Find the value of x. Round to the nearest tenth. 1.4ft 2.1 ft 2x x = [ ? ]ft
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Answers
Perpendicular projected from center of a circle to its chord bisects it. The value of the x for this case is: x = 1.565 ft approximately.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or |AC| = |CB|
For this case, consider the diagram below.
The line OC divides AB in half.
Since it is given that:
Length of AB = |AB| = 2x ft,
therefore, we get:
|AC| + |CB| = 2x
|AC|+|AC| = 2x (as |AC|=|CB|)
therfore, we get: |AC| = x feet = |CB|
Now,as the triangle OBC contains a right angle, we can use Pythagoras theorem, and therefore, we get:
[tex]|OB|^2 = |OC|^2 + |CB|^2\\2.1^2 = 1.4^2 + x^2\\x^2 = 4.41 - 1.96\\x = \sqrt{2.45} \approx 1.565 \: \rm ft[/tex]
(took positive root as 'x' represents measurement of length, which is a non-negative quantity).
Thus, the value of the x for this case is: x = 1.565 ft approximately.
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Related Questions
Please help me figure these out, it would be greatly appreciated. TYSM !!
Answers
Answer:
1st one is A. 2nd is D. 3rd is A. 4th is C. and the 5th one is B
Step-by-step explanation:
Which statement(s) are true based on the pythagorean identities?
Answers
The Pythagorean identities are sin² θ + cos² θ = 1, 1 + tan² θ = sec² θ, and 1 + cot² θ = cosec² θ. Then the correct options are B, C, and E.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
We know that
[tex]\rm H^2 = P^2+B^2[/tex]
Divide the equation by H², then we have
[tex]\rm\dfrac{P^2}{H^2}+\dfrac{B^2}{H^2} = 1 \\\\\sin ^2 \theta + \cos ^2 \theta = 1[/tex]
Similarly, the equation is divided by P² and B², then we have
[tex]\rm 1 + \tan ^2 \theta = \sec ^2 \theta \\\\1 + \cot ^2 \theta = cosec ^2 \theta[/tex]
More about the right-angle triangle link is given below.
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The numbers of beans in some cocoa pods are 30 28 30 35 40 25 36 38 and 40. Calculate the mean number of beans per cocoa pods
Answers
= 30+28+30+35+40+25+36+38+40 /9
=33.55
A local Target store bought 90 pizzas at Pizza Hut for its holiday party. Each guest ate 1/6 of a pizza and there was no pizza left over. How many guests did Target have for the party?
Answers
By taking a quotient, we will see that the number of guests is 540.
How to find the number of guests?
Because we know that each guest ate a fixed amount of pizza, and there was no pizza left, we know that the number of guests will be equal to the quotient between the total number of pizzas bought, and the amount of pizza that each guest ate.
This is:
[tex]N = \frac{90}{1/6}[/tex]
We can rewrite that quotient as:
[tex]N = \frac{90}{1} / \frac{1}{6} = \frac{90*6}{1*1} = 540[/tex]
So the number of guests is 540.
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As smart phones have grown in popularity, regular cell phones have fallen out of favor. As a result, one electronics retailer estimates that 10.5% fewer regular cell phones will be sold every year. If the retailer sells 847,901 regular cell phones this year, how many will be sold 5 years from now?
Answers
Answer:
4,239,505
Step-by-step explanation:
847,901 x 5 = 4,239,505
Students in a class were surveyed about the number of children in their families. the results of the survey are shown in the table. a 2-column table has 5 rows. the first column is labeled number of children in family with entries 1, 2, 3, 4, 5 or more. the second column is labeled number of surveys with entries 9, 18, 22, 8, 3. two surveys are chosen at random from the group of surveys. after the first survey is chosen, it is returned to the stack and can be chosen a second time. what is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family? startfraction 1 over 50 endfraction startfraction 2 over 15 endfraction startfraction 3 over 20 endfraction startfraction 17 over 60 endfraction
Answers
The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
What is probability?The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.
This means that the probability of both together is the product of each event's probability.
The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.
The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.
Together this gives us;
[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]
Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
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Answer:
1/50
Step-by-step explanation:
A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. About how much paper is needed to make the cup
Answers
Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
What is the value of the expression below when y=4?
3y2 + y +8
Answers
Answer:
Step-by-step explanation:
=3(4)^2 + 4 + 8
=3(16) + 4 + 8
= 38 + 12
= 60
3(16) + 4 + 8
3 x 16 = 48
4 + 8 = 12
48 + 12 = 60
Sabina wants to decorate her square table with ribbon around the edge. If the length of one side of the table is 2 meters, how much ribbon does she need?
