Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
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The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?
a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42
Answer:
Scale distance on map representation = 2.4 cm
Step-by-step explanation:
Given:
Scale factor [6 cm - 15 Km]
Actual distance = 6 km
Find:
Scale distance on map representation
Computation:
Scale distance on map representation = Actual distance[6cm / 15km]
Scale distance on map representation = 6km [6cm / 15km]
Scale distance on map representation = 36 / 15
Scale distance on map representation = 2.4 cm
The sum of Theorem states that the sum of all angles in a triangle is_____.
Answer:
180°
I hope it's helps you
Vertices A (-1,1) and Vertices B (-4,1) of Square ABCD are shown below. What is the perimeter?
Hint: find the Vertices C and D first, then find the perimeter. A square is the same length all around!
Answer:
12
Step-by-step explanation:
Distance from (-4,1)to (-1,1) =|-4|-|-1|=3
Side of square =3
Since each side of square is equal.
3x4=12
If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then perimeter of the square ABCD is 12 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.
The coordinates of C are (-4, -2) since it is directly below B.
The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.
The coordinates of D are (-1, -2) since it is directly to the right of C.
Now we have the coordinates of all four vertices
A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).
To find the perimeter, we add up the lengths of all four sides:
AB = BC = CD = AD
= √[(xB - xA)² + (yB - yA)²]
= √[(-4 - (-1))² + (1 - 1)²]
= 3
So the perimeter is P = AB + BC + CD + AD
= 3 + 3 + 5 + 3
= 14
Therefore, the perimeter of the square ABCD is 12 units.
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find the angle measure given extended triangles
help pls
Answer:
x=74
Step-by-step explanation:
Solve big triangle first 33+45= 78
78+28= 106
Pls help me on this question??
Answer and Step-by-step explanation:
The answer is A. 0.
This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)
No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.
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Ramadan Mubarak
solve and check please help
Answer:
7) 24 8) 75 9) .9
Step-by-step explanation:
You multiply the denominatior with the whole number.
Answer:
x = 24 b = 75 s = 0.9
Step-by-step explanation:
7. Multiply both sides by 2 and you get x = 24
8. Multiply both sides by 5 and you get b = 75
9. Multiply both sides by 0.3 and you get s = 0.9
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
solve the equation -3(w+12)=-16
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue Television Newspaper Advertising Advertising
() () ()
95 5.0 1.5
90 2.0 2.0
95 4.0 1.5
92 2.5 2.5
95 3.0 3.3
94 3.5 2.3
94 2.5 4.2
94 3.0 2.5
Required:
Find an estimated regression equation relating weekly gross revenue to television advertising expenditures and newspaper advertising expenditures (to decimals).
Answer:
Step-by-step explanation:
Raul recibió un bono de $750, el que era 5% de su salario anual . Su sueldo anual es de ?
Answer: 375
Step-by-step explanation:
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy
24.5x = 30 what is x?
Answer:
24.5x = 30
x = 30/ 24.5
= 1.22448979592
hope this answer helps you.....
Answer:
x= 30/24.5=1.22448
Step-by-step explanation:
we have :
2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448
Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
A fudge recipe calls for 1/2 cup of cocoa if only 1/2 of the recipe is made how much cocoa should be used
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 cup
Step-by-step explanation:
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
The length of a rectangle is 3 times the width, w. Which expressions represent the perimeter of the rectangle?
A - 4w
B - 7w
C - 8w
D - 5w + 2w
E - 2(3w + w)
F - 2(3w) + 2w
Answer:
c,e,f,
Step-by-step explanation:
The answer for this question is C, E and F .
Given that the length is 3 times the width. So firstly, you have to find the expression of length :
Let width = w,
Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :
Let length = 3w
Let width = w,
have a good day /night
may i please have a branllist
Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel routes, with the time required for each segment, is shown below.
What is the shortest path and what is the shortest possible time to travel from A to Z? (Round your answer to the nearest whole number.)
Shortest Path Choices: A-B, B-E, E-Z ; A-C, C-Z ; A-B, B-D, D-Z
Answer:
Shortest Path : A-C, C-Z
Shortest possible time = 143
Step-by-step explanation:
P.S - The exact question is -
Given -
T1 = 38
T2 = 52
T3 = 63
T4 = 67
T5 = 91
T6 = 62
T7 = 64
To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?
Proof -
Choices for shortest path is -
Choice 1 : A-B, B-E, E-Z ;
Choice 2 : A-C, C-Z ;
Choice 3 : A-B, B-D, D-Z
Now,
For Choice 1 : A-B, B-E, E-Z
Distance between A-B = T1 = 38
Distance between B-E = T4 = 67
Distance between E-Z = T7 = 64
So,
The distance = 38 + 67 + 64 = 169
Now,
For Choice 2 : A-C, C-Z
Distance between A-C = T2 = 52
Distance between C-Z = T5 = 91
So,
The distance = 52 + 91 = 143
Now,
For Choice 3 : A-B, B-D, D-Z
Distance between A-B = T1 = 38
Distance between B-D = T3 = 63
Distance between D-Z = T6 = 62
So,
The distance = 38 + 63 + 62 = 163
∴ By comparing we get
Shortest Path = A-C, C-Z
Shortest possible time = 143
The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.
It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.
It is required to find the shortest path and the shortest possible time to travel from A to Z.
What is the shortest path?It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.
We have the time required to travel from A to B is T1 = 38 units
Similarly, for the path A to C is T2= 52 units
For the path B to D is T3= 63 units
For the path B to E is T4 = 67 units
For the path C to Z is T5 = 91 units
For the path D to Z is T6 = 62 units
For the path E to Z is T7 = 64 units
For the path A→B→E→Z
The total time required = T1+T4+T7
= 38+67+64 ⇒169 units.
For the path A→C→Z
The total time required = T2+T5
= 52+91 ⇒143 units.
For the path A→B→D→Z
The total time required = T1+T3+T6
= 38+63+62 ⇒ 163 units.
Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.
Learn more about the shortest path here:
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if f(x)=x+3 and g(x)=2x^2 find (f+g)(x) and (f+g)(3)
Answer:
Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have to do the operations with the functions, but I also have to ...
Using any method, find the area of the regular hexagon shown below. Show all work! Your final answer should be exact.
Answer:
864√3
Step-by-step explanation:
(3√3·24²)/2
1728√3/2
864√3
1496.49189773
9514 1404 393
Answer:
864√3 in²
Step-by-step explanation:
We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.
A = (3/2)√3(24 in)² = 3/2×576×√3 in²
A = 864√3 in²
75069 / 45 with work (no calculator)
Show work please!
Answer:
1668.2
Step-by-step explanation:
giving brainliest !!!!
Answer:
1105.28
Step-by-step explanation:
d = 16
r = d/2 = 8
Formula:
SA = 2πr² + 2πrh
SA = 2(3.14)(8²) + 2(3.14)(8)(14)
SA = 2(3.14)(64) + 2(3.14)(8)(14)
SA = 401.92 + 703.36
SA = 1105.28
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
Cos Y=?
5/13
5/12
12/13
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
How much is 1/3 cup of butter equivalent measurement?
Answer: equal 5 tablespoons plus 1 teaspoon butter.
Step-by-step explanation:
Answer:
1/3 cup would equal 5 tablespoons plus 1 teaspoon butter
Step-by-step explanation:
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