If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.
0.74 units
1.17 units
1.64 units
2.14 units
Answers
Answer:
2.14 units
Step-by-step explanation:
TO FIND AB:
sin 34=AC/AB
AB=AC/sin34=4/sin34=7.15
TO FIND AD:
sin 53=AC/AD
AD=AC/sin53=4/sin53=5.00
difference in length:
AB-AD=7.15-5.00=2.14 units
Answer:
the answer is 2.14 units
Step-by-step explanation:
took the test and got it right
Brainliest pls
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Round 57,824,279 to the nearest ten-million.
57,824,279 rounded to the nearest ten-million is
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Answer:
60,000,000
Step-by-step explanation:
5 and up - round up
4 and down - round down
You can see 7, so we round up.
57,824,279 is rounded to 60,000,000
Let me know if I'm wrong!
Answer:
57,824,279 to the nearest ten million is 60,000,000
Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.
Step-by-step explanation:
A circular crop field has an irrigation system in which a pipe, with one end attached to a tower at the center of the field, turns continuously to deliver water. The horizontal distance, in meters, from the tip of the pipe to the farmhouse is represented by y = Equals 400 sine (StartFraction pi Over 8 EndFraction x + pi) + 500, where x represents time in hours.
What does the amplitude of this function represent?
A.the length of the pipe
B.the distance between the tower and the farmhouse
C.the time it takes for the pipe to complete one full circle
D.the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
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Answer:
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Step-by-step explanation:
Write an equation for the line parallel to g(x) = 4x + 5 and passing through the point (10,7). Write the answer in slope-intercept
form.
Answers
Answer:
y=4x-33
Step-by-step explanation:
the slope for parallel lines is the same so it would be 4
(y-y₁)=m(x-x₁)
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1) Qual a área lateral do prisma triangular regular, cuja aresta da base mede 5 cm e a altura 10 cm ? *
1 ponto
Imagem sem legenda
a) 50 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
2) Um prisma triangular regular tem a aresta da base igual à altura. Calcular a área total do sólido, sabendo-se que a área lateral de uma das faces é 10 m². *
1 ponto
a) 5 (√3 + 6) m²
b) 2√3 + 36 m²
c) 56 m²
d) 2 (√3 + 6) m²
Answers
Answer:
1) c) 150 cm²
2) a) 5 (√3 + 6) m²
Step-by-step explanation:
1) A fórmula para a área lateral do prisma triangular regular é
L.A = Perímetro × Altura
Perímetro = 3 × borda da base
L.A = 3 × 5 cm × 10 cm
L.A = 150cm²
Opção c. 150cm² é a opção correta²
2) Diz-se na pergunta que a área lateral de uma das faces = 10m²
A área lateral de todo o prisma = 3 × 10m²
= 30m²
Onde a borda da base = altura
A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base
Portanto, Altura = √10m
= Borda da base = √10m
A área de superfície total de um prisma triangular é:
2B + Ph
Ph = área de superfície lateral
B = Área de Base
2 (Área da Base) = 2( Borda da Base² × √3/4)
2 (Área da Base) = 2((√10)² × √3 / 4)
2 (Área de Base) = 2(10√3/4)
= 20√3/4
2 (Área da Base) = 5√3 m²
A área de superfície total de um prisma triangular é:
2B + Ph
= 5√3 m² + 30 m²
= 5 (√3 + 6) m²
Miss Rockwell surveyed her class and found that 12 out of 30 students chose peaches as their favorite fruit write the number of students who chose peaches as a fraction in the simplest form then write the fraction as a decimal
Answers
Answer: 8282828
Step-by-step explanation: I’m not sure
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up here’s the answer ima do the work then ik giveu it
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Answer: A) a translation 3 units down
Step-by-step explanation: Notice how your y-values are decreasing by 3.
y-values only increase or decrease, so if they’re decreasing, they are going down.
Hope this helps!
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
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Answer the answer to your question is $7.50
X - y/2z=3 solve for x
Answers
Answer:
x = 1 /2 yz + 3
Step-by-step explanation:
The solution of x is 6z.
To find the solution of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given that:
A value or values which, when substituted for a variable in an equation, make the equation true.
x-y/2z = 3
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Answer:
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Step-by-step explanation:
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Hope this helps
Answer:
c.
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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one hour is 60 minutes.
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Chris claims that any fraction located between 1/7
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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6
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Answer:
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Step-by-step explanation:
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Answer:
if (x-5) is an exponent: the answer is 8
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
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Answers
Answer:
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Step-by-step explanation:
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Answers
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The step-by-step explanation is below.
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1
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Answers
Answer:
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Step-by-step explanation:
Formala: multiply the mass value by 100
Answer:
1,000g
Step-by-step explanation:
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Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good explanation plz)
Answers
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.
Step-by-step explanation:
An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?
Answers
Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.
To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.
Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".
We know that the area of a triangle is given by the formula:
Area = (1/2) x base x height
So, we can rearrange this formula to solve for the height:
height = 2 x Area / base
Now we can substitute in the values we know:
Area = 8,712 square feet
base = unknown
height = unknown
We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:
base = 2s
We can use the Pythagorean theorem to find the height in terms of s:
s² + (h)² = (2s)²
s² + h² = 4s²
h² = 3s²
h = s x √(3)
Now we can substitute this expression for the height in terms of s into the formula we derived for the area:
Area = (1/2) x base x height
Area = (1/2) x 2s x s x √(3)
Area = s² x √(3)
We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:
s² x √(3) = 8,712
s² = 8,712 / √(3)
s = √(8,712 / √(3))
Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:
base = 2s
base = 2 x √(8,712 / √(3))
Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))
Area = 2 x 8,712 / √(3)
Area = 17,424 / √(3)
Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.
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