Answers
The measure of the z value from the given figure is 6 2/3.
We need to find the unknown value for the given figure.
What are trigonometric ratios?In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short. Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.
Using trigonometric ratios we can find the z value.
From the given figure, tan θ = 4/6 ----(I) and also tan θ = z/10 ----(II)
Now, equation (I) = (II)
⇒ 4/6 = z/10
⇒ 4 × 10 = z × 6
⇒ 6z = 40
⇒ z = 40/6
⇒ z = 20/3
⇒ z = 6 2/3
Therefore, the measure of the z value from the given figure is 6 2/3.
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Related Questions
Which Pythagorean identity is correct?
O sin²(e)+1=cos²(e)
O tan²(e)+1=sec²(e)
O 1-cot²()-csc²(e)
O 1-cos²(e)-tan²(e)
Answers
Correct answer is B. The value of tan²(e)+1 is sec²(e).
What are trigonometric ratios?Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.
In geometric figures, unknown angles and distances are derived from known or measured angles using trigonometric functions. The necessity to calculate angles and distances in disciplines like astronomy, mapmaking, surveying, and artillery range finding led to the development of trigonometry.
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Answer:
The second one is correct.
Step-by-step explanation:
The second one is correct.
The three identities which connect the squares of the trig ratios are
sin^2 x + cos^2 x = 1
sec^2 x = 1 + tan^2 x ( the second one in the question is rearranged)
cosec^2 x = 1 + cot^2 x
An aid to remembering the last 2 is:
the left side ratio comes before the right in alphabetical order.
What is the solution of each equation? Check your answers.
(c) e³x+5=15
Answers
The solution of each equation e³x+5=15 is 0.498.
What is an equation ?e³x+5=15 is
20.0855 x =10
x= 0.498
A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.
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in a distribution that is skewed right, it is implied that the mean is the median. hint: draw it out! group of answer choices equals to smaller than insufficient information to answer greater than
Answers
If the distribution is skewed right, the mean is greater than the median.
A distribution is said to be skewed right if more than half the area under the distribution curve is to the right of the mode of the distribution. Also the tail of the distribution will be longer on the right side. In this case, the distribution is said to be positively skewed.
Then the mean of the distribution will be greater than the median of the distribution.
i.e., mean > median
Likewise, the distribution is said to skewed left if more than half of the area under the distribution curve is on the left side.
Also if a distribution is not skewed, then it is said to be symmetric.
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Pablo says that 9^0/9^0 is undefined because you cannot divide by zero. Is he correct? Explain
Answers
[tex]\cfrac{9^0}{9^0}\implies \cfrac{1}{1}\implies 1 ~~ \ne ~~ und efined[/tex]
In january of 2019, the american midwest experienced record-breaking freezing temperatures. A certain metropolitan area in wisconsin, with a residential population of over 1. 15 million, experienced daily average temperatures as low as minus 28 degrees fahrenheit. Hospitals saw a steady stream of patients reporting symptoms of frostbite. In the aftermath, a survey was conducted in order to estimate the true proportions of individuals afflicted by frostbite during the extreme weather. 289 residents were selected via simple random sampling and 273 reported not having any symptoms. What was the sample proportion obtained by the survey? give your answer to 3 decimal places. For help on how to input a numeric answer, please see instructions for inputting a numeric response.
Answers
The proportion of the sample obtained from the survey is 0.055
What is a percentage?
The percentage is a mathematical operation that is expressed with the symbol "%" is a relationship that allows us to know the portion of an initial value to represent a set.
It could also be defined as a representation of an original value that lets us know a certain number of elements that we want from that original value or set.
To solve this problem, we use a simple rule of three to find the percentage value of the sample.
289 -------- 100%
273 --------- x
x = (273 * 100%) / 289
x = 94.46%
100% - 94.46% = 5.53%
The ratio in propotion with 3 decimals is
5.53/100 = 0.055
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Number line draw the intersection in the union of the following intervals (-7, 0) and (-3, 5)
Answers
The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively
Given,
The intervals = (-7,0) and (-3,5)
Draw the intersection and union of the intervals in the number line
The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)
Intersection of the intervals (-7,0) and (-3,5) = (-3,0)
The union is the set that consist of all the elements in the first interval and all the elements in the second interval
Union of the intervals (-7,0) and (-3,5) = (-7,5)
Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively
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Pls help and explain
Answers
help pleaseeeeeeeeeee ty
Answers
Answer:
ALWAYS TRUE
Step-by-step explanation:
ab/ac is just a(b/c) simplified
Answer:
Step-by-step explanation:
sometimes
Find the size of the angle XYZ. Give your answer to 1 decimal place
Answers
Use SOHAHTOA to find cos is needed
Set up cos x equation
Find x to be 66.4 to 1 dp
Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.
Answers
An equation which is the best model for a line of fit for the given data is y = 3/4x + 5.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
By critically observing the graph (see attachment) which models the data in the table above, we can logically deduce that an equation for the line of best fit is given by y = 3.7x + 0.3.
In conclusion, an equation which is the best model for a line of fit for the data is y = 3/4x + 5.
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I will Mark Brainly to you. please help its a math question (geometry )
Thank you so much. take care
Answers
Similarly to the question i just answered the sum of all exterior angles in any polygon is 360, so the sum equals to 360
What equation relates the x values to the y values in the
function shown?
{(0,4), (2,5), (4, 6), (6,7)}
Answers
Answer: y = [tex]\frac{1}{2}[/tex]x + 4
Step-by-step explanation:
First, let us graph the points to see patterns. See attached.
This function is linear, so we can write an equation in slope-intercept form. m is the slope and b is the intercept.
We can find the slope with rise over run. Starting at point (0, 4) and counting up one and over 2 to (2, 5).
y = mx + b
y = [tex]\frac{1}{2}[/tex]x + 4
A punch recipe calls for one and 12 quarts of sparkling water and 3/4 of courts of grape juice how much of each ingredient would you need to make 75 quarts of punch sparkling water group juice
Answers
Answer:
a punch recipe calls for one and 12 quarts of sparkling water
Step-by-step explanation:
Answer:
Sparkling water: 50 quarts
Grape Juice: 25 quarts
Step-by-step explanation:
The punch recipe uses 1 1/2 quarts of water and 3/4 quarts of grape juice
That would make a total of
1 1/2 + 3/4 = 3/2 + 3/4 = 6/4 + 3/4 = 9/4 quarts of punch
Therefore to make 75 quarts, we have to figure out how many of 9/4 quarts would be needed.
This is 75 ÷9/4
Dividing by 9/4 is same as multiplying by 4/9
75 ÷9/4 = 75 x 4/9 = 300/9 = 100/3
So we will need 100/3 times as much of both ingredients
For sparkling water this would be
1 1/2 x 100/3 = 3/2 x 100/3 = 300/6 = 50 quarts
For grape juice we will need
3/4 x 100/3 = 300/12 = 25 quarts
(Or we can subtract 50 from 75 to get 25 quarts)
If x•y=z, which of the following statements is true?
Answers
Answer:
B) [tex] \frac{z}{y}= x[/tex]
Step-by-step explanation:
Let's solve for x.
xy=z
Step 1: Divide both sides by y.
xy/y = z/y
x = z/y
-----------------------
Let's solve for y.
xy=z
Step 1: Divide both sides by x.
xy/x = z/x
y= z/x
-----------------------
Let's solve for z.
xy=z
Step 1: Flip the equation.
z=xy
-----------------------
If we look through the options we see only option b is correct, therefore option B is the answer.
Factor each expression.
4 b²-100
Answers
asadsadasdasdaasdsadasd
The factors of the expression are (2b+10) and (2b-10).
A factor in mathematics is an integer that evenly divides another number by itself, leaving no remainder.
We can employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a number.
Factors of an algebraic expression is calculated by factoring the given expression into smaller algebraic expressions.
Now let us factor the given expression.
4 b²-100
This expression can be written in the form of the difference of two squares.
(2b)²-(10)²
We know that (a²-b²) can be factored into (a+b) and (a-b).
So the expression (2b)²-(10)² can be factored into (2b+10) and (2b-10).
Therefore the factors of (4 b²-100) are (2b+10) and (2b-10).
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What is the unit price 6 juice boxes for $8.49
Answers
Answer:$1.415
Step-by-step explanation: We divide the price of certain number of units of an item by the number of units to find the unit price of that item. For example, to find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.
Explanation: To find the unit price, we divide the price of 6 juice boxes ($8.49) by 6 juice boxes.
Division:
$8.49 / 6 juice boxes = $1.415 per juice box.
Simplify:
We are not finished. Taking into consideration that money is counted in a minimum of hundredths (two places to the right of the decimal point), we can see that to the right of .41 is a 5. For numbers that are 5 or greater, we round up. For numbers 4 or less, we round down. $1.415 rounds up to the nearest cent, which is $1.42.
The unit price of 6 juice boxes for $8.49 is $1.42 per juice box.
Two financial institutions offer different deals to new customers. The first bank offers an interest rate of 3% for the first year and 2 % for the next two years. The second bank offers an interest rate of 2.49 % for three years. You decide to invest the same amount of principal in each bank. To answer the following, assume you make no withdrawal or deposits during the three-year period.
b. Write a function that represents the total amount of money in the account in the second bank after three years.