Answers
Answer:
8 meters of ribbon
Step-by-step explanation:
because a square has four sides so if you do 2×4 =8
Mrs. Burgess will go to the gym on 20 different days this month. A one day pass to the gym costs $9.65. A monthly pass to the gym costs $145. How much will Mrs. Burgess save by buying a monthly pass?
Answers
Answer:
Mrs. Burgess will save $48 by buying a monthly pass.
Step-by-step explanation:
Let's compare the one-day pass to the monthly pass by finding how much 20 one-day passes will cost.
Multiply the price for a one day pass, $9.65, to the gym by 20 days:
$9.65 * 20 = $193Compare this price to the monthly pass price by subtracting these values.
$193 - $145 = $48If Mrs. Burgess buys the monthly pass of $145 instead of buying 20 day passes for $193, she will save $48.
How do i solve this??
Answers
Answer:
$49.29 Give me brainliest please
Jacob bought one bulb of elephant garlic for $3. How many bulbs can Stephanie buy if she has $21
Answers
Answer: 7 bulbs
Step-by-step explanation: 21/3
What two factors have a sum of 23
Answers
Answer:
2 factors
Step-by-step explanation:
If 9x+4y=−3 is a true equation, what would be the value of 6(9x+4y)?
Answers
Answer:
-18
Step-by-step explanation:
9x + 4y = -3 (Given)
Multiply both sides of the equation by 6, we find:
6(9x + 4y) = 6(-3)
-> 6(9x + 4y) = -18
Answer:
-18
Step-by-step explanation:
Given
9x + 4y = -3We need to evaluate 6(9x + 4y).
Substitute the value of 9x + 4y in the expression.
6(9x + 4y)6(-3)-18you and your friend are selling tickets for the orchestra concert, On Thursday, you sold 15 tickets and your friend sold 10 tickets.
A. What percent of the tickets sold on Thursday did you sell?
B. On Friday, you sold 9 tickets and your friend sold 16 tickets. What percent of the tickets sold on Friday did you sell?
C. What percent of the total tickets sold on Thursday and Friday did you sell?
Answers
Answer:
....
Step-by-step explanation:
The total tickets sold is 10+15=25.
The percentage of tickets told by me will me 15/25=3/5 or 60%.
Similarly for the second one: total sold 9+16=25
my proportion 9/25=36%
7. A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed? 6 It 15 It
Answers
The circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
What is a cone and a circle?
A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 )
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Given the data in the question;
Volume of the cone ( silo ) V = 132ft³Height of the silo h = 6ftRadius r = ?We substitute our values into the expression above find the radius of the base of the silo.
V = (1/3)πr²h
132ft³ = (1/3) × 3.14 × r² × 6ft
132ft³ = 6.28ft × r²
r² = 132ft³ / 6.28ft
r² = 21.0191ft²
r = √21.0191ft²
r = 4.58ft
Now, since the radius of the base of the silo is 4.58ft, the circumference of the base will be;
C = 2πr
C = 2 × 3.14 × 4.58ft
C = 28.8ft
Therefore, the circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
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what is the length of the diagonal with a length of 19ft and width of 17ft
Answers
Simplify (b^9)^3
(I use ^ to symbolize to the power of)
Answers
hope it helps/ not too late
A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square centimeters. What is the length of the prism?
A. 24 cm
B. 12 cm
C. 9 cm
D. 6 cm
Answers
Answer:
Step-by-step explanation:
Let the length be L
Formula
SA = 2Lw + 2Lh + 2wh
Givens
h = 15 cm
w = 6 cm
L = ?
SA = 684 cm^2
Solution
Substitue what you know into the given formula
2*6*L + 2*15*L + 2 * 6 * 15 = 684 Combine
12*L + 30*L + 180 = 684 Combine again
42L + 180 = 684 Subtract 180 from both sides.
42L +180 -180 = 684 - 180
42L = 504 Divide by 42
Answer: L = 12
Anyone? Help me. please.
Answers
Answer:
Step-by-step explanation:
sine and cosecant : positive in Q1 and Q2
cosin and secant: positive in Q1 and Q4
tangent and cotangent: positive in Q1 and Q3.
Answer:
Quadrant I
Step-by-step explanation:
In the first quadrant all the 6 functions are positives.
Think instead of (x, y) any point has now the coordinate (cos α, sin α) so in quadrant I we have x, y positive therefore sin α and cos α are positive.
Tangent α is positive because is sinα/cosα = positive /positive = a positive
Cotangent α= 1/tan α = cosα / sinα = positive /positive = a positive
Secant α = 1/cos α = 1/ a positive number = a positive number
Cosecant α = 1/sin α = 1/ a positive number = a positive number
What’s The Answer Of This? Please Answer ASAP
Answers
Answer: 67 degrees
Step-by-step explanation:
Enter a range of values for x.
14
62
2x+10
15
20
Answers
Answer:
-5
Step-by-step explanation:
The range of values for x is {2, 26, 2.5, 5} in the given case where we have to enter values.
To provide a range of values for x based on the given information, we need to solve the equation 2x+10 = 14, 62, 15, and 20.
Let's solve the equation for each given value: 1. 2x+10 = 14:
Subtract 10 from both sides of the equation: 2x = 4
Divide both sides of the equation by 2: x = 2 2. 2x+10 = 62:
Subtract 10 from both sides of the equation: 2x = 52
Divide both sides of the equation by 2: x = 26 3. 2x+10 = 15:
Subtract 10 from both sides of the equation: 2x = 5
Divide both sides of the equation by 2: x = 2.5 4. 2x+10 = 20:
Subtract 10 from both sides of the equation: 2x = 10
Divide both sides of the equation by 2: x = 5
Therefore, the range of values for x is {2, 26, 2.5, 5}.
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Write an equation in point-slope form for the graph shown below?
Answers
Answer:
y-4=-2/5(x+5)
Step-by-step explanation:
Points slip form is y-y₁=m(x-x₁)
Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.
PLS HELP ME I WILL MARK THE BRAINLIEST
Answers
Given that the solids are similar, we have:
1. 5/3
2. 4/25
3. 512/13,824
What is the Volume and Surface Area of Similar Solids?If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:
Surface area for A/Surface area for B = a²/b².
Volume for A/Volume for B = a³/b³.
1. If the two pyramids are similar, therefore:
Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)
Ratio of the height of larger to the smaller pyramid = 5/3
2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)
= ∛(8/125) = 2/5
Ratio of their surface area = 2²/5²
Ratio of their surface area = 4/25.
3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³
= 512/13,824
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If andrew has 10 fish, and 4 of them drown, 3 swim away, and 1 dies of unknown reasons, how many fish does he have left?
Answers
Answer: Non
Step-by-step explanation:
If Andrew has 10 fish 4 dies he ends up with six. If 3 swim away he will have 1. If 1 does he would end up with non left.
Answer:5
Step-by-step explanation:
10 fish, 4 drown, so now 6 left,one dies, 5 left, and 3 swim away yet they are still his. They can't swim away in a fish tank.
hope it helped :D
 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answers
Answer:
14w
Step-by-step explanation:
Width = w
Length is 6 time its width. so, multiply w by 6
length = 6*w = 6w
Perimeter of rectangle = 2* (length + width)
= 2*(6w + w)
= 2*7w
= 14w
James is framing a rectangular print for art class and needs to know the perimeter. The length of the print is 24 inches and the width is 18 inches. What is the perimeter in inches of the print?
Answers
Answer:
84
Step-by-step explanation:
Given,
Length of the print(l) = 24 inches
Width of the print(b) = 18 inches
Perimeter of the print(P)= ?
We know,
Perimeter of the print(P) = 2(l + b)
= 2(24 + 18)
= 2(42)
=84 inches^2
In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
Answers
The equation h(t) = -16t² + 24t is an illustration of a quadratic model
The equation when the fielder catches the ball is -16t² + 24t = 3The fielder will catch the ball after 0.14 seconds or 1.36 secondsThe equation when the fielder catches the ballThe equation that represents the path of the kick ball is given as
h(t) = -16t² + 24t
The fielder catches the ball at a height of 3 ft above the ground.
This means that:
h(t) = 3
So, we have:
-16t² + 24t = 3
Hence, the equation when the fielder catches the ball is -16t² + 24t = 3
How long the ball has been in the air whenIn (a), we have:
-16t² + 24t = 3
Rewrite as:
-16t² + 24t - 3 = 0
Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology
From the graph (see attachment), we have the following solutions
t = 0.14 and t = 1.36
Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds
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y /3 − –7 = 10 solve for y
Answers
Answer:
9
Step-by-step explanation:
10+ -7
3
3 = 9/3
9
Lab tests of a new drug Indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in
the table using a representative simulation. The letter Estands for "effective," and N stands for "not effective."
EEEE NEEE EEEE EEEN NEEN
NEEE EENE NNNE NEEN EENE
NENE EEEE EEEE NNNE ENEE
NEEN ENEE EENN ENNE NEEE
ENEN EEEE EEEN NEEE EENN
EENE EEEN EEEE EENE EEEE
ENEE ENNN EENE EEEE EEEN
NEEE ENEE NEEE EEEE EEEE
NENN EENN NNNN EEEE EEEE
ENNN NENN NEEN ENEE EENE
would not be effective is
Answers
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
200
First we need to figure out how many tests they did :)
20 x 10 = 200
Now lets divide to see the percentage of how effective and not effective it is :)
Not effective: 31.5%
63/200 = 0.315 x 100 = 31.5
Effective: 68.5%
137/200 = 0.685 x 100 = 68.5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation: