Answer:
Figure 3: 28.5 units²
Figure 4: 33 units²
Figure 5: 25 units²
Figure 6: 30 units²
Figure 7: 25 units²
Figure 8: 32 units²
Reasons:
Figure 3 consists of 2 shapes, A rectangle and a square
████████ ◣
rectangle: ████████ triangle: █◣
████████ ██◣
rectangle:
to calculate a rectangle's area: multiply the lengths of the width and height:
████████= width 8 █
█ =height 3
█
\(area=w(h)\)
now substitute the values of W and H:
\(8(3)=24\)
rectangle area = 24
Triangle:
to find the area of a triangle, multiply the width and height and divide by two:
◣ + ◣ = █ 0.5 + 0.5 = 1
█
███=width 3 █ =height 3
█
\(area=\frac{w(h)}{2}\)
now substitute W and H
\(area=\frac{3(3)}{2}\)
\(area\frac{9}{2}\)
Triangle area: 4.5
Now add the Rectangle Area To the triangle Area:
4.5 + 24 = 28.5
Final answer:
AREA =2 8.5
hope this helps!
A square playground is covered with pebbles, except for two equal sized triangular portions that have grass. How many square feet do the pebbles cover?
The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.
Let's call the length of the third side of the triangle "x".
Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.
a² + b² = c²
7² + 7² = c²
49 + 49 = c²
98 = c²
c = sqrt(98)
c = 7sqrt(2)
So each triangle has a base of 7ft and a height of 7sqrt(2)ft.
Area of each triangle = (base * height) / 2 = (7 * 7sqrt(2)) / 2 = 24.5 sq ft
Since there are two triangles, the total area of the grass is 24.5 sq ft * 2 = 49 sq ft
The square has an area of 14ft * 14ft = 196 sq ft
The pebbles cover an area of 196 sq ft - 49 sq ft = 147 sq ft.
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Complete question is in the image attached
im stuck on this question help
Answer:
the solution to the system of equations is (x, y) = (2, -2).
Step-by-step explanation:
The solution to the system of equations using the substitution method is as follows:
Starting with the equation y = x - 4, substitute this expression for y in the other equation:
-x + 6y = -14
-x + 6(x - 4) = -14
Expanding the expression in parentheses:
-x + 6x - 24 = -14
5x = 10
Dividing both sides by 5:
x = 2
Now that x is known, substitute x = 2 back into the first equation to solve for y:
y = x - 4
y = 2 - 4
y = -2
So the solution to the system of equations is (x, y) = (2, -2).
Answer:(2,-2)
Step-by-step explanation:
we can substitute (y) = x - 4 into -x + 6(y) = -14 's y
so -x + 6(x-4) = -14 distribute the 6
-x + 6x - 24 = -14 add 24 on both sides and subtract x with 6x
5x = 10 divide 5 to isolate x
x = 2 now we find the y value
y = x - 4 plug 2 in for x
y = 2 - 4 -> y = -2
(x,y) -> (2,-2)
a goniometer may be used to measure the range of motion of a joint
A goniometer is a tool used to measure the range of motion of a joint. It helps determine the degrees of flexion and extension of the joint. By using this device, healthcare professionals can assess the mobility and flexibility of a joint.
A goniometer is a simple tool that consists of two arms and a protractor. It is used to measure the range of motion of a joint, such as the shoulder or knee. The arms of the goniometer are aligned with the bones on either side of the joint, and the protractor is used to measure the angle between the arms. This angle indicates the degrees of flexion and extension of the joint.
For example, if a physical therapist wants to assess a patient's knee mobility, they would place the goniometer on the patient's knee joint and measure the angle as the patient moves their leg. This measurement helps determine the extent of movement and any limitations or abnormalities in the joint.
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does anyone know how to do this ?
this is your answer
I hope you get your answer
A meter is to be bolted to a switchboard. The meter studs that will fit into the holes on the switchboard are 0.4365 -inch in diameter. What are the hole sizes, expressed in decimal form, if they are to be 1.32-inch larger in diameter than the studs
The hole size required for the meter to be bolted to the switchboard is 1.7565 inches in diameter, expressed in decimal form.
To find the hole size for the meter to be bolted to the switchboard, you need to add the given diameter difference of 1.32 inches to the diameter of the meter studs. The meter studs are 0.4365 inches in diameter. So, the calculation is as follows:
Hole size = Meter stud diameter + Diameter difference
Hole size = 0.4365 inches + 1.32 inches
Hole size = 1.7565 inches
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Find the value of each variable in the parallelogram.
(b - 10)
(b + 10)
b=
C=
d =
Based on the properties of the angles of a parallelogram, the value of each variable are:
b = 90d = 100°c = 80°The Angles of a ParallelogramThe opposite sides of a parallelogram have the same equal measure, that is they are congruent.Adjacent angles or consecutive interior angles of a parallelogram are supplementary, that is their sum equals 180 degrees.Thus:
(b - 10) + (b + 10) = 180
b - 10 + b + 10 = 180
Add like terms
2b = 180
b = 90
d = b + 10 (opposite angles)
Plug in the value of b
d = 90 + 10
d = 100°
c = b - 10
Plug in the value of b
c = 90 - 10
c = 80°
Therefore, based on the properties of the angles of a parallelogram, the value of each variable are:
b = 90d = 100°c = 80°Learn more about parallelogram on:
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What is the length of AC?
Answer:
126 units!
Step-by-step explanation:
I hope this helped!! c:
How much money does Hector need to buy 3 CDs and 7 cell phones?
Answer:
i need more info, like how much r the CDs and the phones
Step-by-step explanation:
help me plz in which situation would it be better to use a ctedit card instedad of cash ?
a going out to dinner b purchasing movie tickets c purchasing gasoline d making hotel reservations
write the equation of the line that passes through a pair of points (0,-3) and (11,-1)
Answer:
y=(2/11)x-3
Step-by-step explanation:
y=mx+b
m=slope (rise over run)
b=y-intercept
PLEASE HELP!!!! ASAP!!!! NO LINKS PLEASE
Answer:
yes it is proportional y is 1.2 times x
not proportional
Camilla and Kennedy received 27 combined likes on their social media posts. Kennedy has 5 more likes than Camilla.
Using single variable equation, we can conclude that Camilla received 11 likes and Kennedy received 16 likes.
Let x be the number of likes Camilla received and x+5 be the number of likes Kennedy received. We can set up an equation to solve for x:
x + (x+5) = 27
Simplifying the equation:
2x + 5 = 27
Subtracting 5 from both sides:
2x = 22
Dividing both sides by 2:
x = 11
So Camilla received 11 likes and Kennedy received 11+5=16 likes.
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Use an integer or a fraction to describe the slope of a perpendicular To this line.
Answer:
slope of perpendicular line = - \(\frac{2}{3}\)
Step-by-step explanation:
calculate the slope m of the given line using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = \(\frac{3-0}{3-1}\) = \(\frac{3}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{3}{2} }\) = - \(\frac{2}{3}\)
Factorise (7x+19)/(x+1)(x+5)
Answer:
\( \frac{7x + 19}{ {x}^{2} + 6x + 5 } \)Step-by-step explanation:
\( \frac{7x + 19}{(x + 1)(x + 5)} \)
Multiply each term in the first parentheses by each term in second parentheses ( FOIL)
\( \frac{7x + 19}{x(x + 5) + 1(x + 5)} \)
Calculate the product
\( \frac{7x + 19}{ {x}^{2} + 5x + x + 5} \)
Collect like terms
\( \frac{7x + 9}{ {x}^{2} + 6x + 5 } \)
Hope this helps...
Best regards!!
HELP URGENT PLEASE HELPP
Answer:
x = √14Step-by-step explanation:
Let the common side of the triangles is s.
Use Pythagorean to get the value of s:
s² = 1² + 1² = 2and
s² = 4² - x² = 16 - x²Compare these equations and solve for x:
16 - x² = 2x² = 16 - 2x² = 14x = √141) Your t-shirt provider sells you blank t-shirts for $5.00. What percent markup did you
company use? Explain how you determined this percent mark-up.
Answer: 5%
Step-by-step explanation:
1. Select all the expressions that are equivalent to 4 - x.
a. x - 4
b. 4 + - x
C. -x +4
d. - 4 + x
e. 4 + x
Step-by-step explanation:
It is required to find the expressions that are equivalent to 4-x. We can also write it as :
Option (b) : (4-x) = 4+(-x)
Option (c) : (4-x) = -x+4
Hence, the correct options are (B) and (C).
for rayleigh winds with an average wind speed of 8 m/s: a. how many hours per year do the winds blow at less than 13 m/s? (5') b. how many hours per year are wind speeds above 25 m/s? (5')
A. 7658.8 hr/year
B. 4.082 hr/year
C. 99206 kwh
Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.
