Two sides of a right triangle measure 7 units and 3 units.
What is the area of the square that shares a side with the third side of the triangle?
Answers
Answer:
20 units squared
Step-by-step explanation:
Use pythagorean theorem to find third side of triangle
[tex] {2}^{2} + 4 {}^{2} = {x}^{2} [/tex]
[tex]4 + 16 = {20} [/tex]
Take the sqr root of 20
[tex] \sqrt{20} [/tex]
So the side of the square is sqr root of 20
Area is length x width
The area of a square is 2 times s, where s is the length of one side since a square sides are all equal.
So
[tex] \sqrt{20} \times \sqrt{20 } = 20[/tex]
The area of the square that shares a side with the third side of the triangle should be considered as the 58 .
Calculation of the area of the square:Since Two sides of a right triangle measure 7 units and 3 units.
So here the third side be
[tex]= \sqrt{7^2 + 3^2}\\\\ = \sqrt{49 + 9} \\\\= \sqrt{58}[/tex]
So here area of the square should be considered as 58.
Learn more about an area here: https://brainly.com/question/24417940
Related Questions
Halpppp and you get some hearts and branlists!
Answers
Answer:
153/20
Step-by-step explanation:
We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.
We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.
Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.
Bonus Problem. A shop owner has 75 pounds of coffee that costs $4.50 per pound. How much coffee that costs $3.50 per pound should he mix with this coffee to sell the mix at the price $4.00 per pound?
Answers
Answer:
75 pounds
Step-by-step explanation:
75 pounds
Answer:
75 pounds
Step-by-step explanation:
THE CORRECT ANSWER IS 75 POUNDS!!!!!
kevin is trying to find the height of a tree. he stands 100ft away from the tree and records the angle of elevation to the top of the tree to be 26. Kevins height is 6ft. how tall is the tree?
Answers
Answer:
HERES YOUR ASSIGNMENT! I EDITED IT ON MICROSOFT SO THAT I CAN SCREENSHOT IT AND SEND IT TO YOU...I HOPE IT HELPS :)
ARIGATO OZAIMASU!!!A pound of blueberries cost $1.25. A pound of jello costs $2.35.
How much money will it cost to buy 1.3 pounds of blueberries and 2.7 pounds of cherries?
Cost per pound of jello. Cost per pound of jello and amount bought
Answers
Answer:
$7.97
Step-by-step explanation:
13/10* 1.25+ 27/10*2.35
= 7.97
if my answer helps please mark as brianliest
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u
i need help plzzzzzzzzzzzzzz
Answers
What is 3.6 = 2.4x step by step please
Answers
Answer:
x = 1.5
Step-by-step explanation:
3.6 = 2.4x
divide by 2.4 on both sides
you get 1.5
x = 1.5
Check it if u want
Answer:
x=1 1/2
Step-by-step explanation:
3.6 / 2.4 = x
Convert by factor:
3.6 = 1.2x3
2.4 = 1.2x2
3/2 = x
x = 1 1/2
if angle 7 and the 49 degree angle are alternate interior angles, then how are their measures related
Answers
Answer:
Alternate Interior angles have the same measure
Step-by-step explanation:
What is the value of 4 to the power of 0?
Answers
Answer:
The value to 4 to the power of 0 is 4.
Step-by-step explanation:
Since it is to the power to 0, it would be 4^0. This shows that 4 is not being multiplied to anything.
Write in terms of i.
Simplify your answer as much as possible.
[tex]\sqrt{-80}[/tex]
Answers
Answer:
4√5i
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answers
Answer:
9
Step-by-step explanation:
THE ANSWER Is 9
Answer:
The missing side is 9
Step-by-step explanation:
Th use of the pythagorean thereom
41^2=1681
40^2=1600
1681-1600=81
81 radical thingy = 9
PLEASE HELP AGAIN I NEED THIS EVEN QUICKER
Answers
Answer:
9.5ft is the answer
Answer:
9.5 ft.
Step-by-step explanation:
Please help answer !:)
( WILL GIVE BRAINLST)
Answers
Answer:
a. one housec. item vetoc. elected officiald. all of the aboveAngel tried to evaluate the following expression step by step 8 x 2 x 5
Answers
Answer:
8×2×5=80
Step-by-step explanation:
8×2=16 Then 16×5=80 or do it easier like this 5×2=10 then 10×8=80
A group of 3 friends shared 7 bars of clay equally. How much clay did each student get?
What equation could you write to match this story?
How much clay would each friend get?
Answers
Answer: 2 1/3
Step-by-step explanation:
Hi, I got my answer by making 3 groups and splitting 7 into them. When you get 1 left over, you separate it into 3, so everyone gets 1/3 of a piece. Therefore the answer is 2 1/3. :)
what is the slope of the line?
Answers
7-9/10-11 -2/-2
The slope is 1
Write the phrase as an expression.
the difference of a number s and 6
An expression is
.
Answers
Step-by-step explanation:
s-6
because difference indicates subtraction.
Answer:
t to the power of 2
Step-by-step explanation:
Given the function f(x) = x^3 - x + 3, explain how to write the new function for a horizontal and vertical stretch or shrink, a reflection in the x and y axes and a translation left or right.
(25 POINTS) GIVE ABOUT A PAPER AMOUNT OF WORDS (can give me none sense but make it smart) :)
Answers
PLEASE HELP ILL GIVE BRAINLEST
Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.
(For the last question, the multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)
Answers
(a) (-∞, -8) U (-4, 0) U (5, 9)
To find the intervals of decreasing, you just pay attention to where the graph is angled downward, when looking at it from left to right.
I usually do this by drawing lines on the x value where there is a local max/min and looking to see what the values are at that line.
You then make an ordered pair out of the two numbers.
This is the same process for finding both the increasing and decreasing intervals.
(b) -4, 5
A common mistake for this problem could be that you put the maximum and minimum x values in for this function, but the problem is only asking for the maximums.
If you look at the graph and find the point, the x-values are what you will use for this problem.
(c) +
For these kinds of problems, I draw an imaginary vertical line through the middle of the function.
If the far right and left parts of the function are going up, then the function is positive. If the far right and left parts of the function are going down, then the function is negative. If the far left part of the function is going down while the far right part of the function is going up, then the function is positive. If the far left part of the function is going up while the far right part of the function is going down, then the function is negative.These positives/negatives belong to the leading coefficient of f.
(d) 6
The degree of f relies on the number of times the function touches the x-axis.
Multiplicity: the number of times any given x-intercept appears in the equation
If an x-intercept passes through the x-axis, then that intercept has a multiplicity of 1If an x-intercept bounces off of the x-axis, then that intercept has a multiplicity of 2If an x-intercept passes through the x-axis, but flattens out when it touches the x-axis, then that intercept has a multiplicity of 3Adding up the multiplicities of all of the x-intercepts gives you the degree of the function.
In this problem, there are x-intercepts that simply pass through the x-axis at -9, -6, 8, and 10, and an x-intercept that bounces off of the x-axis at 0, which makes it a function of degree 6.
(a) The function f is decreasing over the intervals (-∞, -8), (-4, 0), and (5, 7)
(b) The function f has local maximum at x = -4, and x = 5
(c) The sign of the leading coefficient is (positive) +
(d) The possibility for the degree of the polynomial is 6
The reasons for the above selected values are as follows:
(a) A function is decreasing over an interval where the values of the function decreases simultaneously as the input value increases
From the graph, in the region for the input x-values of -∞ to -8, we have;
The output y-value decreasing from infinity to -3
Therefore, the function decreases over the interval (-∞, -8)
Similarly, between the points (-4, 2), and (0, 0), we have:
The input x-values is increasing from x = -4 to x = 0
The output y-values is decreasing from y = 2 to y = 0
Therefore, the function is decreasing over the x-interval (-4, 0)
The output y-values of the function also decreases as the input values increase between the points (5, 4) and (7, -2), which is the interval (5, 7)
Therefore, the function decreases over the interval (5, 7)
The intervals over which the function decreases are;
(-∞, -8), (-4, 0), and (5, 7)
(b) A local maxima is a point that has a larger y-value, compared to other surrounding points
The point x is a local maximum if f(x) ≥ f(z) for all z in (a, b), where a < x < b
In the interval (-8, 0), f(-4) =2 > f(-8) = -3, and f(-4) = 2 > f(0) = 0
Therefore, the point (x, f(x)) = (-4, 2) is a local maximum point
Similarly, in the interval, (0, 9), we have; f(0) = 0 < f(5) = 4 > f(9) = -2 therefore, the point (x, f(x)) = (5, 4) is a local maxima
The local maxima are (-4, 2), and (5, 4), and the function f has local maximum at x = -4, and x = 5
(c) The leading coefficient is the numerical value that multiplies the variable having the highest exponent
The sign and number type of the leading coefficient determines the end behavior
[tex]\begin{array}{cll} \mathbf{Degree \ of \ the \ polynomial}&& \mathbf{Leading \ coefficient}\\\\&\mathbf{Positive (+)}&\mathbf{Negative(-)}\\\\Even&f(x) \rightarrow \infty \ as \ x \rightarrow \pm \infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \pm \infty\\\\Odd &f(x) \rightarrow \infty \ as \ x \rightarrow \infty&f(x) \rightarrow \infty \ as \ x \rightarrow -\infty\\\\Odd&f(x) \rightarrow -\infty \ as \ x \rightarrow -\infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \infty\end{array}[/tex]
The end behavior of the given graph is as x → ±∞, f(x) → ∞, therefore, the
sign of the leading coefficient is positive (+)
(d) The degree of the polynomial is given by the number and nature of the graph crossing of the x-axis
The graph crosses the x-axis and appears straight across the intercept at 4 points given 4 zeros
The graph bounces of the x-axis at (0, 0), giving 2 zeros
Therefore, the total number of zeros = 4 + 2 = 6 = The degree of the polynomial
The possible degree of the polynomial = 6
Learn more about polynomial function graphs here:
https://brainly.com/question/17155216
42 dollars is 72% of what number
Answers
58.33
60 points! Mhanifa please help I don’t want people to continue putting random answers!! Random answers will be reported!!
Answers
Answer:
yes the is enough imformation because of the tick marks
Step-by-step explanation:
Triangle 1. Angle-Side-Angle (ASA) Congruence
Triangle 2. Side-Angle-Side (SAS) Congruence
Triangle 3. Angle-Side-Angle (ASA) Congruence / Side-Angle-Side (SAS) Congruence
Twenty-five percent of the students played musical instruments. What fraction of the students played musical instruments?
Answers
Answer:
1/4
because it takes fours 25s to make 100, therefore it is 1 out of four or 1/4
Whats is -1/2 +(3/4 x 4/9) =?
Answers
Answer:
-0.1666666666
Step-by-step explanation:
-0.1666666666
2+3(6 - 7 ) 5 - 2 ( 9 + 4 ) =
Answers
Answer: -39
Step-by-step explanation:
2+3• 5-2•13=
2+15-26=
17-26=
-9
cos x= 3/4, s in quadrant 1
Answers
Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
Need Help! The questions in the png
Answers
Answer:
what
Step-by-step explanation:
The school team has 80 swimmers. The ratio of seventh-grade swimmers to all swimmers is 5 : 16. Write a proportion that gives the number s
of seventh-grade swimmers.
Answers
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
a. f(–3) = –5
b. f(–3, –5) = –8
c. f(–5) = –3
d. f(–5, –3) = –2
Answers
Answer:
a. f(–3) = –5
Step-by-step explanation:
On a graph, point (x, y) can be also represented as function f (x) = y
it means that if f(x) has input value as x then its output value will be y.
Now given that in the problem that
The point (–3, –5) lies on the graph
it means that for function input value of of -3 has the out put value of -5
which can also be written as
f(-3) = -5
Hence the correct choice is a. f(–3) = –5.
How do i do this 5th grade math ?
Answers
Answer:
2 and 4
Step-by-step explanation:
a farmer takes 1 week to fill 4 bins of corn.At this rate, how long will it take to fill 200 bins
Answers
Answer: 200 divided by 4 = 50 so the answer should be 50 weeks.
Step-by-step explanation:
Which statement is true about the angles in triangle PQR?
Answers
عربيععربيعربيع ربيعربيعربيعربعربيععربيعربيع ربيعربيعربيعرب 5htrhtrweg
(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°
Step-by-step explanation:
All triangles, when their three angles are added up, gets us 180°.
This goes without saying, even with scalene triangles.
Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.
Hope this helped!