Answer:
25
Step-by-step explanation:
To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2 where a and b are legs and c is the hypotenuse. We can plug in the values of 15 and 20, and solve for c:
15^2 + 20^2 = c^2
225 + 400 = c^2
625 = c^2
c = 25
This means the hypotenuse is 25.
Write in point-siope form, siope-intercept form, and standard form an equation that passes
through( - 1, 2) with slope 4.
Answer:
The forms are:
y - y1 = m(x - x1)y = mx + bax + by = cGiven:
m = 4Point (-1, 2)Use point slope form:
y - 2 = 4(x - (-1))y - 2 = 4(x + 1)Convert it to slope-intercept form:
y = 4x + 4 + 2y = 4x + 6Convert it to standard form:
4x - y = - 6Identify the sequence that lists the sides of △MNO in order from shortest to longest.
Answer:
MO, NO, MN
Step-by-step explanation:
First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.
Therefore,
∠M + ∠O + ∠N (the angles of the triangle) = 180
49 + 90 + ∠N = 180
139 + ∠N = 180
subtract both sides by 139 to isolate the variable
∠N = 41
Therefore, ∠N is 41 degrees.
In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.
Our angle lengths are
41, 49, and 90 degrees in order.
Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle
Daniel took her dog for a walk. She decided to count how many dog ears. She passed on her walk. She passed 14 dogs. How many ears did she count?
Answer:
Each dog has 2 ears (unless a dog had genetic disorder)
So-
14 x 2
= 28
So she counted of 28 Ears of total
(honestly that's a weird thing to do but ok)
Answer:
14 x 2 = 28
Step-by-step explanation:
Each dog has 2 ears
14 dogs has 28 ears
By which angle must turn about point A in the clockwise direction so that it coincides with ?
https://cdn.ple.platoweb.com/EdAssets/6168ddce5d8545b692cd00c2eaaf2f05?ts=635385675311870000
A. 90°
B. 180°
C. 270°
D. 360°
When a line is rotated, it is rotated about a fixed point to its new position. Line AB must turn 180 degrees about point A to coincide with line AE.
The complete question is that we determine the angle which AB will turn to, about point A to align with AE (see attachment for the figure)
Line AB and AE form a straight line. This means that the angle between these two lines on either side of point A is [tex]180^o[/tex]
So for line AB to coincides with line AE, the line AB must turn 180 degrees about point A.
Hence, option (B) is correct.
Read more about rotation of points at:
https://brainly.com/question/22363471
Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]
1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]
5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]
respuesta: 2 [tex]\frac{1}{2}[/tex]
1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.
Answer:
40 feets
Step-by-step explanation:
Given that :
Person's height = 5feet 6 inches ;
Person's height in inches ;
1 foot = 12 inches ;
5 feets = (12 * 5) = 60 inches
Person's height = 60 + 6 = 66 inches
Height of person's shadow = 16.5 inches
Height of post shadow = 120 inches
Height of goal post = x
(Height of goal post / height of post shadow) = (person's height / person's shadow)
x / 120 = 66 / 16.5
Cross multiply :
16.5x = 120 * 66
16.5x = 7920
x = 7920 / 16.5
x = 480 inches
To feets ;
1 foot = 12 inches
480 inches = 480/12 feets = 40 feets
The diameter of a circle is 7 m. Find its area to the nearest tenth.
Area = pi x r^2
R = 7/2 = 3.5
Area = 3.14 x 3.5^2
Area = 38.5 m^2
Please answer this, Its due in a few minutes
Answer:
The final solution is 2.
y ÷ 2 + x ; use x = 1 and y = 2
(2) ÷ 2 + (1) -----> divide 2 by 2
1 + 1 ----> add the quotient of 2/2 to 1
2 ---> answer
Answer:
2
Step-by-step explanation:
(To make this easier I will put this in steps)
Step 1 : Substitute
As you can see we are given the amount the variable stands for so we can simply just substitute them out...
y / 2 + x OR 2 / 2 + 1
Step 2 : Solve
Now that there are no variables this should now be pretty simple to solve.
2/2 = 1 so...
1 + 1
Then you would add them and get 2
y / 2 + x = 2
Hope this helps :)
Question 13 (5 points)
m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.
Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
A car accelerates from rest at 1.0 m/s2 for 20.0 seconds along a straight road. It then moves at a constant speed for half an hour. It then decelerates uniformly to a stop in 30.0 s. Find the total distance covered by the car.
HELP
Answer:
50m
Step-by-step explanation:
speed (m/s2) = distance (m) ÷ time (s)
distance = speed (m/s2) x time (s)
1x20 =20m.
30s = 30m because they do 1 meter per second (every second)
50m in total if not counting the constant for half a hour.
Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^4 +5x2 +4
Answer:
(x-5)(x+2)(x+4)
Step-by-step explanation:
I just did It
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
No
Step-by-step explanation:
Because the area of a square is always a square of its length and a square can't be prime.
Insert the missing number.
4
6 9 14
23
40
?
138
266
Answer: The missing number is 73
Step-by-step explanation:
Given:
4, 6, 9, 14, 23, 40, ?, 138, 266
Solve:
First, we try arithmetic patterns.
6 - 4 = 2
9 - 6 = 3
14 - 9 = 5
23 - 14 = 9
40 - 23 = 17
Clearly, there aren't arithmetic patterns.
Then, try through multiplication, exponents, and combination.
Finally, the pattern is multiplied by 2 on each number, then subtract 2 starting with 4 and add 1 for each increasing number.
4×2-2=6
6×2-3=9
9×2-4=14
As it goes on, the missing number would be:
40×2-7=73
Hope this helps!! :)
Please let me know if you have any questions
Please explain how you got the answer!
Answer:
One of the scenarios:
Reflection over y-axis, then Translation 1 unit right and 9 units downgiven m||n, find the value of x
By using the corresponding angles theorem we can see that (6x - 5)° and (x - 25)° are supplementary angles, so they add up to 180°.
This means that:
(6x - 5) + (x - 25) = 180
7x - 30 = 180
7x = 210
x = 30
If you want to find the exact values of the angles, just plug x = 30 into the angle values! :)
What is 2:50 is simplest form
Answer:
0.04
Step-by-step explanation:
2 / 50 is the same as 1 / 25.
1 / 25 = 0.04
Answer:
0.04
Step-by-step explanation:
solue for x
X(3 + X) = 3x + x²
Answer:
here,
3x-3x=
[tex] {x}^{2} - {x}^{2} [/tex]
x=0
Given the center and radius, find equation of the circle
Answer:
[tex]{ \sf{ {(x - 2)}^{2} + {(y + 8)}^{2} = 4}}[/tex]
Answer:
Center is (2, -8) and radius =2
h = 2 and k = -8
Filling in this equation:
(x -h)² + (y -k)² = radius² we get:
(x - 2)^2 + (y--8)^2 = 2^2 which equals
(x-2)^2 + (y +8)^2 = 4
Source: http://www.1728.org/circleqn.htm
Step-by-step explanation:
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is . 43. Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Answer:
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they order a nonalcoholic beverage, or they order an alcoholic beverage. The probability of a customer ordering a nonalcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.43.
This means that [tex]p = 0.43[/tex]
Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
This is:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.43)^{0}.(0.57)^{7} = 0.0195[/tex]
[tex]P(X = 1) = C_{7,1}.(0.43)^{1}.(0.57)^{6} = 0.1032[/tex]
[tex]P(X = 2) = C_{7,2}.(0.43)^{2}.(0.57)^{5} = 0.2336[/tex]
[tex]P(X = 3) = C_{7,3}.(0.43)^{3}.(0.57)^{4} = 0.2937[/tex]
[tex]P(X = 4) = C_{7,4}.(0.43)^{4}.(0.57)^{3} = 0.2216[/tex]
Then
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0195 + 0.1032 + 0.2336 + 0.2937 + 0.2216 = 0.8716[/tex]
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
CAN A KIND SOUL PLEASE HELP ME OUT??!!!!!!!!!!!!!!
The translation (x, y)->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
please show how you got it so I can see if the answer makes sense!!!!
Answer:
First find the coordinates of the vertices. A=(-8,8), B=(-8,3) and C=(-4, 4). Next apply transformation, A'=(2, 2), B=(2, - 3) and C=(6, - 2). Next map this and join them to get the required triangle
150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.
the students took math and physics = 55
3x - 28= 80
What is the value of x?
