Answer:
x = y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )
8 × cos45° = x , then
x = 8 × [tex]\frac{\sqrt{2} }{2}[/tex] = 4[tex]\sqrt{2}[/tex]
The third angle in the triangle = 45° ( sum of angles in triangle )
Then the triangle is isosceles with congruent legs, thus
x = y = 4[tex]\sqrt{2}[/tex]
Escribe las siguientes cantidades en forma de notación científica
a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros
Answer:
I don't know. I am sorry
Step-by-step explanation:
2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3
7/20% off 25 is what?
Answer:
As a fraction: 7/80
0.0875
Step-by-step explanation:
If you meant 20% it is 5.
2a+3b=5
b=a-5 help please
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
Raon has a pitcher that holds three and seven-hundredths liters of orange juice.
If he divides the juice equally into ten glasses, how many liters of juice will be in each glass?
Choose all the correct answers
0.307
3 x 1 x 7 x 1/100
3 x 1/10 + 7 1/1000
3 x 100 + 7 x 1/ 1000
3.07
3 x 1/10 + 7 x 1/100
Answer:
A
Step-by-step explanation:
A bag contains 4 red, 3 green, and 2 yellow marbles. One marble is randomly chosen What is the probability that the marble picked is red?
Answer:
4/9 is the answer.
Answer:
there is more red marbles then the others
Step-by-step explanation:
Write the equation 6x – 3y = 9 in slope-
intercept form.
The Answer is is y=2x-3
Step-by-step explanation:
PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!
In a pet store,the ratio of dogs to cats is 3 to 2. if there are 15 dogs, how many cats are there at the pet store? NEED HELP ASAP
Answer:
10 cats
Step-by-step explanation:
dogs:cats = 3:2=15:x
3x=15.2
3x=30
x=10 cats
Ms. Fleener's fish tank has a bottom area of 102 square
centimeters. If the height of the fish tank is 12 centimeters, how
many cubic centimeters of water does the fish tank hold?
I
Answer:
1224 cm^3
Step-by-step explanation:
volume = bottom area x height
102x12=1224
The fish tank holds 1224 cc of water.
What is volume?In mathematics, volume is the space taken by an object.
Here, given that,
The area of the bottom of the tank =A= 102 cm²
now, the height of the water in tank = h= 12cm
we know, volume of water= A× h
=102×12 cc
=1224 cc
Hence, required volume is 1224 cc
To learn more on volume click :
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The ratio of one side of ACDE to the corresponding side of a similar AFGH IS 2:5. The perimeter of A CDEIS 9.2 inches.
Find the perimeter of AFGH.
Answer:
25:16 is the ans hope that helps!
9514 1404 393
Answer:
23 inches
Step-by-step explanation:
The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...
2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23
The perimeter of ΔFGH is 23 inches.
olve for x: 3(x + 1) = −2(x − 1) + 6.
A line with a slope of 2 passes through the point (2,4). what is its equation in slope-intercept form?
Answer:
y = 2x + 0
Step-by-step explanation:
There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?
Answer:
The answer is 576 seats
Step-by-step explanation:
3 rows x 12 seats = 36 seats in one section
36 seats in one section x 16 sections = 576 seats
At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better deal?
Answer:
6 bags for $25
Step-by-step explanation:
25/6 = 4.16666666667 = $4.17 per bag
35/8 = 4.375 = $4.37 per bag
The better deal for the bags of apples is at the market
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.
At the market:
Price of 6 bags of apples = $25
Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)
At the orchard:
Price of 8 bags of apples = $35
Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)
Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.
Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.
To learn more about equations click :
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Mind lending me a hand
Answer:
54
Step-by-step explanation:
55 + 74 + 78 + z + z + 45 = 360
252 + 2z = 360
2z = 108
z = 54
Answer: 288
Step-by-step explanation:
78+74+55=207
The degree of a pentagon is 540°
so 540-207=333
so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...
The age at which a person can be tried as an adult
Answer:
giyi
Step-by-step explanation:
Please I need help does anyone know a hack for khan academy
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
Juan works at a health food store
two hours a day, three days a
week. His weekly pay is $73.50.
About how much does Juan make
per hour?
Give me the right answer and I’ll mark your answer the brainliest
Answer:
12.25 per hour
Step-by-step explanation:
have a great day!
The answer is 12.25.
I'm sure about the answer.
cuantas combinaciones de 5 cifras se pueden hacer con los sig numeros 1,2,3,4,5
Responder:
Hay 120 combinaciones posibles
S+f=24 s=3f
I need this now
Answer:
f=6 and s=18
Step-by-step explanation:
Let's solve your system by substitution.
s+f=24;s=3f
Rewrite equations:
s=3f;f+s=24
Step: Solves=3ffor s:
s=3f
Step: Substitute3fforsinf+s=24:
f+s=24
f+3f=24
4f=24(Simplify both sides of the equation)
4f
4
=
24
4
(Divide both sides by 4)
f=6
Step: Substitute6forfins=3f:
s=3f
s=(3)(6)
s=18(Simplify both sides of the equation)
Answer:
f=6 and s=18
PLEASE HELP!!
Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. What are the prices for the gloves and hats? Write a system of equations!
Answer:
2g + 4h = 43
2g + 2h = 30
Step-by-step explanation:
Answer:
pairs of gloves = x
hats = y
2x + 4y = 43
2x + 2y = 30
hats = $6.50
gloves = $8.50
Step-by-step explanation:
use the elimination method to solve this system.
subtract the first equation by the second.
2x + 4y = 43
- 2x + 2y = 30
--------------------
2y = 13
y = 6.5
plug in the y value to find x
2x + 4 (6.5) = 43
2x + 26 = 43
2x = 17
x = 8.5
The first equation in a system is 5x + 2y = –4. Which equation gives a system with no solution? A. y = 2x + 6 B. y = 1/4x – 2 C. y = 2x + 7 D. y = –5/2x – 3
Given:
The first equation of the system of equations is
[tex]5x+2y=-4[/tex]
To find:
The equation that gives a system with no solution.
Solution:
We have,
[tex]5x+2y=-4[/tex]
It can be written as
[tex]2y=-5x-4[/tex]
[tex]y=\dfrac{-5x-4}{2}[/tex]
[tex]y=-\dfrac{5}{2}x-2[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-\dfrac{5}{2},b=-2[/tex]
It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.
Slope of parallel lines are same but the y-intercepts are different.
From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.
The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].
Therefore, the correct option is D.
Adeel and shayan are given money in the ratio 4:5 if adeel has RS 1179 after the adjustment, how much did he have in the original share out
Answer:
$2652.75
Step-by-step explanation:
Let b represent the original amount shared out
The equation representing how much adeel received is
4/9 x b = RS 1179
To find b, divided both sides by 9/4
b = $2652.75
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
Para abastecer o seu carro com 30 litros de gasóleo a Inês demorou 1 minuto e 40 segundos. Com a mesma mangueira, quanto tempo é necessário para encher um recipiente com a forma de um cone e uma semiesfera com 10 cm de raio e, o cone, com 10 cm de altura?
Answer:
hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh
what is 3v+h v=5 h=10 which is what
Answer:
25
Step-by-step explanation:
3(5)+10 = 15 + 10 = 25
Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?
Find the value of x for brainliest
Answer:
x=27.5
Step-by-step explanation:
x/4=55/8
Cross multiply:
8x=220
Divide:
8x/8=220/8
x=27.5
Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm
area= b*h
82.* 16.6
area= 1361.2 since i dont know the number after the decimal in 82. that was the only answer i could give