Answers
Answer:
Question 4 : 10 m
Question 5 : Square root 37
Step-by-step explanation:
QUESTION 4: So for the this one here we need to make a drawing (unfortunately). Lets break down the question because having a math problem with a ton of words is confusing sometimes. So we have a pole that is 8m high, so we can draw that out. So we take some cable and go 6 m from the bottom of the pole. So now we want to know how long the cable is and if we go from the top of the pole to the bottom 6m away it looks like this. (Below I'll put what I have written) Since now it's a 90 degrees angle there is a specific formula we can use in situations like this. Where we know 2 sides and need 1 more. a^2 + b^2 = c^2 should look familiar if it doesn't its all good! :D a^2 + b^2 = c^2 is called 'Pythagorean's theorem' (we don't really need to know that part) but basically we use it whenever we need to figure out a side when we already know the other two. We know that the straight line is 8, and the horizontal line is 6. So we can use that formula to get the last number. just know that whenever we have the right triangle, we can use the a^2 + b^2 = c^2 to get all the sides for it. The a and b in the formula are always the straight lines. The c is always the slanted line (the red line I drew). We don't know what it is, so we'll just put c^2 into our equation but we can solve for it! So 8^2 would equal to 64. 6^2 would equal to 36. 64 + 36 here gets us 100. Here's another trick you might need to memorize. Whenever there is a number squared like c^2, we can take the square root of both sides to get rid of it. So c^2 just becomes c. It's a little weird but very useful to remember. But if you remember the a^2 + b^2 = c^2 and use that square root technique you can get an A+ every time. :D Now all we need to know is the square root of 100. It's a big one so using a calculator is fine, here its just 10. Therefore our answer is 10.
QUESTION 5: We'll start off by reading 'distance between points' is a big thing to note here. There is a formula that we can directly use here. (I'll write under the picture in black). So distance between points always uses this formula: (In black). Okay, so the formula in black has more letters in it (which sucks) but we can break it down. When we have numbers like this (3, 0) it means (x, y). So I wrote down what the x1, y1, x2, y2, are here. X1 is just the first number, y1 is the second, x2 is the third, and y2 is the fourth. I just plugged in all the numbers from above in the order we put (x2, x1, y2, y1). Basically we can just solve this now! As of right now we'll need to solve (-3 -3)^2 when we solve that we should get 36. Next we're gonna solve (-1 - 0)^2 and we should get the answer of 1. Now we need to solve 36 +1 and we should know that it equals 37. Therefore we'd get answer: square root 37.
Related Questions
Directions: If the statement is true, circle true. If the statement is false, circle false.
15. √115 is between the integers 10 and 11.
TRUE
FALSE
Answers
Solve each inequality and describe the steps
|1.3x + 7.8| > 0
Answers
The value of the inequality is x > 6
What are inequalities?Inequalities are defined as mathematical relations that makes a non-equal comparison between two numbers , elements or expressions.
They are also used to compare two numbers on the number line by their size.
It is an order relationship showing —greater than, greater than or equal to, less than, or less than or equal to
Given the expression;
|1.3x + 7.8| > 0
collect like terms
1. 3x > 0 + 7. 8
1.3x > 7. 8
Make 'x' the subject
Divide both sides by 1. 3
1. x/ 1. 3 > 7. 8/ 1. 3
x > 6
Thus, the value of the inequality is x > 6
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Find the product of (1 3/4-2.4).[0.5.(2/5 plus 2.6)
Answers
The product of (1 3/4-2.4).[0.5.(2/5 plus 2.6) is 2.75.
How to calculate the product?It should be noted that we are to find the product of (1 3/4-2.4).[0.5.(2/5 plus 2.6).
This will be:
= (1 3/4-2.4).[0.5.(2/5 plus 2.6)
= (1.75 - 0.5) × [0.5(0.4 + 2.6)]
= 1.25 × 0.5(3)
= 1.25 + 1.5
= 2.75
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Select the words that best describe the given
equation y=x²-1
The x-value squared is 1 less than the y-value.
The x-value minus 1 is the square of the y-value.
The y-value is 1 less than the square of the x-value.
The y-value is 1 minus the square of the x-value.
Answers
Answer:
The y-value is 1 less than the square of the x-value,
Step-by-step explanation:
if we follow the letters and convert them into numbers we will get:
y-value=y
1 less than=-1
square of x value=x^2
so
we put the number in order according to the words:
y value=1 less than the square of x
so
y=x^2-1
hope this helps!
What's 3/10 + 8/15? (Brainliest Question)
Answers
Answer:
5/6
Step-by-step explanation:
Get LCD of 30 and add
9/30 + 16/30
25/30
Reduce
5/6
Find each product or quotient.
-2.1 . (-3.5)
Answers
The product of -2.1. (-3.5) is 7.35
The product of (-2.1 ) and (-3.5) = [tex]-2.1\times-3.5[/tex]
= 7.35
So, the product of (-2.1) and (-3.5) is 7.35.
What is the quotient?The quotient is the number which is produced when we perform division operations on two numbers. Fundamentally, it is the result of the division method. There are four primary wordings utilized within the arithmetic division such as divisor, dividend, quotient and remainder.
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Question 15 (1 point)
(01.04 MC)
Darnell is planning a trip to Dallas. He knows the hotel costs $155 per night and the round-trip flight is $99. He has a budget of $850 to spend
on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Dallas?
OO
Ob
Od
99n+ 155 2 850
99n+155 ≤ 850
155n+99 2 850
155n+ 99 ≤ 850
Answers
The inequality that represents the number of nights he can stay in Dallas is 155n+ 99 ≤ 850 (option d).
How many nights can he stay in Dallas?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toSince his budget is $850, he can spent a total of $850 or less than $850 on the trip. The sign that would be used to represent this is ≤.
(Total hotel stay cost) + cost of flight ≤. budget
(cost per night x number of hotel stays) + $99 ≤ $850
155n + $99 ≤ 850
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Answer:
Answer is D
Step-by-step explanation:
At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?
Answers
2 packages of bacon would have to buy for both stores to cost the same.
Given that,
At a store, a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store, eggs cost $2.75, and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to question
WIth the help of arithmetic operators
2.25 + 4.25y = 2.75 + 4.00y
0.25y = 0.50
y = 2
Thus, 2 packages of bacon would have to buy for both stores to cost the same.
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What are the solutions of the following systems? Explain.
a. -x + y= -2 2x - 2y = 0
Answers
The system of equations, -x + y = -2 and 2x - 2y = 0, has no solution.
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
Given two equations in x and y,
-x + y = -2 (equation 1)
2x - 2y = 0 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -x + y = -2 ⇒ y = x - 2
2x - 2y = 0 (equation 2)
2x - 2(x - 2) = 0
2x - 2x + 4 = 0
4 = 0
Since we do not have a definite value for x, and neither will be for y, the system of equation has no solution.
Checking the slope,
(equation 1) -x + y = -2 ⇒ y = x - 2
m = 1
(equation 2) 2x - 2y = 0 ⇒ y = x
m = 1
Since the two equations has the same slopes but different y-intercepts, then these two equations must be parallel with each other.
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Which digit is in the hundred-thousands place in the
(12) number 987,654,32
Answers
Perform the indicated operation.
2 3/8 x 5 3/4
Answers
Answer:
1st convert mixed numbers
19/18 x 23/4
2nd multiply fractions
437/32
Answer: 437/32
Solve for x 2(5 − 10x) + 8x = −19x + 52
Answers
Answer:
x= 6
Step-by-step explanation:
10-20x+8x = -19x + 52
10 -12x= -19x +52
10 - 12x +19x =-19x +19x +52
10 + 7x= +52
10 -10 +7x= 52-10
+7x=42
7x= 42/7
x= 6
2(5- 10(6))+8(6)=-19(6)+52
2(5-60)+48=-114+52
10-120+48=-114+52
-110+48=-114+52
-62=-62✅
solve 6/7x + 15 - 8 = 31
Answers
Answer:
Step-by-step explanation:
simplify
6/7x + 7= 31
6/7x+7-7=31-7
6/7x=24
6/7x=24/6/7
28
6/7(28)+15-8=31
24+15-8=31
39-8=31
Find the sum of each finite arithmetic series. 1+4+7+ . . . . . .+31
Answers
The sum of finite arithmetic series 1+4+7+ . . . . . .+31 is S(11) = 176
The given arithmetic series is:
1+4+7+ . . . . . .+31
From the above series, we know that:
The first term, a(1) = 1
The last term, a(n) = 31
The common difference, d = 4 - 1 = 3
Recall the formula to find the nth term of an arithmetic sequence:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 1, a(n) = 31, and d = 3:
31 = 1 + (n-1) . 3
31 = 3n - 2
3n = 33
n = 11
In an arithmetic series, the sum of the first n terms is given by:
S(n) = n/2 [ a(1) + a(n) ]
Substitute n = 11, a(1) = 1, and a(n) = 31:
S(n) = 11/2 (1 + 31)
S(11) = 11. 16 = 176
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Jim buys a watch by making a $25 down payment and paying 15 installments of $12 each. What is the total cost of the watch?
Answers
• He makes a down payment of $25
• He buys 15 additional installments of $12 each
Given that information, let’s set up an equation with y representing the total cost of the watch and x representing how many installments are bought:
y = 12(15) + 25
y = $180 + $25
y = $205
Answer Recap: The total cost of the watch is $205.
I WILL MARK BRAINLIST!!!! PLEASE HELP ITS A MATH QUESTION IM NOT SURE IF ITS OPTION A ?
THANK YOU SO MUCH !!! thankful for the help!
Answers
Answer:
44 °
Step-by-step explanation:
In a right triangle such as this
sin B = opposite leg / hypotenuse
sin B = 20 / 29
B = arcsin (20/29) = 44 degrees
Determine whether Δ T J D ≅ΔS E K given T(-4,-2) , J(0,5), D(1,-1), S(-1,3), E(3,10) , and K(4,4) Explain.
Answers
By SSS (Side, side, side) congruency;
⇒ Δ T J D ≅ ΔS E K
Given that;
The vertices of ΔT J D are;
T (-4, -2) , J (0, 5), and D (1, -1),
The vertices of ΔS E K are;
S (-1, 3), E (3, 10) , and K (4, 4)
We have to prove that Δ T J D ≅ΔS E K.
What is congruency in triangle?
If all three corresponding sides are equal and all the three corresponding angles are equal in measure, then Two triangles are said to be congruent.
Now,
The vertices of ΔT J D are;
T (-4, -2) , J (0, 5), and D (1, -1),
The vertices of ΔS E K are;
S (-1, 3), E (3, 10) , and K (4, 4)
To prove Δ T J D ≅ΔS E K we use distance formula and prove all sides are equal.
In ΔT J D;
Distance between T and J;
[tex]D_{TJ} = \sqrt{(0-(-4))^2 + (5 -(-2))^2} = \sqrt{65}[/tex]
Distance between J and D;
[tex]D_{JD} = \sqrt{(1-0)^2 + (-1 -5)^2} = \sqrt{37}[/tex]
Distance between D and T;
[tex]D_{DT} = \sqrt{(1-(-4))^2 + (-1 -(-2))^2} = \sqrt{26}[/tex]
In ΔS E K;
Distance between S and E;
[tex]D_{SE} = \sqrt{(3-(-1))^2 + (10-3)^2} = \sqrt{65}[/tex]
Distance between E and K;
[tex]D_{EK} = \sqrt{(4-3)^2 + (4 -10)^2} = \sqrt{37}[/tex]
Distance between K and S;
[tex]D_{KS} = \sqrt{(4-(-1))^2 + (4 -3)^2} = \sqrt{26}[/tex]Clearly, Distance between sides of Δ T J D and ΔS E K are equal as;
[tex]D_{SE} = D_{TJ} \\\\D_{EK} = D_{JD}\\\\D_{KS} = D_{DT}[/tex]
Hence, By SSS congruency;
⇒ Δ T J D ≅ ΔS E K
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What’s the inverse??
Answers
Answer: The inverse is b.
Step-by-step explanation:
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Geometric probability involves a geometric measure such as length or area.
Answers
True, Geometric probability involves a geometric measure such as length or area.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.True, Geometric probability involves a geometric measure such as length or area.
Also, genuineness of the second statement does not give any information whether the first statement is true or not.
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Find the measures of numbered angle.
b. ∠3
Answers
Measure of angle 3 i.e. m∠3 = 130°
What is measurement of an angle ?The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
How to find angle measurement ?As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to supplementary angle property
∠8 + ∠6 = 180
50° + ∠6 = 180
∠6 = 130°
As, ∠6 and ∠2 are corresponding angles,
therefore, ∠6 = ∠2 = 130°
Also, ∠2 and ∠3 are vertical opposite angles,
thus, ∠2 = ∠3 = 130°
therefore, ∠3 = 130°
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The complete question is :
Find measures of numbered angle.
a. ∠2
b. ∠3
c. ∠4
let f (x) = 5x - 6. write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/4
Answers
The function g(x) whose graph is the horizontal shrink of the given graph of f(x) =5x-6 by a factor (horizontal shrink factor) of 1/4 is g(x)=5/4 x-6.
As per the question statement, we are supposed to find a function g(x) whose graph is a horizontal shrink of the given graph of f(x) =5x-6 by a factor of 1/4.
Before solving it lets assume f(x)=y
so y =5x-6
Comparing with y= mx+c where m is the slope
so in y =5x-6 slope is m=5
For applying horizontal shrink by a factor of 1/4 we need to multiply the slope by a factor of 1/4
so new slope [tex]m_{1} =5*\frac{1}{4} =\frac{5}{4}[/tex]
Therefore [tex]g(x) = \frac{5}{4} x -6[/tex]
Therefore the function [tex]g(x)[/tex] whose graph is a horizontal shrink of the given graph of [tex]f(x) = 5x-6[/tex] by a horizontal shrink factor of 1/4 is [tex]g(x) = \frac{5}{4} x -6[/tex]
Horizontal Shrink : The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).To learn more about such questions, click on the link given below:
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Show work please and please help
Answers
Bounce 2 is 2
Bounce 4 is 1/2
Bounce 5 is 1/4
Bounce 6 is 1/8
all of your equivalent heights are correct.
Jacob rides his bike up a large hill. If he is moving at 15 mph at the bottom and slows to 3 mph 2.75 minutes later when he gets to the top, what is the acceleration?
Please show work! Also please answer quick, I have other work to do. Thank you!
Answers
The acceleration when he gets to the top is -0.0325 m/s²
Calculating accelerationFrom the question, we are to determine the acceleration when Jacob gets to the top
Using one of the equations of motion, we have that
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time
From the given information,
u = 15 mph = 6.7 m/s
v = 3 mph = 1.34 m/s
t = 2.75 minutes = 165 seconds
Then,
1.34 = 6.7 + a×165
1.34 - 6.7 = 165a
-5.36 = 165a
a = -5.36/165
a = -0.0325 m/s²
NOTE: Negative sign indicates deceleration
Hence, the acceleration when he gets to the top is -0.0325 m/s².
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A quadratic function is shown on the graph.
a downward opening parabola beginning with open circle at negative 3 comma negative 7 increasing to a vertex at 0 comma 2 and then decreasing to a closed circle at 2 comma negative 2
What is the range of the function?
{y | −7 < y ≤ 2}
{y | −7 ≤ y ≤ 2}
{x | −3 ≤ x ≤ 2}
{x | −3 < x ≤ 2}
Answers
The range of the quadratic function represented with the given parameters is {y | −7 < y ≤ 2}
What is the range of a function?The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the range of the function?From the question, we have the following parameters:
The parabola opens downwardVertex = (0, 2)Open circle points = (-3, -7) and (2, -2)Write out the vertex
So, we have
Vertex = (0, 2)
Remove the x value
y = 2
From the question, we have
The parabola opens downward
This means that the vertex is a maximum
So, the range is
y ≤ 2
Rewrite properly as
{y | −7 < y ≤ 2}
Hence, the range of the quadratic function is {y | −7 < y ≤ 2}
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Answer:
Answer is A :)
Step-by-step explanation:
pls help me with my math homework
Answers
Answer:
55 sq ft
Step-by-step explanation:
okay so the are of the lil square is 9 sq ft and the area of the big square is 64 sq ft so j subtract the small from the big
Answer: 55cm ^2
Step-by-step explanation:
Area of a square is A=a^2
Area of small square is 3cm^2 = 9cm^2
Large square has an area of 8cm^2 = 64cm^2
64 - 9 = 55 cm^2
Therefore the remaining area is 55 centimeters squared
Show your work given the rule of (x,y)—->(x-7.5,y+6.8)
Original coordinate (5,3)
Answers
Show your work given the rule of (x, y)—->(x-7.5,y+6.8)
Original coordinate (5,3)
The output coordinate is if the input coordinate is (5,3) is (-2.5,9.8).
Given that,
(x, y)—->(x-7.5,y+6.8)
Given original coordinate are (5,3).
We substitute the original coordinate in the given point (x, y).
A location on a grid, also known as a coordinate plane, is identified by coordinates, a pair of numbers (also known as Cartesian coordinates), or sometimes a letter and a number. The two axes that make up a coordinate plane are the horizontal x axis and the vertical y axis (vertical).
Put x=5 and y=3 in (x, y)
We get
[tex]=(5-7.5, 3+6.8)\\=(-2.5, 9.8)\\[/tex]
Therefore, The output coordinate is if the input coordinate (5,3) is (-2.5,9.8).
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Find the mean of the data set: 9, 4, 7, 3, 10, 9
Answers
Answer: 7
Step-by-step explanation: You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
Approximate 14 plus cube root of 81 to the nearest tenth.
15.8
17.9
18.0
18.3
Answers
The nearest tenth value of the given expression is a 18.3. the option D is a correct option.
According to the statement
We have to find that the value of the tenth digit.
So, For this purpose, we know that the
Tenth digit is the first digit to the right of the decimal point; one out of 10 equal parts of a whole.
From the given information:
14 plus cube root of 81 to the nearest tenth.
Then
the statement become is
[tex]14+(81)^\frac{1}{3}[/tex]
Firstly we have to find the cube root of the number 8 and then have to add 14 number in the out coming answer.
Then
14+ Cube root of 81
Then
14+ 4.32
Then after adding it
18.32
In the nearest tenth value it will become 18.3.
So, The nearest tenth value of the given expression is a 18.3. the option D is a correct option.
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The sum of a and 10 is twice as large as b, where both a and b are integers. If the sum of a and b is divisible by 4, which of the following CANNOT be the value of b?
A) 6
B) 8
C) 10
D) 14
Answers
8 is the only number there divisible by 4. It can’t be in the equation if the answer is divisible by four, not the question
What is 0.00000008 in scientific notation?
OA) 8×10-⁹
O B) 8×10¯³
OC) 8×10^7
OD) 8×10^6
Answers
8 × 10⁻⁷ is 0.00000008 in scientific notation .
What does a scientific symbol mean?
A frequently used floating-point system where values are expressed as the product of a number between 1 and 10 with the appropriate power of 10 (for example, 1.591 1020).
Example: 700. Why is 700 written as 7 × 102 in Scientific Notation
Example: 4,900,000,000. 1,000,000,000 = 109
Example: 0.0055 is written 5.5 × 10-3
Example: 3.2 is written 3.2 × 100
Why is it employed in scientific notation?
The main benefit of scientific notation is that it enables us to scale down extremely large or extremely small numbers into sizes that are much easier to handle. These numbers are significantly simpler to work with when they are written in scientific notation.scientific notation of 0.00000008 = 8 × 10⁻⁷
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