The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
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I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)
The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.
Then the other two angles and the side CA will be
The side CA is given by the cosine rule. Then we have
[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]
Then angle A will be given by the sine rule. Then we have
[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]
Then the angle C will be
∠A + ∠B + ∠C = 180°
65.37° + 97° + ∠C = 180°
∠C = 17.63°
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A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.
Will mark brainliest please help!!
If the side be s
Volume is 100in³
So
side³=100s³=100s=³√100s=√10ins=3.14≈3.1inJose constructed Triangle DCE, where m m • Are the two triangles similar to one another?
Answer:
please write question with full info
Solve: (6 • 6 + (-3)) ÷ 11
please
Answer:
The correct answer is 3.
Step-by-step explanation:
I'm assuming you need this now so I won't explain it.
Hope this helps:) Goodluck!
mrs.bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answer:
42 with 4 extra ounces
Step-by-step explanation:
since we know we can't do 256/6
256, when downed, is 252
252/6 = 42
the most she can make is 42 with 4 more ounces leftover
In the figure below, the segments WX and W Y are tangent to the circle centered at 0. Given that OX= 4 and OW = 8.5, find WY.
Answer:
7.5
Step-by-step explanation:
because OY is a radius like OX they will have equal length of 4 so OY = 4
Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:
[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]
which coordinate is a solution to the inequality
Answer:
C) (3 , 2)
Step-by-step explanation:
y is greater than 2x - 7.
Note the point values (x , y). y, in this case, must be greater than x after it is simplified.
~
(3 , -2)
Plug in 3 for x, and -2 for y:
(-2) > 2(3) - 7
-2 > 6 - 7
-2 > -1
(False).
~
(4 , 1)
Plug in 4 for x, and 1 for y:
(1) > 2(4) - 7
1 > 8 - 7
1 > 1
(False).
~
(3 , 2)
Plug in 3 for x, and 2 for y:
(2) > 2(3) - 7
(2) > 6 - 7
2 > 1
(True).
~
∴ C) (3 , 2) is your answer.
~
4.
Suppose events A and B are independent and P(A and B) is 0.2
Which statement could be true?
(1) P(A) = 0.4, P(B) = 0.3, P(A or B) = 0.5
(2) P(A) = 0.8, P(B) = 0.25
(3) P(A/B) = 0.2, P(B) = 0.2
(4) P(A) = 0.15, P(B) = 0.05
Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25
Step-by-step explanation:
The True statement is P(A) = 0.8, P(B) = 0.25.
The correct option is (B).
What is Conditional Probability?Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
1. 0.4 ·0.3≠ 0.2,
2. 0.8 · 0.25 = 0.2
3. P(A|B)= P(A)= 0.2
0.2 ≠ 0.2 · 0.2
4. 0.2 ≠ 0.15 · 0.05
Hence. the only condition is satisfied is (B).
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slope of 4/5, a width of 30…what is the height..?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
Slope of the graph can be expressed as :
[tex]\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]
[tex]\qquad \sf \dashrightarrow \: x = {4}{} \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 24 \: units[/tex]
So, the value of x is 24 units
This double bar graph shows the results of a survey asking girls and boys to choose their favorite subject.
Based on the information represented in the graph, which statement is true?
Exactly 50% of girls surveyed chose language arts or social studies.
The total number of students that chose language arts is greater than the total number of students that chose math.
Less than 50% of the boys surveyed chose math or science.
The total number of students that chose social studies is greater than the total number of students that chose science.
In what ways could creating similar shapes by using sequences of transformations be helpful in the real world? (e.g., a three-dimensional setting?)
Virtual reality" is the appropriate answer.
What is virtual reality?The utilization of technological advances gives the impression of a 3D interactive environment wherein the things that have such a perception of space embodiment or involvement, are considered as Virtual reality.
Virtual reality implementations often include:
Entertainment,Medical andEducational activities.To know more about virtual reality follow
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Please help!!!you must use the desmos caculator
Part (a)
Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.
Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.
After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following
[tex]y_1 \sim mx_1 + b[/tex]
Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]
The ~ symbol is likely found in the upper left portion of your keyboard.
After typing that into the second input box, you should get what you see in the screenshot below.
The parameters your teacher wants are the m and b values.
Desmos is showing these values:
m = 0.125873b = -7.11916These values are approximate. As the instructions state, do not round the values mentioned.
Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately
This is the regression line. It is the closest line to all of the points.
Answer: y = 0.125873x-7.11916===========================================================
Part (b)
The year 2022 is 2022-1900 = 122 years after the year 1900.
This means we'll plug x = 122 into the regression equation to find the predicted value for y.
y = 0.125873x-7.11916
y = 0.125873*122-7.11916
y = 8.237346
I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346
That then rounds to 8.24
We predict in the year 2022, the minimum wage should be about $8.24
This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.
