45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator
Answers
Answer:
[tex]x = \sqrt{\frac{7}{2} }[/tex]
Step-by-step explanation:
Explanation
From given graph
AC = √7
Given angle ∝ = 45°
[tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]
[tex]cos45 = \frac{x}{\sqrt{7} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]
[tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]
[tex]x = \sqrt{\frac{7}{2} }[/tex]
x = 1.8708
Related Questions
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?
Answers
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
The different outfits that Alphonsus can put together with his new clothes will be 12.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.
Assume that the different outfits that Alphonsus can put together with his new clothes be [x].
[x] = 4 x 3 = 12
[x] = 12
Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.
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A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answers
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Simplify.
91-^ + 6-^
Answers
Consider the system of liner equations 2y=X+10
3y=3x+15
Answers
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
Answers
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
one third of a number, w, reduced by 7?
Answers
Answer:
4
Step-by-step explanation:
What’s the anwser for this. I’m so confused
Answers
Answer:
Its A
Step-by-step explanation:
A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be?
Answers
Answer:
50 meters
Step-by-step explanation:
the island is 50 meters away
Answer:
About 54 meters or 53.8 meters
Step-by-step explanation:
Pythagorean theorem a^2+b^2=c^2
20^2+50^2=53.8^2
What is the domain of the function y=x-1?
0-1
O 0
O 1
Answers
Answer:
Option 1: negative infinity to infinity
Step-by-step explanation:
negative infinity to infinity
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answers
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
how earth and venus the same?
Answers
Answer:
Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.
Step-by-step explanation:
kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.
4r + 17 = 23. here is a diagram and its corresponding equation. find the solution to the equation and explain your reasoning.
Answers
Answer:
r=1.5
Step-by-step explanation:
4r+17=23 *Subtract 17 from each side
4r=6 *Divide both sides by 4
r=1.5
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 3, 5
Answers
Step-by-step explanation:
use the pythagorean theorem to find the length of the leg in the triangle below
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answers
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°What is the least number n with the property that, in every group of n people, there are at least three people who are all friends
Answers
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.
Answers
The description of what each ordered pair means is; as described below
How to interpret Ordered Pairs?The table is missing but from online sources, we can say the following;
An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.
An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.
Thus, the Ordered Pair is (x,y)
Where,
x is the distance measure of a point from the primary axis "x"
y is the distance measure of a point from the secondary axis "y"
In the Cartesian plane, the point where the two lines meet at “0” is the origin.
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This cylinder has a volume of 121 cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
Answers
Answer:
Volume 6082.12338 cm3
Step-by-step explanation:
What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Answers
Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
Jeremy swims 10 laps in 15 minutes. How many laps is that per minute?
Answers
The number of laps per minute is given by equation A = 2/3 laps per minute
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of laps per minute be represented as A
Now , the value of A is
The total number of laps = 10 laps
The total time for 10 laps = 15 minutes
So , the number of laps per minute = number of laps / total time for 10 laps
On simplifying the equation , we get
The number of laps per minute A = 10 / 15
The number of laps per minute A = 2/3 laps per minute
Hence , the number of laps per minute is ( 2/3 ) laps
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An ecological group suspects lobsters are consuming dangerous levels of mercury in a region of the world. Dangerous levels of mercury are classified when they reach beyond 6.5 parts per million. A random sample of 25 lobsters in the region were tested and the data is shown in the stemplot.
Stemplot for Mercury Levels.
2|2 4;
2|;
3|1 4;
3|5 8;
4|0 2;
4|5 6;
5|0 1 3 3 4;
5|6 8 9;
6|3 4;
6|6 7 8;
7|1 2;
7|
Key: 2|2 = 2.2 parts per million
Part A: What proportion of the lobsters in the sample have dangerous levels of mercury in their systems? (4 points)
Part B: Construct and interpret a 95% confidence interval for the mean mercury levels of the lobsters if the sample of 25 lobsters has a mean mercury level of 5.05 parts per million and standard deviation of 1.45 parts per million. (6 points)
Answers
Part A: 5 out 25 lobsters have dangerous levels of mercury
Part B: the 95% confidence interval is given by (4.45, 5.65)
since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064
Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)
For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65
Karen is playing a board game in which she rolls a fair six-sided number cube repeatedly until she rolls a six. Once she rolls a six, she can advance her piece on the board. What is the probability that the first six Karen rolls is on her fifth roll?a. 1/6.b. 5/6.c. (1/6)2.d. (5/6)4(1/6).e. (5/1)(5/6)4(1/6).
Answers
Answer:
i say b.
Step-by-step explanation:
Answer:
I say d
Step-by-step explanation:
It seems most correct, 4 fails and one correct, the fifth try
Pedro uses shapes to make a funny animal. Which best tells about the
shapes in Pedro's animal?
Answers
Answer:
The sides of all the shapes are straight
Step-by-step explanation:
Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.
All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 17 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=3+177-1612
Find all values of t for which the ball's height is 7 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 = || seconds
DO
X
?
initial
height
ground
Answers
Answer:
what you should be asking is what the color of the balls are and if their juicy
Help please I really need it
Answers
Answer:
angle 1 and angle 3
Yesterday 170 guests at a hotel for room service, and 255 guests did not call for room service. What percentage of the guests at the hotel call for room service?
A - 60%
B - 15%
C - 40%
D - 85%
Answers
Answer: 40%
Step-by-step explanation:
170+255=425 total guests
170/425=0.4
Can someone please help me write an equation for this graph? This is a different one.
Answers
Answer:
The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:
[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]
According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:
[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]
...............??..?.?.?.?.?.??..??...??..?.??...??..?.?.? a
Answers
Answer:
Step-by-step explanation:
2+2=4
I don’t know either I’m currently looking for the answer
Answers
Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?
Answers
Answer:
104 gallons
Step-by-step explanation:
320/31=10.323 miles per gallon
1070/10.323=103.66 <---round to whole number
104 gallons needed
What's 6x5 need help plaz
Answers
Answer:
30
Step-by-step explanation:
It is easier if you do 5 six times for example
5, 10, 15, 20, 25, 30
Hope this helps ;)