Answer:
Cạnh huyền=13, cgv1=12, cgv2=5
Step-by-step explanation:
Tam giác ABC
Gọi a là cạnh huyền(đối diện điểm A)
b là cgv đối diện điểm B
c là cgv đối diện điểm C
Theo đề bài: a=b+1 hoặc a=c+1
TH1: a=b+1 ta có hệ pt:
a=b+1 (1)
b+c=a+4 (2)
[tex]b^{2} +c^{2} = a^{2}[/tex] (3)
Thế (1) vào (2) ta được: b+c=b+1+4 => c=5
Thế (1) và c=5 vào (3) ta được: [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]
<=> [tex]b^{2} +25=b^{2} +2b+1[/tex]
<=> 2b=24 => b=12
=> a=b+1=12+1=13
TH2: a=c+1 ta có hpt
a=c+1 (4)
b+c=a+4 (5)
[tex]b^{2} +c^{2} = a^{2}[/tex] (6)
Tương tự tính được a=13,b=5,c=12
Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12
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
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 :)
Ayuda por favor help me please
Answer
English translation needed
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:
given 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! :)
A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time
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
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
what is the area of the composite shape?
Answer:
the ...ha answer is =99 in.^3
Identify 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
Which function shows a fabric with a price of $1.25 per square yard?
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).
Answer:
D
Step-by-step explanation:
Took the test
Brainliest pls
Answer:
D
Step-by-step explanation:
E 2020
plz plz plz help me solving this question
Perimeter: 19 cm ( I added 5.5+7.5+6)
The length of each side of the square: 8 cm
We know that the area is 64 cm2
A=a*a (length times length) We get 8 (because we know the times tables)
Volume: 100
Answer:
3.950121805833336 ≈ 4 m
Step-by-step explanation:
The area of a circle is calculated using this formula: A= πr². Since we know the area of the circle is 154 we have all the values we need to solve this problem.
154 = πr²
√154 = πr
12.40967... = πr
12.40967.../π = r
3.950121805833336 = r
3.950121805833336 ≈ 4 meters
simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
Answered by GAUTHMATH
Z= a/m, for a
It a literal equation
Answer:
a = zm
Step-by-step explanation:
z = a/m for a
Multiply all sides by m
zm = a or a = zm
Example:
2 = 6/3
in this case, z = 2, a = 6, and m = 3
We would multiply z(2) and m(3) to get a(6)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
(08.02 MC)
A pair of equations is shown below
y = 2x - 1
y = 4x - 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the
equations.
Part B: What is the solution to the pair of equations?
Step-by-step explanation:
526 133 3821
P: 12345
j _o _I _n g _I _r l
o. n z-oo-o-m
I HATE GEOMETRY I NEED HELP
Answer:
actually where is point D
46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.
the students took math and physics = 55
5x(2x-y) -3y(2+3x) expand and simplify
Answer:
10x² - 14xy -6y
Step-by-step explanation:
5x(2x-y)-3y(2+3x)
10x²-5xy-6y-9xy
10x² - 14xy - 6y
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answer:
b
Step-by-step explanation:
i had it
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
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
Write a function rule for the table. (Help please)
is it a,b,c or d
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.
2. If (x+1,Y+2)=(3,4), find the value of x and y
Answer:
x = 2
y = 2
Step-by-step explanation:
since it is an equal pair,
x+1 = 3
or, x = 3 - 1
x = 2
y + 2 = 4
or, y = 4 - 2
y = 2
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:
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.
Goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In
Answer:
g = At/60
Step-by-step explanation:
A = 60(g/t)
To solve for 'g'
Open the bracket
A = 60g/t
Multiply both sides by t
At = 60g
Divide both sides by 60
At/60 = 60g/60
At/60 = g
4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, and 3. A player randomly selects one marble and one cube. What are all the outcomes? How large is the sample space? possible
Answer:
Here is the sample space, its size is 4*3 = 12:
Black 1Black 2Black 3Blue 1Blue 2Blue 3Yellow 1Yellow 2Yellow 3Red 1Red 2Red 3Answer:
According to your question :-
four marbles 3 cubesfour marbles :-
black blueyellow redcubes numbered as :-
123_______________________
outcomes :-
At black ..
Black 1Black 2Black 3At blue ..
Blue 1Blue 2Blue 3At yellow ..
Yellow 1Yellow 2Yellow 3At red ..
Red 1Red 2 Red 3________________________
Size ...
4 X 3 = 12 size,,
hopes its helps you.
Eliana claims she has discovered a method for determining the general form equation of a line
The line Ax + By + C = 0 will always be perpendicular to the line Bx - Ay + C = 0.
Is Eliana's method reasonable? Explain why or why not?
Answer:
The answer is below
Step-by-step explanation:
The general form of a line is given by:
Ax + By + C = 0
The slope intercept form of a line is give by:
y = mx + b;
where m is the slope and b is the y intercept
Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:
By = -Ax - C
y = (-A/B)x - C/B
The slope is -A/B
For a line with equation Bx - Ay + C = 0:
Ay = Bx + C
y = (B/A)x + C/A
the slope is B/A
Two lines are said to be perpendicular if the product of the slopes is -1. Hence:
-A/B * B/A = -1; hence the two lines are perpendicular