![Find Y.Round To The Nearest Tenth:290500 FtyXy = [ ? ]ft](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/aWhPg3fbG53Ee3yjfvnmfrKrqt2VK8E3.png)
Answers
Answer:
y = 242.4x = 437.3First find the inner angle:
90° - 29°61°[ given hypotenuse = 500 ft ]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]
[tex]\hookrightarrow \sf x=sin(61)*500[/tex]
[tex]\hookrightarrow \sf x=437.3[/tex]
using pythagoras theorem:
a² + b² = c²y² + (437.3)² = 500²y = √58760.1y = 242.4Answer:
y = 242.4 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°
Using the sine trig ratio:
[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 29°O = [tex]y[/tex]H = 500 ftSubstitute given values and solve for y:
[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]
[tex]\sf \implies y=500sin(29)[/tex]
[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]
Related Questions
Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
Graph the equations. Estimate the solution of the system of equations.
Estimated solution:
Part B
Solve the system algebraically,
Show your work
I need help like I get it at some points and some at nun
Answers
this is the graph for y =4x+2
A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.
Solve .
Answers
The time of motion of the frog after it jumped into air is determined as 0.8 second.
Time of motion of the frog
The time of motion of the frog is determined by solving the quadratic equation as follows;
60t - 75t² = 0
60t = 75t²
divide both sides by t
60 = 75t
divide both sides by 75
60/75 = t
0.8 s = t
Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.
Learn more about time of motion here: https://brainly.com/question/2364404
IXL Question: Radical Expressions
Answers
Answer:
Step-by-step explanation:
[tex]\sf \sqrt{x^{10}}=\sqrt{x^{2*5}}\\\\[/tex]
[tex]\sf = \sqrt{(x^{5})^{2}}\\\\ = \sqrt{x^{5}*x^{5}}\\\\ = x^{5}[/tex]
Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm
Answers
Ball is sphere
r=16cmSurfAce area:-
4πr^24π(16)^24π(256)1024πcm^23215.36cm^2Answer:
Formula
Surface area of a sphere:
[tex]\sf SA=4\pi r^2[/tex] (where r is the radius)
Given information
[tex]\pi[/tex] = 3.14
r = 16
Final solution
Substitute given values into the equation and solve:
[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]
[tex]\sf =3215.36 \ cm^2[/tex]
Evaluate. 3 x 2/3 x 1/8
Answers
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
HOPE IT HELPS (^o^)/
#carryonlearning
In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total
Answers
Answer:
16 : 28
Step-by-step explanation:
If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.
28 - 12 = 16
So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
give they guy brainliest
Step-by-step explanation:
because hes right
The zeroes of a 3rd degree polynomial are 1 and (5 –
i).
Find the remaining zeroes.
-1
:)
-5 + i
no other zeros
5 + i
5+ i
?
Answers
Answer:
5 + i
Step-by-step explanation:
the Fundamental theorem of Algebra states that a polynomial of gegree n has n zeros , some of which may be complex.
A polynomial of degree 3 will therefore have 3 zeros
given x = 1 and 5 - i are two of the zeros
Complex zeros occur as conjugate pairs , then
5 - i is a zero then 5 + 1 is also a zero
the 3 zeros are x = 1 , x = 5 - i and x = 5 + i
Pls helpppppppppppppppppppppp
Answers
Answer:
Both of them are correct because if we simply the fraction of Edwin we will get the fraction of Tony
[tex] \frac{3}{6} [/tex]
[tex] = \frac{1}{2} [/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
This is because the dice has 6 different sides, which means it has a variation on 6. Since there is only 3 even numbers you could say there is a probability of 3/6. So Edwin is right, but if you simplify 3/6 you get 1/2 so Tony is also right.
The graph of a function is shown:
which of the following correctly identifies the set of outputs?
a: {(5,-2), (1,-1), (-2,2), (2,5)}
b: {(-2,5), (-1,1), (2,-2), (5,2)}
c: {-2, -1, 2, 5}
d: {-2, 1, 2, 5}
Answers
Answer:
B.
Step-by-step explanation:
Use (X, Y)
X being the horizontal line
Y being the vertical line
what is the quotient of 1,224 divided by 9
Answers
Answer:
136Step-by-step explanation:
Simply divide the numbers, the result is the quotient
1224/9 = 136The quotient of the given expression when 1,224 divided by 9 is 136.
The quotient is defined as the number obtained on dividing a number with some number.
The number left after the division is called as the remainder.
Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.
The quotient of the following expression can be calculated as:
When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.
So, it can be said that 136 is the quotient when 1,224 divided by 9.
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WILL GIVE BRAINLIEST HELP HELP HELP
Answers
Answer:
Divide y by x. The answer is 8
For example 252 divided by 30 equals 8.4
Round it out to 8.
Answer:
The answer is A
Step-by-step explanation:
you divide the Y by the X
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answers
Answer:
x = sqroot(122)
Step-by-step explanation:
First find the line that goes thru the middle of the shape. It is the hypotenuse of the bottom/left triangle. Use the pythagorean thm.
9^2 + 5^2 = h^2
81 + 25 = h^2
sqroot106 = h
Now sqroot106 is a leg in the right triangle that is on the top/right in the image.
Use pythagorean thm again.
4^2 + (sqroot106)^2
= x^2
16 + 106 = x^2
122 = x^2
sqroot122 = x
Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?
Answers
Answer:
43646
Step-by-step explanation:
I did not know
Answer:
25 pounds
Step-by-step explanation:
both are 49. and one is 24.
49-24=25. which has to be the weight of the second suitcase.
why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answers
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
Graph!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
see attached
Step-by-step explanation:
The given equation is in "point-slope" form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Comparing the equation to the form, you see ...
m = 3(h, k) = (-1, -3)__
The equation is easily graphed by plotting the point (-1, -3) and then drawing a line through it that has a slope (rise/run) of 3. That is, the line will go up 3 grid squares for each grid square to the right. (The origin is a point on the line.)
Find n if 103n+26n=131n
Answers
Answer:
0
Step-by-step explanation:
•103n+26n = 131n
Combine 103 n and 26 n to get 129n
•129n=131n
Substract 131n from both sides
•129n-131n=0
Combine 129n and -131n to get 2n
•-2n=0
Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.
•n=0
what is the area in the square units of the trapezoid below someone pls
help
Answers
Answer:
= 185 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases and b₁, b₂ the bases
here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²
How do you divide a number by a fraction?
For example, how would I go about solving this problem?
:
200.96 ÷ 3/4 =
Detailed answers only please.
Answers
There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.
Change the Fraction Into a Decimal
---3/4 = 0.75
So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:
20096 / 75 = ?
---The decimal point was moved two places to the right in order to make the former fraction a whole number.
Multiply by the Reciprocal
---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.
Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:
200.96/1 x 4/3 = ?
Answer: 803.84 / 3 = 267.9467
Hope this helps!
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
Answers
The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the trapezoidal prism can be given:
[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]
Where V = The volume of the trapezoidal prism:
Length of the trapezoid L = x
Top width a = (x+2)
Base width b = (x+4)
Height of the trapezoidal prism h = 2x
[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]
[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]
Thus, the volume of the trapezoidal prism is [tex]\rm (2x^3+6x^2)[/tex]
Learn more about the volume here:
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Answer:
A.
Step-by-step explanation:
right on edge
What is the volume of this triangular prism?
Answers
Answer:
The volume is 288 ft^3
Answer:
288
Step-by-step explanation:
The formula for finding the volume is to find the side and then multiplying it by the width. (half of the base times length times width) So, you first find the area of the triangle.
9x4=36, 36/2=18.
Then, 16x18=288.
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answers
Answer:
88772677020890.30
Step-by-step explanation:
To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Answer:
11852.97
Step-by-step explanation:
is the correct answer took the test on k12
please help me find m<G
Answers
Answer:
m∠G = 60°
Step-by-step explanation:
This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:
m∠H + m∠F + m∠E + m∠G = 360
90 + 150 + m∠E + m∠G = 360
Since this is a kite, m∠E = m∠G, so the equation can be represented as:
90 + 150 + 2(m∠G) = 360
Finally, solve by isolating m∠G:
2(m∠G) = 120
m∠G = 60°
Solve for j show work
8j-5+j=67
Answers
the answer is 8
8j-5+j=67
8J +j
9J-5=67
+5 +5
9J=72
/9 /9
j=8
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]
[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
a function is defined by f(0)=1 and f(n)=f(n-1)+n+1. Find f(5)
Answers
Answer:
f(5) = 21
Step-by-step explanation:
Given:
[tex]f(0)=1[/tex]
[tex]f(n)=f(n-1)+n+1[/tex]
[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]
[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]
[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]
[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]
[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]
Need help asap pls ty
Answers
Find x when y = 18, if y = 5 when x = 4
Answers
Answer:
y=18
x=14.4
Step-by-step explanation:
-
Harley is 8 years younger than India.
Jessica is three times older than Harley.
The sum of the three ages is 88.
Write the ratio of Jessica's age to India's age.
Answers
Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Harley's age.Variable y: India's age.Variable z: Jessica's age.Harley is 8 years younger than India, hence:
x = y - 8.
Jessica is three times older than Harley, hence:
z = 3x.
The sum of the three ages is 88, hence:
x + y + z = 88.
x + x + 8 + 3x = 88
5x = 80
x = 16.
Hence:
y = x + 8 = 24.
z = 3x = 48
The ratio of Jessica's age to India's age is given by:
z/y = 48/24 = 2.
More can be learned about a system of equations at https://brainly.com/question/24342899
I have no idea what to do here I'm really confused? I think my teacher said it was steps 2 and 3 but i dont see the issue
Answers
Answer:
Step 2-3
Step-by-step explanation:
I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.
That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.
Solve the system of equations using elimination: -4x+6y = − 12 and
-x - 5y = -16.
Answers
Answer:
x=x
Step-by-step explanation:
x=x because x has the same value as x
PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
Answers
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
Read more about arithmetic sequence at:
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