Answers
Hello!
BC // AB => Thalès
AB/AC = AE/AD = BE/CD
3/(3+8) = AE/(AE+10)
3/11 = AE/(AE+10)
3/11 = AE/(AE+10)
3/11 * (AE+10) = AE/(AE+10) * (AE+10)
(3AE + 30)/11 = AE
(3AE + 30)/11 * 11 = AE * 11
3AE + 30 = 11AE
30 = 11AE - 3AE
30 = 8AE
AE = 30/8
AE = 3.75
AE ≈ 3.8
The answer is AE = 3.8Related Questions
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answers
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
Susie works as a mail clerk. She earns 8.125 and hour and worked 35.525 hours last week. What is her straight time pay
Answers
Answer:
Total pay=$288.64
Step-by-step explanation:
Giving the following information:
Hourly rate= $8.125
Number of hours worked= 35.525
To calculate the total pay of the week, we need to use the following formula:
Total pay= hourly rate * number of hours worked
Total pay= 8.125*35.525
Total pay=$288.64
What percent of the front page is taken up by the
prom story, including the prom photograph?
A. 20%
B. 22%
C. 25%
D. 45%
E. 60%
Answers
The percent of the front page taken up by the prom story is 20%
Calculating the percent of the front page taken up by the prom storyFrom the question, we have the following parameters that can be used in our computation:
The front page
From the front page, we have
Area front page = 5 * 4
Area front page = 20
Also, we have
Prom = 2 * 2
Prom = 4
So, we have
Percentage = 4/20 * 100%
Evaluate
Percentage = 20%
Hence, the percent of the front page taken up by the prom story is 20%
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What is the volume of the sphere below
Answers
Answer:
A.) \(\frac{500}{3} \pi units^3\)
Step-by-step explanation:
To find the volume of the sphere, you need to use the following equation:
\(V= \frac{4}{3} \pi r^3\)
In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.
\(V= \frac{4}{3} \pi r^3\) <----- Volume equation
\(V= \frac{4}{3} \pi (5)^3\) <----- Plug 5 into "r"
\(V= \frac{4}{3} \pi (125)\) <----- Solve 5³
\(V= \frac{500}{3} \pi\) <----- Multiply \(\frac{4}{3}\) and 125
Answer:
\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)
Step-by-step explanation:
Volume of a sphere
\(\sf V=\dfrac{4}{3} \pi r^3\)
(where r is the radius)
From inspection of the given diagram:
r = 5 unitsSubstitute the value of r into the equation and solve for V:
\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)
What is the value of the expression when a = 2 and b = 3 ? 4a + b - 2 Question 1 options: 7 9 12
Answers
Answer:
9
Step-by-step explanation:
4 * 2 + 3 - 2 =
= 8 + 1 =
= 9
James and Alex recorded the hours they worked and the amount of money they earned in the tables below. Which statement is true?
Group of answer choices
No answer text provided.
James earned $13 per hour, and Alex earned $12 per hour.
They both earned the same amount of money per hour.
James earned $12 per hour, and Alex earned $13 per hour.
Answers
James earned a $13 per hour rate and Alex earned a $12 per hour rate thus option (A) is correct.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change concerning time.
For example the speed 3meter/second.
As per the given number of hours and money earned table.
For James,
Rate of change or earned per hour = 26/2 = $13
For Alex,
Rate of change or earned per hour = 36/3 = $12
Hence "James earned a $13 per hour rate and Alex earned a $12 per hour rate".
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A triangle is equilateral if
sides are the same length.
I need help please
Answers
Answer:
all 3
Step-by-step explanation:
The length of a pool is 4 yards less than twice the width. If the pool's perimeter is 232 yards, what is the width of the pool (in yards).
Answers
Answer:
length is 76 yard, width is 40 yard
Step-by-step explanation:
232/2=116
let x be width, and y be length.
2x-4=y
x+y=116
x+(2x-4)=116
x=40
40+y=116
y=76
have a nice day
I am lost on this question i found both but it keeps on telling me i am incorrect
Answers
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
Plz help me ASAP it’s important
Answers
Answer:
D. 6.3
Step-by-step explanation:
Well you can make a triangle with the line PQ with it's height as 2 and base as 6.
Then you can use the Pythagorean Theorem to find the length of PQ.
a²+b²=c²
2²+6²=c²
4+36=c²
40=c²
c²=40
Square root both sides
c=\(\sqrt{40}\)
c≈6.3
Our answer is D. 6.3
plz help me I'm about to cry
Answers
Answer:
yyy i will help....... dont cry
Find three solutions for this linear function and choose the correct graph by clicking on it. F(x) = x + 3
Answers
Answer: The picture that shows 0,3 and 0,3.
They are points on the graph that show the function
Step-by-step explanation: I know because I just did this. I passed!!!
help me plsi have 7 mins to complete this test
Answers
Answer:
Step-by-step explanation:
the second one
Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
Latex: 4x^2+7x-20=0
4
x
2
+
7
x
−
20
=
0
Step 1: Latex: x=\frac{-7\pm \sqrt{7^2-4(1)(20)}}{2(4)}
x
=
−
7
±
√
7
2
−
4
(
1
)
(
20
)
2
(
4
)
Step 2: Latex: x=\frac{-7\pm \sqrt{49-80}}{8}
x
=
−
7
±
√
49
−
80
8
Step 3: Latex: x=\frac{-7\pm \sqrt{-31}}{8}
x
=
−
7
±
√
−
31
8
Step 4: Latex: x=\frac{-7\pm i\sqrt{31}}{8}
x
=
−
7
±
i
√
31
8
Richard's Equation and Method
Latex: x^2-6x+8=0
x
2
−
6
x
+
8
=
0
Step 1: Latex: x=\frac{6\pm \sqrt{(-6)^2-4(1)(8)}}{2(1)}
x
=
6
±
√
(
−
6
)
2
−
4
(
1
)
(
8
)
2
(
1
)
Step 2: Latex: x=\frac{6\pm \sqrt{36-32}}{2}
x
=
6
±
√
36
−
32
2
Step 3: Latex: x=\frac{6\pm \sqrt{4}}{2}
x
=
6
±
√
4
2
Step 4: Latex: x=\frac{6+\sqrt{4}}{2}
x
=
6
+
√
4
2
and Latex: x=\frac{6-\sqrt{4}}{2}
x
=
6
−
√
4
2
Step 5: Latex: x=\frac{6+2}{2}
x
=
6
+
2
2
and Latex: x=\frac{6-2i}{2}
x
=
6
−
2
i
2
Step 6: Latex: x=4
x
=
4
and Latex: x=3-i
x
=
3
−
i
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Number your responses from 1 to 3 so your instructor can tell which question you're responding to. You may not receive full credit if your teacher cannot determine that you've answered each question.
Search entries or author
Answers
The mistake each student made and what each student needs to do to fix their mistake is;
Amy didn't include the negative sign for the 20, so she should include itRichard added a negative sign underneath the radicalQuadratic equationx² - 6x + 8 = 0
x = - b ± √b² - 4ac / 2a
where,
a = 1b = -6c = 8x = - b ± √b² - 4ac / 2a
= -(-6) ± √(-6)² - 4(1)(8) / 2(1)
= 6 ± √36 - 32 / 2
= 6 ± √4 / 2
= 6 ± 2 / 2
x = 6/2 + 2/2 or 6/2 - 2/2
= 3 + 1 or 3 - 1
x = 4 or 2
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Gina was working in the laboratory on an experiment involving the population of bacteria. If her initial starting amount in a petri dish was 125 bacteria, how many would be in the petri dish after 24 hours?
Answers
Answer:
It would be a lot of bavgeria
Answer:
450000
Step-by-step explanation:
125×(60×60)
=125×3600
=450000
a produce store sells 63 apples if the ratio of red apples to green apples was sold was 7 to 2 what is the combined amount of red apples and Green Apple sold
Answers
here is the answer I just took a picture because I already answered this for someone eles
Answer:
49 red apples and 14 green apples
Step-by-step explanation:
63 divided by (7+2) equals 7, 7 times 7 equals number of red apples and 7 times 2 equals the number of green apples
12/14 , 15/, 19/24 which one is greater?
Answers
Step-by-step explanation:
12/14= 85.7143% 19/24= 79.1667%
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
Answers
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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The area of a rectangular field is 5893 yd?. If the width of the field is 71 yards, what is its length?
Answers
83 yards, I hope this helped!!
can someone help plsss ??
Answers
Using congruent angles theorem, we can find that the angles that are adjacent to ∠LSP are ∠4 and ∠6.
What are congruent angles?Angles with an equal measure are considered congruent angles. They appear everywhere, including in isosceles and equilateral triangles, as well as when a transversal connects two parallel lines.
The term "adjacent angles" refers to angles that do not overlap but share a common arm (side). When two rays intersect at a shared endpoint, an angle is created. Angles that are always located next to one another are called neighbouring angles. Two neighbouring angles are referred to as a linear pair of angles when their sum is 180 degrees.
Now, according to the question,
The angles that are adjacent to ∠LSP must share a common vertex and a common arm.
Now, the common arm between ∠4 and ∠LSP is line LM.
The common arm between ∠6 and ∠LSP is line NP.
And all have a common vertex.
Hence, the angles that are adjacent to ∠LSP are ∠4 and ∠6.
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Write an equation of the line that passes through (2,3) and is perpendicular to the line shown
Answers
Answer:
(2,3)
Step-by-step explanation:
(2,3) is your answer
Answer:
y=3x-3
Step-by-step explanation:
OMG PLEASE I BEG I NEED HELP 5th grade math
Answers
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
Answers
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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174 people ate lunch at Alice’s restaurant yesterday, and 1/3 of them had dessert. How many people had dessert after lunch?Explain how you got your answer. (90 points!!!)
Answers
Answer:
58 people
Step-by-step explanation:
174 people ate lunch.
1/3 of the 74 people had dessert after lunch.
Multiplying 1/3 and 174.
1/3 × 74
= 58
58 people had desert after lunch.
Answer:
\(\boxed{ 58\ people}\)
Step-by-step explanation:
People who ate lunch = 174 people
People among among them who had desserts = 1/3 of the total
(Remember "of" means to "multiply")
=> 1/3 * 174
=> 1 * 58
=> 58 people
HELP ME PLEASE!!!!!!!!!!!!
Answers
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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find the value of x in the figure given then find the measure of angle y
Answers
Answer:
x = 33
Angle Y = 105°
Explanation:
The sum of the interior angles of a polygon with 5 sides is equal to 540°. So, we can write the following equation:
4x + 113 + (3x+8) + (2x + 9) + 113 = 540
So, solving for x, we get:
4x + 113 + 3x + 8 + 2x + 9 + 113 = 540
9x + 243 = 540
9x + 243 - 243 = 540 - 243
9x = 297
9x/9 = 297/9
x = 33
Then, using the value of x, we can calculate the value of the angle with measure (2x + 9) as:
(2x + 9) = 2(33) + 9
(2x + 9) = 75
Finally, this angle and the angle Y are supplementary, the sum of them is equal to 180°, so the measure of angle Y can be calculated as:
(2x + 9) + Y = 180°
75° + Y = 180°
Y = 180° - 75°
Y = 105°
So, x is equal to 33 and the measure of angle Y is 105°
Sammy was playing Games with Alex. The ratio of games Sammy won was to the number of games Alex won was 9 to 5. If Sammy won 36 games, how many games did Alex win?
Answers
Use the following functions to evaluate the composition of functions below
Answers
When we have two functions f(x) and g(x) the composition is just evaluating one function in the other one.
Here the solution is: k( l(2) ) = 5
We have the functions:
k(x) = 2*x + 3
l(x) = x - 1
We want to get the composition:
k( l(2))
Let's start with the general composition, and then evaluate it:
k( l(x) ) = 2*l(x) + 3 = 2*(x - 1) + 3
k( l(x) ) = 2*(x - 1) + 3
Now we need to evaluate it in x = 2, then we get:
k( l(2) ) = 2*(2 - 1) + 3 = 2 + 3 = 5
k( l(2) ) = 5
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Look first at problem then answer 2-6
NO SPAM and EMERGENCY PROBLEM
Answers
3) 113.1 = Area
4) You would need to adjust how many number places of pi you use for how huge the number you need to calculate for.
5) To write an exact number for an irrational expression you need to calculate then round to the nearest hundredths after you get the number for either radius, diameter, or area. To find the approximate value you only use the minimum numbers such as 3.14 instead of 3.14159...
6) How this helped me better estimate the value of an irrational expression is by using more numbers for every extra number place the circle has in the diameter.
The ratio of the lengths of 3 squares of different sizes is 2:4:7. If the length of the biggest
square is 10 cm longer than the smallest square, find the perimeter of the smallest square.
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.
The perimeter of the smallest square is 16 cm.