Find the missing length.
Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
![Find The Missing Length.Pythagorean Theorem:[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/E2HGCJgVYuWGvAgpXTAGaODP2S2Bh03W.jpeg)
Answers
Answer:
[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
So from the question we have
[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]
Hope this helps you
Related Questions
PLEASE HELP, I AM BEING TIMED!!
Assume line M and N are parallel lines cut by transversal L. Find the value of X.
Options: A: X= -0.2
B: X=1.2
C: X=2
D: X=18.2
Answers
Answer: C) X=2
Step-by-step explanation: These angles are equal because they alternate exterior angles. Set them equal to each other, and just solve for x.
yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g
Answers
Step-by-step explanation:
[tex]16 {}^{x} = \frac{1}{64} [/tex]
[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]
[tex]2x = - 3[/tex]
[tex]x = - \frac{3}{2} [/tex]
Answer:
x = -3/2
Step-by-step explanation:
We make both numbers have the same bases.
We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.
2^4x = 2^-6
Let exponents equal each other.
4x = -6
x = 6/4 = -3/2
x = -3/2
The graph shows the yearly balance, in dollars, in an investment account.
5,000
4,000
3,000
amount in dollars
.
2.000
1,000
0
2
4
12
14
6 8 10
number of years
a. What is the initial balance in the account?
Answers
Take 2 points
(0,5000)(2,4000)Slope:-
[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]
[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]
Initial amount=y intercept=5000A bagel costs $2.15 and cream cheese
costs $0.75. If you buy milk for $2.00, is
$5.00 enough to cover the cost of all
items? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
You do have enough money because 2.15+0.75+2.00 is = to 4.90 and we know that 4.90 is less than 5.00
$2.15 + $0.75 = $2.90
$2.90 + $2.00 = $4.90
Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple, determine the value of x.
Answers
Work Shown:
[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]
The required value in (36,25,x) is an O'Hara triple, of x is 11.
Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple, To determine the value of x.
In mathematics, it deals with numbers of operations according to the statements.
From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in (36,25,x) can be determined in the same manner.
Following the example,
√36+√25=x
6 + 5 = x
x = 11
Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Which of the following is equal to 213 ÷ 3?
A.
(210 ÷ 3) + (3 ÷ 3)
B.
(210 + 3) ÷ (3 + 3)
C.
(210 ÷ 3) + (210 ÷ 3)
Answers
Answer:
210/3+3/3
Step-by-step explanation:
210/3=70+3=73/3=71
213/3=71
The sides of a triangle are as follows:
2x – 4
x + 5
3x + 3
Find x if the perimeter of the triangle is 100 in.
Set up an equation and solve.
show work
Answers
Answer:
x=16
Step-by-step explanation:
(2x-4)+(x+5)+(3x+3)=100
6x+4=100
6x=96
x=16
Hallie participates in the freestyle event for the school swim team. The fastest she can swim is 25 meters in 22 seconds. At this rate, in how many minutes could she swim the 200 meter freestyle event?
Answers
Answer:
2 minutes 16 seconds
Step-by-step explanation:
200/25=8
8x22=176
Help me, the question is in the picture
Thank you :)
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
800g gives a better value for money
Step-by-step explanation:
To find which box which gives you better value for money
Divide the gram by the cost of the cereal
1st calculations
--› 500g ÷ $2.5
=> 200
2nd calculations
--› 800g ÷ $3.95
=> 202.5316455696202
so the question that the value is bigger which is 800g= 202.5316455696202 gives you more money value
Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8
Answers
Answer:
(2, 6 )
Step-by-step explanation:
- 8x + 2y = - 4 → (1)
- 7x + y = - 8 ( add 7x to both sides )
y = 7x - 8 → (2)
substitute y = 7x - 8 into (1)
- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side
- 8x + 14x - 16 = - 4
6x - 16 = - 4 ( add 16 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
substitute x ;= 2 into (2)
y = 7(2) - 8 = 14 - 8 = 6
solution is (2, 6 )
(35n3 - 30n2 + 25n) ÷ (-5n) -7n 2 - 6n - 5 -7n 2 + 6n - 5 -7n 2 - 6n + 5
Answers
Answer:
- 28n^2 - 10
Step-by-step explanation:
Find Area of each shaded sector. Round to the hundredths place.
Answers
Check the picture below.
so the area that is not shaded has a total of 90° + 26° = 116°.
a circle has a total of 360°, so the area that is shaded must be 360° - 116° = 244°, and it has a radius of 25.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]
Answer:
1330.81
Step-by-step explanation:
I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!
Quadratic Equations
How to find x and y-intercepts from vertex form (not standard).
Answers
mark opens a bank account with $20. He plans to put in $5 each week. c. write an equation to represent the total amount of money mark has in his account over time
Answers
Answer:
y=$35
Step-by-step explanation:
y= total number in your account
x= # of weeks
y=5x + 20
y=10x + 5
x=3 weeks
What is the median of the following dataset? (1,5,6,3,4,5,6,8,9)
Answers
Answer:
The median would be the second 5
Therefore our answer would be 5
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory
(x−119)÷7=6
Could anyone please help?
Answers
Answer:
x
=
161
Step-by-step explanation:
Multiply both sides of the equation by
7
.
7
⋅
(
x
−
119
)
÷
7
=
7
⋅
6
Simplify both sides of the equation.
Tap for more steps...
x
−
119
=
42
Move all terms not containing
x
to the right side of the equation.
Answer:
161
Step-by-step explanation:
Step 1:
( x - 119 ) ÷ 7 = 6 Equation
Step 2:
( x - 119 ) = 42 Multiply 7 on both sides
Step 3:
x = 42 + 119 Add 119 on both sides
Answer:
x = 161 Add
Hope This Helps :)
Determine the number and type of solutions of the quadratic
equation.
- 4x2 - 4x – 1=0
O one imaginary solution
O two real solutions
O one real solution
O two imaginary solutions
Answers
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions.
42,300 as a multiple of a power of 10
Answers
I think it is
I4.23 x 10 ^4
The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in feet, d, that the truck rolls is represented by the function d=f(t)=0.5t2. Using this function, find out how far the truck will roll after 9 seconds.
Answers
Answer:
The truck will roll 40.5 feet from top of the hill after 9 seconds.
Step-by-step explanation:
Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:
[tex]f(t) = 0.5\cdot t^{2}[/tex]
Where [tex]t[/tex] is the time, measured in seconds.
By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:
[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]
[tex]f(9\,s) = 40.5\,ft[/tex]
The truck will roll 40.5 feet from top of the hill after 9 seconds.
Help me with this question!!
Answers
find the value of x that makes f(x) continuous
Answers
Answer:
the answer for this question is -4
The line shown represents the amount of money left on a gift card, y, after Mina buys lattes. After buying 2 lattes, she has $2 left. What is an equation of the line in point-slope form?
Answers
Answer:
[tex]y-2 = -3(x-2)[/tex]
Step-by-step explanation:
Find the diagram to the question attached.
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex] where:
m is the slope of the line
[tex](x_0, y_0)[/tex] is coordinate point on the line
First is to get the slope of the line.
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)
[tex]m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3[/tex]
Hence the slope is -3
Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)
[tex]y-y_0 = m(x-x_0)\\y-2 = -3(x-2)[/tex]
Hence the equation of the line in point-slope form is [tex]y-2 = -3(x-2)[/tex]
A rock sample has a mass of 16 grams and a volume of 8 cubic centimeters. 'When the
rock is cut in half, what is the volume and density of each piece?
Answers
Answer:
Volume= 4 cm³
Density= 2 g/cm³
Step-by-step explanation:
We have the following data:
volume= V= 8 cm³
mass= m= 16 g
The density is the mass per volume of a substance, so the density of the rock is:
density= d= 16 g/8 cm³= 2 g/cm³
When we cut the rock in half, we have a half volume and a half mass:
V= 8 cm³/2= 4 cm³
m= 16 g/2= 8 g
But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:
d = m/V= 8 g/4 cm³= 2 g/cm³
Given: m∠ABC = m∠CBD Prove: Ray B C bisects ∠ABD. 3 lines extend from point B. One line extends to point A, another to C, and another to D. Justify each step in the flowchart proof. A flow chart with 3 boxes that are labeled A, B, C, from top to bottom. Box A contains m angle A B C = m angle C B D. Box B contains angle A B C is-congruent-to angle C B D. Box C contains Ray B C bisects angle A B D.
Answers
Answer:
Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)
Step-by-step explanation:
The given information are;
m∠ABC = m∠CBD
To prove that Ray BC bisects m∠ABD
The description is therefore;
Three lines (AB, BC, and BD) that meet at a point
The content of Box A = m∠ABC = m∠CBD
The content of Box B = m∠ABC ≅ m∠CBD
The content of Box C = Ray BC bisects m∠ABD
Therefore, we have;
m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)
m∠ABC = m∠CBD (Given)
∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)
m∠ABC is adjacent to m∠CBD (Description of the angles)
Line BC is common to m∠ABC and m∠CBD (Description of the angles)
Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).
Answer:
c
Step-by-step explanation:
edg
2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)?
A. (2,0) and (-1,0)
B. (2,0) and (-3,0)
C. (-2,0) and (1,0)
D. (-2,0) and (3,0)
Answers
Answer:
I think A. I got (2,0) and (-0.5,0). Weird.
Step-by-step explanation:
9. List the sides of each triangle in order from shortest to longest.
Answers
Answer:
C, B, A
Step-by-step explanation:
Who ever is reading this:
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U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
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Pls pass this on. Everyone deserves to know this. ♥️♥️
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This one is about rate of change and has 2 questions that need two answers.
At 6:00 am, there was 1 inch of snow on the ground. By 11 am, there were 4 inches of snow on the ground. What is the average rate of change?
If the snow continues to fall at the same rate, how much snow will be on the ground by 1:00 pm.
Answers
Answer:
0.6 inches per hours
5.2 inches on the ground by 1:00 pm
Step-by-step explanation:
Let x = number of hours after midnight
Let y = height of snow (in inches)
Information presented as ordered pairs (x, y):
(6, 1)
(11, 4)
[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]
Written as a linear equation:
[tex]y-1=\dfrac35(x-6)[/tex]
[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]
1:00 pm = 13 hours after midnight
Therefore, when x = 13:
[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]
[tex]\implies y=5.2 \textsf{ inches}[/tex]
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle?
R
N
P
E
H Н
F
O angles P, Q, and R
Bangles M. Land
OC angles A and B
OD angles and
Engles M N and P
Answers
Answer:c
Step-by-step explanation:
What is the sample? all state households 1565 households surveyed 1127 households that owned televisions.
Answers
The percentage of the household survey that owned televisions is 72%. And the sample is defined below.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
What is a sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be
[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Answer:
1565 households surveyed
Step-by-step explanation:
I did this on edge :)
The L.C.M of 7 and 21 is what? first person Brainliest answer
Answers
Answer:
[tex]\huge\colorbox{navy}{Answer}[/tex]
[tex]lcm\: of \:7 \:and \:21 = 21 \: \: \: [/tex]
Answer:
21 is the l.c.m of 7 and 21
explanation:
[tex]\sf \bold \mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]
7 : 7
21 : 3 * 7
.
multiply, 7 * 3 = 21 - which is divisible by both 21 and 7