Answers
Total amount of money in the account in the second bank after 3 years will be represented by the function: P[tex]e^{0.0747}[/tex].
The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-
A = P[tex]e^{rt}[/tex]
Here, we are given that there are 2 financial institutions-
1st financial institution:
interest rate = 3% for the first year
and interest rate for next two years = 2%
2nd Financial institution:
interest rate = 2.49% for three years
Let the principal amount deposited be P
We assume that the interest is compounded continuously.
Then for the 2nd bank-
Amount = P[tex]e^{rt}[/tex]
here, r = 2.49%
= 0.0249
Amount = P[tex]e^{0.0249 * 3}[/tex]
= P[tex]e^{0.0747}[/tex]
Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P[tex]e^{0.0747}[/tex].
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stan a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. on monday he is assigned a route that is 30 miles long. how much is he being paid for that day
Answers
$105+$75=$180
- ♡
After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
a. What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
Answers
As t varies inversely with n , we can use coordinate pair function model.
What is inversely proportional ?The inversely proportional property state that two values are opposite to each other. If there will increase in one value or quantity then the another quantity will automatically decrease with the same ratio or different and if one quantity will decrease then another will increase with that ratio.
Say if x and y are inversely proportional, then mathematically
x ∝ 1 / y
In this question ,
we can use coordinate pair from the table to clear the debris from an average-sized yard relative to the number of students who do the work.
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The complete question is :
After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
1-98 a line passes through the point (-3,20) and has a slope of -6. Write the equation of this line in point-slope form
Answers
The standard form for the linear equation is y=6a+38.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:
a= the slope.
b= the constant term that represents the y-intercept.
For the given example: a=5 and b=3.
The question gives:
- the value of the slope (a) = 6
- the coordinates of a point = (-3,20)
Thus, you can write from the question information :
y=ax+b
20=6*(-3)+b
20=-18+b
b=20+18=38
Therefore, the standard form for the linear equation is:
y=6a+38
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8x+3=8x what’s the anwser to this question
Answers
Answer: 0 = -3, The input is a contradiction: it has no solutions
Step-by-step explanation: Is in the photo Screenshot
For the equation 2x-y=1 , if x=2 then y=?
Answers
y=3
Step-by-step explanation:
2x-y=1
if x=2 then
2(2)-y=1
4-y=1
y= 4-1
y=3.
Answer:
y = 3
Step-by-step explanation:
2x - y = 1 ← substitute x = 2 into the equation
2(2) - y = 1
4 - y = 1 ( subtract 4 from both sides )
- y = - 3 ( multiply both sides by - 1 )
y = 3
please help me due today aslo will mark branliest for correct answer
Answers
2x4+3x-1= 5
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
Answers
The length of the hypotenuse is 13 inches
What is the length of the hypotenuse?A right triangle is a three-sided polygon. For right triangles, the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees of which one of the angles measure 90 degrees.
According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.
The Pythagorean Theorem: a² + b² = c²
Where:
a = lengthb = basec = hypotenuse5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169
c = 13 inches
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The other person deserves Brainliest, they put tons of work Into answering the question
Find the two solutions to this equation:
(5x – 1)(x – 2) =0
Give each of your answers as an integer or a fraction in its simplest form.
Answers
Step-by-step explanation:
[tex](5x - 1)(x - 2) = 0 \\ 5x - 1 + x - 2 = 0 \\ 5x + x = 0 + 2 + 1 \\ 6x = 3 \\ 6x = 3 \\ 6 \: \: \: \: \: \: \: \: \: \: \: \: 6 \\ x = \frac{1}{2} [/tex]
HELP ASAP PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty
Answers
Answer: D
Step-by-step explanation: The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.
What is 02÷53?
Please help me.
Answers
Answer:
0.0377358490566038 or 2/53
Step-by-step explanation:
Your family is having pizza for dinner. Your mom asks you to
divide the 2 pizzas so everyone gets an equal amount. How
many servings of size can you make out of the 2 pizzas?
Answers
Answer: Ok, So It will make sense if you cut the pizza in 8 for everyone can get two depending on how many people they are.
Step-by-step explanation:
How can the subtraction problem 9−4 be rewritten as an addition problem?
Answers
Answer:9-4=5 5+4=9
Step-by-step explanation:
Which law would you use to simplify the expression (p/q) 3
power of a power
power of a quotient
quotient of powers
power of a product
Answers
The power of quotients will be the law that would be used to simplify the expression. The correct option is B.
What is the power of quotients?It should be noted that this is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.
Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.
The division will be:
(p/q)³
= p³ / q³
Therefore, the power of quotients will be the law that would be used to simplify the expression.
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