Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
5. ¿Cuál es el resultado de simplificar a su minima expresión el siguiente
polinomio?:
2
3 3*
xy2 + 2x + 3xy2 + {x?y=5x
Answer:
El polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Step-by-step explanation:
Agrupemos los términos con las mismas variables:
[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]
Sumemos estos terminos:
[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]
Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.
Por lo tanto el polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Espero te haya servido.
El resultado de simplificar [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
El polinomio que queremos simplificar es
[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]
primero, recopilamos términos similares
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]
luego simplificamos los términos similares. Es decir
Para el [tex]xy^2[/tex] términos:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]
y para el [tex]x[/tex] términos:
[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]
la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.
Este es el trabajo total:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]
Incluso podemos factorizar la respuesta final para obtener
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973
2 + 2 = ?
please help!
Answer:
4
Hope that this helps!
the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth
Answer:
Step-by-step explanation:
ratio of length to breadth=4:3
let breadth be x m
4/3=12/x(do cross multiplication)
3*12=x*4
36=4x
36/4=x
9=x
therefore breadth= 6m
Please look at the image
Answer:
value for X
3x-4 =41
3x =41+4
3x =45
x =15
Please help me out! I really need to get this done.
On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?
Answer:
4 to 1
Step-by-step explanation:
The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.
Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I
Answer:
≈ 0.52
Step-by-step explanation:
P( head ) = 2/3 , P( tail ) = 1/3
when a head is tossed ; Gambler A wins $1
when a tail is tossed : Gambler B wins $1
Determine the P( Gambler A wins the game ) if he starts with I dollars
Assuming I = $1
n = 5
p ( head ) = P( winning ) = 0.66
p( losing ) = 0.33
applying the conditional probability in Markov which is ;
Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁
P( 1) = 0.66P₂ + 0.33P₀
resolving the above using with Markov probability
P( 1 ) = 0.51613
hence the probability of Gambler A winning the game if he starts with $1
≈ 0.52
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answer:
B
Step-by-step explanation:
i know this already from another
a) What fraction is equal to 50% of
1/3
?
b) What fraction is equal to 75% of 1
?
How much can a sphere hold with a radius of 18 inches wide express the answer in pie
Answer:
7776pi cubic inches
Step-by-step explanation:
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi (π)
610°
a. 61/pi/36
b. 25/pi/18
c. 61/pi/18
d. 61/pi/9
Please select from the best choices provided
Answer:
C. 61/pi/18
Step-by-step explanation:
I calculated logically
What choice is the range of f(x)=√x-3-1
Answer:
its not loading
Step-by-step explanation:
How many additional books does Tony get each month?
Answer:
3 books
Step-by-step explanation:
Answer:
3 books
Step-by-step explanation:
On the first 1st month Tony gets 11 book but on the second month Tony gets 14
14 books - 11 books = 3 books
There is a pattern of 3 new books each month.
(1 month = 3 new books)
Tony gets 3 additional books every/each month.
PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST
Answer:
for the solve and check:
[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
for the second solve and check:
[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
Answer:
Step-by-step explanation:
Green picture
x = 2.25 ft = 2 1/4 ft
we substitute 2 1/4 for x
x = 2 1/4 ft
3 3/4 ft + 2 1/4 ft = 6 ft
6 ft = 6 ft
Since 6ft is equal to 6ft...
Blue picture
It is 2 1/4 ft long
we substitute 7/8 ft for x
since 2 1/4 ft is equal ...
Yellow picture
2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft
x = 3 1/4 ft - 2 3/8 ft
x = 7/8 ft
Check
x = 7/8 ft
2 3/8 ft + 7/8 ft = 3 1/4 ft
3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft
x= 4 1/4 ft - 3 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
3 3/8 ft + 7/8 ft = 4 1/4 ft
red picture
4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft
x = 5 1/4 ft - 4 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
4 3/8 ft + 7/8 ft = 5 1/4 ft
PLEASE ANSWER __
WHAT IS LENGTH OF AB
Answer: 14 units
Step-by-step explanation:
Name the circle part L shown in the figure.
