Answers
Answer:
30 degrees
Step-by-step explanation:
Since one leg is half the length of the hypotenuse, it's a 30-60-90 right triangle. Therefore, the angle opposite the smaller leg is 30 degrees.
Related Questions
graphing linear equation.5x-9y=-7
Answers
The graph of the linear equation, 5x - 9y = -7, is in the attachment below.
How to Graph a Linear Equation?The linear equation that models a graph can be written in slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.
Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:
5x - 9y = -7
-9y = -5x - 7
-9y/-9 = -5x/-9 - 7/-9
y = 5/9x + 7/9
This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.
The graph is shown below.
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what is the answer? HELP MEEE
Answers
Answer: 126
Step-by-step explanation:
11+5=16
Step-by-step explanation:
square root of 121 is 11 and cube root of 125 is 5 i.e
11^2=121 and 5^3=125
Evaluate.
please help
me solve this
Answers
Answer:
\(1\) \(\frac{1}{4}\)
Step-by-step explanation:
Hope this helps
Answer:
\(1 \frac{1}{4} \)
Step-by-step explanation:
\( \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} \)
Please if someone can help me
Answers
\(\huge\underline\gray{✏ANSWER}\)
\( \frac{6}{7} \)
I hope it helps!
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Suppose that cos(θ)=2/3. Find the exact value of sec(θ)
Answers
sec(θ) = 1/cos(θ)
Given that cos(θ) = 2/3, we substitute this value into the expression:
sec(θ) = 1/(2/3)
To divide by a fraction, we can multiply by its reciprocal:
sec(θ) = 1 * (3/2)
Simplifying the expression:
sec(θ) = 3/2
Therefore, the exact value of sec(θ) is 3/2.
1, What does the y_intercept mean2, What does the x_intercept mean3, identify the x intercept and the y intercept from. the equation y= 7/2x _ 2 x=_3
Answers
Y-intercept is the point where the line crosses the y-axis, at this point x=0.
X-intecept is the point where the line crosses the x-axis, at this point y=0.
To identify the x intercept and y intercept, we are going to substitute x=0 and y=0 in the function:
\(y=\frac{7}{2}x-2\)y=7/2(0)-2
y=-2 ---> y-intercept
0=7/2x-2
2=7/2x
2*2/7=x
x=4/7---> x-intercept
If f (1) = 1 what is f (3)?
Answers
Answer: f (3) = 3
Step-by-step explanation:
If f(1) = 1
Then
f(3) = 3
alfred and bonnie play a game in which they take turns tossing a fair coin. the winner of a game is the first person to obtain a head. alfred and bonnie play this game several times with the stipulation that the loser of a game goes first in the next game. suppose that alfred goes first in the first game, and that the probability that he wins the sixth game is m n , where m and n are relatively prime positive integers. what are the last three digits of m n ? (1993,
Answers
So, the last three digits of m*n is 001.
Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.
Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:
p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2
Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.
Therefore, the last three digits of m*n is 001.
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Jim borrows $790 for 4 months. He pays a simple interest rate of 6%. How much interest must he pay? Round your answer to the nearest cent if necessary.
Answers
Answer:
Jim will be paid $150 or 30% to his account.
Persevere with Problems A student scored 98, 94, 96, and 88 points out of 100 on the last four science tests. What score must the student score on the fifth test to have an average of at least 94 points? The student must score at least points on the fifth test to have an average of at least 94 points for all of the tests.
Answers
98+96+94+88+94=470
470÷5=94 (average)
Two planes л₁ and л₂ have vector equations r.(5i-3j+k)=2 and r.(-i-9j+3k)=6 respectively. (a) Find the unit vector which is parallel to both planes. Hence, find a Cartesian equation for the line of intersection, I, of the two planes. (b) Find the angle between these two planes. (c) The planes л, has equation r.(-i+aj+bk)=6, where a and b are real numbers. Find the values of a and b given that the 3 planes л₁, л₂ and л, intersect in the common line l.
