Find the surface area of the pyramids
first one:
The surface area of a pyramid can be found using the formula:
Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area
Since the side lengths of the base are equal, the perimeter of the base is:
Perimeter of Base = 4 x Side Length
Perimeter of Base = 4 x 9 = 36 feet
To find the slant height, we can use the Pythagorean theorem:
Slant Height^2 = Height^2 + (1/2 x Side Length)^2
Slant Height^2 = 12^2 + (1/2 x 9)^2
Slant Height^2 = 144 + 20.25
Slant Height^2 = 164.25
Slant Height = 12.81 feet
The base area can be found using the formula for the area of a square:
Base Area = Side Length^2
Base Area = 9^2 = 81 square feet
Plugging in the values into the formula for surface area:
Surface Area = (1/2) x 36 x 12.81 + 81
Surface Area = 218.16 square feet
So the surface area of the pyramid is 218.16 square feet.
second one:
The surface area of a pyramid can be found using the formula:
Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area
Since the side lengths of the base are equal, the perimeter of the base is:
Perimeter of Base = 4 x Side Length
Perimeter of Base = 4 x 8 = 32 meters
To find the slant height, we can use the Pythagorean theorem:
Slant Height^2 = Height^2 + (1/2 x (Side Length1 + Side Length2))^2
Slant Height^2 = 3.5^2 + (1/2 x (8 + 4))^2
Slant Height^2 = 12.25 + 36
Slant Height^2 = 48.25
Slant Height = 6.94 meters
The base area can be found using the formula for the area of a square:
Base Area = Side Length^2
Base Area = 8^2 = 64 square meters
Plugging in the values into the formula for surface area:
Surface Area = (1/2) x 32 x 6.94 + 64
Surface Area = 107.52 square meters
So the surface area of the pyramid is 107.52 square meters.
What is the value of x? image below
Answer:
Angle x = 72
Step-by-step explanation:
Angle AHI = Angle HIK = 63
(This is because the two angles are corresponding angles, HI//JK)
Angle x = 180 - 63 - 45
= 72
4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.
x^{2}=-3 y
Answer:
vertex - (0,0)
focus - (0, 3/4)
directrix - 3/4
parabola- x^2=-3y
graph of equation:
please help!
A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.
a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.
b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.
c) Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure.
d) Which is a better measure of spread: range or interquartile range? Why?
e) What does the value of the mean absolute deviation tell you about the spread of the data?
Answer:
B
Step-by-step explanation:
Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.
calories: 25, 50, ?, ?
servings: 1/3, ? 1, 4/3
Calories increase by 25 each.
25, 50, ?, ? = 25, 50, 75, 100
Servings increase by 1/3 each. (1 = 3/3)
1/3, 2/3, 1, 4/3
Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she go bowling in the summer?**Just write the number
Answer: She went [tex]11[/tex] times during the summer.
Step-by-step explanation:
If Louisa's savings change by [tex]-6[/tex] each time she goes bowling and it went to [tex]-66[/tex], that means that Louisa went another [tex]11[/tex] times.
[tex]\frac{1}{11}[/tex]
So therefore your answer would be 11.
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!1
Answer:
1/3
Step-by-step explanation:
From the given diagram of the spinner, we can infer that blue occupies 1/3 of the space and green occupies the remaining space.
Hence, the probability of spinning blue :
1/3Answer:
1/3
Step-by-step explanation:
The blue one occupied one-third of the spinner, means when it got divided into three parts, the blue get one of them.
Pls help me givving brainliest also NOOOO LINKSSSSSSSS
PLSSS HELP ME GIVE BRANLIEST!!!
What is the mean of the data set shown below?
{5, 5, 5, 10, 10, 15, 15, 20, 25, 30, 35, 40, 40, 45, 50, 50}
A. 5
B. 22.5
C. 25
D. 45
Answer:
the mean of this data set is 25, so letter c is correct
The mean of the data is 25
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?
The first thing we must do for this case is to calculate the area of both yards.
We have then:
front yard:
A1 = (50) * (80)
A1 = 4000 feet ^ 2
Back yard:
A2 = (10) * (30)
A2 = 300 feet ^ 2
"Jayden wants to lay sod on his front yard and on half of his back yard"
Then, the total amount will be:
A = A1 + (1/2) A2
Substituting:
A = 4000 + (1/2) (300)
A = 4000 + 150
A = 4150 feet ^ 2
Answer:
jayden needs to purchase 4150 square feet of sodd
Answer:
Its an area equation. Area is length times width.
So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.
Now for the easy part. Take the 4000 and add 200. Answer? 4,200.
