Answer:
The answer would be 28 93/108 or 28 31/36
Step-by-step explanation:
Answer:
26 31/36
Step-by-step explanation:
Find the length of side of square ABCD when diagonal is √ cm long. Also find the perimeter and area of the square
The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.
Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.
In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.
Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:
x^2 + x^2 = (16√2)^2
2x^2 = 512
Dividing both sides by 2, we have:
x^2 = 256
Taking the square root of both sides:
x = √256
x = 16 cm
So, the length of each side of the square is 16 cm.
To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:
Perimeter = 4 * 16 cm = 64 cm
To find the area of the square, we square the length of one side:
Area = (16 cm)^2 = 256 cm^2
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Note the complete question is:
Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 4 yd. Find the area of the shaded region.
Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the shaded region is calculated as: 6.88 yd²
How to Find the Area of a Shaded Region?The area of the shaded region in the diagram = area of rectangle - area of semicircle.
Given the following:
Width of rectangle = 4 ydRadius of the semicircle (r) = 4 ydLength of the rectangle = 2(4) = 8 ydArea of the semicircle = 1/2(πr²) = 1/2 × 3.14 × 4² = 25.12 yd²
Area of the rectangle = length × width = 8 × 4 = 32 yd²
The area of the shaded region = 32 - 25.12 = 6.88 yd²
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en la siguiente operacion determina el valer de "a+b+c"
It should be noted that the addition of the variables give in the expression will be 11✓2.
How to calculate the value?It should be noted that the information is incomplete. Therefore, an overview will be given. In this case, let a = ✓2, b = ✓8 and c = ✓128.
This can be illustrated as:
= a + b + c
= ✓2 + ✓8 + ✓128
= ✓2 + 2✓2 + 8✓2
= 11✓2
Therefore, it should be noted that the should be noted that the addition of the variables give in the expression will be 11✓2
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John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation:
I WILL GIVE BRAINLEST FAST PLEASE ANSWER THE QUESTION IN THE IMAGE
Answer:
Cannot be determined
Step-by-step explanation:
We only know one angle and we could only compare one set of sides.
We do not have enough information to determine if the triangles are similar
Help quick I’m timed How many edges does the figure have?
6
8
12
24
Answer:
A rectangular prism has 12 edges.
Answer:
12 i just used quizlet
Step-by-step explanation:
(RATIO QUESTION) Apple crumble is made using the following ingredients.
Serves 8 people
700 g apple
250 g sugar
180g flour
40g butter
c) Sienna has 500g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people? Yes/No
Explain how you got your answer.
a) He needs 500 g of sugar to make apple crumble for 16 people.
b) She needs 45 g of flour to make apple crumble for 2 people.
c) 500g of apples is enough to make apple crumble for 6 people.
How to obtain the amounts?The amounts for this problem are obtained according to the proportions given in the problem.
For 8 people, the amount of sugar needed is of 250 g. For 16 people, the number of people doubles, hence the amount of sugar needed will also double, as follows:
2 x 250 = 500 g.
For 2 people, the amount of each item is divided by 4, hence the amount of flour needed is given as follows:
180/4 = 45 g.
The amount of apple needed per people is of:
700/8 = 87.5 grams.
For 6 people, the amount is given as follows:
6 x 87.5 = 525 grams.
Hence 500g of apples is enough to make apple crumble for 6 people.
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can someone please help me
please show work
The arc length and area of each circle sector is:
Case 1: s = 121π / 12 yd, A = 1331π / 24 yd²
Case 2: s = 35π / 3 in, A = 245π / 3 in²
Case 3: s = 17π / 6 ft, A = 17π / 4 ft²
Case 4: s = 11π / 2 in, A = 33π / 2 in²
Case 5: s = 116π / 9 yd, A = 928π / 9 yd²
Case 6: s = 13π / 12 ft, A = 13π / 8 ft²
How to determine the arc length and the area of a circle sector
In this problem we need to determine the arc length (s), in yards or inches, and the area (A), in square yards or square inches, of a circle sector, whose formulas are listed below:
Arc length
s = (θ / 180) · π · r
Area
A = 0.5 · (θ / 180) · π · r²
Where:
θ - Measure of the central angle, in degrees. r - Radius, in yards or inches.Now we proceed to determine the arc length and the area for each case:
Case 1 (r = 11 yd, θ = 165°)
s = (165 / 180) · π · 11
s = 121π / 12 yd
A = 0.5 · (165 / 180) · π · 11²
A = 1331π / 24 yd²
Case 2 (r = 14 in, θ = 150°)
s = (150 / 180) · π · 14
s = 35π / 3 in
A = 0.5 · (150 / 180) · π · 14²
A = 245π / 3 in²
Case 3 (r = 3 ft, θ = 170°)
s = (170 / 180) · π · 3
s = 17π / 6 ft
A = 0.5 · (170 / 180) · π · 3²
A = 17π / 4 ft²
Case 4 (r = 6 in, θ = 165°)
s = (165 / 180) · π · 6
s = 11π / 2 in
A = 0.5 · (165 / 180) · π · 6²
A = 33π / 2 in²
Case 5 (r = 16 yd, θ = 145°)
s = (145 / 180) · π · 16
s = 116π / 9 yd
A = 0.5 · (145 / 180) · π · 16²
A = 928π / 9 yd²
Case 6 (r = 3 ft, θ = 65°)
s = (65 / 180) · π · 3
s = 13π / 12 ft
A = 0.5 · (65 / 180) · π · 3²
A = 13π / 8 ft²
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Can you answer this? Take ur time I'm not in a hurry.
