Answer:
The correct answer is 10 and 11.
In right triangle ABC shown below, the midpoint of hypotenuse AC is located at D and segment BD is drawn.
AB = 12 and BC =16, then explain why BD=10. Hint: consider what you know about the diagonals of a
rectangle.
9514 1404 393
Answer:
diagonal AC is 20, so all half-diagonals are 10. BD is one such.
Step-by-step explanation:
The length of hypotenuse AC is given by the Pythagorean theorem:
AC² = AB² + BC²
AC² = 12² +16² = 400
AC = √400 = 20
The midpoint of AC is 10 units from A and from C.
Consider point E that finishes rectangle ABCE. Then diagonals BE and AC meet at their midpoints, D. The diagonals of a rectangle are the same length, so the four half-diagonals are congruent:
AD = CD = ED = BD = 10
_____
Alternate solution
The "rise" from BC to D is half of AB, so is 6.
The "run" from AB to D is half of BC, so is 8.
The Pythagorean theorem tells you BD = √(6² +8²) = 10.
Please help me i am taking a test and i really need help
Answer:
31.4159in
Step-by-step explanation:
Answer:
31.4
Step-by-step explanation:
Halla el MCM de 63 y 77
Respuesta:
693
Explicación:
Tenemos que dividir ambos dígitos hasta que lleguen a 1.
No importa si uno de los números no se puede dividir, pero se debe iniciar desde los números más bajos: 2, 3, 4, 5, 7...
Cómo no hay una mitad exacta, empezaremos con tercia y continuaremos dividiendo.
63 ; 77 | 3
21 ; 77 | 3
7 : 77 | 7
1 ; 11 | 11
1 ; 1
Ahora que llegamos hasta 1, el MCM es la multiplicación de los números por los que hemos dividido a los dígitos. Solo falta multiplicarlos.
3*3*7*11= 693
MCM = 693
Espero te ayude ;)
【Answer.】the lowest common multiple of 77 and 63 is 693.
[tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }[/tex]
To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{m.c.m.(63,77)=3\times3\times7\times11}[/tex]
[tex]\sf{m.c.m.(63,77)=3^{2} \times7\times11}[/tex]
[tex]\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}[/tex]
Can someone please write the equation for this?
Answer:
y = 2[tex]\sqrt{x}[/tex] - 3
Step-by-step explanation:
Does anyone know this?
Answer:
9.4 m/s
Step-by-step explanation:
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
4(8+y)=96 I need this answer if anyone knows it let me know
Answer:
y = 16
Step-by-step explanation:
Given
4(8 + y) = 96 ( divide both sides by 4 )
8 + y = 24 ( subtract 8 from both sides )
y = 16
Answer:
y = 16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(8+y)-(96)=0
4 • (y + 8) - 96 = 0
Pull out like factors :
4y - 64 = 4 • (y - 16)
4 • (y - 16) = 0
Solve : 4 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve : y - 16 = 0
Add 16 to both sides of the equation :
y = 16
Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the following explains about how much farther Tim rode his bike this year than last year? A. About 200 times farther; Subtract last year's distance from this year's distance to get 208 3/8.
Then round to the nearest hundred to get 200.
B. About 50 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 50 to see that 259 is close to 50 × 5.
C. About 10 times farther; 258 is about 5 times 50, and 34 is 2 times 38, so multiply 5 × 2 to get 10.
D. About 5 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 5 to see that 259 is close to 50 × 5.
Answer:
D
Step-by-step explanation:
1. Write an ordered pair to represent point G.
Answer:
n 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). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
Answer:
Ya'll should stop forgetting about the pics
ILL GIVE BRAINLEST !!!!
Enter an equation for the function that includes the points. Give your answer in the form a(b*). In the
event that a = 1, give your answer in the form b*.
(1, 12) and (2, 144)
The equation is f(x)=
Slope is
1
2
y-intercept is 7
Asapppp. Hurrryyyy
Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
HELP MIDDLE SCHOOL QUESTION
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. DO NOT ROUND.
Answer:
0.00375
Step-by-step explanation:
Divide 1.875 by 500. This divides the total thickness into 500 groups, or 500 papers. The answer is unrounded
Answer:
points
Step-by-step explanation:
You bought some stock, and then the stock price went down by 17.2% from the purchase price. By what percentage would the price have to increase for the investment to be back to the original value?
Step-by-step explanation:
Let's pick some easy numbers for illustration.
Let x equal our initial stock purchase, and, say it was $100.
x = $100
The problem says it's value dropped by 17.2%. If x = 100 is 100% of our stock value the 17.2% less is
[tex]x - 0.172x = 0.828x[/tex]
So now our stock is worth 0.828(100) = $82.80.
Now how much of an increase do we need to get back to $100.
[tex]100 - 82.80 = 17.20[/tex]
So our base is $82.80 because our stock price dropped, we want to know what percent increase is $17.20 of $82.80
[tex]17.20 \div 82.80 = 0.2077[/tex]
Or 20.77% increase to get back to original price.
