Answer:
Step-by-step explanation:
Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:
[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:
1.61x = 124.95 so
x = 78 m
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
Question and choices are in the photo please explain the answer
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
7.) Evaluate the expression.
12 - 3V 25
Answer:
-3
Step-by-step explanation:
[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.
This gives 12-3×5 or 12-15.
This solves to -3.
**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!
Factor completely 25x^4y^6 − 1
Answer:
(5x2y3+1)(5x2y3−1)
Step-by-step explanation:
In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)
Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).
what is the value of the expression (-2 1/2 -7) -6 1/2
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19
Please help me!! I really need it!
Answer:
X= 7.5 Y=75
Step-by-step explanation:
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.
A. 8
B. 6
C. 5
D. 7
Answer:
Using the property of intersecting secant:-
[tex](DE)(CE)=(FE)(LE)[/tex]
[tex](4)(x-1+14)=(5)(x-4+5)[/tex]
[tex]4(x+3)=(5x+1)[/tex]
[tex]4x+12=5x+5[/tex]
[tex]4x+-5x=5-12[/tex]
[tex]-x=-7[/tex]
[tex]x=7[/tex]
[tex]So, CD=x-1=7-1=6[/tex]
[tex]so,~your ~answer ~is ~B) ~6[/tex]
----------------------------hope it helps...have a great day!!By intersecting secants theorem, the measure of CD is 6 units.
What is intersecting secants theorem?
The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
For the given situation,
The diagram shows the circle with the two secants intersecting at the exterior point.
By intersecting secants theorem,
[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)
Here, CE = CD + DE
⇒ [tex]CE = (x-1)+4[/tex]
DE = 4
LE = LF + FE
⇒ [tex]LE = (x-4)+5[/tex]
FE = 5
On substituting the above values in 1,
⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]
⇒ [tex](x+3)(4)=(x+1)(5)[/tex]
⇒ [tex]4x+12=5x+5[/tex]
⇒ [tex]5x-4x=12-5[/tex]
⇒ [tex]x=7[/tex]
Thus CD = [tex]x-1[/tex]
⇒ [tex]7-1=6[/tex]
Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.
Learn more about intersecting secants theorem here
https://brainly.com/question/9853828
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What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O
Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 6n⁴ – 24n³ + 18n.
Six times of n power four minus twenty four times of n cube plus eighteen times of n.
6n⁴ – 24n³ + 18n.
Now we have to find the factored form of 6n⁴ – 24n³ + 18n.
Take 6n as common
6n(n³-4n²+3)
Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
To learn more on Expressions click:
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There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
The question is in the pic.
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
are the triangle similar
1-yes
2-no
Answer:
yes the triangle are similar
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.
Step-by-step explanation:
24$
Which expression is equivalent to - 5 over 3
Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?
This unit is operations and fractions how would I solve this?
Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
help mi plzz.........
PLS HELP ME SOLVE THIS
2a × 3
Answer:
The answer will be 2a×3=6a
Help! I got 3,593 but that doesn’t make sense
Because the number increase by a percentage this is an exponential growth problem.
The equation for exponential growth is :
Total = start value x ( 1 + percent) ^ time
Using the information from the problem:
2011-2005 = 6 years.
Total = 23 x (1 + 0.72)^6
Total = 23x 1.72^6
Total = 595.52 = 596 total people
If x + x = 9, then x =
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
I am stuck on this question.
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
(2x - 3)(4 - 3x) find the product of binomials
Answer:
6x²+17x-12
Step-by-step explanation:
(2x-3)(4-3x)
8x-6x²-12+9x
Reorder.
6x²+9x+8x-12
Combine like terms.
6x²+17x-12
---
hope it helps
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
SOMEONE ONE PLEASE HELP
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .
Answer:
y = -4x + 17
Step-by-step explanation:
y = -4x + b
5 = -4(3) + b
5 = -12 + b
17 = b
please find Area of triangle
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3