Answer:
175000 km
Step-by-step explanation:
the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000
Solve the system of equations by substitution.
x + y = A system of equations. StartFraction 3 over 8 EndFraction x plus StartFraction one-third EndFraction y equals StartFractions 17 over 24 EndFraction.
x + 7y = 8
(, )
A will have a value of 2. The value of A is found by the substitutional equation system.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation 1: [tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24}[/tex]
Equation 2: [tex]x+7y=8[/tex]
Rearrange equation 2 as;
x=8-7y
Substitute the value of x;
[tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24} \\\\ \frac{3}{8}(8-7y)+\frac{1}{3}y=\frac{17}{24} \\\\ \frac{-21}{8} y+\frac{1}{3} = \frac{17}{24}-3 \\\\ \frac{-63y+8y}{24}=\frac{17-72}{24}\\\\ \frac{-55 \ y}{24} = - \frac{55}{24}\\\\ y= 1[/tex]
Substitute the value of y in equation 2 as;
x+7y=8
x+7(1)+8
x=8-7
x=1
The system of equations by substitution obtained the value of A is;
x + y = A
1+1=A
A=2
Hence the value of A will be 2.
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Write 5.54 million in ordinary form
Answer:
5,540,000Step-by-step explanation:
Write 5.54 million in ordinary form
5.54 * [tex]10^{6}[/tex] =
5540000
or
5.54 * 1000000 =
5540000
Hey guys. Need help here
The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are
both more than 74 Inches tall and taking honors classes.
If 2 players are randomly selected from the team, what is the probability that both players are more than 74 Inches tall or taking honors classes?
O A.
64
225
O B.
Oc.
O D
169
225
Answer:
A
Step-by-step explanation:
64
Which of the following is correct for determining the length of x to the nearest tenth of a metre?
cos 42 = x/6
tan 48 = x/5
sin 48 = x/5
tan 42 =x/6
The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool, in square feet?
Answer:
[tex]3x^3 + 4x^2 -3x + 2[/tex]
Step-by-step explanation:
The area of the swimming pool will be equal to [tex]length * width[/tex].
We know that the length is [tex]3x^2-2x+1[/tex] and the width is [tex]x+2[/tex].
Therefore we can substitute those into the equation:
[tex](3x^2-2x+1)(x+2)\\[/tex]
Then, we expand the brackets using a grid (attached).
After this, we collect like terms to find the final answer:
[tex]3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2[/tex]
Our final answer is: [tex]3x^3 + 4x^2 -3x + 2[/tex]
can someone please help me
Answer:
Domain: All real numbers
Range: y≤4
What are the y-intercept and the asymptote of g(x) = 4x – 6?
(0, –5); y = –6
(0, –2); y = –4
(0, 4); y = 6
(0, 6); y = 4
The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes
y-intercept and asymptotes of an equationA linear equation is an equation that has a leading degree of 1. Given the equation
g(x) = 4x - 6
The y-intercept occurs at a point where x = 0
g(0) = 4(0) - 6
g(0) = -6
Hence the y-intercept of the line is (0 -6)
The given function has no vertical and horizontal asymptotes
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Which classification describes the following system of equations?
12x+5y-3z= 36
x-2y+4z=3
9x-10y+5z = 27
A consistent and independent system of equations describes the given system of equations.
The consistent and independent system of equations are given below.
12x+5y-3z= 36x-2y+4z=39x-10y+5z = 27What is a consistent independent equation?A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.
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Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:
The true statements are:
Lines mn and pq have the same slopeThe product of the slopes of mn and mp is -1How to determine the true statements?The lines are given as:
Lines mn, pq, mp, mn, nq and pq
From the question, the lines are either parallel lines or perpendicular lines
As a general rule,
Parallel lines have equal slope
This means that:
Lines mn and pq have the same slope
Assume two perpendicular lines have slopes m and n.
The relationship between their slopes is:
m * n = -1
This means that:
The product of the slopes of perpendicular lines mn and mp is -1
Hence, the true statements are (a) and (c)
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Complete question
Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.
Pptions:
Lines mn and pq have the same slopeThe slope of line pq is undefined. The product of the slopes of mn and mp is -1Lines mp and mq are parallel.ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices
The measure of the longest side of ABC is _ units. ABC is_triangle. If ABD is formed with the point D(1,2) as it’s third vertex, then ABD is _triangle . The length of side AD is_units
Part 1
Using the distance formula,
[tex]AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}[/tex]
So, the measure of the longest side is 6 units.
