Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
x^2 – 6x + 7 = 0
Answer:x=3±√2
Decimal Form:
x=4.41421356
Step-by-step explanation:
:D
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
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PLEASE HELP:
Rosa has a goal of running a total of 100 miles this month. Each day that she ran, she ran 5 miles. Which expression could Rosa use to determine how many miles she has left to run after running for “d” days?
A. 100 - 5d
B. 5d + 100
C.1005d
D. 5d
Answer:
It would b A
Step-by-step explanation:
I need help with this question
Answer:
2n=12
Step-by-step explanation:
The next step would be to subtract four from each side getting 2n=12 or B
Given tan θ = 7/24, and θ terminates in Quadrant III, determine the value of cos θ.
Answer:
-24/25
Step-by-step explanation:
Because it is in quadrant 3, cosine is negative. Hypotenuse=25, Adj=-24, Opp, -7. Cos=Adj/Hyp. -24/25
It is Given that tan θ = 7/24, and θ terminates in Quadrant III, Thus the value of cos θ is -24/25.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given tan θ = 7/24, and θ terminates in Quadrant III,
we want to determine the value of cos θ.
Because it is in quadrant 3, cosine is negative.
Hypotenuse = 25, Adjcent = -24, Opposite = -7.
Cos θ = Adjcent /Hypotenuse .
= -24/25
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A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answer:
Step-by-step explanation:
-24 + 12d = 2(d-3) + 22
FREE BRAINLEST.
The ______ number in an ordered pair is the y-coordinate and corresponds to a number of the ______.
Answer:
The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.
Step-by-step explanation:
hope this helps you! :)
The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
What is Coordinate System?a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
An ordered pair contains the coordinates of one point in the coordinate system.
A point is named by its ordered pair of the form of (x, y).
In an order pair the first number represents the x coordinate and the second number represents the y coordinate.
To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
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A gaming PC valued at $2500 depreciates at a rate of 12.5% per year.
Write a function that models the value of the computer over time.
Find the value of the PC after 3 year.
Answer:
v=2500-312.5x, after 3 years its worth 1562.5$
Step-by-step explanation:
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Step-by-step explanation:
Answer:
Do you need help with something or is this fr33 points?
this is a tricky one
find the value of x in this equation??
4/6x−1=9−1/6x
(the numbers with the / is a fraction btw)
True Or False? When the group gets to Camamzotz, Mrs. Whatsit says the 3 ladies will stay with them the whole time.
Answer:
false
Step-by-step explanation:
Help need answer rn.
Answer:
The 3rd one
Step-by-step explanation:
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
I need an answer! NO LINKS PLS! il give brainlist
Answer:
D. The company's chocolate bars weigh 3.2 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.
The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.
Thus Option D is correct.
D. The company's chocolate bars weigh 3.2 ounces on average.
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0
Answer:
x=3/2 or x=6
Step-by-step explanation:
2x2−15x+18=0
Step 1: Factor left side of equation.
2x^2-12x-3x+18=0
taking common factors
2x(x-6)-3(x-6)=0
(2x−3)(x−6)=0
Step 2: Set factors equal to 0.
2x−3=0 or x−6=0
x=3/2 or x=6
What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5
Answer (assuming that the equation can be written in point-slope form):
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Can someone help me please
Answer:
Ummm ion even know I'm still in elementary/ 5 th
Whats the slope using Rise/Run?
Thanks
Answer: 1/4
Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4
Hope this helps!
On considère l'énoncé suivant :150 garçons et 250 filles sont inscrits au conservatoire. 20 % des garçons et 30 % des filles sont pianistes.
Question complète:
150 garçons et 250 filles sont inscrits au conservatoire. 20% des garçons et 30% des filles sont pianistes. Calculer le pourcentage de pianistes au conservatoire
Répondre:
26,25%
Explication étape par étape:
Nombre de garçons = 150
Nombre de filles = 250
Pianiste masculin = 20% des garçons
Pianiste masculin = 0,2 * 150 = 30 garçons
Pianiste féminine: = 30% des filles
Pianiste féminine = 0,3 * 250 = 75 filles
Nombre total de pianistes:
(30 + 75) = 105 pianiste
Population du conservatoire = (150 + 250) = 400
Pourcentage de pianiste:
105/400 * 100%
0,2625 * 100%
26,25%
If f(x) is an exponential function where f(1) =11 and f(6.5) = 100, then find the value of f(12) to the nearest hundredth.
Answer: f(12) is estimated to 909.09
Step-by-step explanation:
what polynomial is −6+x^4−x^2??? is it cubic, linear, quartic, quadratic, or quintic??
Answer:
To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
Step-by-step explanation:
whats the scale factor from shape a to shape b
Answer:
scale factor = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]
Then
[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3x = 75 ( divide both sides by 3 )
x = 25
and
[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5y = 54 ( divide both sides by 5 )
y = 10.8
PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link just pls help.
Answer:
(3,5)
Step-by-step explanation:
x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis
I hope it helped
Pat bounces a basketball 25 times in 30 seconds.At that rate, approximately how many times a will Pat bounce the ball in 150 seconds?
A. 120
B.125
C.144
D.145
Answer:
b........... ........
Answer:
B.125
Step-by-step explanation:
25:30->?:150
150/30=5
25:30x5=125:150
someone help plssssss
Answer:
a is 9
b is 77
Step-by-step explanation:
Give me brainllest
On Saturday, a local hamburger shop sold a combined total of 540 hamburgers and cheeseburgers. The number of
cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
hamburgers
Answer: 135 hamburgers
540 divided by 4 (ratio of hamburgers to cheeseburgers is 3 to 1) = 135. 135 burgers and (135 times 3) 405 cheeseburgers = 540.
Step-by-step explanation: Hope this helps! :)
Answer: 180 hamburgers were sold on Saturday
Step-by-step explanation:
I’m pretty sure this is the answer
A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet. What is the price for one square yard of carpet?
Answer:one yard costs $15 (x=15)
Step-by-step explanation:
300-60=240. So, 16 yards=$240
16x=240
240/16=15
X=15 (one yard costs $15)
The price for one square yard of carpet is $15.
Given that,
A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet.Based on the above information, the calculation is as follows:
[tex]= (\$300 - \$60) \div 16[/tex]
= $15
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Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?
Answer:
[tex]24 = x[/tex]
Step-by-step explanation:
Write a proportion. Remeber that same units corresponds with each other.
[tex] \frac{8}{3} = \frac{x}{9} [/tex]
Cross multiply
[tex]72 = 3x[/tex]
[tex]24 = x[/tex]
HELP NEEDED!!! 20 POINTS FOR A ANSWER AND EXPLANATION ON QUESTION #2! I cant figure this out help me please
Step-by-step explanation:
Start at the orgin.
The y intercept in the equation is -1 so I would shift 1 unit down to the orgin at (0,-1)
Then at the point, since the slope is -4. I would go down -4 units then go over 1 unit to the right.. So the next point would be (1,-5) then so on and so on.
You can check if your graph is correct by writing out specific points on the linear equation and making sure there slope is equal to -4.