Determine the length of the chord that is 8 inches from the center of a circle with a radius of 17 inches?
Answers
Answer:
30 in
Step-by-step explanation:
See attached image.
The length of AB is 17 (radius). The length of AC is 8 (given info).
AC splits segment BD in half, so point C is the midpoint of segment BD.
AC is perpendicular to the chord, so triangle ABC is a right triangle. You now have a right triangle with a leg of length 8 and hypotenuse of lenght 17.
The Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.
[tex]8^2+(BC)^2=17^2\\\\64+(BC)^2=289\\\\(BC)^2=225\\\\BC=\sqrt{225}=15[/tex]
That's half the length of the chord, so double that to get 30 inches for the full length of the chord BD.
Related Questions
Select all that apply.
Which of the following are equivalent?
4%
40%
0.4
Answers
Answer:
0.4 is equivalent to 40%
Step-by-step explanation:
If you read it out loud, 0.4 is pronouced as "4 tenths"0.40--> 40?the ones that are equivalent are 40% and 0.4, since 40% converted into a decimal is 0.4. 4% isn't equivalent to any of the options because it would be 0.04 as a decimal.
For trans thanks for helping me your the best
Answers
Answer:
x = 58.5 m
Step-by-step explanation:
Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:
[tex] \frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) } [/tex]
Solving for x,
[tex]x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m[/tex]
Help! Will mark brainiest sorry its pretty blurry
Answers
Answer:
As temp. increases, sales increse
Step-by-step explanation:
In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have basketball shoes
No basketball shoes
Total
Have running shoes
0.23
0.14
No running shoes
0.31
0.32
What percentage of the people surveyed have basketball shoes?
A. 37%
B. 54%
C. 46%
D. 63%
Answers
Answer:
b. 54%
Step-by-step explanation:
Just took the test
The percentage of people wearing basket ball shoe is,
= 32%
What is Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
here, we have,
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
In a shoe store survey there are 200 customers.
Given in the table is that, people using basketball shoes, not using basket shoes and then there is also classification of people using running or non running shoes.
We have been asked what percentage of people have basketball shoes.
People having basket ball shoes = 0.18 × 200 + 0.28 ×200
= 64
Thus, The percentage of people wearing basket ball shoe is,
= 64/200 x 100
= 32 %
Hence, The percentage of people wearing basket ball shoe is,
= 32%
Learn more about the percent visit:
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The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high?
Answers
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
How do you solve 3.16 divided by 0.04?
Sorry i couldn't use the divison sign because i'm using a computer.
Answers
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
helppppppppppppppppppp pls
Answers
Answer:
1820
Step-by-step explanation:
Surface area= 2[tex]\pi[/tex][tex]r^{2}[/tex] + 2
2[tex]\pi[/tex] [tex](10)^{2}[/tex] + 2
628 + 1193.2
= 1821.2
What is the perimeter of quadrilateral of MNPQ?
Answers
Answer:
The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.
Step-by-step explanation:
Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm. 2. The perimeter of the quadrilateral is 50 cm and the lengths of three sides are 9 cm, 13 cm and 17 cm
HELP!
Find the area of triangleABC to the nearest tenth.
Answers
Answer:
62.3 units²
Step-by-step explanation:
We would apply the formula for area of a triangle given an included angle, which is A = ½*ab*sin C
Where,
a = 11
b = 14
C = 54°
Substitute
Area = ½*11*14*sin 54
Area = 62.2943085 ≈ 62.3 units² (nearest tenth)
A box has 3 pencils, 5 pens, and 4 markers. What is the probability of randomly pulling out a marker, then after putting it back your friend
grabbing something that is not a pencil?
Answers
Answer:
1/4 chance of pulling a pencil then 3/4 for ur frend
Answer:
If I remember correctly, possibility is favorable outcome / total possible outcomes.
Step-by-step explanation:
So this means:
Favorable outcomes: 3 (Pencils)
Total possible outcomes: 12 (3 + 5 + 4)
3 / 12 = 0.25
Hope it helps!
8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.
Answers
Answer:
[tex]\displaystyle d = 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -3)
Point (2, 1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 5[/tex]After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.
12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answers
Answer:
The answer is A, 1/729
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE HELP ME FIGURE OUT WHICH ONE I GOT WRONG, TYSMM :)
Answers
Answer:
da one in the middle and i do relize this is a test becuse i just took it.
Step-by-step explanation:
A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The equation h(t)=
–
4.9t2+9t+11 models the height of the bowling pin in meters after t seconds.
About how many seconds does it take for the bowling pin to hit the ground?
Round your answer to the nearest tenth of a second.
Answers
Answer:
2.7
Step-by-step explanation:
yes i'm correct
A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The time taken by the object to hit the ground is 2.7 seconds.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
It is given that,
Initial velocity of an object, u = 9 m/s
Height, h = 11 m
The equation that models the height of the object in meters after t seconds is :
[tex]h(t)= -4.9t^2+9t+11[/tex]
We have to find the time it take for the bowling pin to hit the ground
i.e. [tex]-4.9t^2+9t+11=0[/tex]
On solving the above quadratic equation, we get the value of time t is :
t = 2.7 seconds
Hence, The time it takes to hit the ground would be 2.7 seconds.
Learn more about quadratic equations here:
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Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )
area: 221.5584 square units
area: 78.5 square units
area: 452.16 square units
area: 36.2984 square units
area: 314 square units
area: 886.2336 square units
radius: 12 units
diameter: 16.8 units
radius: 3.4 units
diameter: 10 units
Please use the exact numbers. >w
Answers
Answer:
Radius: 12 units
Area: πr² = 3.14*12² = 452.16 square unitsDiameter: 16.8 units
Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square unitsRadius: 3.4 units
Area: πr² = 3.14*3.4² = 452.16 square unitsDiameter: 10 units
Area: πd²/4 = 3.14*10²/4 = 78.5 square unitsAnswer:
Radius 12-->452.16
Diameter 16.8-->221.5584
Radius 3.4-->36.2984
Diameter 10-->78.5
Step-by-step explanation:
r. 2 times what number equals 10? )
Answers
Answer:
5
Step-by-step explanation:
Let the number be x.
2 × x = 10
2x = 10
x = 10 / 2
x = 5
Therefore, the number is 5.
Answer:
5 because it's obvious jwjjejeejjejejdjdnejdudu
URGENT HELP-
Convert an area of 6m^2 into CM^2
Answers
Answer:
Step-by-step explanation:
In cm 2= 60000
************ This is to help others on their project
Part 1: Determine the limits of a function given a graph.
Determine the limits and outputs of the plotted function.
Answers
Answer:
This is correct. Thank you!!
Step-by-step explanation:
Answer:
she is right and I added few pages that are hard to read here
Step-by-step explanation:
bye good luck :)
Simplify sec^2x-tan x-3
Answers
[tex]\huge\longmapsto\mathfrak{Answer}[/tex]
=》
[tex] \sec {}^{2} (x) - tan(x) - 3[/tex]
=》
[tex] \tan {}^{2} (x) + 1 - \tan(x) - 3[/tex]
=》
[tex] \tan {}^{2} (x) - \tan(x) - 2[/tex]
=》
[tex] \tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2[/tex]
=》
[tex] \tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2) [/tex]
=》
[tex]( \tan(x) + 1)( \tan(x) - 2)[/tex]
so,
case - 1
=》
[tex] \tan(x) = - 1[/tex]
case - 2
[tex] \tan(x) = 2[/tex]
Amal designed a silver necklace pendant in the shape of a cone. The slant height of the cone is 5 millimeters, and the radius of the cone is 3 millimeters.
What is the volume of the silver pendant, rounded to the nearest tenth?
Use 3.14 for π.
Answers
Answer:
37.7 mm³
Step-by-step explanation:
Step 1
We find the height of the cone
we are given slant height = 5mm and radius = 3mm
Height = √l² - r²
Where l = Slant height
Hence
h = √5² - 3²
h = √25 - 9
h = √16
h = 4
Hence, the height of the cone = 4mm
Step 2
We can proceed to calculate the volume of the cone
Volume = 1/3 πr²h
π = 3.14
Hence,
Volume = 1/3 × 3.14 × 3² × 4
= 37.68 mm³
Approximately, Volume of the cone to the nearest tenth = 37.7 mm³
Answer:37.7
mm3
Step-by-step explanation:
Can someone help please?????
Answers
A customer has $10 to insert into a jukebox that plays songs for
$1 each. When a represents whole numbers less than 10, the
function f (x) = 10 - a represents the amount of money remaining
after a songs are played on the jukebox.
What is the value of f (7), in dollars and cents?
$
Answers
James had a rectangular box of popcorn. The height of the box was 6 inches and the base had an area of 9 square inches. When some of the popcorn was eaten, James noticed the popcorn was only 1/2 the height of the box. What is the volume of the popcorn when the box is 1/2 full?
Answers
Answer:
it has 3/4
Step-by-step explanation:
PLEASE HELP
x = ___ units
Answers
Answer:
x = 16 units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
evaluate 9 m+7 n if m=-7 and n=4
Answers
Answer:
the answer is -35
Step-by-step explanation:
9x-7 =-63, 7x4=28. -63+28=-35
A teacher listed 28,30,32 and 36 as ages of the students in his class with frequencies 8,10,5 and 7 Respect Respectively....... A:how many students were in the class ? B: what was the average age of the class? C: what was the range for the students? D:what was the modal age?
Answers
gawd daym that's a lot of students
Answer:
A: There are 30 students in the class.
B: The average age of the class is 31.5.
C: The range goes from age 28 to age 36.
D: The modal age is 30.
Step-by-step explanation:
A: 8+10+5+7 = 30.
B: 8 + 30 + 32 + 36 = 126
126/4 = 31.5
C: Lowest age is 28 and highest is 36, making that the range for students' ages.
D: The most frequently appearing age in the study is 30, which makes 30 the modal age.
Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan charges $0.06 for each minute used. If Ethan has $90.00 to spend on his first month bill, what is the maximum Number of minutes he can use?
Answers
Answer:
he had $90
he bought a phone for $75
90-75=15
he has $15 now
15÷0.06=1500÷6=250 minutes
Has anyone done IXL N.2 7th grade, can you help me!!!
Answers
= 41/2 × 3/4
Then, put the fractions formula for multiplication into play... (numerators on top, denominators on bottom)
41 × 3
= ————
2 × 4
This would equal 123/8.
Now, we aren’t done yet. To get our final answer, we would to simplify 123/8 to the point where it can’t be any more simple. (For example, if we had 2/2, we would have to simplify that because 2/2 = 1. We wouldn’t be able to simplify the 1 any more than that, making 1 the final answer.) I’ll just do the math for you here. 123/8 simplified completely is 15 3/8.
( 123/8 = 15 3/8.)
I kind of went into detail just in case you were having trouble with these kinds of problems, which I hope isn’t too much of a problem!! Have a good day and I hope this helps :)
Consider the two triangles shown below Are these triangles congruent
Answers
Answer:
FALSE
Step-by-step explanation:
SINCE CONGRUENT TRIANGLES ARE SAS OR SSS OR ASA SO TESE TRIANGLES ARE ISOCLES TRIANGLES DUE TO THE MEASUREMENTS
What is the slope of the line?
y+2 = -2(2-3)
Choose 1 answer:
А
w
1
2
B
1
1
с
- 2
D
-1