Part 2
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that [tex]AB=\sqrt{34}[/tex]
Using the distance formula,
[tex]AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3[/tex]
So, ABD is a scalene triangle.
Part 3
From part 2, we know that the length of side AD is 5 units.
The area of a rectangular piece of land is 2/3 square mile.
One dimension is 1 1⁄2 miles.
Answer:
4/9 miles
Step-by-step explanation:
[tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]
[tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]
[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]
[tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]
Use KCF method for faction division.
K- Keep the first fraction.
C - Change the division to multiplication.
F - Flip the second fraction.
For doing a certain a Job
Answer:
added in picture
Step-by-step explanation:
added in picture
Answer:
$71,744.53
Step-by-step explanation:
The earnings triple every day, so you can calculate them for the 15 days. For the total, you also have to add them up.
See the calculations in below picture.
3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.
Answer:
3t
Step-by-step explanation:
The algebraic expression to show the number of tomatoes Tye planted this year is 3t
How to write the algebraic expression of Tye?From the first statement given in the question, we were told that:
t is the number of tomatoes Tye planted last yearFrom the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:
Number of tomatoes planted last year = tNumber of tomatoes planted this year =?Number of tomatoes planted this year = 3 × Number of tomatoes planted last year
= 3t
Thus, from the above illustration we can say that the algebraic expression is 3t
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Given: Lines p and q are parallel and r is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7.
A 2-column table with 4 rows. Column 1 is labeled statements with the entries p is parallel to q and r is a transversal, A, B, angle 2 is congruent to angle 7. Column 2 is labeled reasons with the entries given, vertical angles are congruent, correlated angle theorem, transitive property.
Which statements could complete the proof?
A:
B:
The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
What is the Transitive Property?The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
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Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return
The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
According to the question,
Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].
Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
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A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Find the Area of the Space.[tex] \mathbb{SOLUTION:} [/tex][tex] \bold{A = Length \: x \: Width} [/tex][tex] \bold{A = 12 \: ft \: x \: 4.2 \: ft } [/tex][tex] \blue{\bold{A = 50.4 \: ft} }[/tex][tex] \bold{ A\red{ = 50.4 } \: x \: 2 \: ft} [/tex][tex] \boxed{ \bold{ A = 100.80 ft²}}[/tex]"If the 2 is quantity use multiply it again"
••••••••••••••••••••••••••••••••••••••••••••••••NOTE:The way to solve a square area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft2).
"Problem has been solve"
(ノ^_^)ノ
[tex]\large\bold{SOLUTION} \\ [/tex]
GIVEN :-
A square with side lengths 12 feet.4.2 feet by 2 feet squares are cut out of each corner of the square .FIND :-
Find the area of the space that needs to be covered .By finding the area of the space that needs to be covered we must use multiplication and multiply the given measurements .
[tex] \bold{Formula:}[/tex]
[tex] \qquad \boxed{ \bold{ \: \: Area = Length \times Width \: \: }}[/tex]
Now let's start solving :-
[tex] \quad \sf \implies{Area = Length \times Width} \\ [/tex]
[tex] \quad \sf \implies{Area = 12ft \times 4.2ft} \\ [/tex]
[tex] \quad \sf \implies{Area = 12feet \times 4.2ft = \pmb{50.4 ft}} \\ [/tex]
[tex] \quad \sf \implies{Area = 50.4ft \times 2ft = \pmb{100.80ft^2}} \\ [/tex]
Therefore, the area of the space that needs to be covered is 100.80ft² .
[tex] \underline{ \rule{185pt}{3pt}}[/tex]
Match the function with the graph.
a. y = |x+ 5|
b. y= |x-5| + 2
c. y= |x-5|
d. y=|x| -5
i did a and it was wrong. i don’t understand lol please help
C. y= |x-5|
you have the right idea, it's being shifted horizontally so the shift would be shown inside of the brackets. However, it would be |x-5| not |x+5| because the graph is shifting to the right.
a−(−3.75)=6.11
What is a?
Answer:
a = 2.36
Step-by-step explanation:
a-(-3.75)=6.11
The negative 3.75 is being subtracted from the 'a'. A negative number being subtracted from another number makes it positive. So, 3.75 is actually being added to 'a' which is equal to 6.11
I re-wrote the question as:
a + 3.75 = 6.11
Subtract 3.75 from both sides to leave 'a' by itself
a + 3.75 = 6.11
-3.75 -3.75
a = 2.36
1/(x+2)+1/(x+3)=2/x+9
Answer:
4x82x929wjdjdejdjekke
[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]
Hope it helps
Please give brainliest
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.
What is the greatest possible whole-number value of the congruent side lengths?
The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is:
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?
9 cm
10 cm
14 cm
15 cm
We have:
The longest side of an isosceles obtuse triangle measures 20 centimeters.
Let's assume the unknown side length is x:
In the isosceles obtuse triangle, two sides are congruent.
As we know the sum of the two sides in a triangle is greater than the third side length:
x + x > 20
2x > 20
x > 10
a² + b² < c²
14 will satisfy the above two inequaility.
Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
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What is the distance between the tick marks on the number line?
A number line going from 0 to 2 in increments of 1. There are 5 equals spaces between each number.
One-fifth
One-fourth
4
5
Mark this and return
Answer:
1/5
Step-by-step explanation:
2 units divided into 5 marks each = 10 marks
2/10 = 1/5 unit each mark
Is this correct? If not then whats the answer?????
(image below)
Answer:
6
Step-by-step explanation:
Mean no. of runs per game =
= Total no. of runs/ total no. of games
= 9+8+4+0+7+6+4+5+9+8 / 10
= 60 / 10
= 6
Hey can I have help on this question with an explanation please :)
Step-by-step explanation:
i hope this is helpful!........
Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.
Answer:
(b) 8.9 m
Step-by-step explanation:
The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.
__
setupThe height of the object is proportional to its distance from the mirror, so we have ...
(tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)
(tree height)/(2.5 m) = (1.78 m)/(0.5 m)
solutionMultiplying this proportion by 2.5 m, we find ...
tree height = (2.5 m)(1.78/0.5) = 8.9 m
The height of the palm tree is 8.9 meters.
NEED HELP ASAP!! In the figure, AC 1 AB and AB 1 BD.
Answer:
d
By the alternate interior angles theorem,
Angles ABD and BAC will be congruentAngles BAD and ABC will be congruentBy the reflexive property, AB is congruent to itself.
Thus, the triangles will be congruent by ASA.
Solve the equations for the given variable. Then place the equations in the table under the correct solution
Placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
Solving Linear EquationsFrom the question, we are to place the equations under the correct solution
To do this, we will solve the equations one after the other
-14x = -42x = -42/-14
x = 3
-5 + x = -9x = -9 + 5
x = -4
∴ x ≠ 3
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex][tex]x = \frac{12}{5} +\frac{3}{5}[/tex]
[tex]x = \frac{12+3}{5}[/tex]
[tex]x = \frac{15}{5}[/tex]
x = 3
[tex]\frac{x}{4} =\frac{6}{8}[/tex][tex]x=\frac{6\times 4}{8}[/tex]
[tex]x=\frac{24}{8}[/tex]
x = 3
[tex]\frac{x}{3} =9[/tex]x = 3 × 9
x = 27
∴ x ≠ 3
x -5 = -2x = -2 + 5
x = 3
Hence, placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
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find the length of each arc and round the answer to the nearest tenth
PLEASE HURRY IF YOU CAN
The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As a result, when measuring angles in radians,
The length of the arc is:
[tex]\rm l = r \theta[/tex]
Unit conversions;
1 π = 180°
1° = 180/π
315°= 5.49 rad
270° = 4.71 rad
60° = 1.04 rad
150°=2.617 rad
The measure of the length of arc for the given radius;
[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]
The length of arc for the options1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
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What is the area of the figure?
Answer:
21.5
Step-by-step explanation:
break the shape down to make two shapes: a triangle and rectangle.
triangle = A=bxh/2
3x5=15/2=7.5
Rectangle = A=bxh
2x7=14
7.5+14= 21.5
Hope this helps :)
Answer:
21.5
Step-by-step explanation:
(all steps provided in image attached)
Solve for x ~
[tex] \sf \rightarrow2x + 5x = 14[/tex]
provide explanation
Solution: x=2 ✅
[tex]\searrow[/tex]
⚜Detailed explanation: ⚜
In this problem we need to solve for x, the unknown.
First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?
[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]
We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.
[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing
Superb, it's ez as winking!
_________________________________________
Voila! There's our solution!
Cheers!! ^-^Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
____________________________________________