To make this generic, since $100 is not supplied information, substitute x for 100 and 0.828x for the amount of money dropped.
x = original stock value
[tex]x - 0.828x [/tex]
Is the amount of value lost, and to be regained in the second part of the question.
To find out what portion the decrease is of the new value
[tex] \frac{(x - 0.828x)}{0.828x} = \frac{0.172x}{0.828x} = 0.2077 [/tex]
Or 20.77%
What is 0.564 written in expanded form?
Answer:
0.5 + 0.06 + 0.004 in expanded form.
Step-by-step explanation:
what is the value of x in the solution set of -5x-15>10+20x
Answer:
The answer is x < -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
brainly, please?
Answer:
–1 is the answer
Step-by-step explanation:
can someone please help me with this problem? real answers only!
Answer:
sir plese tell the full question
Answer:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
Step-by-step explanation:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
Four- fifths of the 7th-grade students completed a race. What percent of the 7th-grade students completed the race.
Answer:
4/5????
Was it supposed to tell you the answer
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
4 divided by 5 is .8
Then multiply it by 10
.8 x 10 = 80
If 3/4 of the class likes soda and 3/5 of those who like soda prefer Coke, what PERCENT of the whole class that likes Coke?
Answer:
For soda =3/4
For coke= 3/5 X 3/4=9/20
Whole class is 1....
Therefore X% of 1 =9/20
Solving :
X/100 X 1 =9/20
X/100=9/20
20X =900
X= 900/20 = 45%
Order these fractions from least to greatest.
3/8, 2/8 , 4/8
10
12
15
18
Are my choices
Answer:
y=10 x=30
Step-by-step explanation:
3x=90
x=30
2(30)+3y=90
60+3y=90
3y=30
y=10
Answer:
y= 10
Step-by-step explanation:
we have to find x first
∠ABD= 90° because its a right angle
3x°=90°
divide by on both sides
x= 30°
∠CBD must equal 90° degrees as well because a line is 180°
60+3y= 90
-60
3y=30
/3
y= 10
A solar heating device can recharge (store heat) in a single sunny day enough to provide for the next two days. In other words, the only times that the solar heat must be augmented by some other heat source is when there are three or more consecutive cloudy days. During the heating season, a period of 120 days, the weather patterns are described by the following Markov chain:
Sunny Cloudy
Suuny 1/2 1/2
Cloudy 1/3 1/3
Using this information, construct another Markov chain which is capable of indicating when the solar heat must be augmented. Hint: Think carefully about your state definition.
Answer:
Step-by-step explanation:
Suppose the number of days is represented with the states(S) provided that a sunny day, with a maximum of three.
i.e.
S = (0, 1, 2, 3)
It implies that; if we assume that [tex]X_n=2[/tex], what this means is that today appears cloudy, then yesterday was cloudly as well while the day before yesterday was sunny.
Constructing a one-step probability transition matrix;
[tex]P = \left\begin{array}{cccc}0\\1\\2\\ 3 \end{array}\right \left[\begin{array}{cccc}1/2&1/2&0 &0\\1/3&0&2/3&0\\1/3&0&0&2/3\\ 1/3 &0&0&2/3\\\end{array}\right][/tex]
Halla 2 enteros cuyo producto sea 210 y uno de los enteros debe ser uno menos que el doble del otro
Tonya drove 343 miles the first day of her trip. how many days will it take her to drive the remaining 1,200 miles if she continues at the same rate?
Answer:
3.5 days
Step-by-step explanation:
Given
[tex]Day\ 1 = 343\ miles[/tex]
Required
Number of days to drive 1200 miles
Represent as ratio:
[tex]Day\ 1 = 343\ miles[/tex]
[tex]Ratio = 1 : 343[/tex]
For 1200 miles
[tex]Ratio = x : 1200[/tex]
Equate both ratios
[tex]x : 1200 = 1 : 343[/tex]
Express as fractions
[tex]x/1200 = 1/343[/tex]
Multiply by 120
[tex]x/1200 *1200= 1/343*1200[/tex]
[tex]x= 3.4985[/tex]
[tex]x= 3.5[/tex] --- approximated
I need help with this
a car has a mass of 1,200 kg. what is it's acceleration when the engine exerts a force of 600 N ? (formula: F= ma)
Answer:
In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N
Step-by-step explanation:
A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB
Answer:
Step-by-step explanation:
I will assume that the scale factor is 2.5
A'(-5,2.5) True
AB || A'B' True
?? What does ABAB" mean?
A'B' is an enlargement of AB True
circumference of a circle is 110cm.If the diameter of this circle is used to make one side of a square, what is the perimeter of the square?
Answer:
120
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
if the circumference is 110, the diameter is ~35, and 35*4=140
Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:
type < = to means
or > = to mean .
A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer: its 100-e=42
Step-by-step explanation: i just answered it
A restaurant uses 8 pounds of potatoes to make 15 servings of hash browns. At this rate, how many servings of hash browns could be made if they had 72 pounds of potatoes?
Answer:
135
8*9=72
15*9=135
Answer:
135
Step-by-step explanation:
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.