Answer:
yes
Step-by-step explanation:
By pythagoras' theorem,
97^2 = 9409
65^2 + 72^2 = 9409
since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle
This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The given sides form a right angled triangle , beacuse (hypotenuse)^2 = (base)^2 + (height)^2
What is Pythagoras theorem ?The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
According to the Pythagoras theorem ,
In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.
⇒ (hypotenuse)^2 = (base)^2 + (height)^2
∴ (65)^2 + (72)^2 = (97)^2
⇒ 4225 + 5184 = 9409
⇒ (97)^2 = 9409
∴ 9409 = 9409
Hence, the given sides form a right angled triangle.
To learn more about the Pythagoras theorem here:
https://brainly.com/question/12381687
#SPJ3
for f(x) = -8x +8, find f(-3)
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
pls help me with this lol
Answer:
a) 95 miles
b) Chester
c) 194 miles
Step-by-step explanation:
Chart Reading
From the chart, we can know the relative distances from each place as follows:
a) From Hereford to Chester there are 95 miles
b) Kendal is 99 miles from Chester
c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles
Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.
Strugglingggggg.....
Answer:
x = - 3, x = - 2, x = 0
Step-by-step explanation:
Given
x³ + 5x² + 6x ← factor out x from each term
= x(x² + 5x +6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 2 and + 3 , since
2 × 3 = + 6 and 2 + 3 = + 5 , thus
x² + 5x + 6 = (x + 2)(x + 3) , and
f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)
To find the zeros equate f(x) to zero, that is
x(x + 2)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
Zeros from least to greatest are x = - 3, x = - 2, x = 0
what is the product of
(2x+3)(4x²-5x+6)
Answer:
24x^3-30x^2+36x
Step-by-step explanation:
you distribute.
(2x+3)(4x^2-5x+6)
distribute the 2x first
3(4x^2*2x-5x*2x+6*2x)
then simplify
3(8x^3-10x^2+12x)
then distribute again (I'm distributing and multiplying it out in this step)
24x^3-30x^2+36x
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
I need the answer to this question please 4(3 - 2x) = 15
The correct answer would be -3/8 or in decimal form -0.375 :)
Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed
Answer:
45 students passed the test
Step-by-step explanation:
900/100x5/1=45
Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
A. (-3,-5), because the point satisfies ONE of the equations
B. (-3,-5), because the point lies between the two axes
C. (-4,-8), because the point satisfies BOTH equations
D. (-4,-8), because the point does not lie on any axis
Answer:
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]
[tex]y-3x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-x=-4}[/tex]
[tex]-2x=8[/tex]
[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]
solve for x
[tex]-2x=8[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]
[tex]x=-4[/tex]
[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]
[tex]y-\left(-4\right)=-4[/tex]
[tex]y+4=-4[/tex]
[tex]y=-8[/tex]
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
A watercooler contains 160 cups of water. During practice, each person on a team fills a water bottle with 3 1/3 cups of water from the cooler. How many water bottles can a team fill from a single watercooler?
Answer: Number of water bottles a team can fill from a single watercooler = 48
Step-by-step explanation:
Given: A watercooler contains 160 cups of water.
Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.
Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]
Now , Number of water bottles a team can fill from a single watercooler = [tex]160\div \dfrac {10}3[/tex]
[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]
Hence, Number of water bottles a team can fill from a single watercooler = 48
Number of water bottle IT team can feel a single watercooler =48
Determine the correlation:
How much you study vs. The grade you get on your test
A- positive correlation
B- negative correlation
C- no correlation
PLEASE HELP NOW LIKE LITERALLY. ILL GIVE BRAINLIST AND FULL STAR!!
Answer:
A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)
Step-by-step explanation:
rise over run, otherwise I don't know what you'd be inputting
Answer:
A. 3/2
B. 2/5
C. 1
D. 2
E. 1/4
F. 0
PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?
At Springfield Middle School, there are n 7th graders, and p% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p
Answer:
(1-0.01p)/n
Step-by-step explanation:
Mathematically;
Percentage of student playing at least one sport = 100% - Percentage of students playing no sport
Mathematically, that would be;
Percentage playing no sport = 100% - p%
So, to find this in n 7th graders
we have;
(100-p)/100 * n
= 100-P/100n = 1/n - P/100n
= 1/n - 0.01p/n
= (1-0.01p)/n
WORTH BRAINLIEST!
of you help me
Answer:
8. [tex]\frac{55}{-11} \\[/tex]
9. -38 ÷ 19
10. -4 ÷ -2
11. 190° im pretty sure
Step-by-step explanation:
Convert 75% into a fraction and shade the circle according to the result.
Answer:
The answer is literally 3/4 as a fraction and you have to shade 15 parts.
what takes money out of your savings account? debit card or credit card
Answer:
Debit cards have a savings account
Step-by-step explanation:
i learned this in school
Let f be the function with derivative given by f'(x)=cos(2x^2 -1). How many relative extrema does f have on the interval 2 < x < 4?
the slope of (2,11) and (10,4)
Answer:
-7/8
Step-by-step explanation:
the formula for calculating slope for the given coordinates is:
(y2-y1)/(x2-x1)
so (2,11) = (x1,y1)
and (10,4) = (x2,y2)
then putting the values in the formula.
In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.
Step-by-step explanation:
c is greatest angle
where as b is smallest
Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).
An equation is −109.3=
.
The outside temperature is
∘F.
Answer:
Step-by-step explanation:-109.3=t-184.9
T=75.6
PLEASE HELP!!! WILL MARK BRAINLEST!!
The solution of an equation with two variables, x and y, is:
1) The set of all x values that make y = 0
2) The set of all y values that make x = 0
3) The set of all ordered pairs, (x,y), that make the equation true
4) The set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis
Answer:
3
Step-by-step explanation:
3) because thhe solution should be equal to the values that x and y could take to make the equation true
how would the school work differently if any of the locations above were missing
Answer:
huh what locations
Step-by-step explanation:
Answer:
Above what?
Step-by-step explanation:
i need desperate help i dont care abt work
Answer:
75%
Step-by-step explanation:
add them together
posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT
Answer:
ill try to help you
Step-by-step explanation:
1. y=3x+1
2. y= -1.5x+3
3. y=0.5x-3
4. y= 3x
hope this helps
take care
HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
its red okay? i hop help
Answer:3:1. Yellow
Step-by-step explanation:
Thanks for the help UwU
Answer:
a is the answer you are looking for
Step-by-step explanation:
A
Answer:
C
Step-by-step explanation:
The equation is y = 75x + 250. The y intercept is 250, and it is stated that Carlos bought the phone for $250.
What is the value of x that makes the statement true?
7x + 9 = 5x + 39
x =
Answer:
15
Step-by-step explanation:
7x+9=5x+39
7x-5x=39-9
2x=30
30/2=x
x=15
HELP !!!!!40 POINTS AVAILABLE
2. d+g/h. When d=29, g = 16. and h=9
(1 point)
A.8
B.2.375
C.5.375
D.5
Answer:
5
Step-by-step explanation:
29 plus 16 is 45 and 45 divided into 9 is 5
9. Matt bought a new crate for his dog. The old crate was 8 square feet, and the new crate was 12 square feet. What is the percent increase in the space?
Solution:
It is given that :
Area of old crate = 8 square feet
Area of the new crate = 12 square feet
Therefore difference in the area = 12 - 8
= 4 square feet
Now the percentage increase in the area of the crate is given by :
[tex]$=\frac{\text{difference in the area of crate}}{\text{original area of crate}} \times 100$[/tex]
[tex]$=\frac{4}{8} \times 100$[/tex]
= 50%
So the percentage increase in space is 50%
Middle School
Mathematics
Find x.
A. 8
B. 12
Answer:
17²=15²+x²
289=225+x²
288-225=x²
64=x²
x=6
Answer:
8
Step-by-step explanation:
By Pythagoras theorem,
(hypotenuse)² = (altitude)² + (base)²
(17)² = x² + (15)²
(17)² - (15)² = x²
289 - 225 = x²
x² = 64
x = √64
x = 8
hope this helps you!