Thanks!
i believe the correct graph is the bottom left
The sale price of a laptop is R3 700,00, which is only 65% of the original price. Calculate the original price.
The original price of a laptop that is 65% of the sales price is R3 1076923.07692
How to find the original price when given the percentage?The sale price of a laptop is R3 700,00,which is only 65% of the original price.
Therefore,
let
x = original price
Hence,
700, 000 = 65% of x
700,000 = 65 / 100 of x
cross multiply
70000000 = 65x
divide both sides by 65
x = 70000000 / 65
x = 1076923.07692
Therefore, the original price of the laptop is R3 1076923.07692
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Given h(x)=-5x-4 find h(3)
The value of the equation h(x) = -5x-4 is - 19 when h = (3).
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, the equation we have is:
h(x) = -5x-4
Now, solve the equation when h = (3)
h(x) = -5x-4
h(3) = -5(3) -4
h(3) = -15 - 4
h(3) = - 19
Therefore, the value of the equation h(x) = -5x-4 is - 19 when h = (3).
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y=-0.011x+40.604y = − 0.011 x + 40.604
1) What is the slope of the line in the scatter plot?
2) What is the meaning of the slope in that situation?
Answer:
0.11×11%×40.60%×4=0.11×+40%.604
12)
If a roll of painter's tape contains 14 feet of tape, what is the maximum
number of 1.75-foot pieces that can be cut from the roll?
A)
6
B)
7
8
D)
10
Answer:
8
Step-by-step explanation:
on usatestprep 2021
Which inequality is equivalent to -y> 18
Answer:
you forgot to add the options.
Step-by-step explanation:
Answer:
y≤−18
Step-by-step explanation:
if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square
a+1 = 3
To find:(a - 1)^2
\( {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2\)
So, the answer is 2Hope it help youEnergy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages
The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.
What is a confounding variable?A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.
Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.
In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.
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What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
¿Qué interés produce s/ 72,000 al 5% anual en 1 año, 1 mes, 10 días?
Answer: 3,988.8
Usaremos la fómula: I = C * i * n
I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)
I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)
I = 72 000 * 0.05 * 1.108
3,988.8
Step-by-step explanation:
Podemos obtener el interés que produce un capital con la siguiente fórmula:
I = C * i * n
Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:
I = 1.000.000 * 0,08 * 5 = 400.000
Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:
Periodo: 60 días = 60/360 = 0,16
I = 1.000.000 * 0,08 * 60/360 = 13.333
Espero te ayude :3
Name three collinear points.
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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Find the Central Angle
mXY = = 18 in
radius ZY = 7.64 in
The central angle is approximately 2.357 radians.
To find the central angle, we can use the formula:
Central angle (θ) = arc length ÷ radius
Given:
Arc length (mXY) = 18 in
Radius (ZY) = 7.64 in
Plugging in the values:
Central angle (θ) = 18 in ÷ 7.64 in
Calculating the division:
θ ≈ 2.357 radians
Therefore, the central angle is approximately 2.357 radians.
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What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)
y intercept of the function f (x) = -2/9x + 1/3
is
\( \frac{1}{3} \)
OPTION C
What is the least common multiple (LCM) of 6 and 10?
OA. 2.
OB. 20
O C. 30
OD. 60
Answer:
30
Step-by-step explanation:
hhhhjj+hbggggggggggggggggggggffffffgfgggggggggggg
C. 30
a multiple is a number that can be divided by another number a certain number of times
6 divides 30 5 times and 10 divides it 3 times
Help for finals for brainlist
Answer:
I would love to help what would be the first question
What is the ratio of consonants to syllables?
PTERODACTYL
Answer:
Step-by-step explanation:
Pterodactyl has 8 consonants and 4 syllables. So the ratio is 8 to 4, or 2 to 1, if reduced.
Please mark as brainliest if this helped you, and let me know if you have any questions. :)
help me for a brianly
Answer:
35
Step-by-step explanation:
you multiply like it is a rectangle then you cut your answer in half in this case 7x10=70 cut in half is 35
The age distribution of students at a community college is given below.
Age (years) Number of students (f)
Under 21 409
21-25 409
26-30 204
31-35 60
Over 35 22
A student from the community college is selected ar random. Find the probability that the student is between 26 and 35 inclusive.
Answer:
0.2391 = 23.91% probability that the student is between 26 and 35 inclusive.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
409 + 409 + 204 + 60 + 22 = 1104 students, in total
204 + 60 = 264 between 26 and 35.
264/1104 = 0.2391
0.2391 = 23.91% probability that the student is between 26 and 35 inclusive.
1. There are two main roads that pass through the development, Moonbeam Drive and Sunshine
Avenue. Are these two roads parallel to each other?
Answer:
help you express yourself effectively and stand up for your point of view. It can also help you do this while
Use the information in the diagram to solve for x.
Answer:
x = 29
Step-by-step explanation:
105 + 110 + 2x + 3x = 360
Simplify
215 + 5x = 360
Move all terms not containing x to the right side of the equation.
5x = 145
x = 29
good luck, i hope this helps :)
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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