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Any help appreciated
Answer:
Step-by-step explanation:
An 8-ounce bottle of glue costs $1.92. What is the unit price
Answer:
$0.27 for 1 ounce
Step-by-step explanation:
Hope this helps!!!
URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
All of the following are measures of central tendency except the ________.
Select one:
A. None of the answers are correct
B. mode
C. range
D. mean
E. median
All of the following are measures of central tendency except the range.
The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.
On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.
The mode represents the most frequently occurring value(s) in the dataset.
The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.
The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.
Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.
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help me plzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
also can i have brainly
please answer will give brainliest
Answer: 29152332 ≡ 0 (mod 3)
Step-by-step explanation:
In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.
To solve this problem, we want to divide 29152332 by 3 and find the remainder.
29152332 ÷ 3 = 9717444
Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).
Prove that p→(p∧r) and ¬p∨r are logically equivalent.
We need to prove that p→(p∧r) and ¬p∨r are logically equivalent.
Proof:
We know that: p→q is logically equivalent to ¬p∨q
To prove that p→(p∧r) is logically equivalent to ¬p∨r, we need to convert the given statement p→(p∧r) into an equivalent statement in the form of p→q.
So, p→(p∧r) can be converted as: p→q ⇒ ¬p∨q
Step-by-step explanation:
In order to show that p→(p∧r) is equivalent to ¬p∨r, we will prove that p→(p∧r) is logically equivalent to ¬p∨r by checking whether they have the same truth values in all cases of p and r.
Table of truth:
p |r |p∧r |p→(p∧r) |¬p∨r
T |T |T |T |T
T |F |F |F |F
F |T |F |T |T
F |F |F |T |T
The two expressions have the same truth values in all cases. Therefore, we have proved that p→(p∧r) and ¬p∨r are logically equivalent.
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the table shows the number of candy bars the cheerleaders sold each week they have 9 candy bars left, how many candy bars did they have to sell to begin with?
Answer:
87
Step-by-step explanation:
According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?
A. 34% and 40%
B. 23% and 26%
C. 17% and 26%
D. 25% and 27%
E. 34% and 26%
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.
In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.
Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.
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a white number cube, a red number cube, and a green number cube, each with faces numbered 1 to 6, are tossed at the same time. what is the probability of all three cubes landing on odd numbers given that the white cube landed on three?
the probability of all three cubes landing on odd numbers given that the white cube landed on three is 1/24
Since the white cube landed on 3, we only need to consider the red and green cubes.
The probability of each cube landing on an odd number is 1/2, since there are 3 odd numbers out of 6 total on each cube.
The probability of both the red and green cubes landing on odd numbers is the product of their individual probabilities:
P(red and green both odd) = P(red odd) x P(green odd) = 1/2 x 1/2 = 1/4
Therefore, the probability of all three cubes landing on odd numbers given that the white cube landed on three is:
P(white=3 and red and green both odd) = P(red and green both odd | white=3) x P(white=3)
= (1/4) x (1/6) = 1/24
So the probability of all three cubes landing on odd numbers given that the white cube landed on three is 1/24
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URGENT!!!!! In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother 5
Does not have a brother 2
Has a sister 12
Does not have a sister 11
Answer:
i think its 0.43 but im not sure i hope this helps
Step-by-step explanation:
Answer:13/29
Step-by-step explanation:
\text{Fill out totals:}
Fill out totals:
Has a brother Does not have a brother Total
Has a sister 7 14 21
Does not have a sister 6 2 8
Total 13 16 29
\text{Number of students with a brother: 13}
Number of students with a brother: 13
\text{Number of students in the class: 29}
Number of students in the class: 29
\text{Probability: }\frac{13}{29}
Probability:
29
13
please help with the question asked
Answer:
C, None of the above
Step-by-step explanation:
Step 1: Expand the brackets
-7 - 3(-4e-3)
-7 + 12e + 9
Step 2: Collect like terms
12e + 2
Because the answer is not a or b the answer is 'None of the Above'
Hey there! I'm happy to help!
Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.
-7+3(-4e-3)
-7-12e-9
We combine like terms.
-16-12e
This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.
-4(3e+4)
We use distributive property.
-12e-16
We see that these have the same value, so the correct answer is A.
Have a wonderful day! :D