Find the missing side. Round to the nearest tenth A) 21.3C) 9.2B) 9.5D) 11.5
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We need to find the side that uses the adjacent and hypotenuse ratio. Using SOHCAHTOA:
Cosine is the ratio between adjacent and hypotenuse. Since x is adjacent to 49 and 14 is the hypotenuse, we can solve for x.
\(\cos (49\degree)=\frac{x}{14}\)First, multiply both sides by 14.
\(\begin{gathered} 14\times\cos (49)=\frac{x}{14}\times14 \\ 14\cos (49)=x \end{gathered}\)Next, we need to simplify the left side of our equation. We will do this using a calculator.
\(14\cos (49)=9.18\approx9.2\)This leads to choice C, 9.2, being the correct answer.
Related Questions
Graph f(x)=-0.25x+4 I need it asap the graph only goes up to 10
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Answer: The exact points are (0,4) and (4,3)
Step-by-step explanation: f(x) is the same thing as using the variable y. You can plug in numbers for the x variable and evaluate. For example, you can use the numbers 0 and 4 for x. 0.25 times 0+4 =4. (0,4) and -0.25 times 4+4=3. (4,3)
help me please !!! correct answer gets brainliest
Answers
Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.
0.3 is less than 30.
Step-by-step explanation:
What is a similarity statement.
Answers
A similarity statement is a mathematical statement that expresses the similarity between two or more geometric figures. It highlights the proportional relationships and corresponding angles.
When we say that two geometric figures are similar, it means that they have the same shape, but their sizes may be different. In a similarity statement, the corresponding sides of the figures are proportional, and the corresponding angles are congruent. This can be expressed as follows:
Figure ABCD ~ Figure WXYZ
In this statement, the tilde symbol (~) indicates similarity between the two figures. The corresponding sides and angles of Figure ABCD and Figure WXYZ will have proportional lengths and congruent measures, respectively. Similarity statements are used in various mathematical contexts, such as geometry, trigonometry, and scale factor calculations.
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what is the coefficient of x² in the taylor series for 1/(1+x)² about x = 0
a) 1/6
b) 1/3
c) 1
d) 3
e) 6
Answers
Answer:
D) 3
Step-by-step explanation:
Recall the formula for a Taylor Series of a function f(x) centered at x=a:
\(\displaystyle f(x)=f(a)+f'(a)(x-a)+\frac{f''(a)(x-a)^2}{2!}+\frac{f'''(a)(x-a)^3}{3!}+...+\frac{f^n(a)(x-a)^n}{n!}\)
Therefore, the coefficient of x² would come from determining \(\displaystyle \frac{f''(a)(x-a)^2}{2!}\):
\(\displaystyle \frac{f''(0)(x-0)^2}{2!}=\frac{\frac{6}{(1+0)^4}x^2}{2}=\frac{6x^2}{2}=3x^2\)
So, the coefficient would be 3.
The coefficient of x² in the Taylor series expansion for 1/(1+x)² about x = 0 can be determined by taking the derivative of the function and evaluating it at x = 0. The correct option is c.
To find the Taylor series expansion of 1/(1+x)², we can start by expanding the function using the geometric series:
1/(1+x)² = (1 - x + x² - x³ + ...)² = 1 - 2x + 3x² - 4x³ + ...
By inspecting the expansion, we can see that the coefficient of x² is 3. Therefore, the correct option is (c) 1.
In summary, the coefficient of x² in the Taylor series for 1/(1+x)² about x = 0 is 3, which corresponds to option (c).
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amber wants to have $300,000
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Answer:
i hope i can answer your question
Step-by-step explanation:
Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please
help with question...
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what is the answer to - (-8 - 6t)
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Answer:
8 + 6t
Step-by-step explanation:
just distribute the negative signs in front of the parenthesis which is technically just -1
or if its easier, just multiply the numbers inside the parenthesis by -1 and get rid of the parenthesis
d.) note that the outcome of interest is a function of , and thus balance on is critical for valid causal inference. if units are matched or partitioned into subgroups according to their true propensity scores, are these subgroups expected to be balanced, on average, in terms of ? why or why not? choose the best answer.
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Yes, the subgroups are expected to be balanced, on average, in terms of X5 because the outcome of Y is still a function of X5.
The true data-generating mechanism for the simulated data is given below.
Y = 4Z - 0.8X1 - 3X2 + 6X4 + X5 + error
We see that the outcome of interest Y is a function of X5, and thus balance on X5 is critical for valid causal inference. The units are matched or partitioned into subgroups according to their true propensity scores. We need to determine if these subgroups are expected to be balanced, on average, in terms of X5 or not, and the reason behind it.