O Arc
O Sector
O chord
O radius
Answer:
Step-by-step explanation:
please xplain and help with answers
Step-by-step explanation:
for mixed number to a improper fraction you take the whole number and times that by the denominator and add the numeriator
for example
[tex]8 \frac{3}{8} [/tex]
8 x 8 = 64
64 + 3 = 67
and after you get your last number (67) you put that over your original denominator which is 8 so it would be
[tex] \frac{67}{8} [/tex]
for the improper to mixed you see how many times you denominator goes into your numerator
another example is
[tex] \frac{13}{7} [/tex]
7 goes into 13 twice so your whole number is 2 and you have a remaining 1 so it would look like
[tex]2 \frac{1}{7} [/tex]
Answer:
A) 9/4
B) 67/8
C) 17/6
D) 9/2
E) 16/3
F) 127/12
G) 37/4
H) 41/6
Q) Whole Number: 1 Fraction: 6/7
R) Whole Number: 4 Fraction: 1/2
S) Whole Number: 1 Fraction: 8/9
T) Whole Number: 2 Fraction: 1/3
U) Whole Number: 2 Fraction: 3/7
V) Whole Number: 3 Fraction: 1/3
W) I am not 100% sure for this one but I think it's right.
Mixed Number - Whole Number: 1 Fraction: 5/8
Improper fraction - 13/8
Step-by-step explanation:
With improper fractions the first thing that you want to do is multiply the whole number with the denominator (the number on the bottom of the fraction), then add the numerator (the number on the top of the fraction). You also want to keep the denominator the same in both fractions.
When working with converting mixed fractions into improper fractions it is kind of the opposite, but it is a little harder to explain. Let's take letter Q as an example. If you know that you cannot divide the numerator and the denominator in anyway to make a whole number, the whole number will become a one and the numerator is how many are left. so in this case the answer for Q would be 1 6/7, 1 being the whole number and 6 from 6+7=13. now let's look at letter R, you know you can divide 2 four times into 9, the whole number will be 4 and the fraction will be 1/2, 4x2+1=9. You can also double check that you did it right by turning it back into a improper fraction from the mixed number state by multiplying the denominator with the whole number, then adding the numerator. Hope that made sense, send me a DM if you need more help!
Divide £9 in the ratio 2 : 1
Answer:
Step-by-step explanation:
Can you help me with Math
Answer:
42+106=x
148=x
Step-by-step explanation:
Can y’all help me with this and if u don’t know don’t answer
Answer:
D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2
D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2
D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3
Step-by-step explanation:
Let me just make sure.
PLEASE HELP!!!!!!!!!!!
Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
NEED THIS BY FRIDAY ! I HAVE MORE UNANSWERED QUESTIONS ON MY PAGE!!
Answer:
2, 3, 4 (up to down)
Step-by-step explanation:
Rational: can be terminating, repeating, in a fraction
Irrational: Not terminating (ending), doesn't repeat (o.33333....), and you can't put it in a fraction
Hope this helps!!
p.s. brainliest plz
Write an equation that represents a parallel line to y=1/2x + 4
Answer:
1/2
Step-by-step explanation:
15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63
Answer:
The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.
Step-by-step explanation:
This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)
T1 = 27
T2 = -3 = T1 - 30 = 27 - 30
T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)
T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)
In general, the nth term of this sequence:
S(n) = 27 - 30X(n-1)
Please help me solve this
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
Plsss help. giving extra points if correct.
Answer:
98?
Step-by-step explanation:
The equation below describes a circle. What are the coordinates of the center
of the circle?
(x+ 5)2 + (y + 7)2 = 212
Answer:Center =(-5,-7)
Step-by-step explanation:
What is the area of this square?
A= 12
B= 48
C= 72
D= 144
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
========================================================
Explanation:
A square has all four sides that are the same length. So all four sides are 12 cm
area = side*side = 12*12 = 144 cm^2
Or you could say
area = (side)^2 = (12)^2 = 144 cm^2
Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.
---------
Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.
B
If you do 4x12 you will end up with 48