Answer:
80 000
Step-by-step explanation:
1 cm : 20 000 (The question does not state the unit of the other half)
So
4 cm : 4×20 000
4 cm : 80 000
I'm not sure about units but hope this helped and brainliest please
Answer:
80 000 meters
Step-by-step explanation:
In the map:
1 cm = 20000 m
4 cm = 4(20000) = 80 000 meters
4 cm on the map represents 80 km in reality.
Hope this helps
Consider a triangle ABC like the one below. Suppose that a = 31, b = 23, and c = 20. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
How to solve the triangle?The figure is not given;
However, the question can still be solved without it
The given parameters are:
a = 31, b = 23, and c = 20
Calculate angle A using the following law of cosine
a² = b² + c² - 2bc * cos(A)
So, we have:
31² = 23² + 20² - 2 * 23 * 20 * cos(A)
Evaluate
961 = 929 - 920 * cos(A)
Subtract 929 from both sides
32 =- 920 * cos(A)
Divide both sides by -920
cos(A) = -0.0348
Take the arc cos of both sides
A = 92.0
Calculate angle B using the following law of sine
a/sin(A) = b/sin(B)
So, we have:
31/sin(92) = 23/sin(B)
This gives
31.0189 = 23/sin(B)
Rewrite as:
sin(B) =23/31.0189
Evaluate
sin(B) =0.7415
Take arc sin of both sides
B = 47.9
Calculate angle C using:
C = 180 - 92.0 - 47.9
Evaluate
C = 40.1
Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
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#18 please I’m not good at math at all
Answer:
The answer is in the picture.
Step-by-step explanation:
By hand, you can factor it. I did it on a website called Cymath.
Answer:
3x(y - 3)(y + 1)
Step-by-step explanation:
Factor 3x out of 3xy^2
Factor 3x out of -6xy
Factor 3x out of -9x
Factor 3x out of 3x(y^2)+3x(-2y)
Factor 3x out of 3x(y^2-2y) + 3x(-3)
At a certain college, 49% of the students are female, and 21% of the students major in civil engineering. Furthermore, 8% of the students both are female and major in civil engineering.
The probability that a student is a female or major in civil engineering is 62%
Complete questionAt a certain college, 49% of the students are female, and 21% of the students major in civil engineering. Furthermore, 8% of the students both are female and major in civil engineering. What is the probability that a randomly selected female student majors in civil engineering?
How to determine the probability?Let A represent Female and B represents civil engineering.
The above representation means that the given parameters are:
P(A) = 49%P(B) = 21%P(A and B) = 8%The required probability is calculated as:
P(A or B) = P(A) + P(B) - P(A and B)
This gives
P(A or B) = 49% + 21% - 8%
Evaluate
P(A or B) = 62%
Hence, the probability that a student is a female or major in civil engineering is 62%
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A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.
What was the original height of the water in the pool in feet?
4.5
5.0
6.5
7.0
An equation is formed of two equal expressions. The original height of the water in the pool in feet is 5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation, 4.75 = x + (-0.25) can be used to find x, the original height of the water in a pool. Therefore, the height of the fool in the beginning is,
4.75 = x + (-0.25)
4.75 + 0.25 = x
x = 5
Hence, the original height of the water in the pool in feet is 5.
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1. Desde el pie de un edificio se observa la parte superior de una torre con un ángulo de elevación de 45°. Desde la azotea del mismo edificio se observa la cúspide de la torre con un ángulo de depresión de 60°. El edificio es 20 m. más alto que la torre. Determinar ambas alturas.
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
¿Cómo determinar la altura de dos edificios?
En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:
Diferencia entre las alturas del edificio y el torre
20 = r₁ · sin 60°
r₁ ≈ 23.094 m
Ahora determinamos el valor de r₂ mediante identidades trigonométricas:
r₂ = r₁ · (cos 60°/cos 45°)
r₂ = (23.094 m) · (cos 60°/cos 45°)
r₂ ≈ 16.330 m
Finalmente, obtenemos las alturas de cada edificio:
Torre
h = (16.330 m) · sin 45°
h ≈ 11.548 m
Edificio
h' = h + 20 m
h' = 11.548 m + 20 m
h' = 31.548 m
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
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This is Raoul’s solution for the equation x^2-6x-27=0:
STEP 1: x^2-6x-27=0
STEP 2: x^2-6x-27+27=0+27
STEP 3: x^2-6x+?=27+?
STEP 4: x^2-6x+9=27+9
STEP 5: 〖(x-3)〗^2=36
STEP 6: √[(x-3)^2]=√36
STEP 7a: x-3=36
STEP 8a: x=39
STEP 7b: x-3=-36
STEP 8b: x=-33
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
x² - 6x - 27 = 0
Adding 27 to both sides:
x² - 6x - 27 + 27 = 0 + 27
x² - 6x = 27
Adding to both sides the square of half the coefficient of x, that is 9:
x² - 6x + 9 = 27 + 9
(x - 3)² = 36
taking square root of both sides:
√(x - 3)² = √36
x - 3 = ±6
x = 3 ± 6
x = 3 + 6 or; x = 3 - 6
x = 9; or x = -3
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
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Question 3
Points 2
Answered On: 06/15/2022 09:40 AM
A boa constrictor slithers 1/3 feet in 3/4 second. What is its speed in terms of
feet per second?
Reset
Reset
comp
Answer:
18 inches = 1.5 feet
8 inches = 2/3 foot
y = 1.5 + (2/3)x
Which of the following points could be the initial point of vector v if it has a
magnitude of 10 and the terminal point (-3,3) ?
(-9,-5)
(-13,-7)
(0,2)
(-0.3,0.3)
The initial point of vector v if it has a magnitude of 10 and the terminal point (-3,3) is option B (-9,-5).
How to find the vector component?If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The magnitude of 10 and the terminal point (-3,3).
v = ai + bj
v = [tex]\sqrt{a^2 + b^2}[/tex]
10 = [tex]\sqrt{a^2 + b^2}[/tex]
AB = (-3 - a)i + (3 - b)j
If we put (-9,-5)then
AB = (-3 - a)i + (3 - b)j
AB = (-3 + 9)i + (3 + 5)j
AB = 6i + 8j
Put the value in the vector magnitude
10 = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{6^2 + 8^2}\\\\\sqrt{36+ 64}\\\\\sqrt{100}[/tex]
10 = 10
Thus, The correct option is B (-9,-5).
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[tex]\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )[/tex]
Answer: 103/15
Step-by-step explanation:
We can simplify the right-hand side to be [tex]2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}[/tex].
This means we need to solve:
[tex]\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}[/tex]
In a school,The ratio of the number of boys to the number of girls is 8:5. One quarter of the boys and 1/15 of the girls wear glasses. When another 48 students who wear glasses join the school,the total number of students becomes 216. How many boys wore glasses at first?
Answer:
hi look here https://www.louisianabelieves.com/docs/default-source/assessment/grade-6-answer-key.pdf?sfvrsn=293b981f_2
Step-by-step explanation:
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.
What is the domain of the function?
x < 0
x > 0
x < 1
all real numbers
The domain of the function is x > 0.
The correct option is (B)
What is domain of function?Domain of a function is defined by the set of x-values of the graph of a function.
as, domain of a function is defined by the set of x-values of the graph of a function.
From the graph we can see that,
x-values are starts from x > 0 [Since x ≠ 0]
Also, moves towards infinity,
Hence, domain of the function be, (0, ∞) or x > 0
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Answer:
B
Step-by-step explanation:
Please help me with this!