We can conclude from the above statements that the outcome of Y is still a function of X5.
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Please help me I need help now please
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Answer:
\(the \: third \: answer \: is \: correct\)
F(x)=0.5x^2-2 and g(x)=8x^3+2
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Answer:
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
Step-by-step explanation:
To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.
f(x) = 0.5x² - 2
g(x) = 8x³ + 2
(f*g)(x) = (0.5x² - 2)(8x³ + 2)
(f*g)(x) = 4x⁵ + x² - 16x³ - 4
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
consider a tree that is 50 m tall and is transpiring roughly 90 liters of water each day. approximately how many calories will the tree use to transpire this quantity of water?
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In linear equation , A tree that is 50m tall and is transpiring roughly 90liters of water each day. So 0 calorie will the tree use to transpire this quantity of water .
What is linear equation explain with example?
An equation with only one variable is referred to as a linear equation in one variable.It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.What makes an equation linear?
A linear equation's graph almost always takes the shape of a straight line. Definition of a Linear Equation: When a linear equation is graphed, it always produces a straight line because each term in the equation has an exponent of 1. It is called a "linear equation" for this reason.Learn more about linear equation
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(a)The perimeter of a rectangular parking lot is 350 m . If the length of the parking lot is 97 m , what is its width?
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The width of the parking lot is 78 m
We have been given the perimeter of a rectangular parking lot which is equal to 350 m.
We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).
And the length of the parking lot is given as 97 m.
2 X (width of the plot ) +2 X (length of the parking lot ) =350 m
2 X (width of plot ) + 2 X 97 =350
2 X (width of the plot ) =156 m
width of the plot = 78 m
Hence the width of the plot is 78 meters.
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The width of this rectangular parking lot is equal to 78 meters.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:
P = 2(L + W)
350 = 2(97 + W)
175 = 97 + W
Width, W = 175 - 97
Width, W = 78 meters.
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I'm been doing this question about an hour still can't solve so I really need your help! Really appreciate if u do :D
Answers
Explanation:
1 hat = 45 dollars
6 hats = 6*45 = 270 dollars
1 phone = 40 dollars
4 phones = 4*40 = 160 dollars
total = $270 + $160 = $430
Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430
In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
Let X be normal with mean ji and variance o2. For fixed u, show that P(X > 10) is an increasing function of o when u < 10, and a decreasing function of o when u > 10. Give an intuitive reason why the preceding is true.
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\(P(X > 10)\) is an increasing function of o when\(u < 10\) and a decreasing function of o when \(u > 10\).
Is the probability of X being greater than 10 affected by the variance when u is less than or greater than 10?The probability \(P(X > 10)\) can be interpreted as the area under the normal distribution curve to the right of the value 10. When \(u < 10\), increasing the variance \(o^2\) results in a wider distribution, which leads to a larger area to the right of 10. Hence, \(P(X > 10)\) increases with o.
Conversely, when \(u > 10\) , increasing the variance \(o^2\) results in a wider distribution, but it also increases the probability of the random variable falling below 10. This reduces the area to the right of 10 and thus decreases \(P(X > 10)\).
In simpler terms, when the mean u is less than 10, a larger spread (higher variance) of the data increases the likelihood of observing values greater than 10. On the other hand, when the mean u is greater than 10, a larger spread decreases the likelihood of observing values greater than 10.
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Help me please with this
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The domain and the range of this function shown in the graph include the following;
Domain = -5 ≤ x < 1.Range = -4 ≤ y < 7.How to identify the domain and range of this graph?In Mathematics, the horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Furthermore, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Note: Each interval on this graph represent 1 unit and the less than or equal to (≤) would be used because the dotted point is shaded (closed).
By critically observing the graph shown above, we can reasonably and logically deduce the following:
Domain = -5 ≤ x < 1 or [-5, 1].
Range = -4 ≤ y < 7 or [-4, 7].
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Find the amount of the top and the total price of the meal with the given information.
Food Bill : $31.92
tip: 15%
whats the answer?
Answers
Answer:
total; 36.71
tip; 4.79
Step-by-step explanation:
31.92 x 1.15=36.71
31.92 x .15=4.79
Four times a number, minus 9, is equal to three times the number, plus 2.
Answers
4x-9 = 3a+2
Will give brainlest for this question my practice test!!!!!!
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Answer:
You didnt show the drop down. Just add 3 units to each point tho if u want to solve it.
Step-by-step explanation:
A restaurant owner wants to attract more customers by getting enough ratings to appear on a popular social media site. The owner can generate 10% more business by reaching an additional 100 reviews. He knows that he provides one hundred 50% off coupons for meals, he can get 100 reviews. How much will it cost to increase business by 10% if each coupon is likely to cost $15?
Answers
Answer:
25%
Step-by-step explanation:
cause i did marh
83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard deviation of 2.4. Construct a 90% confidence interval for the population standard deviation.
Answers
Answer:
\(\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}\)
\( 4.525 \leq \sigma^2 \leq 7.602\)
Now we just take square root on both sides of the interval and we got:
\( 2.127 \leq \sigma \leq 2.757\)
Step-by-step explanation:
Information given
\(\bar X=32.1\) represent the sample mean
\(\mu\) population mean (variable of interest)
s=2.4 represent the sample standard deviation
n=83 represent the sample size
Confidence interval
The confidence interval for the population variance is given by the following formula:
\(\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}\)
The degrees of freedom given by:
\(df=n-1=8-1=7\)
The confidence level is 0.90 or 90%, the value of \(\alpha=0.1\) and \(\alpha/2 =0.05\), and we can use excel, a calculator or a table to find the critical values.
The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:
\(\chi^2_{\alpha/2}=104.139\)
\(\chi^2_{1- \alpha/2}=62.132\)
The confidence interval is given by:
\(\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}\)
\( 4.525 \leq \sigma^2 \leq 7.602\)
Now we just take square root on both sides of the interval and we got:
\( 2.127 \leq \sigma \leq 2.757\)
giving ten points since thats all i have
Answers
Since the sign is <, the circle will not be shaded. Move the -1 to the left and / 4.
Calculate the bearing of U from T. U N 32° T
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The bearing of U from T in the image is 32 degrees South by West of T
What is Bearing?In mathematics, bearings refer to the direction of an object or location in relation to two points. It is determined by the angle between the line joining them and that of the north.
Measured typically in degrees, it follows a cardinal system where 0° or 360° signifies North; East stands for 90°, South denotes at 180° while West represents 270°.
Thus, it can be seen that the bearing of U from T in the image is 32 degrees South by West of T
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In this discussion, you will reflect on what you have learned about solving equations.
Discussion Prompt: Sarah and Kayla both solved the problem below. Who do you think solved it correctly? For the person who solved it incorrectly, what mistake do you think was made?
Sarah
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Kayla
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x + 3x - 15 = -10 + 3x + 3x
5x - 15 = -10
5x - 15 + 15 = -10 + 15
5x = 5
x = 1
Post a brief paragraph responding to the discussion prompt above. Your post should use concepts presented in this module/lesson. Your post must be completed before you can see posts from your classmates.
Discussion Responses
Answers
The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
How to illustrate the information?It should be noted that an equation is simply used to illustrate the relationship between two variables.
In this case, the solution to the equation will be:
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
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How do you Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
Answers
The simplified expression is \(21x^2 - 25x - 28\) in the given case.
An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.
"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.
To simplify the expression, first distribute the -3x and (3x + 4) terms:
\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)
Next, combine like terms:
\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)
Therefore, the simplified expression is \(21x^2 - 25x - 28.\)
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Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
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\((\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})\)
HELP
Dave believes he has written a syllogism, but Kelly disagrees. Explain why you agree with Dave or Kelly.
Some silver bracelets are expensive.
All expensive bracelets are beautiful.
Therefore, gold bracelets are beautiful.
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I agree with Kelly as it's not syllogism and hence not a deductive reasoning.
What is syllogism?A syllogism is a type of logical argument that relies on deductive reasoning to draw a conclusion from two assertions or presumptions. A syllogism first appears when two true premises legitimately imply a conclusion, or the main point that the argument is attempting to make.
The sentence given is:
Some silver bracelets are expensive.
All expensive bracelets are beautiful.
Therefore, gold bracelets are beautiful
It should be noted that the sentences don't correlate with themselves.
An example of a syllogism is "All mammals are animals. All elephants are mammals. Therefore, all elephants are animals
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|−4| Choose... equal to |4|. |−4| is the distance from −4 to Choose... on a number line.
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Use the diagram to the right.
If 17, what theorem can you use to show that ?
Answers
Answer:
its c
Step-by-step explanation:
dont ask why to much to type
Give an example of a function with a domain of (-∞,0).
Answers
Answer:
The one to the right
Step-by-step explanation:
