Given:
In a triangle,
[tex]a=7,b=24,c=25[/tex]
To find:
Whether the given segments are the sides of a right triangle or not.
Solution:
In a right triangle the square of largest side is equal to the sum of squares of two smaller side.
[tex]c^2=a^2+b^2[/tex] (Pythagoras theorem)
Three sides are [tex]a=7,b=24,c=25[/tex]. Here, 25 is the largest side.
[tex]25^2=625[/tex]
Now, the sum of squares of two smaller sides is:
[tex](7)^2+(24)^2=49+576[/tex]
[tex](7)^2+(24)^2=625[/tex]
[tex](7)^2+(24)^2=25^2[/tex]
Since the sum of squares of two smaller side is equal to the square of largest side, therefore the given segments are the sides of a right triangle.
You randomly choose one marble from the jar. Find the theoretical probability of the event.
1. Choosing a red marble
2. Choosing a green marble
3. Not choosing a blue marble
Answer:
1. 33%
2. 16%
3. 50%
Step-by-step explanation:
x^(2)-4x-17=0
Please show work step by step
Step-by-step explanation:
It seems here that they are asking us to solve for x
to do this we first need to factor
Since we can't factor this using the normal method we can instead do this
x^2 -4x-17=0
add 4 to both sides as it is a perfect square
x^2 - 4x + 4 = 17 +4
(x-2)^2 = sqrt 21
x-2 = ± 4.58
x -2 = 4.58 x-2 = -4.58
x= 6.58 x=-2.58
Or just say x=2+√21 or x=2−√21
find the sum of the polynomial : (3 x2- 8x + 2) + (3 x3 + 7x + 6) =
Answer:
3x² + 3x³ - x + 8
Step-by-step explanation:
All we have to do is add the terms together
(open parentheses as well)
3x² - 8x + 2 + 3x³ +7x +6
now, simplify
3x²+3x³-x+8
Is x = 7 a solution to the equation 3x - 4 = 15? No Yes
Answer:
no
Step-by-step explanation:
To determine if x = 7 is a solution.
Substitute x = 7 into the equation and if left side equals right side then it is a solution
3(7) - 4 = 21 - 4 = 17 ≠ 15
Then x = 7 is not a solution to the equation
No, x = 7 is not the solution of Equation 3x - 4 = 15
What is an Equation?An Equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that an Equation 3x - 4 = 15
Solving x = 7 we get,
3*7 - 4 = 21 - 4 = 17
17 ≠ 15
Hence, x = 7 is not a solution of the given Equation.
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Naomi used a rectangle, a square, and a right triangle to form the following figure. What is the area of the shaded region of the figure in square centimeters?
Answer:
102cm²
Step-by-step explanation:
Step 1 find the area of the whole rectangle
Area of a rectangle = width times length
The width of the rectangle is 20 cm and the length is 6cm
So the area = 20 * 6
20 * 6 = 120
Hence the area of the rectangle is 120 square centimeters.
Step 2 Find the area of the square and the triangle
Area of square = s²
where s = side length
The square has a side length of 3 so the area of the square = 3²
3² = 9
Hence, the area of the square is 9cm²
Now to find the area of the triangle
area of a triangle = [tex]\frac{bh}{2}[/tex] where b = base length and h = height
We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)
Now to find the base length
We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )
so triangle's base length = 20 - 11 - 3
20 - 11 - 3 = 6
so the base length of the triangle is 6 cm
now we plug in the values of the height and the base length into the formula
[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]
Hence the area of the triangle is 9 cm²
Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle
so your answer = 120 - 9 - 9
120 - 9 - 9 = 102
Hence, the area of the shaded region is 102 square centimeters.
if i get 20 dollars per 5 minutes for 10 hours how many dollars will i make
Answer:
2400 dollars
Step-by-step explanation:
600 minutes in 10 hours
600/5 = 120
120*20 = 2400 dollars
PLEASE HELPPP ME!!!
complete the table.
do not put the link/site it gives me ur info and i can hack it lol.
Answer:
-28.5
-5
-11.8
-4.5
Step-by-step explanation:
From that data provided for Monday
Temperature at noon = temperature at midnight + the change in temperature
-32 + 20 = -12
Temperature on Tuesday's noon = -17.5 + (-11) = -28.5
Temperature on Friday's noon = -21.8 + 17.3 = -4.5
From that data provided for Monday
Temperature at midnight = temperature at noon - change in temperature
-12 - 20 = -32
Temperature on Wednesday's midnight = 10.5 - 15.5 = -5
From that data provided for Monday,
change in temperature = temperature at noon - temperature at midnight
-32 - (-12) = 20
Change in temperature on Thursday = -24 - (-12.2) = -11.8
What is the circumference in centimeters of the circle 24cm
Answer:
75.36
Step-by-step explanation:
C= 2 pi r
c= d pi
c= 24*3.14
c= 75.36
hi please help i’ll give brainliest thanks
Answer:
point A
Step-by-step explanation:
Hope this helps you dude.
Will give Brainliest please help!!!!!!!!!!!!!!
Answer:
4⁷
Step-by-step explanation:
Rule of exponents is:
aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾
4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷
Answer:
Step-by-step explanation:
If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and exhibitors get collected5+2= 7. I hope i helped you!A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117
Answer: A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117
Hope this helps, if I got it wrong, I'm very sorry.
If a basketball is bounced from a height of 15 feet, the function f(x)=15(.75)^x gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth of a foot.
Answer:
3.5595feet
Step-by-step explanation:
Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function
f(x)=15(.75)^x
f(5)=15(.75)^5
f(5)=15(0.2373)
f(5)= 3.5595
Hence the height after the 5th bounce is 3.5595feet
Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot
Step-by-step explanation:
.75 to the power of 5 times 15
Please need help evaluate the math problems
x + y when x = 6 and y = 2
6 + 2 = 8
[tex]\frac{9x+24}{4}[/tex] when x = 12 and y = 20
[tex]\frac{148}{4}[/tex] = 37
[tex]\frac{6m}{n}[/tex] when m = 12 and n = 3
[tex]\frac{72}{3}[/tex] = 24
Six times x
6x
Six increased by x
6 + x
The sum of x and y
x + y
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
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Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.
Answer:
its a on edg 2021
Step-by-step explanation:
The median age of a man at the time of his first marriage is, on the average, constant.
What is the average change rate?It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.
Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.
Determine the rate of change between 1950 and 1960.
The average rate of change = [f(a) - f(b)]/ [ a - b ]
The average rate of change is equal to (22.8 - 22.8) / 10 = 0.
As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.
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Look at this graph :
Is this relation a function?
Step-by-step explanation:
Yes it is a function dearest
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
ggsfgsrgr help please
Answer:
The answer is m=0.10L
Step-by-step explanation:
You just input the values in L in the equation to get M you just do process of elimination
Part I
What is the area of the side yard?
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
find x / solve for x
Answer:
Step-by-step explanation:
Create and solve an equation of ratios:
5 x
--- = ----
4 8
Cross multiplying yields 4x = 40, or x = 10
Find the area of a garden whose circumference is 36 yards.
help me pzz please please
Answer:
Step-by-step explanation:
i dont get it
Answer:
just multiply al the sids like you would with a square
Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?
A) $11,390
B) $112,250
C) $123,640
D) 227,800
Please answer correctly! I will mark you as Brainliest!
Answer:
V = 336 ft3
Step-by-step explanation:
1/2*7*16*6
336
Answer: 336 ft cubed
Step-by-step explanation:
Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336
I need help hurry please
Answer:8.8ft
Step-by-step explanation:
250/3.14*3^2
250/3.14*9
250/28.26
8.8464
8.8ft
What is the value of 4a ^2 when a = 3?
Answer:
36
Step-by-step explanation:
4×(3)²
4×9
36
Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.
Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32
Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
Find the volume of the sphere.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest hundredth.
radius is 8
Answer:
volume = 682.67π units³ or 2143.58 units³
Step-by-step explanation:
volume = 4/3πr³
volume = 4/3π8³ = 4/3π(512)
volume = 682.67π
Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=
Answer:
smaller answer x=-9
larger answer x=1
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+14=23
[tex]x^{2}[/tex]+8x-9=0
D=64+36=100
[tex]x_{1} =\frac{-8+10}{2} =1[/tex]
[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]
so, smaller answer x=-9
larger answer x=1
Answer:
x = - 9, x = 1
Step-by-step explanation:
Given
x² + 8x + 14 = 23 ( subtract 23 from both sides )
x² + 8x - 9 = 0 ← in standard form
(x + 9)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9 ← smaller answer
x - 1 = 0 ⇒ x = 1 ← larger answer