Answers
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
Related Questions
Which equation represents a line which is parallel to the line y=7/2x-4
Answers
Answer:
y=-(7)/(2)x-5
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
Answer:
y = 7/2x + 2
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
Jameson puts $4,000 in graduation money in an account for 10 years. The interest rate is 4.2%. If he withdraws all of the money after 10 years, how much
does he take out?
Answers
Answer:
2,320
Step-by-step explanation:
4.2% gets taken every year and there is 10 year,so 4.2% s uqual to 0.042,so just mutiply 4000 by 0.042 which is 168,then times 168 by 10 which brings you to 1680 and 4000 subtracyed by 1680,which equals 2,320
70% of the magic tricks that Jade knows are card tricks. If she knows 14 card tricks, how many magic tricks does Jade know in all?
Answers
Answer:
20
Step-by-step explanation:
Given data
Let the number of magic tricks be x
we are told that she knows 70% of card trick which is 14 card tricks
hence we have
70/100*x= 14
0.7x= 14
x= 14/0.7
x=20
Hence the number of magic tricks she knows is 20
Help please ASAP! will give brainiest and other!!!!!
No robots pls!
The level words that you are weaks is represented by the equation y = 15
A. Graph the equation.
You learn ___ new vocabulary words per week.
B. How many vocabulary words do you learn after 5 weeks? You learn ____ words.
C. How many more vocabulary words do you learn after 6 weeks than after 4 weeks? You learn___ more words.
Answers
Answer:
A is 15, B is 75, and C is 30
Step-by-step explanation:
Answer:
a.
graph this on desmos
y=15x
you learn 15 new vocab words per week
b.
75 words in 5 weeks
c.
30 more words
Step-by-step explanation:
I just need help with the graphing!
Answers
Answer:
solution is in attachment
hope it helps
The base area of cube is 64 square cm. Find its volume.
Answers
Answer:
a cube has 8 sized
Step-by-step explanation:
64 ×8 equal 512.
Does negative 3 fourths times negative 5 sevenths equal negative 15 twenty-eighths? Sorry if it don't make sence
Answers
Answer:
-3/4* -5/7 = -15/28??
Step-by-step explanation:
Answer is correct!
And don’t worry! You make sense!
Sorry if I’m asking too much, but can I have Brainliest??
What is h?
Im so confused on this question
Answers
Answer:
i think h stands for height. I dont see it standing for any thing else
Step-by-step explanation:
43,5% of this skeleton's body is his mermaid tail.
Write the percent as a decimal.
Answers
Answer:
0.435
Step-by-step explanation:
43.5*0.01=0.435
I don’t know how to answer this
Answers
Answer:
EII
Step-by-step explanation:
Find the area of the trapezoid
A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2
Answers
Answer:
D. 84 ft^2
Step-by-step explanation:
Formula for area of a trapezoid:
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
base 1 = 9ft
base 2 = 12ft
height = 8ft
Using the following information we plug in the values into the formula
[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]
Hence, the area of the trapezoid is 84ft² and your answer is D
Which equation shows the quadratic formula used correctly to solve 7x^2 = 9 + x for x?
Answers
Answer:
Step-by-step explanation:
We must rewrite 7x^2 = 9 + x in standard form first: 7x^2 - x - 9 = 0.
The coefficients are 7, -1 and -9, and so the discriminant b^2 - 4ac is
(1)^2 - 4(7)(-9) = 253.
The roots are:
-(-1) ± √253 1 ± √253
x = --------------------- = --------------------
2(7) 14
[Image holds question]
answer and step by step explanation needed please ..
Answers
Answer:
The answer is D
Step-by-step explanation:
Volume of a cube = edge x edge x edge
volume of one cube= 4x4x4=64
64x3= 192
HELP ME NOWWWWWW. thanks.
Answers
Answer:
LETTER C. PO 40 ang sagot
Question 11
2, 10, 50, ...
plz help me out!
Answers
Answer:
250
Step-by-step explanation:
Every number is multiplied by 5
2 x 5 = 10
10 x 5 = 50
50 x 5 = 250
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answers
Answer:
D
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius ) , then
x² + y² = ([tex]\sqrt{249}[/tex] )² , that is
x² + y² = 249 → D
P is a prime number.
Show that p²+6 could be either even or odd
Answers
p ² + 6 is even if p ² is even (the sum of two even numbers is even), and this happens only if p itself is even, i.e. if p = 2 since 2 is the only even prime.
All other primes p are odd, so p ² would be odd, and adding 6 would not change that (odd + even = odd).
HELP! I’LL GIVE BRAINLIEST ANSWER
Answers
Answer:
d. 20°
Step-by-step explanation:
First, we need to solve for m<Q
m<Q+m<R+m<S=180°
where m<R=90° and m<S=70°
m<Q+90°+70°=180°
m<Q=20°
Since m<Q=m<M
Then, m<M=20°
help please I would appreciate it thank u
Answers
Answer:
radius = 7.5 cm
Step-by-step explanation:
Since M is the midpoint of the chord AB then OM is perpendicular to AB
Using Pythagoras' identity in right triangle OMB with hypotenuse OB, the radius of the circle, then
OB² = OM² + MB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )
OB = radius = [tex]\sqrt{56.25}[/tex] = 7.5
Which expression is equivalent to 2⁻⁴ x 2⁴
Answers
Answer: You have to provide the options in order for people to help.
Step-by-step explanation:
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answers
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.
Answers
Answer:
7 radians
Step-by-step explanation:
In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.
Since our Angle in in radians
The formula for Arc length = S = rθ
S = 14π
θ = central angle = 2π radians
Hence
r = S/θ
r = 14π/2π radians
r = 7 radians
Radius = 7 radians
a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
Answers
Answer:
y=x+5
Step-by-step explanation:
So first you need to plug everything into the point-slope formula which is
y-y1=m(x-x1)
m being the slope and y1 and x1 being the point (5,10)
So once you plug it in it should look like this: y-10=1(x-5)
Now you solve it
First you need to distribute 1 in 1(x-5) which is (x-5)
Now you have y-10=x-5
Then you add 10 to both sides which is y=x+5
Your answer is y=x+5
4 m
5 m
3 m
surface area =
Answers
Answer:94 m^2
Step-by-step explanation:
surface area equation for rectangle is 2*(a*b + a*c + b*c)
where a=4 b=5 and c=3
so substitute in all numbers and get:
Surface Area = 2×(4×5 + 4×3 + 5×3)
do the maths and got a solid 94 meters
(I squared because in this equation you are multiplying numbers that equal the area of a surface and not the whole volume which would be cubed)
What is the difference between the two rates of
change?
Function A
Function B.
7
14
21
Y
3
10
17
Answers
Answer: ben dover
Step-by-step explanation:
touch your toes ill show you where the wild goose goes
what is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?
Answers
Answer:
0.7890176%
Step-by-step explanation:
First, there is a 64% chance of failing a test.
Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.
Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%
Now we need to multiply each chance of something happening by one another
64% × 7.4% = 0.04736%
4.736% × 16.66% = 0.7890176%
So there is a 0.7890176% of all of these happening
The probability that you will fail a test, draw a red ace, and then roll a 6 is 0.7890176%
We have given that,
First, there is a 64% chance of failing a test.
We have to determine the probability
What is the probability?
Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.
You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.
Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%
Now we need to multiply each chance of something happening by one another
64% × 7.4% = 0.04736%
4.736% × 16.66% = 0.7890176%
So there is a 0.7890176% of all of these happening
Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is 0.7890176%.
To learn more about the probability visit:
https://brainly.com/question/25870256
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Please help me with this math question.
Answers
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
3) Using the picture, find the measure of side J.
A) 28√3
B)28
C)56
4) Using the same picture, find the measure of side K.
A) 28√3
B)28
C)56
Answers
Answer:
solution is in attachment
hope it helps
Which of the following is an irrational number?
Answers
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer.
Which statement about the students' preferences is true?
Answers
The statement (D) "the fewest students prefer black Model A1 calculators" is correct.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
There is the fewest value is 0.05
More students prefer Model C3 calculators than Model A1 calculators, mathematically,
0.30 > 0.45 (false)
More students prefer black calculators than white calculators, mathematically,
0.35 > 0.65 (false)
Similarly, statement third is also false.
Thus, the statement (D) “the fewest students prefer black Model A1 calculators” is correct.
Learn more about the conditional relative frequency here:
brainly.com/question/8358304
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