Answers
Answer:
52 cm
Step-by-step explanation:
Use the pythagorean theorem to solve for missing sides in a right triangle.
20²+48²= missing side
20²+48²=2704
Take the square root of 2704 to get the missing side.
[tex] \sqrt{2704 } = 52[/tex]
Answer :
52 cm⠀
Explanation :
This is Right Angled Triangle.⠀
Solution :
We'll solve this using the Pythagorean Theorem.
where,
AB (20 cm) is the perpendicularBC (48 cm) is the Base.AC is the Hypotenuse.⠀
We know that,
[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]
We know that, (20)² = 400 and (48)² = 2304. So,
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]
Now, adding 400 and 2304 we get :
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from AC :
[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]
When we take the square root of (AC)² , it becomes AC,
[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]
We know that, square root of 2704 is 52 .
[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]
So,
The measure of the missing side (AC) is 52 cm .
Related Questions
Use the graph to complete the follow statement. _____ cm of rain fell in total on Tuesday.
Answers
Can you help me with this problem it is greatly appreciated
Answers
Answer:
Mikiala, just remember π is just a number. sooo
Step-by-step explanation:
we need a formula for area of a cone which is (1/3) * π * r² * h
A = area , then
A= (1/3) * π * r² * h
now just solve with the known info
A = 1/3 * π* [tex]6^{2}[/tex] *16
A= 192π
Answer:
603.2
Step-by-step explanation:
Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h
Question 13 options:
What is the slope of the line of the graph?
Answers
Answer:
Step-by-step explanation:
To find the slope, pick any two points fromthe line.
(2,2) & (0,-4)
x₁ = 2 & y₁ = 2
x₂ = 0 & y₂ = - 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]
Slope = 3
At y-intercept x = 0.
From the graph, y-intercept = -4
Equation of the line: y = mx + b
y = 3x - 4
Write -1/3c^2(1.2d^2-6c) as a polynomial
Answers
Answer:
[tex]-\dfrac25c^2d^2+2c^3[/tex]
Step-by-step explanation:
[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]
[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]
[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]
[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]
timomthy began his math homework at 5:17 pm he finished at 5:49 how many minutes did he send on his math homework
Answers
Answer:
32 minutes
Step-by-step explanation:
49 - 17 = 32
Timothy spent 32 minutes on his math homework.
Answer: just count from 17 to 49 and then boom answer!!! that is if its still pm when he is done.
Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY
Answers
Answer:
y+2 if this is correct can u mark me brainliest?
Help me find the answer to this area of a kite problem
Answers
Answer:
Below in bold.
Step-by-step explanation:
Area of a kite = 1/2 * D1 * D2 were D1 and D2 are the 2 diagonals
D1 = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9
So area = 1/2 * 7.5 * 9
= 33.75.
Answer:
33.75 Ft
Step-by-step explanation:
(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2
Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
48
66
24
33
Item at position 2
2
1 point
Item at position 2
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
132 degrees
96 degrees
180 degrees
90 degrees
Item at position 3
3
1 point
Item at position 3
Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
90
20
12
5/2
Item at position 4
4
1 point
Item at position 4
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
29 degrees
55 degrees
90 degrees
20 degrees
Item at position 5
5
1 point
Item at position 5
Think carefully about the angle relationship the following represents.
What is the value of x ?
Think carefully about the angle relationship the following represents.
What is the value of x ?
42
18
26
5
Item at position 6
6
1 point
Item at position 6
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
180 degrees
90 degrees
100 degrees
126 degrees
Answers
Answer:
See below ↓↓↓
Step-by-step explanation:
Subquestion #1
These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66Subquestion #2
These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12Subquestion #3
As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42#1
Linear pair[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]
[tex]\\ \rm\Rrightarrow x+24=90[/tex]
[tex]\\ \rm\Rrightarrow x=66[/tex]
#2
Complementary angles[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]
[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]
[tex]\\ \rm\Rrightarrow 4x=48[/tex]
[tex]\\ \rm\Rrightarrow x=12[/tex]
4x+7=4(12)+7=55°#3
[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]
[tex]\\ \rm\Rrightarrow 3x=126[/tex]
[tex]\\ \rm\Rrightarrow x=42[/tex]
Rachel's aunt gave her $85 to spend on
school spirit items. Rachel bought 4 pens
for $0.85 each, a hoodie for $45.50, and
5 folders for $2.79 each. How much
money did she have left?
A $22.15
B $19.36
C $62.85
D $35.86
Answers
The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is $22.15.
How much does Rachel have left?In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.
Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85
Change = $85 - $62.85 = $22.15
To learn more about addition, please check: https://brainly.com/question/19628082
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Each month, Alex’s cellphone plan costs
$15, plus $0.10 per minute of use.
Which graph could represent Alex’s total
monthly cost?
Answers
Answer:
Graph-d
Step-by-step explanation:
We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:
[tex]y = mx + b[/tex]
in this case,
m represents the cost of Alex's per minute of useb represents the initial costs of Alex's cellphone planm represents the number of minutesy represents the amount of total monthly costSince Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is
⇒[tex]y=\dfrac{1}{10}x+15[/tex]In conclusion
Graph d represents Alex’s total monthly cost
Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10
Answers
Answer:
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
Step-by-step explanation:
Circle is touching y-axis at point (0, 3) and is centered at (2, 3)
-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 =r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-2)^2 +(y-3)^2 =2^2[/tex]
[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
This is the required equation of the circle.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. they are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (–425)2 (–275)2 (325)2 (75)2 (–75)2 = 423,750 (650)2 (–150)2 (–600)2 (250)2 (150)2 (–300)2 = 980,000 (250)2 (–400)2 (–250)2 (350)2 (100)2 (–50)2 = 420,000 what is the variance? what is the standard deviation, rounded to the nearest whole number?
Answers
Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
What are the variance and standard deviation?In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.
2,400; 1,750; 1,900; 2,500; 2,250; 2,100
we need to find which of the following represents the numerator in the calculation of variance and standard deviation.
(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750
(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000
(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000
92416.60
The variance is 84000
The standard deviation is 290
mean = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
Learn more about variance;
https://brainly.com/question/14116780
Jacob has $4,800 to invest in a saving account. He receives a steady interest rate of 3. 35% compunded quarterly. He would like to save or the next 5 years and then take his money out. What would be his balace at the end of the 5 years?
$9,354. 20
$7,211. 74
$5,671. 30
$5,604. 0
Answers
Answer:
5671.30
Step-by-step explanation:
periods = 5 years quarterly = 20 periods
interest per period .0335/4 (4 periods per year)
initially 4800
FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30
What is the largest whole number I could be if 9 + I is larger than 28?
Answers
Answer:
20 and greater than 20
If you add 9 and 20, you get 29, which is one greater than 28.__________________________________________________________
Questions?Ask me in the comments box.
Yo I need to bring up my grade bad so
-3x-9=-3y
(please show it graphed already :D)
Answers
Answer:
Step-by-step explanation:
please help I don't know the median
Answers
Answer:8
Step-by-step explanation:
least to greatest:6,8,8,9,9
crossout the ends:6,9 and 8,9
what is left in the middle:8
Answer:
6
Step-by-step explanation:
Median is the middle of the data set which is 6.
geometry help
answer choices:
24
12
82
59
Answers
largest arc - smallest arc = 2•angle
94-70=24
24/2=A
A=12
The measure of the angle ∠A will be 12°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.
From the diagram, the equation is given as,
∠A = (arc DE - arc BC) / 2
∠A = (94° - 70°) / 2
∠A = 24° / 2
∠A = 12°
The measure of the angle ∠A will be 12°. Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ7
ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.
for classroom use.
Answers
Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
16. The population density of football stadium is.57 people per square foot. If the area of the stadium is 1,750,000 ft?,
then about how many people are in the stadium?
Answers
Answer:
99750000 people
Step-by-step explanation:
1,750,000*57=99750000
Which choice describes an equation
that has a solution set of
"All real numbers"?
3(x + 1) = 3x + 3
Answers
Answer:
Step-by-step explanation:
Remark
Choose any number at all and see what happens.
Suppose x = 8
3*(8 + 1) = 3*8 + 3
3(9) = 27
3*8 + 3 = 24 + 3 = 27
What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)
If choice two is false then choice one must be true since these results may give the only 2 possible results.
I need help on this
Answers
Answer:
a) 1/8
b) 8
Step-by-step explanation:
a) 1/2 x 1/2 x 1/2 = 1/8
b) since the exponent is negative it becomes positive when placed in the denominator
so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2
therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8
Find the image of Y(-7,4) after a dilation centered at the origin with a scale factor of -3
F= Y(-21,12)
G=Y(12,-21)
H=Y(21,-12)
J=Y(-12,21)
Answers
Answer:
H = Y (21, -12)
Step-by-step explanation:
Given
Y = (-7, 4)Dilation of -3Solving
Multiply the x-value and y-value of the coordinate by -3Y = (-7 x -3, 4 x -3)Y = (21, -12)The required image point is H=Y(21, -12)
What will happened with scale factor ?If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.
How to find the required image point ?Here the given point is Y(-7, 4)
After the dilation centered at origin, the scale factor is -3
∴ The x co-ordinate is (-7)×(-3)=21
& the y co-ordinate is 4×(-3)= -12
Hence the image is Y(21, -12)
Learn more about scale factor here :
https://brainly.com/question/27351495
#SPJ2
32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME
Answers
Answer:
62
Step-by-step explanation:
In this scenario, we would use BODMAS to determine where to start.
B - Brackets
O- Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
First, let's start with the brackets.
16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.
16 X [tex]\frac{1}{2}[/tex] = 8
Next is the division sum.
32 ÷ 4 = 8
Afterwards, we multiply both answers.
8 X 8 = 64
Your answer is then minused by 2 and leads to the final answer.
64 - 2 = 62
someone please answer these 3 questions
Answers
Answer:
5 prism all have same volume
Step-by-step explanation:
heeeeeeeellllllllllllpppppppppppppp
Answers
The percentage of executives in a certain industry receiving cash signing bonuses is increasing. the percentage is given by the function b(t)= 4.891(1.331)^t. where r is the number of years since 1996. find the percentage of executives receiving signing bonuses in 2000 and in 2001.
Answers
The function b(t)= 4.891(1.331)^t is an exponential function
The percentage of executives in 2000 is 15.35The percentage of executives in 2001 is 20.43The percentage of executives in 2000The function is given as:
b(t)= 4.891(1.331)^t.
2000 is 4 years from 1996.
This means that t = 4
So, we have:
b(4)= 4.891(1.331)^4
Evaluate
b(4)= 15.35
So, the percentage of executives in 2000 is 15.35
The percentage of executives in 20012001 is 5 years from 1996.
This means that t = 5
So, we have:
b(5)= 4.891(1.331)^5
Evaluate
b(5)= 20.43
Hence, the percentage of executives in 2001 is 20.43
Read more about exponential functions at:
https://brainly.com/question/24077767
A ten sided die is rolled.
P (3 or 5)
Answers
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answers
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
See below
Step-by-step explanation:
From the graph :
y = -x -inf < x <=0
y = x 0<= x <= 2
y = 3 x > 2
Find the value of x.
I’m desperate for help
Answers
Answer:
the answer is 24 since 24 x 5 = 120
Step-by-step explanation:
Hope this helps you!
