If the actual tower is 125 meters wide, then the height will be approximately 325m
Similarity ratio of shapesThe ratio of the similar sides of the shape is equal to a constant.
If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125
Cross multiply
0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m
This means that if the actual tower is 125 meters wide, then the height will be approximately 325m
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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
Answer:
The equation of a parabola is
[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]
The general form is:
[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]
The vertex form is:
[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
[tex]( - \frac{13}{2} \: ,0)[/tex]
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
[tex](0, - 4 - \sqrt{3)} [/tex]
[tex](0, - 4 + \sqrt{3)} [/tex]
Factor z3 + 2z2 - 9z - 18. (z - 3)(z + 3)(z + 2) (z 2 + 9)(z - 2) (z 2 + 2)(z - 9)
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Solve for X and Y
1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
What do you mean?
Step-by-step explanation:
The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?
SHOW WORK PLEASE AND THANKYOU
and be quick please
Answer:
$150
Step-by-step explanation:
let x be the original price
105 = 0.7x
150 = x
Think about each of the following. Which of these three triangles is impossible to draw?
Check by using sum of angles of triangle = 180°
20+45 < 180 so third angle will make it 180 which means it's possible to draw 120+50 = 170< 180 so third angle being 10 will complete the triangle90+100 = 190 > 180 so third angle being (-10) is impossible for the triangle so it can't be possibleplease answer correctly thanks
Answer:
Step-by-step explanation:
add all the three.
Answer:
60
Step-by-step explanation:
AD= AB+BC+CD
=22+29+9
=60 cm
How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?
dy= 2|x|dx
integral dy= integral 2|x|dx
y= X² + c
PLEASE HELP ASAP, BEST ANSWER GETS +50 POINTS AND BRAINLIEST
prove that if the center of a circle is equidistant from the sides of an inscribed triangle, then the triangle is equilateral?
Please answer with a picture/drawing/diagram, and statement and reasons for Brainliest! Thanks!
Answer:
if your using a 60,60,60 triangle ; the centers are the same.
The triangle's equilateral.
hope it helps!!!
Step-by-step explanation:
See attached
Hope this helps! :D
Kevin made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads cost a total of 9.20 how much did each pendant cost
I NEED HELP IMMEDIATLY! 100 POINTS AND BRAINLY!!!!!!!
Solve for ccc.
Give an exact answer.
0.2(10-5c)=5c-160.2(10−5c)=5c−160, point, 2, left parenthesis, 10, minus, 5, c, right parenthesis, equals, 5, c, minus, 16
c =c=c, equals
C = 2.7
First, simplify both sides of the equation.
0.2(1 − 5c) = 5c − 16
(0.2)(1) + (0.2)(−5c)= 5c + −16
0.2 + −c = 5c + −16
−c + 0.2 = 5c − 16
Now subtract 5c from both sides of the equation, then subtract 0.2 from both sides.
−c + 0.2 − 5c = 5c − 16 − 5c
−6c + 0.2 = −16
−6c + 0.2 −0.2 = −16 - 0.2
−6c = −16.2
Lastly, divide both sides by -6.
-6c/-6 = -16.2/6
2.7
Please mark this as brainliest, cheers.
-5X^2 + 3X = -3X^2 + 3X - 50 solve for x
[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]
Answer:
X = 5, —5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the area of the shaded polygons
NEED ASAP PLEASE!! THANK YOU
Answer:
168
Step-by-step explanation:
area of a trapezoid is
((a+b)/2)*h
((8+16)/2)*14
12*14 =
168
Help picture below problem 14
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]
Thus the missing side length is 8 cm
Hope that helps!
[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]
In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:
[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
In the second integral, integrate by parts:
[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
It follows that
[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
Write the next whole number after 4444 in the base-five system.
====================================================
Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
----------------
Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
----------------
Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.
Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit
Answer:
yes he is
Step-by-step explanation:
he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.
I hope this helps
if an item regularly cost d dollars and is discounted 12 percent, which of the following represents the discounted price?
If an item usually costs d dollars a 12% discount can be represented as 0.88d.
What is a discount?This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.
How can the discounted price be represented?Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).
For example, if the regular price is $100, 0.88 x 100 = $88.
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How do you write 7,100 in scientific notation
Answer:
7.1 x 10³
Step-by-step explanation:
Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.
Answer:
7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)
Step-by-step explanation:
1. Count how many places there are to the right of 7
2. There are 3
3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]
4. 7.1 x 10[tex]^{3}[/tex] (remove all digits after 7.1
Hope this helps :)
The questionnnnnnnnn
Answer:
C
Step-by-step explanation:
C because 25% + 10% = 35% and 10% + 25% is also 35%
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
What is 3 x 1/10 pls answer
Answer:
3/10 or 0.3
Step-by-step explanation:
3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3
Diego rides his bicycle at a constant rate of 0.3 kilometers per minute. Which graph best represents y, the total number of kilometers Diego rides his bicycle in x minutes?
y(x)=0.3x
since he travels 0.3 kilometers for each minute (x)
then y as a function of x is 0.3×the number of minutes(x)
Brook's score in a card game is 713 + 102 + 516. On her next turn, she draws one of the cards shown. Now her score is (713 + 102 + 516) ÷ 2. Which card did Brook draw? Explain.
observa la sucesion que llevan las figuras realiza las figuras que faltan
Answer:
13, 16, 19, 22, 25, etc.
Step-by-step explanation:
You're pretty much just adding three for the chart. And for the diagram, you're adding two.
The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.can someone pls help me with this. WILL MARK BRAINLIEST
Answer:
The answer is D :)
Step-by-step explanation:
I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.
Have an amazing day!!
Please rate an dmark brainliest!!
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)
Answer:
[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].
Step-by-step explanation:
Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - (-1/2) = 3\, (x - 2)[/tex].
Simplify to obtain:
[tex]y + (1/2) = 3\, (x - 2)[/tex].
HELP PLEASE SHOW WORK
A triangle has one angle that measures 40 degrees, one angle that measures 119 degrees, and one angle that measures 21 degrees.
What kind of triangle is it?
A.
acute triangle
B.
equilateral triangle
C.
obtuse triangle
D.
right triangle
Answer:
obtuse triangle
Step-by-step explanation:
one angle measures more than 90°