The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.
L = 3 + W ...1
2(L + W) = 58
L + W = 29 ...2
From equations 1 and 2, then we have
3 + W + W = 29
2W = 26
W = 13 cm
Then the length of the rectangle will be given as,
L = 3 + 13
L = 16 cm
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
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Kasey is training to run a 5-kilometer race. He started by running 1 kilometer the first day, then adds 500 meters each week. During what week will Kasey run 5 kilometers?
Answer:
yes
Step-by-step explanation:
The sine of the complimentary angle to 75 degrees
Answer: 0.65
Step-by-step explanation:
Two angles are said to be complementary angles when the sun of their angles will be equal to 90°. In this case, since the angle given is 75°, then the other angle will be:
= 90° - 75°
= 15°
Therefore, we'll then find the sine of 15° which will be:
= Sine 15°
= 0.65
Therefore, the correct option is A.
What is vertically opposite angles in maths class 7?
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles.
A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees. For example, if two lines intersect and make an angle, say X=35°, then its opposite angle is also equal to 35°. And the adjacent angle to angle X will be equal to 180 – 35 = 145°
In the given figure, ∠QOR and ∠SOP form a pair of vertically opposite angles and similarly ∠SOQ and ∠POR form such a pair. Therefore,
∠QOR = ∠SOP
∠SOQ = ∠POR
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22,500,000 is what percent of 90,000,000
Answer:
25%
Step-by-step explanation:
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Identify the surface whose equation is given.
p = sin θ sin φ
Therefore , the solution of the given problem of trigonometry comes out to be surface x² + y² + z² = p².
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.
Here,
Given:
p = sinθ sin∅
To Locate:
the equation's surface
Solution:
adding p to both sides of the equation
p sinθ sin∅ = p²
p sinθ sin∅ = p²
p sinθ sin∅ =y
x²+y²+z²=y
x² + y² - y+ z² = 0
x²+ (y - 1/2)²+ z² = 1/4
r² =1/4, r= √1/4,
The surface of the sphere having a radius of 1/2 and a center at (0, 1/2, 0) is designated as 1/4.
Sphere-centered coordinates
x = sin p sin
y = sin(p), sin(p),
z = p cos∅
x² + y² + z² = p²
Therefore , the solution of the given problem comes out to be surface
x² + y² + z² = p².
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An experiment was conducted to evaluate the success of an Ebola virus vaccine. The subjects were unaware of the treatment they were given. What is this type of blinding used to prevent? Grounds for malpractice suits Subjects assigned randomly to treatments A possible source of bias Injury to the subjects The placebo effect
This type of blinding is used to prevent a potential source of bias in the experiment. By keeping the subjects unaware of the treatment they are receiving, the researchers can eliminate the possibility of any psychological effects influencing the outcome of the study. This is particularly important in cases where a treatment is being evaluated for subjective outcomes such as pain, anxiety, or depression, as the subjects' expectations and beliefs can influence their perception of the treatment's effectiveness. By keeping the subjects blinded to their treatment, researchers can ensure that the results of the study are as unbiased as possible.
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what’s the equation for this graph pls help me :)
Answer:
y=-1/8x
Step-by-step explanation:
Arc length for xy I’ve been stuck on this for a while
Answer:
12.22
Step-by-step explanation:
There are 360° in a full circle
The circumference of a circle is c = 2πr
----------------------------------
The lenght of the arc will be the portion of the circumferece included in the angle
l = (∅/360) * 2πr
plug in the knowns
l = (70/360) * 2π(10)
l ≈ 12.22
Can you help me with this
Answer: slope=2
Step-by-step explanation:
using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.
HELPPPPP NO LINKS PLEASEEEE
Answer:
180
Hope this helps
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
(8x - 46) + (10x - 8) = 180
18x - 54 = 180
+54 +54
18x = 234
/18 /18
x = 13
Check work:
8(13) - 46 = 10(13) - 8
8(13) - 46 = 58
10(13) - 8 = 122
58 + 122 = 180
Thomas wants to buy a new baseball bat. The one he likes costs $130, but it is on sale for $104. What is the percent of the discount Tomas will get if he buys the bat
On solving the provided question we can say that the percentage discount will be equal to 20%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Tomas wants to buy a new baseball bat. T
he one he likes costs $130, but it is on sale for $104.
The discount percentage will be calculated as:-
( $130 - $104) = $26
( 26 / 130) x 100 = ( 2600 / 130 ) = 20%
the discount will be equal to 20%.
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Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.
13 ft side
18 ft bottom
Answer:
perimeter = 2*length + 2*width
2x13 + 2x18 = 62ft
hope that answers your question
Step-by-step explanation:
Can you help me out with number 7
Answer:
111
Step-by-step explanation:
Please mark brainliest
Please help, picture attached.
P.S just ignore the answer i put i was kinda guessing it's confusing for me.
Answer:
If angle dgf as an angle of 108
that means that the equation would look like this x + 4x-2=108
= 5x-2=108
then you solve for x
5x=110
110/5 = 22 = x
hope that answers your question
Step-by-step explanation:
Camille thinks that -(-4) has a positive value and Laura thinks -(-4) has a negative value. Who is correct?
On Time
Late
You want to find the quickest route to school. You map out three routes.
Before school, you randomly select a route and record whether you are
late or on time. The table shows your findings.
a. Find Plyou are on time given you take Route A)
Route A
Route
B1
Route
CH II
b. Assuming you leave at the same time each morning, which route should you use? Explain.
Route B: You arrived on time 11 out of 14 times or about 79% of the time.
The pairs of polygons below are similar. Give the scale factor of figure A to figure B.
3/5
2/5
25/18
5/2
5/3
18/25
In the given pairs of polygons the scale factor of figure A to figure B is 2:4.
How is scale factor calculated?The scale factor is calculated using the following fundamental formula: Scale factor = Dimension of the new shape Dimension of the old shape. The formula for calculating the scale factor is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is magnified.
The ratio of a smaller figure's side to its corresponding side in the bigger figure is the scale factor between the two figures.
As a result, the smaller figure's side length of 4 units and its side length of 10 units are equivalent.
Therefore:
Scale factor = 4:10
i.e. 2:5
Simplify
Scale of the smaller figure to the larger is equal to 2:4.
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A basket of the fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw the 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket. What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
A. 5/144
B. 5/108
C. 1/28
D. 1/22
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
What is the probability:The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.
The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.
It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.
The formula for the probability of an event is given by
P(E) = No of favorable outcomes/ Total No of outcomes ]
Here we have
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.
Total number of fruits = 4 + 3 + 5 = 12
By the given formula,
Probability of selecting 1 banana = 4/12 = 1/3
Probability of selecting 1 apple = 3/12 = 1/4
Probability of selecting 1 orange = 5/12
The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange
Let's assume that,
We taken 1 banana
=> The probability of selecting one banana = 1/3
After taking one banana, remaining fruits = 12 - 1 = 11
Now we have drawn 1 apple
=> The probability of selecting one apple in 11 fruits = 3/11
After taking one apple remaining fruits = 11 - 1 = 10
=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2
From the above calculations,
The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22
Therefore,
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
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shreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh please help
Answer:
16
Step-by-step explanation:
Answer:
16 balls
Step-by-step explanation:
20-4=16
Graph a line given the point A(-2, 3) and the slope of
2|3
Answer:
Step-by-step explanation:
What do you mean by equivalents?
The term equivalent means equal or interchangeable in value, quantity, significance, etc.
In math term equivalent is used for the following concepts.
expressionfractionetc.Here we have to know that the term equivalent refers to two numbers, expressions, or quantities with the same value.
Here there are many ways to express an equivalent quantity and it can be denoted either by a bar or an equivalent symbol.
Here we want to know that the equivalent can also mean some common or logical equivalence between different values or quantities.
Therefore, based on these definition we have identified that the equivalence is similar but not the same as equality.
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A middle school principal asks Mike and Gregory for help in determining the approximate number of students in the school who are interisted in attending a summer camp. - The principal gives Mike and Gregory an alphebetical list of the names of all the students in the school. - There are about the same number of students in each of the 6th, 7th, and 8th grades. Mike and Gregory each use the list to choose a sample of students to survey in order to make a conclusion. - Mike chooses the name of every student in 7th grade on the list. -Gregory chooses the name of every 3rd student on the list. Based on this information, determine which student can make a valid conclusion and why the conclusion can be valid. PLEASE HELP ME WITH THIS QUESTION.
Based on this information, Gregory can make a valid conclusion.
What are Sampling Methods?Sampling methods are methods used to create a sample in for a survey. There are probability sampling methods as well as non probability sampling methods.
Given sampling method done by two students, Mike and Gregory, to choose a sample of students to survey the students interested in summer camp.
Names of students are listed in an alphabetical order.
Mike chooses the name of every student in 7th grade on the list and Gregory chooses the name of every 3rd student on the list.
The sampling of Mike will lead to sampling bias. Here the conclusion which can be made about the total population is weaker because only the students of particular class is attending. Conclusions may be more limited.
Whereas in the case of sampling of Gregory, he uses one of the probability sampling method called systematic sampling method. The sampling using probability sampling method is more convenient as it has less sampling bias as well as research bias.
Hence Gregory can make a valid conclusion in this case.
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need help with this
Answer:
What is questions?
Step-by-step explanation:
What is questions?
A ladder of 6m rests with it's foot on a horizontal ground and leans against a vertical wall. The imclination of the ladder to the horizontal is 80 degree.Find correct to 1d.P. (a) The distance of the foot of the ladder from the wall (b) The height above the ground at which the upper end of the ladder touches the wall.
Answer:
a) 1.0m
b) 5.9m
Step-by-step explanation:
(a) The distance of the foot of the ladder from the wall
cos∅ = adj/hyp
cos80 = adj/6
multiply both sides by 6
6 * cos 80 = adj
1.041889066001582 = adj
to 1 dp
1.0m
-------------------------------
(b) The height above the ground at which the upper end of the ladder touches the wall
sin∅ = opp/hyp
sin80 = opp/6
6 * sin80 = opp
5.908846518073248 = opp
To 1 dp
5.9m
Write the GCF of polynomials. Through explanation if you want
Answer:
32y³
Step-by-step explanation:
Mamas bakery just opened and is currently selling only two types of pastry. Each month mamas bakery will add two more types of pastry to their menu. Suppose this pattern continues. What algebraic expression can be used to find the number of pastries offered after any given number of months? How many pastries will be offered in one year?
The number of pastries will be offered in one year could be 26 and the algebraic expression could be x = 2 + 2y
What is Arithmetic progression ?
Arithmetic progression could be defined as the sequence of number where the difference between two consecutive number is same.
Given,
Mamas bakery just opened and is currently selling only two types of pastry.
Each month mamas bakery will add two more types of pastry to their menu.
let the number of pastries be x.
let y be the given number of pastries.
Hence the algebraic expression could be
x = 2 + 2y
Number of pastries will be offered in one year could be
x = 2 + 2 * 12
x = 26
Hence, the number of pastries will be offered in one year could be 26 .
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A car's value is $9,800.A sales person receives 5% commission if he
sells the car. How much would he obtain in commission from the sale of
that car.
The commission the salesperson would receive is $490.
What is a commission?
A commission is a payment made to an individual, such as a salesperson or agent, for services rendered or a good sold. The commission is typically a percentage of the sale or revenue generated. This percentage is known as the commission rate.
To find the commission a salesperson would receive from selling a car, we need to multiply the commission rate (5%) by the car's value ($9,800).
The commission rate is given as a percentage, so we need to convert it to a decimal to do the calculation. We can do this by dividing the percentage by 100.
So 5% = 5/100 = 0.05
Then to find the commission the salesperson would receive we multiply:
Commission = 0.05 * $9,800
Commission = $490
Hence, the commission the salesperson would receive is $490.
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someone help me with this please!! if it’s correct ill mark you as brainliest
Answer:
P(has 32 GB) = .382
Step-by-step explanation:
There are 75 + 95 + 42 + 63 = 275 total tablets
There are 42 + 63 = 105 tablets of 32 GB
P(has 32 GB) = 105/275 = .382
Compare the function ƒ(x) = 4x + 2 to the function shown in the graph. Which statements are correct?
Responses
A The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
B The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.
C The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
D The function ƒ(x) = 4x + 2 and the graphed function have the same slope.The function ƒ(x) = 4x + 2 and the graphed function have the same slope.
E The graphed function has a y-intercept with a greater value than the function ƒ(x) = 4x + 2.
The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:
A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.The function f(x) is given as follows:
f(x) = 4x + 2.
The parameters are given as follows:
Rate of change of 4.Intercept of 2.For the function g(x), we have that:
The rate of change is of 2, as when x increases by 2, y increases by 4, hence m = 4/2 = 2.The intercept is of 4, as the function crosses the y-axis at y = 4.Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.
Missing InformationThe graphed function is given by the image presented at the end of the answer.
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Be so kind and help me please!
Answer:
2A/h - b2= b1
Step-by-step explanation: