The side lengths of a right-angle triangle can be calculated using the Pythagorean Theorem. Which states that the square of the hypotenuse is equal to the sum of squares of the other sides in the triangle.
[tex]a^2+b^2=c^2[/tex]
the hypotenuse is always the longest side of a triangle and is always the opposite side length to the right anglerearranging the equation can help calculate the third side:
[tex]c^2-a^2=b^2[/tex]
[tex](5)^2-(4)^2=b^2[/tex]
[tex]25-16=b^2[/tex]
[tex]9=b^2[/tex]
[tex]\sqrt{9}=\sqrt{b^2}[/tex]
[tex]{ {{b_1=+3} \atop {b_2=-3}} \right.[/tex]
note: a length can never be negative so never take into account a negative answer
b = 3
x-3/-7 ≤ 8
Solve the inequality.
Answer:
x is less than or equal to 59/7
Step-by-step explanation:
What is the perimeter of 4?
The perimeter of a shape with 4 sides is equal to the sum of its sides multiplied by itself, which in this case is 4 multiplied by 4, resulting in a perimeter of 16.
Step 1: Calculate the length of each side by multiplying 4 by 4.
Step 2: Add the lengths of each side together to get the perimeter.
Step 3: The perimeter of the shape with 4 sides is equal to 16.
The perimeter of a shape is the sum of the lengths of its sides. To calculate the perimeter of a shape with 4 sides, you need to find the length of each side. To do this, you can multiply the length of one side by itself. For example, if the length of one side is 4, the length of each side would be 4 multiplied by 4, which is 16. Therefore, the perimeter of a shape with 4 sides is equal to 16. To calculate the perimeter of a different shape with an unknown number of sides, you can add up the lengths of each side to get the total perimeter. This is a useful way to measure the size of a shape and can be used to calculate the area of a shape by dividing the perimeter by the number of sides.
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A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ___ units. The point (-15, ___) lies on this circle. What are the answers?
Answer:
Find Radius using distance formula.
[tex]radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\[/tex]
=[tex]\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units[/tex]
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
[tex]radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14[/tex]
point (-15, 14)
Translate each sentence into an equation!!!
1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.
Answers:
1. 6x + 7 = 17
2. 5x - 4 = 11
3. 6(x - 2) = 24
4. 6x - 3 = 2x + 5
5. (-3x) + 2 = 11
Step-by-step explanation:
Since your only translating the sentence and not actually solving, we don't need to determine a specific number. So in that case, whenever the question says "a number," use a variable such as x.
1. Seven more would mean +7, so your adding 7 to x. X is multiplied by 6, so your answer is 6x + 7 = 17.
2. X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11
3. X-2 is being multiplied by 6, so indicate that in parenthesis. You should then get 6(x - 2) = 24
4. This one is a little different, since it doesn't equal a direct number. X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5. Put it all together and you get 6x - 3 = 2x + 5
5. The word product means multiplication so you know that -3 is being multiplied with X. Again, indicate this in parenthesis. You should get (-3x) + 2 = 11
I hope this helps you! Have a good day/night! :)
Here are the first five terms of a sequence.
3
8 17
30
47
Find an expression, in terms of n, for the nth term of this sequence.
Help
Step-by-step explanation:
3 to 8= 5
8 to 17= 9
17 to 30= 13
30 to 47= 17
47 to 68= 21
68 to 93= 25
93 to 122= 29
122 to 155= 33
155 to 192= 37
difference is 4
solve by
[tex]2 {n}^{2} - n + 2 \\ 2 {(9)}^{2} - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155[/tex]
Hi I really need help on this question please
Answer:
Step-by-step explanation:
CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS
To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.
How high is the ball after one second?The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.
How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.
Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.
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help me with this math problem
no h and j
Answer:
f. 4h (greater than or equal to) 18
Step-by-step explanation:
hope this helps :)
What are the intercepts of y 2x + 6?
Answer:
(-3,0) (0,6)
hope this helps
The lengths of two sides of a triangle are 33 units and 42 units. The third side also has an integral length. What is the least possible number of units in the perimeter of the triangle
The least possible unit of the perimeter of the triangle will be 85 units.
In order for the three sides of a triangle to fit together, any two sides' differences must be bigger than the length of the third side.
Draw some triangles on a piece of paper and try to accept that this is the case.
So, by properties of triangle = 42 - 33 = 9
The third side must be greater than 9 units.
Given that it is an integer, 10 must be the minimum possible value.
The perimeter is the sum of all sides.
So our least possible perimeter will be 42 + 33 + 10 = 85 units.
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NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
See image for question. Please show workings.
Answer:
You have to subtract the highest mark with the lowest mark
ex.
53 - 45 = 8
therefore the lowest possible mean mark is 8%
hope this helped
Step-by-step explanation:
Answer:
56Step-by-step explanation:
Total number of marks:
8 * 53 = 424Two students got less than 45. Let's assume 44 as maximum mark.
Then the mean of the 6 students is:
(424 - 88)/6 = 56The absolute value of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its location is 4. Where on the number line is it?
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).
2x-6y= -12 x intercept as a ordered pair and y intercept as ordered pair
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this number?
answer choices=
A. 0.4 C. (4 x 100)
B. ( 4 x 1/10 ) D. ( 4 x 1/100) NO SCAM LINKS OR REPORT
Answer:
D.
Step-by-step explanation:
The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.
how would you read absolute value -5
Answer:
-5 = |5|
Step-by-step explanation:
Absolute value is the number of distance from zero. Therefore, it doesn't matter if the number is positive or negative in absolute value it is always positive.
highschool algebra:
combine like terms-
which number is the greatest
-5/3
-5/2
-7/3
Answer:
-5/3 would be the greatest.
because 5/3= -1.66666666667
PLEASE HELP I DON'T GET IT, MATH
Answer:
can any of u pls help me abt would u evër reach the end of the earth and y pls
The back of a dog house Rylan is building is shown below. Find the total
area.
Answer:
C
Step-by-step explanation:
Divide it into a rectangle and a triangle
2 times 5 divided by 2 = triangle = 5
4 times 5 = rectangle = 20
20+5 = 25
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
juice to orange juice in its simplest form.
Answer:
1 : 2 :3
Step-by-step explanation:
1/4 apple juice
2/5 orange juice
1/4 - 2/5
20 - 40 /20 = 20/20
= 1
answer = 1 :2 : 3
PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
What is the midpoint of the x-intercepts?
The midpoint of the x-intercept is (0,0).
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the occurs when the x value is 0. Y = B when x = 0, since mx y-intercept = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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1. m - 3 < 10 2. h - 8 <5
Answer:
1. m < 13
2. h < 13
Step-by-step explanation:
m - 3 < 10
isolate the variable by adding 3 on both sides
= m < 13
h - 8 <5
Isolate the variable by adding 8 on both sides
= h < 13
HELP DUE NOW PLEse help this is it.
Answer:
-1.7
Step-by-step explanation:
subtract 3.5 by -5.7
a survey was given to people who own a certain type of car. what percent of the people surveyed were completed satisfaction with the car?
The percent of the people surveyed who were completed satisfaction with the car will be 48%.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100. The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %.
In this case, a survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car.
The percent of the people surveyed were completed satisfaction with the car will be:
= 24 / 50 × 100
= 48%
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Complete question
A survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car. what percent of the people surveyed were completed satisfaction with the car?
ACB=67 degrees find BCD
Answer:
23°
Step-by-step explanation:
Since ACB is a right angle, the two angles ACB and BCD add up to 90°
just subtract 67 from 90 and bam 23
PLS HELP PLS ILL MARK BRAINLIEST
Answer:
1
Step-by-step explanation:
The tip of a minute-hand travels 103. 62mm in one hour. Find the length of the minute
hand
Using the concept of circumference of a circle, the length of the minute hand is 16.5mm.
What is circumference of a circle?
The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference . The radius of the circle is considered when applying the formula to determine the circumference of the circle.
Circumference of circle(C) = 2πR
where,
R represents the radius of the circle
π is a constant with an approximate value of 3.14
Now, it is given that the tip of a minute-hand travels 103. 62mm in one hour which means that the minute hand moves 360 degrees.
This means that C= 103.62
So, using the concept of circumference of a circle,
C= 2πR
103.62= 2*3.14*R
So, R= 103.62/6.28
R=16.5mm
Hence, the length of the minute hand is 16.5mm.
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What is the example of zero polynomial?
A polynomial in which the degrees of all the variables is 0 is called a zero degree polynomial .
The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
For example- 6 x 0 , − 9 a 0.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division .
Degree of polynomial
The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial .
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