Answer:
[tex]x=26.67[/tex]
Step-by-step explanation:
From the question we are told that:
Height of Pole [tex]h_p=15 foot[/tex]
Height of Man [tex]h_m =6ft[/tex]
Distance from Pole [tex]d_p=40ft[/tex]
Generally the equation for similar Property is mathematically given by
[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]
[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]
[tex]x=\frac{6*(40+x)}{15}[/tex]
[tex]x=\frac{240+6x}{15}[/tex]
[tex]x=16+0.4x\\x-0.4x=16[/tex]
[tex]x=16\0.6[/tex]
[tex]x=26.67[/tex]
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.
please help
This is a Right answer....
somebody help me and show your work pls
Answer:
40x(14)
Step-by-step explanation:
5x(2)y(0)(2x(4)(3)
5x(2)x1) x8x(12)
5x(2)x8x(12)
40x(14)
How do you simplify √(29-12 √5)?
Answer:
2 sqaure root 5 -3
Step-by-step explanation:
See the Image below:)
(2[tex]\sqrt{5}[/tex] - 3)
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.
Given equation [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]
[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]
= [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)
the equation is now in the form of (a - b)² = a² + b² + 2ab
equation (1) can be written as where a = 2√5 and b = 3
[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3
Hence the simplified equation is 2√5 - 3
Learn more about simplification;
https://brainly.com/question/23509407
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ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o
Answer:
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =\frac{1}{4}3^x -6[/tex]
[tex]g(x) \to[/tex] translate f(x) 9 units up
Required
Find g(x)
The translation rule is:
[tex]g(x) \to f(x) + 9[/tex]
So, we have:
[tex]g(x) = f(x) + 10[/tex]
[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Plz help plz "??????????????
WILL GET 100 POINTS IF U ANSWER THIS!!!
If 4x=28, find the value of 29-5x.
Answer:
-6
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
-6 (not 100% sure)
Step-by-step explanation:
4x = 28
4 × 7 = 28
so
29 - 5x
if x is 7, 5 × 7 = 35
29 - 35 = -6
Which choices are equivalent to the fraction below? Check all that apply.
Answer:
the answer is B & F
If 4, m & 9 are in continued proportion. Find the value of m.
Answer:
M =6
Step-by-step explanation:
T2/T1=T3/T2
M/4=9/m
M^2=36
M=+ or - 6
As m is continued ignore - 6
Then get m =6
Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.
Answer:
Raden is correct
Step-by-step explanation:
A quadrilateral is any polygon that has four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.
A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.
Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.
a number cubed decreased by 1 is equal to the product of the number and 12
Answer:
x³ - 1 = 12x
Step-by-step explanation:
A number cubed decreased by 1 is equal to the product of the number and 12
x³ - 1 = 12x
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)
Answer:
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
[tex]P(A) = \frac{200}{1500}[/tex]
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
[tex]P(A \cap B) = \frac{45}{1500}[/tex]
What is the probability that a high school member selected at random is on the swim team?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
will give brainliest if u answer this right^ p-20=46
Answer:
you forgot to link the photo
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
p-20=46
p= 46+20
p=66
Rewrite the following logarithmic expression as an exponential expression
[tex]\huge{ \mathrm{ \underline{ Answer }\: \: ✓ }}[/tex]
The logarithmic expression for the given exponential expression is :
[tex]\large\boxed{ \mathrm{ log_{4}(b )= a}}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
17 years
Step-by-step explanation:
We can use a known formula (n being the number of years)
n = log(17323/8500) / log (1+ 0.045) = 16.17
Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played a computer game in which they were asked to carry out two tasks at the same time. The female group had an average speed that was faster than that of the male group.
Answer:
Yes, women better at multitasking than men.
Step-by-step explanation:
Given
[tex]n_1=120[/tex] --- Men
[tex]n_2=120[/tex] --- Women
[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed
Required
Does women better at multitasking?
When making comparison between two variables that are subjected to the same conditions;
If both variables have different mean values; the variable with the greater mean value performs better.
So, in this case:
[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.
On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?
Answer:
median: 104.5
mean: 102.4
mode: 95
Step-by-step explanation:
65 inches is how many feet? (Round to nearest hundredth) *
Answer:
5.42 feet
Step-by-step explanation:
12 inches=1 foot
65/12=5.41667
5.41667=5.42 feet
Answer:
5.42 feet
Step-by-step explanation: i hope its right and sorry if it's wrong
i need help asap thank you
Answer:G
Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G
Find the slope of the line?
Answer:
slope = 1/6
Step-by-step explanation:
(-3--4)/1--5)
rise/run
so slope = 1/6
please hbelpppppppppppppppppppppppp quick
Answer:
#1 I believe the answer is 4 and for 2 I believe the answers are 3&4
!!!! URGENT evaluate the geometric series below !
Answer:
C
Step-by-step explanation:
S(6)= -2(1-(-3)^6)/1-(-3)
Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?
Answer:
14 questions correct
Step-by-step explanation:
x/20 *100 = 70
so x/ 20 = 70/100(0.7)
x/20 = 0.7
x = 0.7*20
x =14
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
c
Step-by-step explanation:
For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?
Answer:
12 bottles of water.
Step-by-step explanation:
Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.
How many solutions are there to this equation?
3(3x−1)=6x−3
A. no solutions B. one solution C. two solutions D. infinite solutions
Answer:
B. One solution
Step-by-step explanation:
The only solution is x = 0
Someone need help guys :/ yeah me please help me
Answer:
Step-by-step explanation:
yes two triangles are congruent by SSS theorem (side Side Side)