Answer:
x=33ft
height of tower=33+6=39ft
Which agency is responsible for supervising programs related to housing needs and community development? a. AARP b. OSHA c. HHS d. HUD
Answer:HUD
Step-by-step explanation:
HUD(Housing and Urban Development) is responsible for supervising programs related to housing needs and community development.
The ratio of red to yellow counters is 2:3 There are 20 counters in total. How many counters of each colour are there? You can colour the counters to help you. please help me
Answer:
2:3 = 5
Red counters
2÷5×20
= 8
- therefore there are 8 Red counters
Yellow counters
3÷5×20
= 12
-therefore there are 12 yellow counters
In ΔXYZ, ∠Z is a right angle and tan X=8/15. What is sin Y ? (F) 8/17 (G) 15/17 (H) 17/15 (I) 15/8
The correct answer is (F) 8/17.
In the given triangle ΔXYZ, ∠Z is a right angle and tan X = 8/15. We are asked to find sin Y.
To find sin Y, we can use the relationship between tangent and sine. The relationship is given by the Pythagorean identity:
tan^2 Y = sec^2 Y - 1
Since ∠Z is a right angle, we can use the Pythagorean theorem to find the value of sec^2 Y.
sec^2 Y = 1 + tan^2 Y
sec^2 Y = 1 + (8/15)^2
sec^2 Y = 1 + 64/225
sec^2 Y = 289/225
Now, we can substitute the value of sec^2 Y into the equation for tangent:
tan^2 Y = sec^2 Y - 1
tan^2 Y = 289/225 - 1
tan^2 Y = 289/225 - 225/225
tan^2 Y = 64/225
Taking the square root of both sides, we get:
tan Y = √(64/225)
tan Y = 8/15
Since sine is the reciprocal of cosine, we can find sin Y using the Pythagorean identity:
sin^2 Y = 1 - cos^2 Y
sin^2 Y = 1 - (cos Y)^2
sin^2 Y = 1 - (1/cos^2 Y)
sin^2 Y = 1 - (225/289)
sin^2 Y = (289 - 225)/289
sin^2 Y = 64/289
Taking the square root of both sides, we get:
sin Y = √(64/289)
sin Y = 8/17
Therefore, the value of sin Y is 8/17.
So the correct answer is (F) 8/17.
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Using the definition of sine we obtain that sin Y = 8/17. Hence, the correct answer is (F) 8/17
To obtain sin Y, in triangle XYZ, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Since ∠Z is a right angle (90 degrees), we have:
To obtain sin Y:
∠X + ∠Y + ∠Z = 180 degrees
∠X + ∠Y + 90 degrees = 180 degrees
∠X + ∠Y = 90 degrees
We also know that tan X = 8/15.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.
In this case, we can assign the opposite side of ∠X as 8 (let's call it side X) and the adjacent side as 15 (let's call it side Y).
Therefore, we have:
tan X = 8/15
opposite/adjacent = 8/15
opposite = 8, adjacent = 15
Now, we can use the Pythagorean theorem to obtain the length of the hypotenuse, which is the side opposite the right angle ∠Z:
hypotenuse² = opposite² + adjacent²
hypotenuse² = 8² + 15²
hypotenuse² = 64 + 225
hypotenuse² = 289
hypotenuse = √289
hypotenuse = 17
Since we know the lengths of all three sides of triangle XYZ, we can now obtain sin Y using the definition of sine:
sin Y = opposite/hypotenuse
sin Y = 8/17
Therefore, the correct answer is (F) 8/17.
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aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?
Answer:
answer 215 nickels
Step-by-step explanation:
I honestly am so confused right now , pleas help
Answer:
never really liked accounting, but...
The Assets seem to total $33000
and the Liabilities also seem to add to $33000
that seems to be what is supposed to happen in an accounting problem
Step-by-step explanation:
If L II M, solve for x and y
I’ll give Brainliest to best answer
Answer:
x=17
y=9
Step-by-step explanation:
set 3x-4=5x-38
-2x=-34
x=17
plug x back into equa.= 47 degrees
180-90(right angle)-47=43
7y-20=43
7y=63
y=9
What expression is equal to 3/7 divided by 5/12?
Answer:
The answer is 6/77
Step-by-step explanation:
I'll give brainiest
A trapezoid is a parallelogram true a false
pls explain why
Answer:
True
Explanation:
Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. ... A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.
Answer:
Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. so no
Step-by-step explanation:
The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.
Answer:
D
Step-by-step explanation:
Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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Which of the following is the best deal? A. 6-oz box of crackers for $1.08c. 8-oz box of crackers for $1.20b. 7-oz box of crackers for $1.19d. 9-oz box of crackers for $1.26
Answer:
Step-by-step explanation:
The answer is D
1.19/7-.17
1.20/8-.15
1.26/9-.14
1.08/6-.18
i think this is it
Check all that apply for the series [infinity] 12 n n=1 Diverges by the Divergence Test (nth term test). Convergent Geometric series. Divergent Geometric series. Divergent Harmonic series. Convergent Alternating Harmonic Series. Convergent p-series. Divergent p-series. Convergent by Comparison/Limit Comparison Test. Divergent by Comparison/Limit Comparision Test. Convergent by Alt. Series Test. Convergent by Ratio/Root Test. Divergent by Ratio/Root Test.
In general, the Divergence Test (nth term test) only allows us to determine whether a series diverges or not. It does not help us to determine the convergence of a series. Therefore, none of the other tests apply to this series.
The Divergence Test (nth term test) states that if the limit of the nth term of a series is not equal to zero, then the series diverges.
The series [infinity] 12 n n=1 is defined as follows:
[infinity] 12 n n=1 = 12¹ + 12² + 12³ + ...
The nth term of this series is given by:
aₙ = 12ⁿ As n → ∞, aₙ → ∞,
which means the limit of the nth term of the series does not exist.
Therefore, the series [infinity] 12 n n=1 diverges by the Divergence Test (nth term test).
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Question 6 of 18
Solve px + 17 = 12 for x.
A. x=p-5
B. x = -5-p
O C. x=
29
p
O D. X--500
Answer:
x = - \(\frac{5}{p}\)
Step-by-step explanation:
px + 17 = 12 ( subtract 17 from both sides )
px = - 5 ( isolate x by dividing both sides by p )
x = \(\frac{-5}{p}\) = - \(\frac{5}{p}\)
Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?
The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.
Answer:
The vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
First, let's find the zeros of the equation
Factor the equation
-2x² + 8x = -2x(x - 4) = 0
-2x = 0
x - 4 = 0
h(x) is 0 when x = 0 or 4
Now we add those zero's together and divide by 2 to find the middle (the axis of symmetry)
4 + 0 = 4
4 ÷ 2 = 2
Now plug 2 into the original equation to find the vertex
h(x) = -2(2)² + 8(2) = 8
Since h(x) equals 8 at the axis of symmetry, which is 2, our vertex is (2,8)
The correct statement concerning the vertex and axis of symmetry of
h(x) = −2x^2 + 8x is:
The vertex is at (2, 8) and the axis of symmetry is x = 2.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The correct statement concerning the vertex and axis of symmetry of
h(x) = −2x^2 + 8x is:
To find the vertex and axis of symmetry of a quadratic function in standard form (y = ax² + bx + c), we can use the formulas:
x = -b / 2a (for the x-coordinate of the vertex)
y = (c - b²) / 4a (for the y-coordinate of the vertex)
and
x = -b / 2a (for the equation of the axis of symmetry)
In this case,
a = -2, b = 8, and c = 0.
Substituting these values into the formulas above, we get:
x = -8 / 2(-2) = 2 (x-coordinate of vertex)
y = 0 - 8² / 4(-2) = 8 (y-coordinate of vertex)
x = 2 (equation of the axis of symmetry)
Therefore,
The vertex is at (2, 8) and the axis of symmetry is x = 2.
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The map shows different locations at a county fair. Each unit of the coordinate plane represerits 1 meter.
Which expression shows how to use the coordinates of the Ferris wheel and ticket booth to find the distance between
them?
A) (-3) - 2
B) 4 - 4
C) 2 - 4
D) 4 - (-3)
Step-by-step explanation:
answer is a I got it right on the quiz
Answer:
A
Step-by-step explanation:
When a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively. Find the number
Answer:71
Step-by-step explanation:
71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.
We need to find the number.
In division there are three parts the divider, dividend, quotient, and remainder.
Let us find the LCM of 8,9 and 6
LCM of 8, 9,6 is 72
72-1=71
Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
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1.35 times ? = closest to 60.00
Answer:
44.44 repeating
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
The reason is because if you multiply by 45 then you get 60.75 which is over but if you multiply it by 44 your exact number is 59.4 which is closer then the one after it.
What is the equivalent fraction Of 10 over 15
Answer:
2/3
Step-by-step explanation:
a spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. the spinner is spun several times, and the results are recorded below: spinner results color frequency red 10 blue 12 green 2 yellow 19 purple 12 if the spinner is spun 1000 more times, about how many times would you expect to land on purple? round your answer to the nearest whole number.
Based on the recorded results, purple appeared 12 times out of a total of 55 spins. If the spinner is spun 1000 more times, we can estimate that purple would appear approximately 218 times.
In the recorded results, the spinner was spun a total of 55 times, with purple appearing 12 times. To estimate the expected frequency of purple in 1000 additional spins, we can calculate the probability of landing on purple based on the recorded frequencies. The probability of landing on purple can be calculated by dividing the frequency of purple (12) by the total number of spins (55):
Probability of landing on purple = Frequency of purple / Total number of spins = 12 / 55
We can use this probability to estimate the expected frequency of purple in the additional 1000 spins:
Expected frequency of purple = Probability of landing on purple * Total number of additional spins
≈ (12 / 55) * 1000
≈ 218
Therefore, based on this estimation, we would expect purple to appear approximately 218 times if the spinner is spun 1000 more times.
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What would be the missing step in this problem?
Answer:
Below
Step-by-step explanation:
The missing step is the factorization of the quadratic
(x+3)(x+2)
if the probability of events is 2/7 what must be the complement ?
If the probabilty of Event E is p, then,
the probability of Complement of Event E would be "1 - p".
So, to get the complement's probability, we subtract the normal probability from "1".
Hence, the probabilty of the complement would be:
\(\begin{gathered} 1-\frac{2}{7} \\ =\frac{7}{7}-\frac{2}{7} \\ =\frac{5}{7} \end{gathered}\)rationalise the denominator√3-√5/√7-√6
Answer:
√21 + 3√2 - √35 - √30
Step-by-step explanation:
Given :-
√3 - √5 / √7 - √6
Solving :-
= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)
= √21 + √18 - √35 - √30 / 7 - 6
= √21 + 3√2 - √35 - √30
Solution :-
√21 + 3√2 - √35 - √30
Answer:
⇒√21+√18-√35-√30
Step-by-step explanation:
\(\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} } \\\\\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} }*\frac{{\sqrt{7}+\sqrt{6} }}{{\sqrt{7}+\sqrt{6} }} \\\\\frac{(\sqrt{3}-\sqrt{5})*(\sqrt{7}+\sqrt{6} ) }{(\sqrt{7})^{2}-(\sqrt{6})^{2} } } \\\\\frac{\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30} }{7-6}\\\\\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30}\)
32 + 33 + 34 = 9 + 27 + 81 = 117.
Answer:
If they are all supposed to be addition signs your answer is 333.
If the equal sign before the 9 is supposed to be the only equal sign your answer is 99=234; which is false.
If the equal sign before the 117 is supposed to be the only equal sign your answer is 216=117; which is false.
Hope This Helps!
out of 240 marbles 180 marbles are red what percent of marbles are red 
Answer:
180÷240 × 100%
75% is answer
\(\dfrac{180}{240}\cdot100\%=\dfrac{3}{4}\cdot100\%=3\cdot25\%=75\%\)
Help, I have a time limit for this
Answer:
I believe that it is the first one.
Step-by-step explanation:
Select all rational numbers.
√75
-√25
2*√7
√100
√0.36
√0.0144
√3/7
-√36/49
The rational numbers are -√25, -√25, √100, √0.36, √0.0144 and -√36/49. Select them
How to identify rational numbers?A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers e.g 2/3, 7/1, √100 = 10/1, etc.
An irrational number is any real number that cannot be expressed as the quotient of two integers. This is the opposite of rational numbers. They are usually of roots that cannot give integers e.g 3√5, √8, etc.
√75 = √(25 x 3) = √25 x √3 = 5 x √3 = 5√3 (This is not rational)
-√25 = -5 = -5/1 (This is rational)
2*√7 = 2√7 (This is not rational)
√100 = 10 = 10/1 (This is rational)
√0.36 = √(36/100) = 6/10 (This is rational)
√0.0144 = √(144/10000) = 12/100 (This is rational)
√3/7 = √3/7 (This is not rational)
-√36/49 = -6/7 (This is rational)
Therefore, -√25, -√25, √100, √0.36, √0.0144 and -√36/49 are rational numbers. They should be selected
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5. A magic kit regularly priced at $15.30 is 70% off the regular price. What is the DISCOUNT?
a) $4.59
b) $10.71 c) $6.12
d) $9.18
Answer:
B. $10.71
Step-by-step explanation:
15.30 x 0.7 = 10.71
It is B. $10.71
jniibjpn
What word is missing from this true mathematical statement: Twelve is congruent to 60 ______ 8 because both 12 and 60 have 4 as a remainder when divided by 8?
The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.
The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.
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The perimeter of the school crossing sign is 102 inches. What is the length of each side?
Equation: _ =102
s=_
Question 2
Label the length of each side in inches
Answer:
1) s=15
2) 15, 21, 21, 15, 30 from left to right
Step-by-step explanation:
First you turn this into an equation: s+6+s+6+s+s+2s
Collect like terms: 4s+ 12 + 2s
Simplify: 6s+12
Bring back into a full equation: 6s+12=102
Simplify= 102-12=6s
90= 6s
90/6=s
s=15
Then bring back into sides: Left side and right sides are 15 as s= 15
15+6= 21 so both top sides are 21
2×15=30
So it goes in the order from left to bottom clockwise:
15, 21, 21, 15, 30
Hope this helps, if you need anymore help message me
:)
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters. What is the area of the composite figure? 70 cm2 100 cm2 105 cm2 130 cm2
Answer:
D. 100 cm^2
Step-by-step explanation:
i did this before so ik im right
Answer: B 100
Step-by-step explanation:
I just took it