanation:
Separate it into 2 inequalities
2x+6 ≤x+3
x ≤-3
x+3<3x+11
-8 < 2x
x > - 4
Combine the 2 results
-4 < x ≤ -3
If cos0=1/4, what is the value seco?
Answers
Answer:
[tex]\sec\theta=4[/tex]
Step-by-step explanation:
Recall the reciprocal identity [tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}[/tex], thus, [tex]\displaystyle \sec\theta=\frac{1}{\frac{1}{4}}=4[/tex]
What is the solution of following system of equations y=2x-3 4x-3y=31
Answers
Answer:
(-11, -25)
Step-by-step explanation:
Use substitution.
3√6/√15
Solve it using radicals please!!!
Answers
Answer:
3√10/5
Step-by-step explanation:
[tex]\frac{3\sqrt{6} }{\sqrt{15} }[/tex]
Rationalize √15
[tex]\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\[/tex]
Mark buys a treadmill priced at $360.26.Shipping and handling are an additional 10%of the price.How much shipping and handling will Mark pay?
Answers
Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)
Answers
If a constant is added to a variable then the graph gets shifted toward left and vice-versa. Then the graphs are shown below.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The parabola is given below.
f(x) = x²
Then the parabolas with respect to the position of their vertices from left to right will be
1: y = f(x) = x²
2: y = f(x - 4) = (x - 4)²
3: y = f(x + 3) = (x + 3)²
4: y = f(x - 7) = (x - 7)²
5: y = f(x + 2) = (x + 2)²
6: y = f(x - 1/2) = (x - 1/2)²
The graph of the parabola is given below.
More about the parabola link is given below.
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Write 10 3 8 as an improper fraction.
Answers
We convert it to an improper fraction which, in this case, is 83/8 and then we divide the new numerator (83) by the denominator to get our answer.
Answer (if the number is 10 3/8):
83/8
Step-by-step explanation:
to find out we multiply the whole number (10) by the denominator (x/8) as shown below
10 * 8 = 80
then we just add the product to the numerator (3/y)
3 + 80 = 83
usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form
Multiply
[(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)]
Answers
Answer:
3(x -1) / (x + 1)(x + 2).
Step-by-step explanation:
(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)
Factoring the denominator and 3x - 9:
= (x - 1) / (x + 1)(x - 3) * 3(x - 3) / (x + 2)
The (x - 3)'s cancel out, so we have:
(x - 1)/(x + 1) * 3 / (x + 2)
= 3(x -1) / (x + 1)(x + 2).
If the sales per day of a start-up company can be modeled using the function s(d) = d 3 + 10, what is the maximum number of sales per day on the interval 0 < d ≤ 3?
Answers
The maximum number of sales will be equal to 37.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Given function is:-
s(d) = d³ + 10maximum number of sales per day on the interval 0 < d ≤ 3The maximum value of d = 3
s(d) = d³ + 10
s(d) = (3)³ + 10
s(d) = 27 + 10
s(d) = 37
Therefore the maximum number of sales will be equal to 37.
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Jamie has 9 gallons of paint that she needs to pour into containers that
hold 0.75 gallon. How many containers will she need?
Answers
Answer:
12:)
Step-by-step explanation:
f(x) =3x, g(x) = x+4 and h(x)=x²-1
What is the value of
h[f(10)]
Answers
Answer:
899
Step-by-step explanation:
h[f(10)]=h(30)
=(30)^2-1=900-1=899
A 1-quart milk carton has a square base of 7 cm × 7 cm and a height of 19.3 cm. What is its volume in cubic centimeters?
Answers
Answer:
V = 945.7 cm^3
Step-by-step explanation:
I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.
Substitute known values into this formula:
V = 7 × 7 × 19.3
V = 945.7 cm^3
Which expression is equivalent to the expression shown?
3'*3*
3
3 x
Х
Х
1
3-4
34
-28
4
3
3’x (+39
х
Answers
Answer:
the given expression is equivalent to the
Step-by-step explanation:
[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]
calculator shortcut for 16613 eight
Answers
There are some calculator shortcuts that can be used on a Windows OS and they are:
Ctrl + R (recall from memory)Ctrl + L (erase memory)What is a Calculator?This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.
Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.
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