Al aplicar el teorema de Pitágoras en alguno de los triángulos que aparecen en la figura, solo un planteamiento es el correcto, ¿cuál es?
Seleccione una:
a. h2 + b2 = c2
b. c2 + b2 = a2
c. Ningún planteamiento es correcto
d. a2 + m2 = b2
Answers
Question:
Found a picture which relates to the question asked. It can be found in the attachment below.
Answer:
b. c2 + b2 = a2
Step-by-step explanation:
According to Pythagoras rule :
The longest side of the triangle is the hypotenus
The opposite and adjacent sides depends on the particular angle provided or one which is to be calculated.
The opposite side is one drawn across a given angle, while the side next to the Given angle is called the adjacent side.
FROM △ABC ;
THE longest side is 'a' = hypotenus
Opposite side = c
Adjacent = b
From Pythagoras :
(Hypotenus)^2 = (Opposite)^2 + (adjacent)^2
Hence,
a^2 = c^2 + b^2
Related Questions
Two students are in charge of finding how many T-shirts to order for the students that want one. Each student collects sample data. The conclusions are shown. Compare the students' conclusions. Whose inference do you agree with? Explain. If there are 504 students in the school, use the better conclusion to estimate the number of T-shirts the school should order.
Student 1: Simple random sample; StartFraction 35 Over 50 EndFraction
said they would like a T-shirt, so order enough for 70% of the school.
Student 2: Systematic sample; StartFraction 51 Over 60 EndFraction
said they would like a T-shirt, so order enough for 85% of the school.
Answers
Answer:
student 2
Step-by-step explanation:
35/50 = 70%
51/60 = 85%
A shop advertises 25% off its prices in a sale.
A dress is £90 in the sale.
How much was it before the price reduction?
Answers
Answer:
it's 22.5
Step-by-step explanation:
You do 25% of 90 =22.5
Answer:
£120
Step-by-step explanation:
A reduction of 25% of the price, means the price of the dress in sale is 75%.
⇒ £90 →75%
X→100%
⇒ the price before the reduction= X=(90×100)÷75=£120
When constructing parallel lines with a compass and straightedge, how should you start the construction? Measure the length of the original line and make an arc. Create a line that intersects the given line with your straightedge. Open the compass to the width of the line and draw two arcs. Use a straightedge to create two arcs above and below the line.
Answers
Answer:
The second choice.
Step-by-step explanation:
Open the compass to the width of the line and draw two arcs.
These arcs should be on the same side of the original line.
You can then draw the parallel line with the straight edge just touching the top of each arc.
Parallel lines can be drawn using compass and straightedge using the concept of corresponding angle.
What are the parallel lines?Two lines are called parallel when they never meet each other if they are increased on the either side of them.
When constructing parallel lines with a compass and straightedge we can follow the below mentioned steps.
1. At first we need to draw a straight line. Then take a random point on it.
2. After that, we need to take a random point above the line that is drawn. Then, we need to connect two points.
3. After that, draw two arcs using the compass. First arc is on the angle formed by two lines drawn. The next arc is on the line that connects two points.
4. Now using the compass, we can copy the angle formed on the first line on the point above the first line.
5. Now, complete the angle on the point above the first line. These two lines are parallel lines.
Learn more about parallel lines here: https://brainly.com/question/1418314
#SPJ2
Classify the following triangle.Check all that apply
Answers
Answer:
B and D
Step-by-step explanation:
=> All of the sides are unequal so it's a scalene triangle.
=> It have a 90 degrees angle, so it is a Right Angled Triangle.
Answer:
B. Scalene
D. Right
Step-by-step explanation:
The triangle is a scalene triangle, because all the three sides have different lengths.
The triangle is a right triangle, because it has an angle of 90 degrees.
Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How much time did he spend in visiting old folks homes?
B) This year Peter plans to spend 1 1/5 of his time spent last year on community service.
(i) Find the time he will spend on community service.
(ii) How much more time will he spend this year than last year?
Answers
Answer:
A. 4 2/3 hours
B. (i) 9 4/5 hours
(ii) 1 19/30
Step-by-step explanation:
Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.
Mathematically, that would be;
4/7 * 8 1/6
8 1/6 is same as 49/6
So the number of hours he spent visiting old folks would be ;
49/6 * 4/7 = 14/3 = 4 2/3 hours
B. What we do here is simply multiply the fraction now by what he spent last year.
That would be 1 1/5 * 8 1/6 hours
= 6/5 * 49/6 = 49/5 = 9 4/5 hours
ii) Now we want to know how much more time will be spent this year than last year.
What to do here simply is to subtract the time taken last year from what we have this year
That would be;
49/5 - 49/6 = 49/30 = 1 19/30
Which polynomial identity will prove that 35 = 27 + 8?
Answers
trig and picture pls help
Answers
Answer:
Im pretty sure that the answer is 32.
Step-by-step explanation:
Hope this helps
Please Help...Anyone? I am revising for a test tomorrow, so please explain how you get the answer, too.. The ratios of the ages of Sunil and his Wife is 4:3. After 4 years, the ratio will be 9:7. What is the present age of Sunil
Answers
Answer:
32 years old
Step-by-step explanation:
Please see attached picture for full solution.
Let Sunil's present age be 4x and his wife's present age be 3x.
A little help would be nice :')
Answers
Answer:
(2,6)
Step-by-step explanation:
x+2y = 14
y = x+4
Substitute x+4 into the first equation for y
x+2(x+4) = 14
Distribute
x+2x+8 = 14
3x+8 = 14
Subtract 8 from each side
3x+8-8 = 14-8
3x = 6
Divide by 3
3x/3 = 6/3
x = 2
Now solve for y
y = x+4
y =2+4
y =6
(2,6)
Answer:
D. (2, 6)
Step-by-step explanation:
Put y as x+4 in the first equation and solve for x.
x + 2(x + 4) = 14
x + 2x + 8 = 14
3x = 14 - 8
3x = 6
x = 2
Put x as 2 in the second equation and solve for y.
y = 2 + 4
y = 6
Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 2 22 millimeters ( mm ) (mm)left parenthesis, start text, m, m, end text, right parenthesis thick. The baking process then involves repeatedly rolling out and folding the dough to make layers. Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % 8%8, percent. What is the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm 2.5mm2, point, 5, start text, m, m, end text thick
Answers
Answer:
3times
Step-by-step explanation:
Baking Process: repeatedly rolling out and folding the dough to make layers
Soon Yi starts with a layer of dough = 2millimeters
Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % = 1 + 8 %
When time = 1
Thickness = 2(1 + 8 %) = 2(1+0.08)
= 2(1.08) = 2.16
For time = n
Thickness = 2(1 + 8 %)^n = 2(1.08)^n
When thickness ≥ 2.5mm, n= ?
2.5 = 2(1.08)^n
2.5/2 = (1.08)^n
1.25 = (1.08)^n
Since the numbers are close (1.25 and 1.08), we can compute by multiplying 1.08 by itself till we get 2.5.
1.08 ×1.08× 1.08 = 1.259712
(1.08)³ is a bit above 1.25
2(1.08)³ satisfies the thickness of at least 2.5mm
Let's check our answer using the formula:
When n = 3
2(1.08)³ = 2 × 1.259712 = 2.519424
This satisfies the thickness of at least 2.5mm
Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm = 3
Which pair shows equivalent expressions?
Answers
Answer:
2(2/5x+2)=4x/5+4
Step-by-step explanation:
2(2/5x+2)=4x/5+4
4x/5 +4=4x/5 +4
Find the solution of this system of equations
- 2x + 10y = -22
-2x - 4y = 6
Answers
Answer:
x = 1, y = -2
Step-by-step explanation:
- 2x + 10y = -22 _______(1)
-2x - 4y = 6 _______(2)
From (1),
10y + 22 = 2x
x = (10y + 22) / 2
x = 5y + 11 .______(3)
Substitute (3) into (2),
-2 ( 5y + 11) -4y = 6
-10y - 22 - 4y = 6
-14y = 6 + 22
-14y = 28
y = 28/ -14
y =-2
Substitute y = -2 into (3).
x = 5y + 11
x = 5(-2) + 11
x = -10 + 11
x = 1
Therefore, the solution is x = 1, y = -2.
Can someone please help me I really need help it’s my last question
Answers
Answer:
x^2+11x+30
Step-by-step explanation:
This is a parallelogram.
Area of a parallelogram can be found with:
A=bh
Plug our values in.
A=(x+6)(x+5)
FOIL-
First: x*x=x^2
Outside: x*5=5x
Inside: 6*x=6x
Last: 6*5=30
x^2+5x+6x+30
Combine like terms.
x^2+11x+30
PLEASE HELP ME Im confused!!!! Kinah works in a bakery and is making peach pies. She makes 40 pies and uses 6 peaches for each pie. The number of peaches that she uses to make the pies is a function of the number of pies that she makes. Which of these statements describe the domain or range of this function? Select two that apply.
Answers
Answer:
b
Step-by-step explanation:
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answers
Answer:
11.67
Step-by-step explanation:
Data given in the question
∠ADC = 42°
∠BAC = 68°
Let us assume that AC be Y
Now
In ΔACD
tan 42° = AC ÷ CD = Y ÷ x ...............................(i)
In ΔACB
tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)
Now take the value of Y from the equation (ii)
Y = 26 ÷ Tan 68° ...................... (iii)
Now place the value of Y in equation (i)
So,
Tan 42° = 26 ÷ tan 68° × X
X = 26 ÷ tan 68° × Tan 42° ......................(iv)
Now placing the values of tan 42° and tan 68° in equation (iv)
So,
X = 26 ÷ 0.900 × 2.475
= 11.67
The tan 42° = 0.900
And, the tan 68° = 2.475
Find the product of the following.
i) –5a2bc, 6ab, 8abc2
ii) –3x2y and (5y – xy)
iii) x2y2z2 and (xy – yz + zx)
iv) (p+6)and (q–7)
v) (2x+7)and(x2 –5x+6) vii) (x + y + 5) and (2x – 2y – 3)
PLEASE I NEED THE ANSWER NOW
Answers
Answer:
i) -240[tex]a^{4}b^{3} c^{3}[/tex]
ii) -15x²y² + 3x³y²
iii)x³y³z³ - x²y³z³ + x³y²z³
iv) pq -7p+6q-42
v)9x²-33x +42
vii) 2x² - 2y² + 7x -13y - 15
Step-by-step explanation:
To find product here means to multiply the algebraic expressions together
i) (–5a²bc)×(6ab)×(8abc² )
multiply like terms together
= -240[tex]a^{4}b^{3} c^{3}[/tex]
ii) (–3x²y) ×(5y – xy)
(–3x²y)×(5y) – (–3x²y) ×(xy)
multiply like terms together
multiplication of same sign gives +, while that of opposite sign gives -
= -15x²y² + 3x³y²
iii) (x²y²z²) ×(xy – yz + zx)
(x²y²z²)×(xy) – (yz)× (x²y²z²) + (zx) ×(x²y²z²)
multiply like terms together
multiplication of same sign gives +, while that of opposite sign gives -
= x³y³z³ - x²y³z³ + x³y²z³
iv) (p+6)and (q–7)
p(q–7) +6(q–7)
multiply like terms together
multiplication of same sign gives +, while that of opposite sign gives -
= pq -7p+6q-42
v) (2x+7)and(x² –5x+6)
multiply like terms together
multiplication of same sign gives +, while that of opposite sign gives -
= 2x² -10x+12x+7x²-35x+42
collect like terms
= 9x²-33x +42
vii) (x + y + 5) and (2x – 2y – 3)
multiply like terms together
multiplication of same sign gives +, while that of opposite sign gives -
= 2x²-2xy-3x+2xy-2y²-3y+10x-10y-15
collect like terms
= 2x² - 2y² + 7x -13y - 15
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School.
Answers
Complete question is;
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
467
Step-by-step explanation:
We are told that 18 out of 70 of the surveyed students' favorite season is fall. This when expressed in fraction, gives; 18/70.
Now we need to multiply this fraction by the total number of Franklin High School students in order to get the estimate for the number of students at Franklin High School whose favorite season is fall. Total number of students = 1816. Thus, estimate is;
1816 × 18/70 = 467
Thus, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall would be 467.
HURRY PLEASE HELP Which quadratic function fits the three points (1, −2), (2, −2), and (3, −4)? A. y = x2 − 3x − 8 B. y = x2 + 3x − 4 C. y = −x2 − 4x + 4 D. y = −x2 + 3x − 4
Answers
Answer:
D
Step-by-step explanation:
If we plug in the points to A, not all 3 of them work so A is not the answer. If we repeat this process with the other functions we see that the answer is D.
Kevin and Emily Johnson pay $1,375 for monthly rent. Emily lost her job and the couple needs a less expensive apartment. They rented a new apartment for $950 per month. If the cost of moving was $275, find their savings the first year if they move to a new apartment.
Answers
Step 1) Solve for the amount of money Kevin and Emily used to spend in a year for rent
1375 x 12 = 16500
Step 2) Solve for the amount of money Kevin and Emily spend in a year now for rent
(950 x 12) + 275 = 11675
Step 3) Subtract the new amount of money per year from the old amount of money per year to find the savings in the first year
16500 - 11675 = 4825
Kevin and Emily will save $4,825 the first year if they move to a new apartment.
Hope this helps!! :)
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answers
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
if AB is 3/4 and CD is 8/-6 are the parallel, perpendicular or niether
Answers
Answer:
neither
Step-by-step explanation:
parallel lines have the same slope, perpendicular lines' slopes are the negative inverse of eachother.
Which expression represents a difference of squares ?
Answers
Answer:
first and last options
Step-by-step explanation:
Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².
Answer:
1 and 4
Step-by-step explanation:
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.
Answers
Answer:
D
Step-by-step explanation:
Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote
a set of five numbers has a mode of 24 a median of 21 a mean of 20 . work out what the numbers could be
Answers
Answer:
Step-by-step explanation:
The mode is 24 so we know that at least 2 of the 5 numbers are 24.
The mean is 20 so we know that the 5 numbers add up to 100.
The median is 21 so the third number is 21.
100-(24+24+21)= 31
Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.
E.g. 24, 24, 21, 11 & 20
The y-intercept in the linear equation −2y−4x−6=0 is _[blank]_. will give brainliest
Answers
Answer:
-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.
Step-by-step explanation:
Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:
[tex]-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\[/tex]
which tells us that the slope of the line is -2 and it y-intercept is "-3".
Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)
giving the x-coordinate 0 and the y-value where the line crosses the y-axis.
Answer:
-3.
Step-by-step explanation:
-2y - 4x - 6 = 0
-2y = 4x + 6
y = -2x - 3
So, the y-intercept is (0, -3).
Hope this helps!
two angles of a triangle measure 32 degrees and 62 degrees what is the measure of the third angle? A) 76 degrees B) 86 degrees C) 94 degrees D) 96 degrees
Answers
Answer:
86 B
Step-by-step explanation:
32+62=94
180-94=86
The sum of the interior angles of a triangle always add up to 180 degrees.
Answer:
The third angle is 86
Step-by-step explanation:
The sum of the angles of a triangle add to 180
32+62+x = 180
94+x = 180
Subtract 94 from each side
x = 180-94
x =86
Factor completely [tex]3x^3-3x^2-18x[/tex].
A - 3x(x + 3)(x + 2)
B - 3x(x + 3)(x − 2)
C - 3x(x − 3)(x + 2)
D - 3x(x − 3)(x − 2)
Will give Brainliest!
Answers
Answer:
The answer is 3x(x - 3)(x + 2)
Step-by-step explanation:
3x³ - 3x² - 18x
Factor out 3x from the expression
We have
3x ( x² - x - 6)
Solve the terms in the bracket
We have
3x ( x² + 2x - 3x - 6)
Factor out x the expression in the bracket
We have
3x ( x ( x + 2) - 3( x + 2) )
Factor out x + 2 from the expression in the bracket
We have the final answer as
3x ( x - 3) (x + 2)Hope this helps you.
A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answers
Step-by-step explanation:
For one course:
6+8+5=
Two courses with appetizers and main meals (* means times)
6*8
Two courses with appetizers and dessert
6*5
Two courses with main meals and dessert
8*5
A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 12\,\text{cm}}11cm×12cmstart color #11accd, 11, start text, c, m, end text, times, 12, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answers
Answer:
119.43cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
As we know that
= Area of the rectangle - Area of the circle
where,
Area of rectangle is
[tex]= length \times breadth[/tex]
[tex]= 11\times 12[/tex]
= 132 cm^2
And, the area of the circle is
[tex]= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2[/tex]
Now the area of the shaded region is
[tex]= 132 cm^2- \frac{88}{7}cm^2[/tex]
= 119.43cm^2
We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.
Answer:
the answer
is 128.86 Step-by-step explanation:
The school aims to raise a minimum of $5,250 after paying for all the expenses. If the school collects $50 per guest and chooses a venue that can seat not more than 150 guests, what is the minimum number of children that must attend the event?
Answers
At least 105 children must attend the event