Answer:
Yes, x = 0 is a solution to the given equation
Step-by-step explanation:
[tex]1^3+1(1-1)=1-x^2[/tex] (Given)[tex]L.H.S.=1^3+1(1-1)[/tex] [tex]= 1 +1(0)[/tex] [tex]= 1+0 [/tex] [tex]=1[/tex] [tex]R.H.S. =1-x^2[/tex] [tex]=1-(0)^2[/tex] (Plug x = 0)[tex]=1-0[/tex] [tex]=1[/tex] [tex]\implies L.H.S. = R.H.S.[/tex]Thus, x = 0 is a solution to the equation [tex]1^3+1(1-1)=1-x^2[/tex]Hi Student!
The goal of this question is to determine x = 0 is a solution of the expression that was provided. The first step that we must take is input 0 into all of the x's that we have in the expression. Then we just simplify both sides and determine if the end expression is true and if it is then x = 0 is a solution.
Plug in the values
[tex]1^3 + 1(1 - 1) = 1 - x^2[/tex][tex]1^3 + 1(1 - 1) = 1 - (0)^2[/tex]Simplify both sides
[tex]1^3 + 1(0) = 1 - 0[/tex][tex]1 + 0 = 1[/tex][tex]1 = 1[/tex]Looking at the final expression, we can see that 1 is indeed equal to 1 and since the expression is true, we can say that x = 0 is a solution of the expression that was provided in the problem statement.
Here are two fractions.
7/6
6/7
Work out which of the fractions is closer to 1
You must show your working.
Here are two fractions.
The correct answer is 6 / 7 as it is closer to 1.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
The number near 1 will be calculated as:-
7/ 6 = 1.1666
6 / 7 = 0.8571
Difference of the first ratio from one.
1.1666 - 1 = 0.1666
Difference of the second ratio:-
1 - 0.8571 = 0.1429
So the difference of 6 / 7 is lower than the difference of the fraction 7 / 6 from one.
Therefore the correct answer is 6 / 7 as it is closer to 1.
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A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1102in^3, what were the original dimensions of the piece of metal?
The length and width of the piece of metal are 20 and 30 inches respectively.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Dimension of the rectangle;
Width(w)
Length,L= 10 + w
volume of the box = length * width * height
Dimension of the box;
length of box, (x + 10) - 4 = x + 6
width of box,(x - 4)
height of box = 2
The volume of the box is 1102 in³;
⇒V=lwh
⇒V=2 (x -4)( x + 6) =
⇒1102 in³ = 2x² + 4x - 48
⇒2x² + 4x - 880 = 0
⇒x + 2x - 440 = 0
⇒(x + 22)(x - 20) = 0
⇒x = 20
⇒x=-22 (value of the dimesion will not be negative.
The width of an original piece of metal is;
Width,w=20 inches
length,l= 30 inches
Hence. the length and width of the piece of metal are 20 and 30 inches respectively.
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Volume of a cube with a side length of 18.8m
Answer:
[tex]6644.672~ m^3[/tex]
Step-by-step explanation:
[tex]\text{Volume} = (18.8)^3~ m^3 = 6644.672~ m^3[/tex]
PLEASE I NEED THE ANSWER (JUST THE ANSWER)
Which is an x-intercept of the continuous function in the table ? (0, - 6); (3, 0); (- 6, 0) O (0, 3)
An x-intercept of the continuous function in the table is (-1, 0)
Intercept of a lineThe x-intercept of a line is the point where the line crossed the x-axis or the point where the value of y is zero.
From the table, the x-intercept are all the point where the value of f(x) is zero. Hence the Which is an x-intercept of the continuous function in the table is (-1, 0)
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Find a coterminal angle between 0° and 360°.
780
for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.
Tasty Goodies Bakery recorded the desserts that were recently sold.
chocolate croissants 1
cookies 1
brownies 10
slices of pie 12
Considering this data, how many of the next 78 desserts sold should you expect to be slices of pie?
slices of pie
Answer:
36
Step-by-step explanation:
possibility of slices of pie is 12/24, = 1/2
78 desserts, how much i expect is slices of pie
78*(1/2) = 36
We should expect about 39 of the next 78 desserts sold to be slices of pie.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Out of 24 desserts sold, 12 were slices of pie.
Therefore, the proportion of slices of pie sold is 12/24 = 1/2.
To estimate the number of slices of pie in the next 78 desserts sold, we can multiply the proportion of slices of the pie by the total number of desserts sold:
(1/2) x 78 = 39
Therefore,
We should expect about 39 of the next 78 desserts sold to be slices of pie.
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A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area.
Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.
What is lateral and surface area of the regular hexagonal prism?For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:
Lateral Area = 6a × h
Surface Area = 6ah + 3√3a²
Where a is base edge and h is height.
Given that;
Base edge length a = 4cmHeight h = 7cmThe Lateral Area of the regular hexagonal prism will be;
Lateral Area = 6a × h
Lateral Area = 6( 4cm ) × 7cm
Lateral Area = 24cm × 7cm
Lateral Area = 168cm²
The Surface Area of the regular hexagonal prism will be;
Surface Area = 6ah + 3(√3)a²
Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²
Surface Area = 168cm² + 3(√3)16cm²
Surface Area = 168cm² + 83.138cm²
Surface Area = 251.138cm²
Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.
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gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of 40square inches. it has the same width as the first painting. What is the kength of the second painting?
Answer:
5 inches
Step-by-step explanation:
the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5
what is the volume of the rectangular prism each is 1/3
Answer:
The answer is 7
Step-by-step explanation:
To find the volume you multiply the width, height, and the length.
Length= 7/3
width= 3/3
height= 9/3
When you multiply you then have to simplify which is 7/1 or 7.
Mark this correct to help me gain!!
12.simplify the following expression
21q + 5/2(3/2) + 4q -5
Answer:
i think the answer is 25q - 5 / 4
If f(x)=x2−4x+4 , then f(3)=
Answer:
f(3) = 1
Step-by-step explanation:
substitute x = 3 into f(x) , that is
f(3) = 3² - 4(3) + 4 = 9 - 12 + 4 = 1
Answer:
1
Step-by-step explanation:
Substitute 3 for x in your equation leaving you with (3)^2-4(3)+4.
9-12+4
-3+4=1
Pls help me I need answers in summer school teachers won’t help!!
Answer:
21. x = 18.1
22. x =28.7
Step-by-step explanation:
SOH = sin(theta) = opp/hyp
CAH = cos(theta) = adj/hyp
TOA = sin(theta) = opp/adj
21. You would be using tangent.
tan(theta) = Opp/Adj
tan(32°) = x/29
x = 29 * tan(32°)
x = 18.1
22. You would be using cosine
cos(theta) = Adj/Hyp
cos(43°) = 21/x
x * cos(43°) = 21
x = 21 / cos(43°)
x = 28.7
Use a Calculator to help you solve for those side lengths or degrees.
If you were to search of SOHCAHTOA online and find an image you would be able to see their example problem done using
SOHCAHTOAI am not sure if I am allowed to use an online example image since I got warned for some reason without explanation to the warning.
Solve for x in the triangle. Round your answer to the nearest tenth.
X
5
22°
Please help I will mark Brainly
The function fis defined as follows.
f(x)=2x²+3
If the graph of fis translated vertically downward by 6 units, it becomes the graph of a function g.
Find the expression for g(x).
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
How to Interpret Graph Translations?
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
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is the U.S. ever on sale to canadians?
Answer:
No because Us is powerful country canada is also powerful but U S ever sale to candians
simplify (4x^3)^2 (3x)^5
Answer:
(4x³)² (3x)⁵ = 3888x¹¹Step-by-step explanation:
(4x³)² (3x)⁵ = 4²(x³)² (3)⁵(x)⁵
= 16x⁶ (243)x⁵
= (16 × 243) (x⁶ × x⁵) [commutative property]
= (3888) (x¹¹) [exponent property]
= 3888x¹¹