Answers
Explanations:
1st image: The longest side of the triangle is equal to the hypotenuse, which is c squared. Because a squared + b squared equals c squared, that would mean 23 squared + 57 squared equals c squared. 23 squared (23 x 23) equals 529, and 57 squared (57 x 57) equals 3,249. 3,249 + 529 = 3,778. This means that c squared equals 3,778. Now, to find c, we can find the square root of 3,778 which would be 61.5 meters rounded. That’s how I got my answer.
2nd image: 13 squared is the hypotenuse, which equals 169 because 13 x 13 is 169. Therefore, 5 squared (which equals 25) + b squared = 169. 169 - 25 = 144, and that means b squared equals 144. The square root of 144 is 12, so 12 cm is the length of the longer leg.
3rd image: x is equal to the hypotenuse, or c squared. Because the Pythagorean Theorem equation is a squared + b squared = c squared, your equation is 10 squared + 8 squared = x squared. That would make the only relevant answer C.
There are the answers and explanations for all of the problems. If you need further explanation on Pythagorean Theorem, let me know and I will explain!
Related Questions
What is the median of this data set?
22, 37, 49, 15, 72
Answers
Steps:
Order the numbers from least to greatest.
15, 22, 37, 49, 72
The median value is the middle number.
37
Find the measure of PR.
Answers
The length of PR = 18 .
What is a Chord ?A chord is a line segment whose both points lie on the circle.
When a chord is extended it is called secant .
When two chords meet outside the circle , the product of length of the secant and its external segment is equal to the product of length of other secant and its external segment.
According to the given data
FR and FP are the secants of the circle
To determine the measure of PR
From the secant theorem
(7+9) * 9 = (5x+8) * 8
16 * 9 = (5x+8) *8
2 *9 = 5x+8
18 = 5x+8
5x = 10
x = 2
Therefore the length of PR = 5x+8 = 10+8 = 18
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Find the GCF of 12a and 18a²
Answers
Answer:
6
Step-by-step explanation:
the blue factors are all the factors 12 and 18 have in common.
The stock of Company A lost 2% today to $73.50. What was the opening price of the stock in the beginning of the day?
Answers
The opening price of the stock in the beginning of the day will be $75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The stock of Company A lost 2% today to $73.50.
Let x be the opening price of the stock in the beginning of the day.
Then the opening price of the stock in the beginning of the day will be
0.98 · x = 73.5
x = 73.5 / 0.98
x = $75
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How to do this please?️
Answers
Step-by-step explanation:
Using dimensional analysis, let convert km to cm.
[tex] \frac{4cm}{1km} \times \frac{km}{100000 \: cm} [/tex]
Cancel out the km
[tex] \frac{4cm}{100000 \: cm} [/tex]
[tex] \frac{1}{25000 } [/tex]
So n= 25000
iii.
Dimensional Analysis
[tex] \frac{3 \: cm}{1 } \times \frac{km}{100000 \: cm} [/tex]
[tex] \frac{3 \: km}{100000} [/tex]
Or
[tex]0.00003 \: km[/tex]
Please help!!! I will give 20 points to the correct answer !! Thanks so much
Answers
The sequence an = 1(3)n − 1 is graphed below: coordinate plane showing the points 1, 1; 2, 3; and 3, 9 Find the average rate of change between n = 1 and n = 3. (6 points)
Answers
Answer:
4
Step-by-step explanation:
[tex] \frac{9 - 1}{3 - 1} = 4[/tex]
The average rate of change on the interval [3, 9] will be 4.
How to find the average rate of change?The average rate of change between two points is given by the slope formula:
m = average rate of change = (y2 -y1)/(x2 -x1)
The sequence an = 1(3)n − 1 is graphed below:
m = (9 -1)/(3 -1) = 8/2
m = 4
The average rate of change on the interval [3, 9] will be 4.
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Hi can someone please help me with this geometry problem? Thanks!
Answers
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangles ΔEST and ΔEFD are similar triangles, therefore, we can write,
[tex]\dfrac{ES}{EF} = \dfrac{ET}{ED} = \dfrac{ST}{FD}[/tex]
Since S and T are midpoints of EF and ED, the lines will be divided into two equal parts. Therefore,
[tex]\dfrac{ES}{EF} = \dfrac{ET}{ED} = \dfrac{ST}{FD}= \dfrac12[/tex]
Therefore, we can write it as,
[tex]FD = 2 (ST)[/tex]
In ΔEST and ΔTDR
∠T ≅ ∠T {Vertical angles}
ET ≅ TD {T is the midpoint of ED}
∠SET ≅ ∠TDR {Alternate interior angles}
Therefore, ΔEST ≅ ΔTDR.
Since the two triangles are equal we can write,
ST ≅ TR
Further, it can be written as,
FD = 2(ST)
FD = ST + ST
FD = ST + TR
FD = SR
Hence, FD≅SR.
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Hello, thank all of you that helped me fix my math problems you helped me to succeed and get a good grade !!!
Answers
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answers
The true statement is:
"The range of the function is all real numbers less than or equal to 9."
Which statements are true?
Here we have the quadratic function:
[tex]f(x) = -x^2 - 4x + 5[/tex]
And we want to see which of the given statements are true.
The first one is:
"The domain is al real numbers less than or equal to -2"
This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).
The second statement is:
" The domain of the function is all real numbers less than or equal to 9."
Also false
Third one:
" The range of the function is all real numbers less than or equal to −2"
The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.
In this case, the quadratic function is:
[tex]f(x) = -x^2 - 4x + 5[/tex]
So the vertex is at:
[tex]x = 4/(2*-1) = -2\\[/tex]
Then the y-value of the vertex is:
[tex]f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9[/tex]
So the range is the set of all real numbers less than or equal to 9.
So the above statement is false, and the final one:
"The range of the function is all real numbers less than or equal to 9."
Is the true statement.
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(3x + 5y = 7
{ 4x - y = 5
Answers
Answer:
Step-by-step explanation:
Solution by substitution method
3x+5y=7
and 4x-y=5
Suppose,
3x+5y=7→(1)
and 4x-y=5→(2)
Taking equation (2), we have
4x-y=5
⇒y=4x-5→(3)
Putting y=4x-5 in equation (1), we get
3x+5y=7
⇒3x+5(4x-5)=7
⇒3x+20x-25=7
⇒23x-25=7
⇒23x=7+25
⇒23x=32
⇒x=32/23
→(4)
Now, Putting x=32/23
in equation (3), we get
y=4x-5
⇒y=4(32/23)-5
⇒y=(128-115)/23
⇒y=13/23
∴y=13/23 and x=32/23
please i need help so bad
Dilbert invests $2,000 at 6% simple interest for 1 year. How much is in the account at the end of the 1 year period?
Answers
Answer:
$2,120
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $2000r = 6% = 0.06t = 1 yearSubstitute the given values into the formula and solve for A:
⇒ A = 2000(1 + 0.06(1))
⇒ A = 2000(1.06)
⇒ A = 2120
Therefore, there will be $2,120 in the account at the end of the 1 year period.
What is the value of the expression 24 + 3²? What is the value of the expression 24 + 3² ?
Answers
Answer:
33
Step-by-step explanation:
3² = 3.3 = 9 => 24 + 9 = 33
Please help, been stuck on this for ages!
Answers
Answer:
[tex]\boxed {192 cm^{2}}[/tex]
Step-by-step explanation:
Find the volume of separate cuboids :
Volume (top cuboid) :
⇒ V = 2 x 6 x (10 - 2)
⇒ V = 12 x 8
⇒ V = 96 cm²
Volume (lower cuboid) :
⇒ V = 8 x 6 x 2
⇒ V = 48 x 2
⇒ V = 96 cm²
Volume (prism) :
⇒ 96 + 96
⇒ 192 cm²
Write the number five and a quarter million in figures.
Answers
Answer:
5 and a 250,000
Step-by-step explanation:
A quarter million = 1,000,000 · [tex]\frac{1}{4}[/tex] = 250,000
Answer:
It is: 5,250,000
If f(x) = 3x − 1 and g(x) = x + 2, find (ƒ– g)(x)
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:2x - 3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: (f - g)(x)[/tex]
[tex]\qquad \tt \rightarrow \: f(x) - g(x)[/tex]
Simple procedure :
[tex]\qquad \tt \rightarrow \: 3x - 1 - (x + 2)[/tex]
[tex]\qquad \tt \rightarrow \: 3x - 1 - x - 2[/tex]
[tex]\qquad \tt \rightarrow \: 3x - x - 1 - 2[/tex]
[tex]\qquad \tt \rightarrow \: 2x - 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Question 2(Multiple Choice Worth 4 points)
If (89)P=818, what is the value of p?
02
09
10
18
Answers
Answer:
p = 2
Step-by-step explanation:
using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
[tex](8^{9}) ^{2}[/tex] = [tex]8^{9(2)}[/tex] = [tex]8^{18}[/tex]
so value of p = 2
What is an undefined term in geometry?
OA. A sentence that asserts a fact
OB. A term that has no formal definition, but is used to define other
terms
OC. A clause preceded by "if" in a conditional statement
OD. A statement in which the hypothesis and conclusion are switched
Answers
An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms
How to define the term?In geometry, there are four undefined terms.
These terms are:
PointLinePlaneSet.The above items do not have a specific or formal definition. However, they are used to define other terms in geometry
This is the reason they are referred to as undefined terms.
Hence, an undefined term in geometry is (b)
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Somebody please assist me here
Answers
The base case of [tex]n=1[/tex] is trivially true, since
[tex]\displaystyle P\left(\bigcup_{i=1}^1 E_i\right) = P(E_1) = \sum_{i=1}^1 P(E_i)[/tex]
but I think the case of [tex]n=2[/tex] may be a bit more convincing in this role. We have by the inclusion/exclusion principle
[tex]\displaystyle P\left(\bigcup_{i=1}^2 E_i\right) = P(E_1 \cup E_2) \\\\ P\left(\bigcup_{i=1}^2 E_i\right) = P(E_1) + P(E_2) - P(E_1 \cap E_2) \\\\ P\left(\bigcup_{i=1}^2 E_i\right) \le P(E_1) + P(E_2) \\\\ P\left(\bigcup_{i=1}^2 E_i\right) \le \sum_{i=1}^2 P(E_i)[/tex]
with equality if [tex]E_1\cap E_2=\emptyset[/tex].
Now assume the case of [tex]n=k[/tex] is true, that
[tex]\displaystyle P\left(\bigcup_{i=1}^k E_i\right) \le \sum_{i=1}^k P(E_i)[/tex]
We want to use this to prove the claim for [tex]n=k+1[/tex], that
[tex]\displaystyle P\left(\bigcup_{i=1}^{k+1} E_i\right) \le \sum_{i=1}^{k+1} P(E_i)[/tex]
The I/EP tells us
[tex]\displaystyle P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) = P\left(\left(\bigcup\limits_{i=1}^k E_i\right) \cup E_{k+1}\right) \\\\ P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) = P\left(\bigcup\limits_{i=1}^k E_i\right) + P(E_{k+1}) - P\left(\left(\bigcup\limits_{i=1}^k E_i\right) \cap E_{k+1}\right)[/tex]
and by the same argument as in the [tex]n=2[/tex] case, this leads to
[tex]\displaystyle P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) = P\left(\bigcup\limits_{i=1}^k E_i\right) + P(E_{k+1}) - P\left(\left(\bigcup\limits_{i=1}^k E_i\right) \cap E_{k+1}\right) \\\\ P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) \le P\left(\bigcup\limits_{i=1}^k E_i\right) + P(E_{k+1})[/tex]
By the induction hypothesis, we have an upper bound for the probability of the union of the [tex]E_1[/tex] through [tex]E_k[/tex]. The result follows.
[tex]\displaystyle P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) \le P\left(\bigcup\limits_{i=1}^k E_i\right) + P(E_{k+1}) \\\\ P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) \le \sum_{i=1}^k P(E_i) + P(E_{k+1}) \\\\ P\left(\bigcup\limits_{i=1}^{k+1} E_i\right) \le \sum_{i=1}^{k+1} P(E_i)[/tex]
Help me with this question please!! :)
Answers
Answer: 20/63
Step-by-step explanation:
The probability that the first marble is red is 16/28.The probability that the second marble is red is 15/27.Multiplying these probabilities, we get (16/28)(15/27) = 20/63
Given statements:
If a shape is a parallelogram, then opposite angles are congruent.
. A rhombus is a parallelogram.
Which is a logical conclusion from the given statements?
O A rhombus has opposite angles that are congruent.
O The opposite sides of a rhombus are congruent.
O The diagonals of a rhombus are congruent.
O A rhombus is a quadrilateral.
Answers
The logical conclusion from the statement is that
B. The opposite sides of a rhombus are congruent.
How to deduce the information?From the information given, if shape is a parallelogram, then opposite angles are congruent.
In this case, since the rhombus is a parallelogram, then the opposite sides of a rhombus are congruent.
In conclusion, the correct option is B.
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Gabrielle is 10 years older than Mikhail. The sum of their ages is 84. What is Mikhail's age?
Answers
Answer:
Hence the age of Mikhail is 37 and the age of Grabrielle is 47
Answer:
Here;
Gabrielle age= 10yrs older that M..= 16 + 10= 26yrs old.
Sum of their age= 84
Now;
100 - 84
16,,
I need help pls help
Answers
Answer:
550g
Step-by-step explanation:
total g in 1 kg is 1000
so 1000 - 550 =450
Which ordered pair is a solution of the equation?
y=4x−7
Answers
Answer:
Unknown
Step-by-step explanation:
Hi! so you didn't add the ordered pair options but I will do my best :) so if you see the ordered pair (0.7) that could definitely be a solution because using the slope intercept form equation you gave I know that's our y Intercept. the slope is 4/1 so moving up 4 and to the right 1 or down 4 and to the left 1 on a graph could show you more points! If you don't want to draw it you could use Desmos and just put this equation in or give me the ordered pairs and I will give you your answer!
hope this helps :)
What is the length ?
Answers
Answer:
AC = 2x - 13 Cm
BC = 3x + 4 Cm
AB = 36 Cm
AB = AC + BC
BC = AB - AC
= 36 - (2x - 13)
= 36 - 2x + 13
= 49 - 2x
but, BC = 3x + 4
so equating both the equation we get
3x + 4 = 49 - 2x
3x + 2x = 49 + 4
5x = 53
x = 53/5
x = 10.6
BC = 49- 10.6*2
= 49- 21.2
= 27.8 CM
Answer:
BC = 31 cm
Step-by-step explanation:
from the diagram
AC + CB = AB ( substitute values )
2x - 13 + 3x + 4 = 36
5x - 9 = 36 ( add 9 to both sides )
5x = 45 ( divide both sides by 5 )
x = 9
then
BC = 3x + 4 = 3(9) + 4 = 27 + 4 = 31 cm
what is the answer to the question?
Answers
Using logic concepts, the correct statement is given by:
[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.
What are the events in this problem?The events are:
Event P: Henry is wearing a red shirt.Event Q: Henry is wearing khaki shirts.The statement is:
Henri is wearing a red or blue shirt today with jeans.
A red or blue shirt can be represent by p or not p, that is:
[tex](p \vee \neg p)[/tex]
Jeans is not khaki, hence the second part is:
[tex]\neg q[/tex]
Combining the statements, we have that the expression is:
[tex](p \vee \neg p) \wedge \neg q[/tex]
Since p and q are true, [tex]\neg q[/tex] is false, and the entire statement is false. Hence the correct option is:
[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.
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ASAP!!!!!!!!!!!!
PLEASE GIVE A STEP BY STEP EXPLANATION!!!
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
The two transformations for fx and gx would be to shift by 6 units and also go up by 18.
What is a transformation?This is the term that is used in mathematics to describe the manipulation of a line or a shape.
a. The possible transformations that can be gotten here would be to shift to the left by 6 units from what we have in the graph and also shift to the top by 18.
b. How to solve for K in the transformationg of x = f(x - k) then
g(x)= f(x) + k
C. The value of k should be based on the way it changes based on the given points.
Vertically, g(x)=f(x) +18
Horizontally , g(x)=f(x-6)
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6x -8=16 solve equation
Answers
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 16 (add 8 to both sides)
6x = 24 (divide by 6 on both sides)
x = 4
Brainliest, please :)
Step-by-step explanation:
6x=16+8
6x=24
6x/6=24/6
x=4
so the answer is 4
A. 6x 10y=9
B. 6x=9
C. -10y = 15
D. 2x= 15
Answers
Answer:
6x = 9
Step-by-step explanation:
4x-5y = 12
2x+5y = -3
Add the equations together
4x-5y = 12
2x+5y = -3
-------------------
6x + 0y = 9
6x = 9
Answer:
B. 6x = 9
Step-by-step explanation:
4x - 5y = 12
+ 2x + 5y = -3
____________
6x + 0 = 9
Hence, option B. 6x = 9 is the correct answer.
given that √5 = 2.24 and √50= 7.07 , find
√500 and √0.5
Answers
Answer:
see explanation
Step-by-step explanation:
using the rules of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{\frac{a}{b} }[/tex] ⇔ [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]
then
[tex]\sqrt{500}[/tex]
= [tex]\sqrt{100(5)}[/tex]
= [tex]\sqrt{100}[/tex] × [tex]\sqrt{5}[/tex]
= 10 × 2.24
= 22.4
-------------------------------
[tex]\sqrt{0.5}[/tex]
= [tex]\sqrt{\frac{50}{100} }[/tex]
= [tex]\frac{\sqrt{50} }{\sqrt{100} }[/tex]
= [tex]\frac{\sqrt{50} }{10}[/tex]
= [tex]\frac{7.07}{10}[/tex]
= 0.707