Answer:
Check Explanation
Step-by-step explanation:
The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.
It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.
These three dimensions perfectly form a Pythagorean triple.
So, the value of cos α now depends on the setup of the triangle.
From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as
Cos α = (Adj/Hyp)
For this Pythagorean triple,
Hyp = hypotenuse side = 29
Adj = Adjacent side = 20 or 21, depending on the triangle's setup.
If the adjacent is 20,
Cos α = (20/29), option A is correct.
If the adjacent is 21,
Cos α = (21/29), option C is correct.
Hope this Helps!!!
Please and thank you
Do 1,2 for 5-8 points.
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
Which best explains at which restaurant the average meal costs the most money?
Restaurant 1, because the interquartile range of Restaurant 1 is greater
Restaurant 1, because more of the graph is located to the right of the median
Restaurant 2, because the median of Restaurant 2 is greater
Restaurant 2, because the range of Restaurant 2 is greater
answer:
d). Restaurant 2, because the range of Restaurant 2 is greater
What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answer:
A. 144 units³
Step-by-step explanation:
Volume of prism= 1/2×height× base × length
Height= 3
Base= 8
Length= 12
Lets put all of these together
1/2×3 × 8 × 12
1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³
expand if necessary combine like terms
(5x+1) (5x-1)=
Answer:
25x^2 - 1
Step-by-step explanation:
khan
Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?
Answer:
$17.33
Step-by-step explanation:
3.5×4.95
=17.325
= $17.33
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
please help will vote brainliest
Answer:
D
Step-by-step explanation:
Start by factoring out each radical.
[tex]\sqrt{16x^{3}} = \sqrt{16}*\sqrt{x^{3}} = 4\sqrt{x^{3}}[/tex]
[tex]\sqrt{8x} = \sqrt{4} * \sqrt{2x} = 2\sqrt{2x}[/tex]
Add them to get:
[tex]\frac{4\sqrt{x^{3}}}{2\sqrt{2x}} = \frac{4\sqrt{x}\sqrt{x}\sqrt{x}}{2\sqrt{2}\sqrt{x}} = \frac{4\sqrt{x}\sqrt{x}}{2\sqrt{2}} = \frac{2x^{2}}{\sqrt{2}} = \sqrt{2} x^{2}[/tex]
D is the answer
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.
Answer:
The domain of f is x > 0.
The range of f is all real numbers.
The domain of the inverse function is all real numbers.
The range of the inverse function is y > 0.
The domain of f is the same as the
range of the inverse function.
The range of f is the same as the
the domain of the inverse function.
Step-by-step explanation:
this is the sample answer, make sure you rewrite in your own words!
The domain and the range of a function are the set of input and output values of the function
The domain and the range of the function are set of real numbers greater than 0
The function is given as:
[tex]f(x) = log_7(x)[/tex]
The above function is a logarithmic function.
From the properties of a logarithmic function, we have:
The x-values are always greater than 0The y-values are always greater than 0This means that, the domain and the range of the function are set of real numbers greater than 0
Read more about domain and range at:
https://brainly.com/question/10197594
what’s the answer for this question
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
find the LCD OF 11/15 AND 23/54
Answer:270
Step-by-step explanation: You have the first step right.
54 = 2 * 3^3
15 = 3 * 5
The common denominator will have the highest powers of all the prime factors.
2 * 3^3 * 5
270
The National Center for Education Statistics surveyed 4400 college graduates about the lengths of time required to earn their bachelor's degrees. The mean was 5.15 years and the standard deviation was 1.68 years. Based on the above information, find the margin of error for a 98% confidence level. Round your answer to the nearest hundredth.
Answer:
The margin of error for a 98% confidence level is of 0.06 years.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.01 = 0.99[/tex], so [tex]z = 2.327[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]\sigma = 1.68, n = 4400[/tex]
So
[tex]M = 2.327*\frac{1.68}{\sqrt{4400}}[/tex]
[tex]M = 0.06[/tex]
The margin of error for a 98% confidence level is of 0.06 years.
About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
f(x) = (x-6)(x + 5)
What are the zeros of the quadratic?
Answer:
x=6 x=-5
Step-by-step explanation:
f(x) = (x-6)(x + 5)
To find the zeros, set the function equal to zero
0 = (x-6)(x + 5)
Using the zero product of property
0 = x-6 0=x+5
x=6 x=-5
6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
(PLEASE ANSWER QUICK!) Why is it important to understand properties of angles and figures to solve problems?
Answer:
The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.
Step-by-step explanation:
Answer please ?
Thanks
Answer:
one solution ... hope this helps
Answer: One solution.
The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.
We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.
NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.
You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.
Hope this helps you out! Feel free to ask questions!
What characteristics are true for all linear, exponential and quadratic functions
A
The range of the function is all real numbers,
B
The graph of the function has no intercepts
c) The graph of the function is always increasing
D) The domain of the function is all real numbers
E) The graph of the function has multiple wintercepts
Answer:
D) The domain of the function is all real numbers
Step-by-step explanation:
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what is 2x+3=x+15 100 points i don't want points
anewr
you could caluta
Step-by-step explanation:
Answer:
X = 12
Step-by-step explanation:
2x + 3 = x + 15
2x + 3 = x = -3
-3 + 15 = 12
So X = 12
Hope I helped!
Have a good day. =)
Jessica's basketball team qualified for the annual championship tournament in Austin. The coach told the team members they would need to earn $2,500 to pay for gas, food, and hotel expenses. The team had a car wash and a bake sale and so far have earned 45% of the money needed for the trip. How much money do they still need to earn for the trip?
Answer:
1375
Step-by-step explanation:
a circle with circumstance 12 has an arc with 48 central angle. what is the length of the arc?
A full circle is 360 degrees.
The arc length would be 48/360 of the full circumference.
12 x 48/360 = 576/360 = 1.6
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The y is the variable.
There’s a imaginary -1 in front of the y
A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?
Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
There are five blue marbles and seven orange marbles in a jar Misha Jaws one blue marble and set it aside what is the probability that Mesa will randomly drawn orange marble from the remaining marbles in jar
Answer:
7/11
Step-by-step explanation:
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.A neighborhood recycled 4,918 pounds of paper per week. At this rate, how many pounds of paper can the neighborhood recycle in five weeks?
Answer:
The answer would be 24,590
Step-by-step explanation:
Going up the multiplication chart like so will determine the answer.
24,590 (5
19,672 (4
14,754 (3
9,836 (2
4,918 (1
Basically just try 4,918 X 5.
Answer:24,590 pounds
Step-by-step explanation:
Do 4,918×5=24,590
what is x if 12= 7x +2 -5x
Answer:
x=5
Step-by-step explanation:
12= 7x +2 -5x
Combine like terms
12 = 2x+2
Subtract 2 from each side
12-2 =2x+2-2
10 =2x
Divide each side by 2
10/2 =2x/2
5 = x
Can anyone help with this math problem ?
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
You need a z-score of at least 1.09 to get accepted.