Answers
The values of a and b are a = 3, b = 0
How to determine the unit vector?a) The unit vector which is parallel to both planes is the cross product of the normal vectors of the two planes. The normal vector of a plane with a vector equation of r.(a_1i + a_2j + a_3k) = d is (a_1i + a_2j + a_3k). So the normal vectors of planes л₁ and л₂ are (5i - 3j + k) and (-i - 9j + 3k) respectively. The cross product of these two vectors is (15i + 27j - 15k). This is a unit vector if we divide by the magnitude of vector. So the unit vector which is parallel to both planes is (15i + 27j - 15k)/sqrt(15^2+27^2+(-15)^2)= (i+3j-k)/sqrt(19)
The vector equation of the line of intersection is r = r0 + t(i+3j-k)/sqrt(19) where r0 is a position vector of a point on the line of intersection and t is a scalar parameter.
How to determine the angle?b) The angle between two planes is given by the formula:
cos(theta) = (n1.n2) / (|n1| * |n2|)
where n1 and n2 are the normal vectors of the planes and |n1| and |n2| are the magnitudes of the normal vectors.
So, the angle between the two planes is arccos( (5i - 3j + k).(-i - 9j + 3k) / (|5i - 3j + k| * |-i - 9j + 3k|) ) = arccos( (-5 - 27 + 3) / (sqrt(35) * sqrt(91)) ) = arccos(-19/sqrt(35*91))
How to determine the vector of plane?c) The normal vector of plane l is (-i + aj + bk) the direction vector of the common line of intersection should be parallel to both normal vector of plane l and the unit vector found in a) that is parallel to both plane 1 and plane 2.
so, (-i + aj + bk) . (i+3j-k)/sqrt(19) = 0
so, a-3 = 0 and b = 0
so the values of a and b are a = 3, b = 0
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I will show a picture of my equation
Answers
47 = 2(k + 3) + 3(k - 3)
47 = 2k + 6 + 3k - 9
47 - 6 + 9 = 2k + 3k
56 - 6 = 5k
50 = 5k
k = 50/5
k = 10
Result k = 10
DE≅AE ,BA∥CE , CB∥DA and m∠C=65∘
Answers
The measure of <BAE is 130 degree.
We have,
m <C = 65
As, opposite sides are parallel then ABCD is a parallelogram.
Then, opposite angles of a parallelogram are congruent
∠ BAD = ∠ BCD = 65°
∠ ADE = ∠ BAD = 65° ( alternate angles )
Since, DE = AE then Δ ADE is isosceles Triangle.
So, ∠ DAE = ∠ ADE = 65°
We can write,
∠ BAE = ∠ BAD + ∠ DAE = 65° + 65° = 130°
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Please help me I really need asap
Answers
Answer:
Answer 4
Step-by-step explanation:
The slope is 7.8-4.8/12-7 = 3/5 = 0.6
So choose between 3 & 4
Plug in one of the points in 3:
7.8=0.6*12+1.8
7.8=7.2+1.8
7.8=9 wrong
Plug in 4:
7.8=0.6*12+0.6
7.8=7.2+0.6
7.8=7.8 correct
Lisa and her brother are saving money to go on a trip. For every $2 Lisa saves, her
brother saves $5.
Write a ratio to compare the amount of money Lisa saves to the amount of
money her brother saves. (1 point)
Answers
Answer:
The anser is 2:5 or 2/5.
Step-by-step explanation:
The ratio of saving money for Lisa and her brother is 5 : 2.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Lisa and her brother are saving money to go on a trip. For every $2 Lisa saves, her brother saves $5.
Therefore, The ratio of saving money for Lisa and her brother is,
Lisa : Her brother = 5 : 2.
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In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are summarized in the following table below.
Answers
If in a survey, 200 college students were asked whether they live on campus and if they own a car, 55% of college students in the survey don't own a car.
To find the percent of college students who don't own a car, we need to add up the number of students who don't own a car and divide it by the total number of students in the survey. In this case, the total number of students in the survey is 200.
From the table, we can see that there are 88 students who live on campus and don't own a car, and 22 students who don't live on campus and don't own a car. So the total number of students who don't own a car is 88 + 22 = 110.
To find the percentage, we divide the number of students who don't own a car by the total number of students in the survey and then multiply by 100 to get the percentage:
Percentage of students who don't own a car = (110/200) x 100% = 55%
When working with percentages, we need to divide the number we are interested in by the total and then multiply by 100 to get the percentage.
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find the measure of A
1. 115
2.130
3. 125
4. 150
Find the measure of B
1. 60
2. 25
3. 50
4. 30
Answers
The correct option are;
Part a: measure of A is 2.130.
Part b: measure of B is 3. 50.
Explain the term corresponding angles?Any pair of angles that are both on the same side of the line that divides two other lines into their respective halves.For the stated question.
5x + 55 = 2x + 100 (corresponding angles)
3x = 45
x = 15
So,
2x + 100 = 2*15 = 100
2x + 100 = 130
And, 2x + 100 + ∠B = 180 (linear pair)
130 + ∠B = 180
∠B = 50
Also, 5x + 55 = 5*15 + 55 = 130
∠A = 130 (vertically angles)
Thus, the measure of A is 130 and the measure of B is found as 50.
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Examine the graph. Which statements are true about the function represented by the graph? Select all that apply.
The function is negative over the interval (−16,0).
The function is negative over the interval (−5,3).
The function is positive over the interval (3,∞).
The function is positive over the interval (−∞,−5).
The function is positive over the interval (−5,3).
The function is negative over the interval (−∞,−5).
Answers
====================================================
Explanation:
The portion below the x axis is when f(x) is negative. This happens on the interval \(-5 < x < 3\). Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when \(-5 < x < 3\) we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.
----------
The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.
The x < -5 portion converts to the interval notation (−∞,−5)
The x > 3 portion converts to the interval notation (3,∞)
The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3) so options (B),(C), and (D) will be correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
If we look at the graph
The value of graph is positive after x = 3 and it is positive before x = -5
Let's say the graph is going infinitely in both directions.
Then the function is positive over the interval (3,∞) and interval (−∞,−5).
The function is negative from x = -5 to 3 so it will be negative over that.
Hence "The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3)".
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A skin patch contains a new drug to help people quit smoking. A group of 75 cigarette smokers have volunteered as subjects to test the new skin patch. For one month, 40 of the volunteers receive skin patches with the new drug. The other volunteers receive skin patches with no drugs. At the end of the two months, each subject is surveyed regarding his or her current smoking habits.
a) Is this an experiment or an observational study?
b) Identify the control group, if any, If no control group, write NONE.
c) Identify the treatment group, if any, If no treatment group, write NONE.
d) Is there a placebo being used or not? Explain.
Answers
A) The given problem can be considered as an experiment as the researcher is trying to observe the effect of a new drug on quitting smoking.
B) In this experiment, the control group is composed of the participants who received skin patches with no drugs. They are used for the comparison of the effects of the treatment.
C) The treatment group in this experiment is composed of the participants who received skin patches with the new drug. This group is used to analyze the effect of the treatment.
D) Yes, there is a placebo being used in this experiment, which is the skin patch without the new drug. It is used to evaluate the effectiveness of the new drug.
Explanation:
An experiment is a study in which the researcher changes one or more variables and observes or measures the effect of those changes on another variable. In this given problem, the researcher is trying to observe the effect of a new drug on quitting smoking. Thus, it can be considered an experiment.
The control group is a group of participants who do not receive the treatment and are used for comparison with the treatment group. In this experiment, the participants who received skin patches with no drugs acted as the control group.
The treatment group, on the other hand, is a group of participants who receive the treatment and are used to analyze the effect of the treatment. In this experiment, the participants who received skin patches with the new drug acted as the treatment group.
A placebo is an inactive substance that has no therapeutic effect but is used in studies to evaluate the effectiveness of a drug or intervention. In this experiment, the skin patch without the new drug is used as a placebo to evaluate the effectiveness of the new drug. Thus, it is being used in the given experiment.
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can you help me understand this? i have a test on this tomorrow. pls go into further detail im rlly confused... thank you in advanced!! ❤
Answers
Answer:
6.71
Step-by-step explanation:
All you do is calculate the square root, you can use a calculator and put in 3√5 = 6.70820393 …
round it to the nearest tenth = 6.71
Select the correct answer.
What is the domain of f(x) = 2|x − 1| + 3?
A.
{x | x ≥ 3}
B.
{x | x < 1}
C.
{x | x ≤ -1}
D.
{x | x = all real numbers}
Answers
Answer:
D. {x | x = all real numbers}Step-by-step explanation:
The domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is
\(-\infty \:<x<\infty \:\)
\(\mathrm{Domain\:of\:}\:2\left|x-1\right|+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\)
Answer:
The answer is {x | x = all real numbers}
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS ASAP PLS
Answers
Answer: Answer is "D" aka 3.
Step-by-step explanation: the number sequence goes up by three on each bar; leaving the final number to be 3.
Find X thank you I appreciate it
Answers
The value of x in the circle is 115 degrees
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The theorem of intersecting chords can also be used to find the measure of an arc in a circle.
Specifically, if two chords intersect inside a circle, then the sum of the measures of the arcs intercepted by one chord is equal to half the sum of the measures of the arcs intercepted by the other chord and vice versa
Using the theorem of intersecting chords. we have
x = 1/2 * (80 + 150)
Evaluate the sum
So, we have the following representation
x = 1/2 * 230
This gives
x = 115
Hence, the solutionn is 115 degrees
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Establish the identity.
(csc 0+1)(csc 0-1) = cot 0
a. Multiply and write the left side expression as the difference of two squares: ?
b. The expression from the previous step is equivalent to cot 0 using what?
OA. Cancellation Property
OB. Quotient Identity
OC. Pythagorean Identity
OD. Reciprocal Identity
OE. Even-Odd Identity
pls help asap i can’t pass this class without passing this test
Answers
To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.
The left side of the given equation can be written as:
(csc0+1)(csc0-1)
We can then apply the difference of squares formula to this expression to get:
(csc0+1)(csc0-1) = (csc0+1)(csc0-1)
Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.
Therefore, the correct answer is C. Pythagorean Identity
mikayla lives 4 miles north and 6 miles west of the pizzeria. will the pizzeria deliver to her home?
Answers
pizzeria will not deliver to mikayla as distance is out of radius.
Coverage location of pizzeria company.According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles
According to given data:mikayla lives 4 miles north and 6 miles west,
So, distance of mikayla from company,
By using Pythagoras theorem
Distance = √(4)^2 + (6)^2 = √52 miles
As distance is greater than radius, pizzeria will not deliver to mikayla.
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Which equation does not depict a linear relationship?
a. f(x) = 3x + 1
b. g(x) = -3x + 1
c. 4x + 4y = 0
d. y = 3x² +1
e. All the answers above are linear relationships.
Answers
Answer:
d doesnot depict a linear relationship as y= mx+c to have linear equation
Answer:
d is not tha answer as it is quadratic equation
Sketch a graph showing the solution to each system.If you can't do both then do Question C.
Answers
(C)
Given data:
The given inequalities.
The graph of the given inequalities is shown below.
true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answers
Answer: the answer to this is true
12 12 (a) The nth term of a sequence is ² Work out the value of the 15th term. Answer 10
Answers
Abel bought a mini hi-fi set for S600.
He sold it to Bob at a loss of 20%.
Bob sold it to Charles and made a profit of 5%. How much did Charles pay for it?
Answers
Answer:
$504
$600* .8 = $480
$480 * 1.05 = $504
Step-by-step explanation:
Answer:
Step-by-step explanation:
Abel:
Cost price = $ 600
Loss = 20%
Selling price = \(\frac{100-loss}{100}*Cost \ price\)
\(= \frac{(100-20)}{100}*600\\\\=\frac{80}{100}*600\)
= 80 * 6 = $ 480
Cost price for Bob = Selling price of Abel = $ 480
Bob's cost Price = $480
Selling price = \(\frac{100+Profit}{100}*CP\\\\\)
\(= \frac{100+5}{100}*480\\=\frac{105}{100}*480\)
= $ 504
Amount paid by Charles =$ 504