Answer: $8.24please help me with this problem i will give brainliest please :) <3
Answer:
I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather
Step-by-step explanation:
PLS HELP ITS MATH I DONT UNDERSTAND
Answer:
that would be 12
Step-by-step explanation:
62 - 50 = 12
X = 12
Answer:
that is 12
Step-by-step explanation:
u have to subtract 62 - 50 to get 12
That way
X = 12
Need help please answer asap
#13
x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8Option D
#14
.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴Answer:
13. (4) -x² + 4x - 8
14. (3) a⁴ + 2a²b² + b⁴
Step-by-step explanation:
Question 13
x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8Question 14
(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴Find the length of the straight lines joining the following pairs of points (-1,3)and(5,2)
Answer:
es lo que es
Step-by-step explanation:
step by step =step momSolve for x in the equation
Answer:
x = -1 + ⟌17
Step-by-step explanation:
You want to solve the equation for x by finding a, b, and c of the quadratic formula
Solve the following equation:-
2x(3+5)+6 x4
Answer:
40
Step-by-step explanation:
Using BODMAS
[tex](2 \times (8)) + (6 \times 4)[/tex]
[tex]16 + 24 = 40[/tex]
Answer:
40
Step-by-step explanation:
Using PEMDAS
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionSimplify terms in the parentheses.
2 × (3 + 5) + 6 × 42 × 8 + 6 × 4Multiplying
2 × 8 + 6 × 416 + 24Adding
16 + 24407) YOU TRY: What is the product in simplest form? State any
restrictions on the variable.
x²-2x-3
x+11x+24
x-3
x +6x-16
The value of the product expression (x + 1)(x - 3) is x² - 2x - 3
How to determine the product?From the complete question, the product expression is given as:
(x + 1)(x - 3)
Expand
x(x - 3) + 1(x - 3)
Further, expand
x² - 3x + x - 3
Evaluate the like terms
x² - 2x - 3
Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3
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To avoid a large, shallow reef, a ship set a course from point A and traveled 22 miles east to point B. The ship then turned and traveled 33 miles south to point C. If the ship could have traveled in a straight line from point A to point C, about how many miles could it have saved?
A.
15 miles
B.
11 miles
C.
55 miles
D.
40 miles
Answer: A. 15 miles.
Step-by-step explanation: Did the math 22, 33 and got A. 15 miles.
What’s 5 square root 7n
Answer:
If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.
Step-by-step explanation:
You square the whole equation first.
5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n
Then you multiply it together.
25 * 7n
175n
What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.
Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.
What is the next step in the Gauss-Jordan Elimination method?The first row has already gone as low as it can so rows two and three need to be worked on.
The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:
[1 0 0 I 5]
[0 1 0 I 4]
[0 0 1 I 3]
In conclusion, option B is correct.
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x^2+y^2−4x+2y=b
The radius of the circle is 7 units. What is the value of b in the equation?
Answer:
b = 44
Step-by-step explanation:
We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.
__
x^2 +y^2 -4x +2y = b . . . . . given
(x^2 -4x) +(y^2 +2y) = b . . . . group by variable
(x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares
(x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius
b = 49 -5 = 44 . . . . subtract 5
The value of b to make the radius 7 is 44.
_____
The standard form of the equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r
write the equation of the line that passes through (-3,6) with a slope of -2
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the equation of the line that passes through (-3, 6) and has a slope of -2?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
First, we need to write the equation of the line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 6, m with -2, and x1 with -3:-
[tex]\sf{y-6=-2(x-(-3)}[/tex]
On simplification,
[tex]\sf{y-6=-2(x+3)}[/tex]
On further simplification,
[tex]\sf{y-6=-2x-6}[/tex]
Add 6 on both sides:-
[tex]\it{y=-2x}[/tex]
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Hello I really needs some help this is algebra
Answer:
x = 5
Step-by-step explanation:
5 - 3x = - 10
Subtract 5 from both sides:
5 - 5 - 3x = -10 - 5
-3x = -15
Divide -3 by both sides:
-3x/-3 = -15/-3
x = 5
hope this helps!! p.s. i really need brainliest :)
Help will give brainilist ✨✨✨
Answer:
The answer to the first question is
[tex]16.37[/tex]
The answer to the second question is D
Please Help I will mark brainpower. Please:
a) show how pip can complete the circuit by adding less than 120cm of track
b) show how pip can complete the circuit by adding more than 270cm of track
c) explain why, no matter how the circuit is completed, pip must place an even number of additional curved plates
d) explain why, no matter how the circuit is completed, pip must place an odd number of additional straight plates
In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. The length of the total plates to be added is 100cm. Refer to the use of polygons.
How did we arrive at 100cm above?Step 1
In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. This is already existing on the circuit so it is not part of the plate to be added.
Step 2
Using the plate with the straight line, the other spaces which are 5 in number will be completed. The total length of plates used will amount to 100cm.
Because the plate is equal in length and height, the total number of plates used is:
20 * 4 = 100cm.
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A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?
Answer:
A) [tex]0.13[/tex]
Step-by-step explanation:
If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]
Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].
Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)
Answer:
(4, 1)(-3/2, -5/2)Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
M = (A +B)/2
__
1.M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)
The midpoint coordinates are (4, 1).
__
2.M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)
The midpoint coordinates are (-3/2, -5/2).
18 people are trying out for a soccer team. How
1
I goalie,
many different ways could you choose
5-defenders, 6 midfielders, and 3 forwards?
Answer:
Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.
What is the arrangements formula?
Step-by-step explanation: