Answers
Answer:
17 cm
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + 15^2 =c^2
64+225 = c^2
289 = c^2
Take the square root of each side
sqrt(289) = sqrt(c^2)
17 = c
Answer:
The hypotenuse is 17cm
Step-by-step explanation:
Pythagoras theorem is : [tex]a^{2} +b^{2} =c^{2}[/tex]
To work out the hypotenuse of this triangle you would first need to know Pythagoras theorem. The theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. A and B are the 2 lengths given in this question and c is the hypotenuse.
The first step in working out the hypotenuse is to square the base of 8, this gives you 64.
Then you would need to square the height of 15, this gives you 225. This is because we are substituting the values into a and b.
Then the next step is to add the values of 64 and 225, this gives you 289.
The final step is to root the value of 289, which gives you 17cm. This is because as c is the hypotenuse while the value worked out is c squared and so to work out c you would have to root it.
1) Square the base of 8cm.
[tex]8^{2} =64[/tex]
2) Square the height of 15cm.
[tex]15^{2} =225[/tex]
3) Add 64 and 225.
[tex]64+225=289[/tex]
4) Root the value of 289.
[tex]\sqrt{289}= 17cm[/tex]
Related Questions
Question 4 Please help. If circle A is dilated so that it is the same size as circle B, which transformations could be performed next to show that the circles are similar?
Select all that apply.
Answers
There are 3 Answers:
Choice A) reflect the dilated circle over the horizontal line through point C.
Choice D) rotate the dilated circle 180 degrees around point C
Choice E) translate the dilated circle to center B
Due to symmetry, rotations and reflections do not change a circle. This is why we are able to rotate around point C so that it looks like a translation has occurred. A similar thing happens with reflections as well.
The correct Answers:
A) reflect the dilated circle over the horizontal line through point C.
D) rotate the dilated circle 180 degrees around point C
E) translate the dilated circle to center B
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given is circle A is dilated so that it is the same size as circle B, we need to determine the transformations performed to show that the circles are similar.
We know that,
Due to symmetry, rotations and reflections do not change a circle.
So, rotate around point C so that it looks like a translation has occurred.
A similar thing happens with reflections as well.
Hence, the correct options are A, D and E
Learn more about transformation, click;
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A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2
Answers
Answer:
a)400V2 plus 3,600 m2
Step-by-step explanation:
Answer:
400V2 + 3,600 m2
Step-by-step explanation:
Got it right on edge
Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38
Answers
Answer:
the answer would be (-3,7)
Please Help!!!!! Extra points and brainiest will be given.
Find the volume of the cylinder in terms of pi.
Answers
Answer:
The volume of the cylinder would be 226.19in however if you need it in terms of pi it would be V = 72 π in3
Step-by-step explanation:
V=πr2h=π·62·2≈226.19467, hope I was able to help you
And that is basically what you have to do
Answer:
72π inches^3
Step-by-step explanation:
The volume of a cylinder can be found using:
v=πr^2h
We know that the radius is 6 inches, and the height is 2 inches. So, we can substitute 6 in for r, and 2 in for h.
v= π 6^2 *2
Evaluate the exponent
v= π 36*2
Multiply 36 and 2
v= π72
So, the volume in terms of pi is:
72π inches^3
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answers
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
I have no clue! Please help!
Answers
PLS HELP 50 POINTS
Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answers
Answer:
f(x+1)=(5/6)f(x)on: Five-sixths Superscript f (x)
EXPLANATION:
The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.
625/750=750/900=etc=r=5/6
The function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
What is the general equation of a Straight line? What is a Geometric sequence?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
A geometric sequence is a sequence such that -
a(n + 1)/a(n) = K {constant}
[K] is called common ratio.
Given is a graph representing a geometric sequence.
Now, for -
f(2) = 1080
and
f(1) = 1296
So -
f(2)/f(1) = 1080/1296 = 5/6
In general -
f(x + 1)/f(x) = 5/6
f(x + 1) = 5/6 f(x)
Therefore, the function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
To solve more questions on straight lines, visit the link below-
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[REFER TO IMAGE ATTACHED FOR QUESTION]
A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____
-2
3
-3
2
Answers
Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
Answer:
x = 3.
Step-by-step explanation:
The equation of the parabola is
f(x) = a(x - 3)^2 - 2 where the vertex is (3, -2).
The axis of symmetry passes though x = 3
If an angle is supplementary and one measures 70° what is the measure if the other angle?
Answers
Answer:
The other angle is 110
Step-by-step explanation:
Supplementary angles add to 180
Let x be the other angle
70+x = 180
Subtract 70 from each side
70+x-70 = 180-70
x = 110
Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answers
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
What percentage of temperatures are below 55 degrees
Answers
Answer:
D) 20%
Step-by-step explanation:
Answer: The answer is B. 25%
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
Answers
Match the description with the number of possible outcomes.
choosing a card from a deck
2
rolling a number cube
6
flipping a coin
4
spinning a 4-color spinner
52
Answers
Rolling a number cube = 6
Flipping a coin = 2
Spinning a 4 colour spinner = 4
Answer:
here is the correct answer :D
Step-by-step explanation:
approximate the value of 5 pi
Answers
Answer:
15.7079
Step-by-step explanation:
Answer:
slightly more than 15
Step-by-step explanation:
Tip: Use a calculator, it is very helpful and most often allowed in exams that include the calculation of pi.
1. Setup the problem: 5(pi)
2. Plug in the problem to receive: 15.70796...
3. The answer is slightly more than 15
ALSO: The first 3 digits of pi are 3.14, which is near the whole number 3. 5x3 = 15, so it is slightly more than 15.
Solve for 2. Write the smaller solution first, and the larger solution s
4x2 + 40 + 84 = 0
smaller x =
larger x =
Answers
Answer:
4(x^2 +10 +21)
4(x+3)(x+7) = 0
Smaller
4(x+7) = 0
4x +28 = 0
4x = -28
x = -28/4
x = -7
Larger
4(x+3) = 0
4x + 12 = 0
4x =-12
x = -12 / 4
x = -3
Step-by-step explanation:
Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99
Answers
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Simplify 18 1/2 + (-7 4/8)
ASAP pls
Answers
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
Simplify the fraction
18 1/2 + (-7 1/2)
Subtract the whole numbers
18-7 = 11
Subtract the fractions
1/2 -1/2 =0
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
18 1/2 +)- 7 1/2
(18-7) + (½-½)
11 + 0
11
find the decimal equivalent to 4/15
Answers
Answer:
0.2667
Step-by-step explanation:
Answer:
.266 repeating
Step-by-step explanation:
divide 4 by 15 : )
Determine whether the given point (2, -2) lies on the line 3x – y = 4.
Answers
Answer:
Step-by-step explanation:
3(2) + 2 = 4
6 + 2 = 4
8 is not equal to 4
Therefore (2,-2) does not equal
What is the least common multiple of 12 and 18?
Answers
Look at the attached picture
hope it will be helpful to you..
The radius of a circle is 10 m. Which choice is best represents the area of the circle?
314 square meters
78.5 square meters
1256 square meters
62.8 square meters
Answers
Answer:
314 is your answer
Step-by-step explanation:
the area is A=[tex]\pi[/tex]r^2
Please help me !!!!!
Answers
Answer:
15 units
Step-by-step explanation:
guys i need help lol
Answers
Answer:
x = 17°, m∠ A = 114°
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
x = 17 ⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
m∠ A = 114
Solution; x = 17°, m∠ A = 114°
Answer:
x = 17, ∠A = 114°
Step-by-step explanation:
I'm 8 years old and I know how to do this.
6x + 12 = 3x + 63
3x + 12 = 63
3x = 51
x = 17
6(17) + 12
102 + 12 = 114
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answers
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
Please i need help my homework is really hard
.
Answers
Answer:
f' (n)=9
Step-by-step explanation:
is this what you were looking for?
Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?
Answers
Answer:
Step-by-step explanation:
First you multiply 5x6= 30
30x.06= 1.8
30+ 1.8 =31.8
Answer:
31.8
step-by-step explanation:
5*6+6%=31.8
Identify the x and y intercept.
A. x intercept: (2,0) y intercept: (0,-3)
B. x intercept: (-3,0) y intercept: (0,2)
C. x intercept: (2-3) y intercept: (2,-3)
D. x intercept: (2,-3) y intercept: (-3,2)
Answers
Answer:
Bro write the question better
Step-by-step explanation:
The length of the hypotenuse of a 30 - 60 - 90 triangle is 16 cm.
Find the length of the other two sides.
Answers
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
Complete the expansion of this expression by finding the values of the capitalised pronumerals.
3x(6y+4+2x)+3x(y+x)+2y=Ax^2+Bx+Cxy+Dy
A=?
B=?
C=?
D=?
Answers
what center of variability is most appropriate when using median?
Answers
Answer: The mean is the average of all the values. The median is the number that falls in the exact center of all the measurements, while the mode is the number that occurs most frequently. ... One way to measure variability, range, is the difference between the highest and lowest values in a data set.
Step-by-step explanation: Ok?