The length, in centimeters, of a diagonal of a rectangle is represented by the expression below.
Which of the following is closest to the length of the diagonal?
(A) 5 centimeters
(B) 7 centimeters
(C) 18 centimeters
(D) 25 centimeters
Answer:
(C) 18 centimeters
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
The percentage of those people who preferred red is 20%.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).
This means,
Total percentage.
= (13 + 4 + 5 + 15 + 16 + 12)
= 65%
Now,
The percentage of those people preferred red.
= 13%/65% x 100 %
= 13/65 x 100
= 20%
Thus,
The percentage of those people who preferred red is 20%.
Learn more about percentages here:
https://brainly.com/question/11403063
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ill give brainly but hurry.
Answer:
114
Step-by-step explanation:
Answer:
144 square inches
Step-by-step explanation:
Both of the triangles' areas (32 inches squared each) added to the area of the center rectangle (80 inches squared) is equal to:
32+32+80 = 144
Why is there a 1/2 in this formula for the area of a trapezoid?
A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2
(PLS HELP MY TEACHER WANTS ME TO PASS THIS!) Which line on the graph is the image of the line y = 2x after a transition of 3 units along the x-axis and 4 units along the y-axis?
Line A
Line B
Line C
Line D
Line y=2x ==> No matter what value Y gets, X is always half of it
But X was transitioned by 3 units and Y by 4, so let's pull them back down
==> y-4 = 2x-3
Upon verifying each of the lines with y = 6:
A. 6-4 = -4-3 ==> 2 = -7. A falls
B. 6-4 = 4-3 ==> 2 = 1. B falls, but this one's the closest to truth
C. 6-4 = 8-3 ==> 2 = 5. C and D will obviously fail because X is so far ahead.
Out of testing, B is the only correct answer, despite the answers being close instead of true
1. The diameter of a circle is 36 centimeters. Find the radius. (Section 13.1)
do yall know the answer to (3x+4)(x-2)
ok 50 points and brainly come on.
Answer: 30 Units
Step-by-step explanation: If you count the units surrounding the rectangle this is how many there are
The Garza family uses about 12,000 kWh/year. If they install a wind turbine whose rotor has a diameter of 20 ft, the formula relating annual energy output to annual average wind speed, V, in mph, becomes 12,000=0.01328⋅202⋅V3, which simplifies to 12,000=5.312V3.
Solve 12,000=5.312V3 for V. With a rotor whose diameter is 20 ft, what is the annual average wind speed that the Garzas need to power their home?
Enter your answer into the box. Round to the nearest tenth.
V =
mph
Answer: V = 13.1 mph
Step-by-step explanation:
12,000 = 5.312V^3
Divide 5.312 from both sides, and on the right side it will cancel out.
12,000/5.312 = V^3
2,259 = V^3
Extract the cube roots of both sides, leaving V^3 to just V.
13.1 = V (I think)
Reflecting shape A in y = -x line.
Answer:
given this points
Step-by-step explanation:
-5,2
-8,2
-5, 3
all reflected across the x axis making the y values stay the same for no vertical shifts
ASAP VERY URGENT
(I will give brainliest for most accurate answer) move the options to the blank to complete the series of transformations that will show triangle abc - def
help me please thank u
Answer:
[tex]225 {m}^{3} [/tex]
Step-by-step explanation:
To find the volume of the shape first we have to split the shape into two rectangles; a large one at the bottom and a small one at the top. The formula to find volume of a rectangle is
[tex]v = length \times width \times height[/tex]
note that after both volumes are found they should be added to determine the volume of the entire shape*
The length of the large rectangle is 5m, the width is 7m, and the height is 6m. Therefore the volume is
[tex]v = l \times w \times h \\ v = 5 \times 7 \times 6 \\ v = 210 {m}^{3} [/tex]
The length of the small rectangle is 5m, the width is 3m, and the height is 1m. Therefore the volume is
[tex]v = l \times w \times h \\ v = 5 \times 3 \times 1 \\ v = 15 {m}^{3} [/tex]
[tex]210 {m}^{3} + 15 {m}^{3} = 225 {m}^{3} \\ therefore \: the \: volume \: of \: the \: \\ entire \: shape \: is: \\ 225 {m}^{3} [/tex]
Answer:
[tex]V_{\ total}=225\ m^3[/tex]
Step-by-step explanation:
Step 1: Find the volume of the big box
[tex]V_{\ big} = l * w * h[/tex]
[tex]V_{\ big} = 7\ m * 5\ m * 6\ m[/tex]
[tex]V_{\ big} = 210\ m^3[/tex]
Step 2: Find the volume of the small box
[tex]V_{\ small} = l * w * h[/tex]
[tex]V_{\ small} = 3\ m * 5\ m * (7\ m - 6\ m)[/tex]
[tex]V_{\ small} = 3\ m * 5\ m * 1\ m[/tex]
[tex]V_{\ small} = 15\ m^3[/tex]
Step 3: Combine the volumes
[tex]V_{\ total}=V_{\ big} + V_{\ small}[/tex]
[tex]V_{\ total}=210\ m^3 + 15\ m^3[/tex]
[tex]V_{\ total}=225\ m^3[/tex]
Answer: [tex]V_{\ total}=225\ m^3[/tex]
Jane arranged 99 chairs in 6 rows as evenly as possible.
(a) How many rows had exactly 16 chairs?
(b) How many rows had 17 chairs?
[A] (a) 3 rows [B] (a) 5 rows [C] (a) 6 rows [D] (a) 3 rows
(b) 2 rows (b) 3 rows (b) 2 rows (b) 3 rows
(C)a)6
i didnt know how to do b
Step-by-step explanation:
it is bcz 99÷16 is 6
Answer:
(a) 3 rows had 16 chairs.
(b) 3 rows had 17 chairs.
Explanation:
There must be 6 rows, which is constant.
Make equation's:
1st equation: 16p + 17w = 99
2nd equation: w + p = 6, w = 6 - p
Solve by substitution:
⇒ 16p + 17(6 - p) = 99
⇒ 16p + 102 - 17p = 99
⇒ -p = -3
⇒ p = 3
Then find w, w = 6 - p = 6 - 3 = 3
Hence, there is 3 rows of 16 chairs and 3 rows of 17 chairs.
Try to match match and confirm the answer:
17 × 3 + 16 × 3 = 99 chairs in 6 rows1. How can you find the area of a circle?
Answer: by using the formula (pi)r^2
Step-by-step explanation:
the r stands for radius
Will name you the brainleyest!
Answer:
581,100
Step-by-step explanation:
39. If two dice are tossed, find the probability that the sum is greater than 5.
Answer:
11.11%
Step-by-step explanation:
i dont know man i just looked it up but here you go
Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
(OPTIONS FOR CHOOSE (IN ORDER))
(Q1) Reasonably Close To/Very Different From
(Q2) True/False
(Q3) 0.50/0.60/0.70
Answer:
1. The relative frequency of heads is (A) reasonably close to 40%.
2. Mr. Clark's claim about the theoretical probability is likely to be (A) True.
3. This means that the theoretical probability of tails is most likely 0.6 for this coin.
( I also had this question before)
Answer: I think the answers are
(Q1) is A (Q2) is A and (Q3) is B
Step-by-step explanation: A for the first question because the Law of probability says: If you run a shorter trial then you get biased results but run a more extended trial you get unbiased results and his results would have to be true also the relative frequency is 0.6
PLEASE MARK AS BRAINLYEST IF YOU CAN
How do I do this? Can somebody answer and explain?
How to make Mixed fractions into Improper Fractions?
Easy!
What you do is, you multiply the denominator with the whole number, then add the result of multiplying the denominator with the whole number to the numerator, and then, when you have that result, you put that result as your new numerator, and the denominator remains same from the Mixed fraction.
Look at picture
Answers to your questions:
1) [tex]3\frac{1}4}[/tex]
[tex]= 4*3=12\\=12+1=13\\\\=\frac{13}{4}[/tex]
2) [tex]7\frac{2}{3}[/tex]
[tex]=3*7=21\\=21+2=23\\\\=\frac{23}{3}[/tex]
3) [tex]4\frac{1}{2}[/tex]
[tex]=2*4=8\\=8+1=9\\\\=\frac{9}{2}[/tex]
4) [tex]2\frac{7}{8}[/tex]
[tex]=8*2=16\\=16+7=23\\\\=\frac{23}{8}[/tex]
Here are your answers!
Have a great day!
:D
16. In a sequence of five integers, the third integer is the sum of the previous two, the fourth integer is the sum of the previous three, and the fifth integer is the sum of the previous four. If the sum of the five integers is 248 , what is the third integer in the sequence?
Answer: a > b > cand a + b + c = 3/2
Step-by-step explanation:
can you guys help me please the options or 6 or 10 or 12 please
Answer:6
Step-by-step explanation: if you take the width of the box (30cm) and the book's width (15cm) you can quickly tell there can be two stacks because 15 +15 is 30. now take the height of the book (6cm) how many times can it go into the height of the box (20cm) 3. so 2 stacks of three is 6.