Answers
Answer:
[tex]c=4 \sqrt{2}[/tex]
Step-by-step explanation:
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven values:
a = 4b = 4Substitute the given values into Pythagoras Theorem formula and solve for c:
[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]
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Related Questions
I
1
8 in
Find h.
13 in
= √[?] in.
Answers
as the following pic you can see the answer.
#diameter is 8 so radius is 4
Subtract-3x - 8 from 4x² - 7x - 2.
Answers
[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]
I need these answers ASAP would be very grateful for these if you would like to help me out I would appreciate it and give a good amount of points!
Answers
Answer:
5. 8π 6. 18π 7. 8.6π 8. 11/4π
Step-by-step explanation:
8. 2 3/4
2*4+3 = 11/4
Round the number to the nearest ten-thousands:
388,725
a. 400,000
b.390,000
c. 388,800
d. 389,000
Answers
Answer:
B is the correct answer
Step-by-Step:
What is the value for y?
Enter your answer in the box.
Answers
Answer:
angle A=angleB .…(समदिबाहु त्रिभुज भएर)
34°=(x-5)°
or, 34=34
angleA+angleB+angleC=180°
or, 34+34+4y=180
or, 68+4y=180
or, 4y=180-68
or, 4y=112
or, y=112÷4
or, y=28
Damek has five number cards lying on the table. There are two number cards with digit 1, two number cards with digit 2 and one number card with 0. How many different three-digit numbers can Damek form? (Number cannot being with 0).
(P.S. Is there a way to find the answer without listing all the possibilities?)
Answers
Damek can form 14 three-digit numbers from the given situation. Hence, only 14 possibilities.
There are five number cards on the table.
2- digit 1 card
1- digit 0 card
2- digit 2 card
There is a possibility of putting 1 or 2 in the hundredth place.
If 1 is put in the hundredth place then there are 3 possibilities for tenth place 1,0,2
If 1 is put there then there is a possibility of 2 numbers 0,2 in ones place
If 2 is put then there is a possibility of 3 numbers 0,1,2 in ones place
If 0 is put then there is a possibility of 2 numbers 1,2 in ones place.
So, there are 7=(2+3+2) possibilities that the hundredth place is filled by 1.
Similarly, there will be 7 possibilities that the hundredth place is filled by 2.
Hence, there are 14 possibilities as required by the problem.
So, the possibilities of 3-digit numbers are (given the number cannot start with 0) 14.
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Jim thinks of a number (n). He adds 5 to the
number then multiplies the result by 7.
(a) Write this as a expression.
The answer Jim gets is 91.
(b) Work out the number Jim thought of.
Show all your
working.
Answers
Answers + Step-by-step explanation :
a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign
b) we can solve our equation to find for n, the number jim thought of
7(n + 5) = 91
I will use the distributive property.
7n + 35 = 91
Subtract 35 on both sides
7n = 56
Now divide 7 on both sides to find n
n = 8
The number Jim was thinking of was 8! this should be correct, hope this helps!
please help me with my math
Answers
Answer:
x = 115
z = 27
Step-by-step explanation:
x + 65 = 180 (same side interior angles)
x = 115
x = 3z +34 (alternate interior angles)
115 = 3z + 34
3z = 81
z = 27
Step-by-Step Solution:
We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.
So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)
First solve Equation 1 :-
x + 65 = 180
x = 180 - 65
=> x = 115
Therefore, x = 115.
Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.
Substitute value of ‘x’ in Equation 2 :-
3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27
Therefore, z = 27.
Now we have the required answers.
Hence, x = 115 and z = 27.
Which is true about the solution to the systems of inequalities shown?
Answers
Answer:
There are no solutions
Step-by-step explanation:
If y is greater or equal to 3x+1 it can not be less than 3x-3 since 3x-3 is 4 less than 3x+1. Therefore, there can not be any solutions for the system of inequalities.
please evaluate the equation
Answers
Step-by-step explanation:
[tex] = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )[/tex]
[tex] = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )[/tex]
[tex] \: [/tex]
[tex]a_1 = - 2[/tex]
[tex]n = 7[/tex]
[tex]r = 6 \to r >1[/tex]
[tex] \: [/tex]
• Find S7.
[tex]s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )[/tex]
[tex]s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )[/tex]
[tex]s_7 = - 2.( \frac{279.936 - 1}{5} )[/tex]
[tex]s_7 = - 2.( \frac{279.935}{5} )[/tex]
[tex]s_7 = - 2 \: . \: 55.987[/tex]
[tex]s_7 = - 111.974[/tex]
The answer is B.
I need this due by tonight what is 45+x=75
Answers
Answer:30
Step-by-step explanation: jus subtract total number by 45 to c what u missin
Given: [tex]\textsf{45 + x = 75}[/tex]
Need: [tex]\textsf{The value of the unknown x}[/tex]
Solution: In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.
Subtract 45 from both sides
[tex]\textsf{45 - 45 + x = 75 - 45}[/tex][tex]\textsf{x = 75 - 45}[/tex][tex]\textsf{x = 30}[/tex]After simplifying the expression we were able to determine that x is equal to 30.
Which equation is equivalent to the given equation?
-4(X - 5) + 8x = 9x - 3
Answers
Answer:
-5x=-23
Or
X=23/5
Step-by-step explanation:
Which equation represents the line that passes through the point (-2.4, -7.1) and has a slope of -5.3
Answers
-7.1= -5.3(-2.4) + c
C= -12.72-7.1 = −19.82
Y= —5.3x-19.82
Which calculation correctly uses prime factorization to write square root of 48 in simplest form?
Answers
The simplest form of the square root of 48 is 4√3
Simplifying rational functionsGiven the following rational function √48
The correct prime factorization is given as;
√48 = √3×16
√48 = √16 × √3
Since the square root of 16 is 4, hence;
√48 = 4√3
Hence the simplest form of the square root of 48 is 4√3
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If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?
Answers
Answer:
[tex]\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}[/tex] [tex]\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}[/tex]
Step-by-step explanation:
Given:
p(x) = 2x2 - 1q(x) = 3(x - 1)To find:
(p - q)(x)We know:
(p - q)(x) = p(x) - q(x)Substitute
(2x^2 - 1) - 3(x - 1)[tex]\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}[/tex]
Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.
Answers
There are multiple ways to prove congruence between two triangles:
SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.Keep in mind that the order of the letters matters.
Solving the Question
Given triangle JLM, we know that
S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.This is only one of the ways to prove congruence with these two triangles.
Mr. Gaffy asked his students to pick a number, add
3 to it, multiply by 5 and then reduce it by 12.
Jermaine calls out his answer of 15. What number
did Jermaine start with?
Answers
Answer:
2.4
Step-by-step explanation:
We must do the inverse of every operation:
15 + 12 = 27
27/5 = 5.4
5.4 - 3 = 2.4
A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the direction 30° south of east. What is the plane’s drift angle?
5.90°
6.38°
45.89°
46.38°
Answers
If the plane flying in direction of 40° north of east at a speed of 350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.
Let's assume east as x axis and north as y axis.
Breaking velocity of plane into components
350 cos40° î + 350 sin40° ĵ
(350 × 0.76604) î + (350 × 0.64278) ĵ
268 î + 225 ĵ
Breaking velocity of wind into components
40 cos30° î - 40 sin30° ĵ
(40 × 0.86602) î - (40 × 0.5) ĵ
34.64 î - 20 ĵ
Now adding velocity of wind to velocity of plane as
The resultant velocity of the plane = initial velocity of plane + velocity of wind
( 268 + 34.64 ) î + ( 225 - 20 ) ĵ
302.64 î + 205 ĵ
So the final velocity of plane will be 302.64 î + 205 ĵ
Lets assume the angle of final velocity from east be θ
So Tan θ = perpendicular / base
So Tan θ = 205 / 302.64
Tan θ = 0.677
θ = Tan⁻¹(0.677)
θ = 34.12 °
As we know,
Drift angle is the difference of initial and final angle of the object measured from same reference.
Drift angle=| Initial angle of plane from east - final angle of plane from east |
Drift angle= | 40 - 34.12 |
Drift angle= 5.87 ° ≈ 5.9 °
So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.
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Use the following information for problems 5-8.
f(2, 33) = 5.5, p < 0.01
1) how many groups were in this study?
a) 34
b)33
c) 3
d) 2
how many participants were in this study?
a) 36
b) 33
c) 3
d) 2
what is the f ratio?
a) 5.5
b) 2
c) 33
d) 0.01
Answers
The number of groups is 3, the number of participants is 36, and the f ratio is 5.5.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
f(2, 33) = 5.5, p < 0.01
From the above details, we can find the number of groups:
5) Number of groups = df for groups + 1
Number of groups = 2+ 1 = 3
Option (c) is correct.
6) Number of participants =2 + 33 + 1 = 36
Option (a) is correct.
7) f ratio = 5.5
Option (a) is correct.
8) True; as the p-value is less than the 0.01 level.
Thus, the number of groups is 3, the number of participants is 36, and the f ratio is 5.5.
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a company's stock begins the week with a price of 43.85 per share the price changes by 2.70 each day for 2 days then the price changes by -1.10 each day for 2 days on the last day the price changes by -4.45 what is the price per share of the company's stock after those 5 days
Answers
Step-by-step explanation:
so, in other words, the price is
43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =
= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =
= 43.85 - 1.25 = 42.60
Problem 4
(a) three friends are packing sweets into gift boxes. they agree that
each box should contain the same number of sweets, but they are
each working in separate locations with their own pile of sweets so
cannot share boxes. gwen has 286 sweets, bill has 390 sweets and
zeta has 468 sweets. if they put the largest number of sweets into
each box that they can and they use up all their sweets, how many
boxes of sweets will they pack?
(b) use the euclidean algorithm to find the highest common factor of
8008 and 24255 (you need to show all working).
Answers
Answer:
286+390+468÷3= answer
PLEASS HELP!!
3 folders cost $2.91.
Which equation would help determine the cost of 2 folders?
Answers
Answer:
The answer is B
Step-by-step explanation:
By proportion , 3 : 2.91 = 2: x . then you write it in fraction
Which equation has a graph that lies entirely above the x-axis?
y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²
Answers
Heyo!
The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.
Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!
Answer:
Step-by-step explanation:
Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))
Answers
Answer:
19-73 19-73 and the other half way back home from the
to ghana 5hjgf and to the 8
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.
Answers
Answer:
5
Step-by-step explanation:
Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))
g(0) = 3
g(0) = f(0) + k
3 = -2 + k
5 = k
On a biased dice the probably of getting a 6 is 4/5 the dice is rolled 500 times estimate how many 6s would be riled
Answers
Answer:
400
Step-by-step explanation:
4/5×500
=400 6s would be riled
Scalar and Matrix Multiplication
Answers
Answer:
multiply 1/2 by each element in the matrix
Step-by-step explanation:
6. 32
39 15
Which of the following rational functions is graphed below?
Answers
Answer:
B
Step-by-step explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
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For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
Answers
Answer:
Standard Deviation is s = 2.9
Step-by-step explanation:
Count = [tex]N[/tex] = 5
Mean = [tex]x^-[/tex] = 9
Variance = [tex]s^2[/tex] = 8.5
SD Formula = [tex]s = \sqrt \frac{1}{N - 1} (x_{i} - x^-)^2[/tex]
Variance Formula[tex]s^2 = \frac{(x_{i} - x^-)^2}{N- 1}[/tex]
Step 1: Calculate the variance
[tex]= \frac{(7-9)^2 + (5-9)^2 + (10-9)^2 + (11-9)^2 + (12 -9)^2 }{5-1}[/tex]
[tex]=\frac{34}{4} = 8.5[/tex]
Step 2: Apply square root/SD formula
[tex]=\sqrt{8.5} = 2.9[/tex]
This circle is centered at the origin, and the length of its radius is 8. What is
the equation of the circle?
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x² + y² = 64[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Standard equation of circle is :
[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
[tex] \textsf{h = x - coordinate of centre of circle} [/tex][tex] \textsf{k = y - coordinate of centre of circle} [/tex][tex] \textsf{r = radius= 8} [/tex]Since the circle is centered at origin, h = k = 0
[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