Cual es el valor de x?
Answer:
3x-28 = 80
3x = 108
x = 36
Let me know if this helps!
Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M
The transformation that maps the pre-image to the image is given as follows:
Dilation.
How to identify the transformation?The four types of transformation listed in this problem cause these following changes:
Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.
More can be learned about transformations at https://brainly.com/question/28792248
#SPJ1
Answer:
dilation
Step-by-step explanation:
took the test
Find the value of the trigonometric ratio, Make sure to simplify the fraction if needed
Answer:
Cos Z = 7/25
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos Z = 14/50
Cos Z = 7/25
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
As the [tex]\triangle\sf{XYZ}[/tex] is a right angle traingle.
we know that,
[tex]\boxed{\underline{\sf{cos\blue{\theta}=\dfrac{adjacent}{hypertension} }}}[/tex]
According to the question,
[tex]cosZ=\dfrac{adjacent}{hypertension}\\\\cosZ=\dfrac{14}{50}\\\\\pmb{\green{\sf{cosZ}=\frak{\dfrac{7}{25}}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Use the point slope formula…
Answer:
y = 3x + 7
Step-by-step explanation:
When lines are parallel, the slope is the same but the y-intercept is not
The blue line is the graph for y = 3x + 2
The slope for the line is 3/1
So the slope for the line containing (-2,1) should be 3/1
I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.
I graphed the line in yellow
In y=mx + b, b = 7, and mx = 3x
So the equation is y = 3x + 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
David has a part-time job. He earns $9.40 per hour. How much will he earn when he works 9 hours?
Answer:
$84.60
Step-by-step explanation:
$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents
7. solve for x!
please help
(3x/6) + 2 = 8
=> 3x/6 = 8 - 2
=> 3x/6 = 6
=> 3x = 6 × 6
=> 3x = 36
=> x = 36/3
=> x = 12
Answer:
x=12
Step-by-step explanation:
3x/6+2=8
3x/6=8-2
=6
3x/6(6)=6(6)
3x=36
x=12
1. Suppose A = { 1, 3, 5, 7, 9, 11 , 13} and B = {2, 3, 5, 7, 11, 13}. Find the value of A U B .
2. suppose c: {prime numbers less than or equal to 20}. find n(C)
3. Suppose A = { 2, 3, 4, 5, 6, 7, 9, 12} , B = {2, 12, x, 9} and B is a subset of A. What possible values could x have?
help
Problem 1
Answer: {1, 2, 3, 5, 7, 9, 11, 13}-----------------------
Explanation:
The notation A U B means we're applying a union between A and B. This will form a larger set in which items from A or B are thrown into A U B. Think of "union" as in getting married, and person A's stuff is combined with person B's stuff to form a larger set. Any duplicates are tossed. It's often helpful to sort from smallest to largest.
==========================================================
Problem 2
Answer: 8-----------------------
Explanation:
Set C is defined as the set of prime numbers less than or equal to 20. The roster form is C = {2,3,5,7,11,13,17,19} which basically lists every item that fits the description earlier. Note how the value 1 is not prime, so it's not in the set C.
From here, we simply count out the values in set C to find there are 8 values. Therefore, n(C) = 8.
============================================================
Problem 3
Answer: 3, 4, 5, 6, 7-----------------------
Explanation:
Let's consider a real world example of set vs subset. Consider the set of all animals and consider the subset of all dogs. Let's say
A = all animals
B = all dogs
We can see that set A is clearly larger than B. Also, any member of set B is also in set A, but not the other way around. In other words, if something is a dog, then they are also an animal. However, this doesn't work the other way around. For instance, we could have a cat in set A that wouldn't be in set B.
Let's return to the problem at hand. Since B is a subset of A, this must mean everything in B = {2,12,x,9} is found in set A. Sure enough, the 2, 12 and 9 are all in set A. The x must also be a value in set A so we could have
x = 3
x = 4
x = 5
x = 6
x = 7
as our possible answers. I'm not listing x = 2, x = 9 or x = 12 as they have been taken care of. I'm assuming that your teacher wants {2,12,x,9} to list unique items (ie it's after the duplicates are tossed out).
If l || m, classify the marked angle pair and give their relationship, then solve for x.
Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
