What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 18
B. 13.2
C. 12.5
D. 7
Answers
First
[tex]\\ \sf\longmapsto BD^2=AD\times DC[/tex]
[tex]\\ \sf\longmapsto BD^2=18^2+7^2[/tex]
[tex]\\ \sf\longmapsto BD^2=324+49[/tex]
[tex]\\ \sf\longmapsto BD^2=363[/tex]
[tex]\\ \sf\longmapsto BD=\sqrt{363}[/tex]
[tex]\\ \sf\longmapsto BD=19.2[/tex]
Now
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BD^2+CD^2=m^2[/tex]
[tex]\\ \sf\longmapsto m^2=7^2+19.2^2[/tex]
[tex]\\ \sf\longmapsto m^2=49+363[/tex]
[tex]\\ \sf\longmapsto m^2=412[/tex]
[tex]\\ \sf\longmapsto m=\sqrt{412}[/tex]
[tex]\\ \sf\longmapsto m=20.3[/tex]
Nearest value in options is 18
Hence option a is correct
Related Questions
Which two-dimensional shape is formed if a plane intersects the cylinder shown,
perpendicular to the base?
A) Circle
B) Square
C) Rectangle
D) Ellipse
Answers
9514 1404 393Answer:
C) Rectangle
Step-by-step explanation:
In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.
Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.
What is 2/6 times 1/6
Answers
Answer:
1/9
Step-by-step explanation:
2/6*1/6=2*1/6*6 or 1/9.
Answer:
1/18
Step-by-step explanation:
1. multiply across
2*1 and 6*6
2/36
2. divide by 2 to simplify
2/2 and 36/2
1/18
You deposit $600 in an account earning 8% interest compounded annually. How much will you have in the account in 10 years?
Thank you, thank you! C:
Answers
9514 1404 393
Answer:
$1295.35
Step-by-step explanation:
The compound interest formula can be used to find the account balance.
A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years
A = $600(1 +0.08)^10 ≈ $1295.35
You will have $1295.35 in the account in 10 years.
Cho X là đại lượng ngẫu nhiên có hàm mật độ dạng
fx=k(x-1)(4-x) nếu x∈0;4.
Tìm k, F, EX, P0
Answers
Anyone know how to do this?
Answers
Answer:
C
Step-by-step explanation:
The graph on the left is a closed circle at x=2, and the graph is only extending to lower values so it will only apply when x ≤ 2
The only piecewise functions that include x ≤ 2 are A and C
But the y intercept of the graph is at 2, so C is the only answer
log, (x + y)=log, y, log, x .
Solve for question D only
Answers
Answer:
4.
Step-by-step explanation:
Change of base formula is
logb x = loga x / loga b
So logx 25 = log5 25 /log5 x
Now log5 25 = log5 5^2 = 2, so:
logx 25 = 2 / log5 x
So log5 x^2 * logx 25
= log5 x^2 * 2 /log5 x
= 2 log5 x * 2 / log5 x
= 4.
I need help with this balance mobile please:)
Answers
Answer:
blue 1
orange 5
green 3
I hope it is helpful and mark me as brainlest and follow me plz
5. Determine the number of square units in the area of the trapezoid whose bases are 3-X units and 10+X units and whose height is 6 units.
Answers
Answer:
39 units
Step-by-step explanation:
The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.
We have,
a=3-x
b=10+x
h=6
Now,
Area=1/2h(a+b)
=1/2*6(3-x+10+x)=3(13)=39 units
why infinity ( ) can’t be included in an inequality?
Answers
Answer:
Step-by-step explanation:
Because then the value on the other side will be unbounded by the infinity sign while expressing the answers on a number line.
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What is one thousand minus on hundred and ten
Answers
Answer:
The answer is 890 . ...... :D
Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?
1/25
1/20
1/10
1/5
WARNING! PEOPLE HAVE BEEN PUTTING THE FOLLOWING WRONG ANSWERS:
1/10 AND 1/5 --> THESE TWO ARE WRONG.
I THINK IT IS 1/20. CAN SOMEONE CONFIRM?
Answers
Answer:
1/25
Step-by-step explanation:
There are five students. They all have a 1/5 chance. You have to include the chance of all five students, so each student has a 1/25 chance.
please help asap
Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop
Answers
Answer:
multiplication prop of equality, (multiplying both sides by 6)
simplifying, (not distrib prop as there is no parentheses)
Addition prop of equality, (adding 18 to each side)
simplifying
Give the digits in the tens place and the tenths place.
97.42
Answers
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
What is the solution to 4x + 2 = 6(-2x - 5) ?
Group of answer choices
16
2
-16
-2
Answers
Answer:
x= -2
Step-by-step explanation:
4x + 2 = 6(-2x - 5)
Distribute
4x+2 = -12x-30
Add 12x to each side
4x+2+12x = -12x-30+12x
16x+2 = -30
Subtract 2 from each side
16x+2-2=-30-2
16x = -32
Divide by 16
16x/16x = -32/16
x = -2
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞
Answers
Answer:
b and dStep-by-step explanation:
Find zero's:
x = -7x = -3/2x = -5The intervals:
x < -7, all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positiveAs we see correct choices are b and d
One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than
the first to go 372 miles. What are the speeds of the cars?
The speed of the cars are
miles per hour.
Answers
Explanation:
390:x=372:(x-3)
372x=390(x-3)
372x=390x-1170
1170=390x-372x
1170/18=18x/18
x=65
x-3= 65-3=62
is f(x)=e^-3x an exponential function?
Answers
Certain clouds form when temperatures fall below – 72°C. What is this temperature in degrees Fahrenheit
Answers
Answer:
-97.6°F
Step-by-step explanation:
The formula to convert the temperature is 9/5d + 32. Substitite -72 for d and solve!
9/5(-72) + 32
-129.6 + 32
-97.6
Best of Luck!
Answer:
-97.6
Step-by-step explanation:
simplify by using the distributive property and then combine like terms:
4 (3x – 9)
ANSWER PLS
Answers
Answer:
12x - 36
Step-by-step explanation:
4 (3x – 9)
Distribute
4 *3x - 4*9
12x - 36
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{4(3x - 9)}[/tex]
[tex]\huge\text{= 4(3x) + 4(-9)}[/tex]
[tex]\huge\text{= 12x - 36}[/tex]
[tex]\huge\boxed{\textsf{Answer: 12x - 36}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment \& enjoy your assignment!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The tree diagram represents an experiment consisting of two trials. P(c)=
Answers
Answer:
0.8
Step-by-step explanation:
To get to C, you must start by taking the lower of the first two branches
That has a probability of 0.4
C is the branch on your right and has a probability of 0.2
P(C) = 0.4 * 0.2 = 0.8
Answer:
.26
Step-by-step explanation:
Evaluate (657.3÷10)-(94.5÷5)
Answers
Answer:
Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83
I hope I helped you^_^
Simplify 1-31 +6+ (4 - 1). 8.
1.) 8
2.) 13
3.) 19
4.) 24
Answers
Step-by-step explanation:
By rule of bodmas rule
= 1 - 31 + 6 + 3 × 8
= 1 - 31 + 6 + 24
= 1 - 31 + 5 + 24
= - 30 + 5 + 24
= - 25 + 24
= -1
Now without using bodmas rule
= 1 - 31 + 6 + (4 - 1). 8.
=-30+6+4+(4-1)×8
=-23+4+(4-1)×8
=-19+4+(4-1)×8
=-15+(4-1)×8
=-15+3×8
=-15+24
=-9
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find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answers
Answer:
Cos C = a/h
= 21/35
Step-by-step explanation:
since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Which graph represents this wage increase for x < 12?
Answers
Answer:
bhlhgewafhjffdgnhgreesdbjitbbbbhbfghjkkbiiuuhhhwrite each equation explicitly in terms of x. then indicate whether the equation is a function. y^2-x^2+1=50
Answers
Step-by-step explanation:
y² - x² + 1 = 50
y² = x² - 1 + 50 = x² + 49
y = ±sqrt(x² + 49)
this is not a function in that sense, as for every x there are not one but 2 y (result) values.
Find the missing side lengths.
Answers
Answer:
x is 18, and y is 9 √ 3
Step-by-step explanation:
Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.
The relationship is listed below:
The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3
So x is 18, and y is 9√3
When 8 is added to a certain number and the sum is multiplied by 3, the result is 57. Find the number.
Answers
Answer:
The number is 11.
Step-by-step explanation:
[tex]3(8+x)=57\\24+3x=57\\3x=33\\x=11[/tex]
Select the table representing a linear function. (Graph them if necessary.)
O A. x 0
7
2 3
y 1 2 56
B. х 0
7
3
2
0
y -2 -1
-1
O c. xo
1
N
3
y 10 12 14 16
-OD. x 0 1 2 3
y 5 3 1 2
Answers
Answer:
Option C
Step-by-step explanation:
the linear equation y = 2x+10 matches with option c
In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win the set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
a. s ≤ 6g
b. s ≥ 6g
c. 6s ≤ g
d. 6s ≥ g
Answers
Answer:
A: s ≤ 6g
Step-by-step explanation:
Had this on a test that I scored 100 on.
The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.
What are inequalities?An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.
From the given information, we have the following claim that:
A player must win 6 games in order to win a set. But winning those 6 games doesn't guarantee winning the set.So, we are given certain condition attached that;
If "g" = number of games won, and "s" = number if set won.Then, the inequality that is true for this condition is 6s ≤ g.
It implies that, the player truly won the six games but it doesn't guarantee him winning the set.
Learn more about inequalities here:
https://brainly.com/question/24372553
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Answers
Answer:
4 = 6
5 = -17
Step-by-step explanation:
4. a² - b / b² - c
a² = 2² = 4
b = -2
4 - (-2) = 4 + 2 = 6
6 / b² - c = 6/4 - 3 = 6/1 = 6
4 = 6
5. -3x² + 2xy + 7
-3x² = -3 * -2² = -3 * 4 = -12
2xy = 2 * -2 * 3 = -4 * 3 = -12
-12 + -12 + 7 = -24 + 7 = -17
5 = -17
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