Answer:
[tex]x \approx 86.5[/tex]
Step-by-step explanation:
To solve the given problem, use the following trigonometric ratios,
[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta) = \frac{adjacnet}{hypotenuse}\\\\tam(\theta) = \frac{opposite}{adjacent}[/tex]
Each of the sides are named relative to the given angle, therefore, when looking at different angles, the sides will have different names. In this case, one is given the length of the hypotenuse, and one is asked to find the length of the given side. Therefore, it would make the most sense to use the ratio of sine ([tex]sin[/tex]). Substitute in the given values and solve,
[tex]sin(84)=\frac{x}{87}[/tex]
Manipulate the equation so that it is solved for (x),
[tex]x=(87(sin(84))[/tex]
Solve,
[tex]x \approx 86.5[/tex]
Which two numbers are equivalent in value?
O
A 364 and 18
O
B. 345 and 19
C. 327 and 81
O D. 3216 and 36
What is the first step in a 2 step equation?
Answer:Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000
Step-by-step explanation:
The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is 20 cm. Find the perimeter of the figure. (Take Pi = 3.14)
Answer:
110 is the aswer
Step-by-step explanation:
Find the volume of a right circular cylinder with a diameter of 14 inches and a height of 10 inches, answer in terms of pi?
Answer:
490π
Step-by-step explanation:
Given data
Diameter= 14 inches
Radius= 7 inches
Height = 10 inches
The expression for the volume of a cylinder is
V= πr^h
V= π*7^2*10
V= 490π
Hence the volume is 490π
Yolanda spends 8 2/3 hours per month playing soccer. approximately how many hours does she play soccer in a year?
Answer:
[tex]8 \frac{2}{3} \times 12 = 104[/tex]
Therefore, she spends 104 hours a year playing soccer.
Answer:
104 hours
Step-by-step explanation:
1 year = 12 months
Since 1 year equals 12 months, we multiply the time she spends in 1 month by 12 to calculate the time she spends in 1 year.
8 2/3 hours × 12
= (8 + 2/3) hours × 12
= (8 × 12 + 2/3 × 12) hours
= (96 + 8) hours
= 104 hours
How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters
I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.
Sampling
Sampling means selecting the group that you will actually collect data from in your research.
zoning
Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.
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You can use a calculator
Answer:
8<√74<9
Step-by-step explanation:
√74 = 8.6
Answer:
8<74<9Step-by-step explanation:
74 < 8,6 this answer
Is it appropriate to identify values on this graph that are between or beyond the plotted points? Explain.
Note that It is not a good idea to guess what a value on a graph might be if it is beyond the points that are already plotted. The reason for this is that the guess might not be accurate. Generally, it is better to stay within the defined data limits.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
Because they display information quickly and readily, graphs and charts are powerful visual aids. It's no surprise that graphs are widely utilized in print and electronic media. Data can often be easier understood when displayed as a graph rather than a table since the graph might illustrate a pattern or comparison.
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Plsss help ASAP!!!! I need to finish this now!!
Answer:
your answer code would end up being 9862
composite numbers are: 40,42,44,45,46,48,49,50
4's are gone: 0,2,5,6,8,9,50
repeat are gone: 2,6,8,9
greatest to least: 9,8,6,2
n \triangle NOP,△NOP, \overline{PN}\cong \overline{OP}
PN
≅
OP
and \text{m}\angle P = 50^{\circ}.m∠P=50
∘
. Find \text{m}\angle O.m∠O.
The value of the measure of ∠O in the given triangle will be 65°
What is triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔNOP;
PN ≅ OP
So, ∠O = ∠N
And, Measure of ∠P = 50°
Now,
In the ΔNOP;
The sum of all the three angles are 180°.
The value of the measure of ∠O = x
We get;
∠O + ∠N + ∠P = 180°
Substitute ∠P = 50° and ∠O = ∠N = x we get;
x + x + 50 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
x = 65
Thus, The value of the measure of ∠O will be 65°.
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What is the radius of circle M?
Answer:
The radius is just under 4 cm.
Step-by-step explanation:
The central angle for the entire circle is 360 degrees.
The fraction (89/360)(total circle area) = 12.36m^2.
Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.
Area of a circle (in general) is A = πr²
Here we know A and π and must find r² and then r:
A
A = πr² becomes r² = ----------
π
Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2
and r = square root of r² = 3.99, or approximately 4 cm
Please help I have a learning disabilty and need help with this.
Find the value of x that makes a true statement.
17 + x = 3 + 17
x = _______
Answer:
17 + x + 3 + 17
X is 3
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find the price of each combination of items.
Step-by-step explanation:
Since each package of 10cans costs $14
25cans would be 2 packages + 5 (since a package has 10)
So
14$ x 2 + 2$ x 5
=38$.
BRANIEST !!!!!!!! PLEASE HELP!!!!
Answer:
B. y= x^2 + 1
Step-by-step explanation:
I graphed it
Answer:
.........B..........
Step-by-step explanation:
i think it is because (X+1)^2 means X^2+1
branley bought 81 pencils and 54 erasers he plans to give each classmate the same number of pencils and the same number of erasers what is the greatest number of classmates bradley can have
Answer:
j
Step-by-step explanation:
The goal for the size of the Santa on a Christmas Santa cup is 3. 5 cm with an acceptable tolerance of ± 0. 9 cm. The grand mean of the size of the Santa from the samples that were taken is 3. 4 cm and the standard deviation is 0. 28 cm. What is CP? (rounded to three decimals)
The processing capability for the size of the Santa rounded to three decimal places is 1.07.
CP (Process Capability) is a statistical measure that compares the performance of a process to the specifications of that process. It can be calculated using the formula:
CP = (USL - LSL) / (6 * standard deviation)
Where:
USL = Upper Specification Limit (3.5 + 0.9) = 4.4 cm
LSL = Lower Specification Limit (3.5 - 0.9) = 2.6 cm
Standard deviation = 0.28 cm
Substituting these values into the formula:
CP = (4.4 - 2.6) / (6 * 0.28) = 1.8 / 1.68 = 1.07
So, CP rounded to three decimal places is 1.07
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On their birthdays, employees at a large company are permitted to take a 60-minute lunch break instead of the usual 30 minutes. Data were obtained from 10 randomly selected company employees on the amount of time that each actually took for lunch on his or her birthday. The company wishes to investigate whether these data provide convincing evidence that the mean time is greater than 60 minutes. Of the following, which information would NOT be expected to be a part of the process of correctly conducting a hypothesis test to investigate the question, at the 0.05 level of significance?
A. Being willing to assume that the distribution of actual birthday lunch times for all employees at the company is approximately normal
B. Knowing that there are no outliers in the data as indicated by the normal probability plot and boxplot
C. Using a t-statistic to carry out the test
D. Using 9 for the number of degrees of freedom
E. Given that the p-value is greater than 0.05, rejecting the null hypothesis and concluding that the mean time was not greater than 60 minutes.
Answer:
The answer is "Option E"
Step-by-step explanation:
The null hypothesis was rejected so because the p-value was greater than 0.05, indicating that perhaps the meantime was not greater than 60 minutes.
a circle has a radius of 7 inches what is the area of the circle rounded to the nearest whole number
Answer:
A ≈ 153.86 in²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
= π × 7²
= 3.14 × 49
≈ 153,86
≈ 154 in² ( to the nearest whole number )
A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25
Selecting ball number 25 has no chance of happening.
Explain about the probability?Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.
It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.
Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.
In 25th Ball it is 0
Because there is no 25th ball
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Solve each by elimination
x+y =19
x - y = -7
Answer:
x = 6
y = 13
Step-by-step explanation:
x + y = 19
x - y = -7
To eliminate x, subtract ther second equation from the first
2y = 26
y = 13
To eliminate y, add the equations
2x = 12
x = 6
SOMEONE HELP ME I DONT UNDERSTAND THIS
Answer:
Pretty sure there's 90 tens.
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
The x-coordinate is positive, and the y-coordinate is positive.
The x-coordinate is negative, and the y-coordinate is negative.
The x-coordinate is negative, and the y-coordinate is positive.
The x-coordinate is positive, and the y-coordinate is negative.
Done
Answer:
The x-coordinate is negative, and the y-coordinate is negative.
Step-by-step explanation:
(x, -y)
When you reflect over the y-axis, the x-coordinate becomes negative:
(-x, -y)
ILL GIVE BRAINLY!!
Find the value of x.
Answer:
x = 4.
Step-by-step explanation:
The lengths of the line segments on both sides of the triangle are in the same ratio, so:
3 / 2 = x+2/x
2(x+2) = 3x
2x + 4 = 3x
2x - 3x = -4
-x = -4
x = 4.
Answer:
I got 2.39 but I'm not sure if its right or not
8.5x + 0.5 + 3.5x - 2x
Answer:
-0.05
Step-by-step explanation:
10x+0.5
10x=-0.5
x=-0.5/10
x=-0.05
What is .15 written as a rational number
Answer:
it is a rational number already
Step-by-step explanation:
it takes 3.3 quarts to water 1 square foot of a vegetable garden, how many gallons does it take to water a garden 10 feet by 12 feet?
A 96
B 99
C 39.6
D 396
Answer:
i got c
Step-by-step explanation:
A cook wants to make enough cookies for 150 students. The cookie recipe makes
1 1/4 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
A.3
B. 7
C.10
D. 13
E. 15
Answer:
C 10
Step-by-step explanation:
1 1/14 of a dozen is 15
then 150 divided by 15 = 10
I hope this is the right answer
Which can be the first step in finding the equation of the line that passes through the points (5.-4) and (-1,8) in
slope-intercept form?
In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
the points (5.-4) and (-1,8)
slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
slope intercept form = y = mx + c
To find the equation of the line that passes through the points (5, -4) and (-1, 8),
The slope and the intercept by the slope intercept form = y = mx + c .
The slope is -4 and the intercept is 8.
In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .
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. Which of the following is the graph of the equation y = 2x + 3?
Answer:
The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.
It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.
A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)
It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.
Step-by-step explanation:
What is the formula to find the side?
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
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