Answers
Answer:
i) 3.7 cm
ii) 3.0 cm
Step-by-step explanation:
When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.
__
i)The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...
Tan = Opposite/Adjacent
tan(63°) = k/(1.9 cm)
k = (1.9 cm)tan(63°) ≈ 3.7 cm
The length k is about 3.7 cm.
__
ii)Again, the tangent function can be used to solve this triangle.
tan(42°) = (2.7 cm)/p
p = (2.7 cm)/tan(42°) ≈ 3.0 cm
The length p is about 3.0 cm.
Related Questions
If the solids above are dice being measured for production, which of the
solids above uses the best units?
A Solid A
B. Solid B
C. Solid C
Help quickly please!!
Answers
Answer:
solid A
Step-by-step explanation:
I'm sorry for late
Answer:
Step-by-step explanation:
Happy Ramadan!
Hope this help :)
Work out
(
1.8
×
10
−
3
)
÷
(
2
×
10
−
7
)
Give your answer in standard form
Answers
Answer:
1.15
Step-by-step explanation:
(1.8*10-3)/(2*10-7)
(18-3)/(20-7)
15/13
1.15
..................
In the figure below
Answers
Find the value of x. (4x + 12)° 64°
Answers
Answer:
C. 13Step-by-step explanation:
the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure
therefore
4x + 12 = 64
⇔ 4x = 64 - 12
⇔ 4x = 52
⇔ x = 52/4
⇔ x = 13
-(x+4)+3x=1=2x+5 distributive propert
Answers
Answer:
=5(9)+6+1. =45+7 =52
=52.move the x with the negative exponent into the denominator and change the sign. 1,3x'y+2xy-5y.solve when x = - 2;y = 3
Step-by-step explanation:
HELP I NEED THESE FOR TODAY MOST BRAINIEST FOR THE FIRST :)!!
The function f(x) is shown on the graph.
The graph shows three pieces of f of x. One piece is curved in quadrant three increasing from the left and turning at approximately negative 3.8 comma negative 5.5 to then decreases and is asymptotic to the line x equals negative 2. Another piece is an upward opening u-shaped curve, which is asymptotic to the line x equals negative 2 and x equals 2 with a minimum at approximately negative 0.3 comma 2.4 3.24. Another piece is asymptotic to the line x equals 2 and is increasing from the left and passes through the point 3 comma 2 and continues to increase in quadrant one.
Which type of function describes f(x)?
Exponential
Logarithmic
Polynomial
Rational
Question 2(Multiple Choice Worth 2 points)
(07.04 MC)
The table of values represents a continuous function.
x
–3
–1
1
3
5
7
9
g(x)
0.375
0.75
1.5
3
6
12
24
Which type of function describes g(x)?
Exponential
Logarithmic
Polynomial
Rational
Question 3(Multiple Choice Worth 2 points)
(07.04 MC)
Which of the following is an example of a polynomial function?
f(x) = 5x3 + 2x2 – 6x + 7
g of x equals the quantity x squared plus 2x minus 3 end quantity divided by the quantity x minus 4 end quantity
h(x) = 750(1.04)x
p(x) = log3(x)2
Question 4(Multiple Choice Worth 2 points)
(07.04 MC)
Given a polynomial function f(x) = 2x2 + 7x + 6 and an exponential function g(x) = 2x + 5, what key features do f(x) and g(x) have in common?
Both f(x) and g(x) increase over the interval of [–4 , ∞)
Both f(x) and g(x) have the same x-intercepts of (–2, 0) and (–1.5, 0).
Both f(x) and g(x) have the same y-intercept of (0, 6).
Both f(x) and g(x) have the same range of (–∞, 0].
Question 5(Multiple Choice Worth 2 points)
(07.04 MC)
What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.
Answers
The table of values of function g(x) and the function f(x) = 5x3 + 2x2 – 6x + 7 are illustrations of exponential functions and polynomial functions
2. The type of function g(x)The values on the table can be represented as:
(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)
The above values show that as the values of x increases by 2, the values of function g(x) doubles.
Only an exponential function has this property.
Hence, the table of values represents an (a) exponential function.
3. Example of a polynomial functionA polynomial function is represented as:
y = ax^n + bx^n-2 + .......... + d
Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7
4. Key features in the functionsThe functions are given as
f(x) = 2x2 + 7x + 6
g(x) = 2x + 5
Set x to 0 to calculate the y-intercept
f(0) = 2(0)2 + 7(0) + 6 = 6
g(x) = 2^0 + 5 = 6
Hence, both functions have the same (c) y-intercept
Questions 1 and 5 are not properly presented
Read more about exponential functions at:
https://brainly.com/question/12940982
Read more about polynomial functions at:
https://brainly.com/question/2833285
Answer:
exponential function
Step-by-step explanation:
HS Teacher
I NEED HELP ASAP AND WILL GIVE BRAINLIEST
Rachel had a total of 854 local and foreign stamps. 3/7 of the stamps were foreign stamps. After her father gave her more foreign stamps, the fraction of the stamps that were foreign stamps became 2/3. How many foreign stamps did Rachel’s father give her?
Answers
Answer:
27 other stamps
Step-by-step explanation:
if you take the 88 percent and turn it into a decimal you get .88 Than you multiply .88 times the 225 stamps and that gives you 198 stamps. But that is not the answer because that is the number for foreign stamps and its asking how many other stamps are there. so you would do 225-198 stamps and get the left over 27 stamps!
hope this helps
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%
Answers
Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.
The z-score is given as
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be
For x = 0.37, then we have
[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]
For x = 0.39, then we have
[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]
Then the probability will be
[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
B. 17%
Step-by-step explanation:
Got it from a quizlet with very many five star reviews
4. Evaluate and then express 2(11 x 10') in the form A X 10" where Is A < 10 and n is an integer
Answers
Answer:
Step-by-step explanation:
hello : 2,2×10² where : A =2,2 ( A < 10) qnd n =2 (is integer)
How can a cruise ship float despite its mass (This is science)
Answers
A cruise ships floats despites it mass because it is boyanty and experiences and upthrust
Achimedes Principle of FloationThis principle states that "When a body is partially or totally imersed in a fluid, it experiences an upward force (Upthrust) which is equal to the volume of the fluid displaced"
Learn more about floation here:
https://brainly.com/question/17759399
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answers
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
Carol, an avid hiker, typically loses 2 pounds of weight during a 3-hour hike. She always brings a Camelbak hydration pack with her, drinking 50 ounces during her hikes. How much should Carol be drinking per hour to meet her total fluid needs
Answers
The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.
How many fluids should Carol drink hourly?Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.
Water to be drank per hour = total water drank / hours of hike
50 / 3 = 16.67 ounces
To learn more about division, please check: https://brainly.com/question/13281206
posting this again please help^
Answers
I have no idea thank me for my help
A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE
Answers
Answer:
22670.8 :D
Step-by-step explanation:
Volume of a cylinder: 3.12(r^2)h
Now lets solve :)
3.14(19^2)20
3.14(361)20
(1133.54)20
22670.8 :)
Have an amazing day!!
Please rate and mark brainliest!!
In the figure below, all lines intersect at point W. What is the value of angle VWX?*
Answers
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
What is the surface area?
Answers
Answer:
24 ft^2
Step-by-step explanation:
The srface area consisists of 2 triangles and 3 rectangles.
Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3
= 12 + 4 + 5 + 3
= 24 ft^2.
5. During a game of golf, Kayley hits her ball out of a sand trap. The height of the golf ball is modeled by the
equation h=-16r² + 20 - 4, where h is the height in feet and is the time in seconds since the ball was hit.
Find how long it takes Kayley's golf ball to hit the ground.
a. Write the equation that you are trying to solve.
b. Solve the equation by factoring.
Answers
Answer:
(a) [tex]\sf -16r^2+20r-4=0[/tex]
(b) r = 1, r = 1/4
Step-by-step explanation:
Given equation: [tex]\sf h=-16r^2+20r-4[/tex]
where:
h = height (in feet)t = time (in seconds)Question (a)
The ball will hit the ground when h = 0
[tex]\sf \implies-16r^2+20r-4=0[/tex]
Question (b)
To factor [tex]\sf -16r^2+20r-4=0[/tex]
Divide both sides by 4:
[tex]\sf \implies-4r^2+5r-1=0[/tex]
Swap signs:
[tex]\sf \implies 4r^2-5r+1=0[/tex]
Split middle term:
[tex]\sf \implies 4r^2-4r-r+1=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\sf \implies 4r(r-1)-(r-1)=0[/tex]
Factor out common term (r - 1):
[tex]\sf \implies (4r-1)(r-1)=0[/tex]
Therefore:
[tex]\sf \implies (4r-1)=0 \implies r=\dfrac14[/tex]
[tex]\sf \implies (r-1)=0 \implies r=1[/tex]
How many members did not vote for the art club the percent is 75% and there are 60 people?
Answers
Answer:
45 people
Step-by-step explanation:
Find what 1/4 (25%) of 60 is by dividing it by 4.
You get 15, then multiply that (25%) by 3 to get 75%.
15x3 = 45
45 is your answer.
75 / 100 × 60 = 45 members
Number of members who did not vote
60 - 45 = 15 members
2 regular octagons have sides of lengths 21 and 28, respectively. find the scale factor and ratio of the areas.
Answers
by definition two regular polygons of the same amount of sides will be similar. Check the picture below.
the sum of a number w and twenty-four to the power of four
Is it (W+24)⁴ or W+24⁴
Answers
Answer:
(w + 24)⁴
Step-by-step explanation:
The sum is to the power of four, so it would be the entire expression.
Hope this helps!
Please help me I’m really bad at geometry
Answers
Answer:
x+15=180(being co-interior angle)
x=180-15
x=165
what is point?
(in mathematics)
Answers
Step-by-step explanation:
a microscopic membrane of lipids and proteins which forms the external boundary of the cytoplasm of a cell or encloses a vacuole, and regulates the passage of molecules in and out of the cytoplasm
thx for ur poi.nts buddy
kese h.o aap
i need help im stuck lol
Answers
Answer: Angle A = 120 degrees.
Step-by-step explanation:
Answer:
50 degrees sorry if wrong
Step-by-step explanation:
Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2
A 15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14
B 8 1 over 7, 8.14 repeating 14, square root 64, 15 over 2
C square root 64, 8 1 over 7, 8.14 repeating 14, 15 over 2
D 15 over 2, square root 64, 8.14 repeating 14, 8 1 over 7
Answers
Answer:
D
Step-by-step explanation:
15/2= 7.5
square root of 64= 8
8 1/7= 8.14285...
Emilia and Rose ran around a track. Emilia ran 3 more laps than Rose. Altogether, they ran 11 laps.
How many laps did Rose run?
Answers
Help which one is propotional?
Answers
Answer: C
Step-by-step explanation: Because that table is showing (x - y)
Help ASAP!!! Will Mark Brainliest!!! Don't Know, Don't Answer!!!
Answers
Answer:
the question is blurry, please resend it
help (picture below!)
Answers
OPTION C
[tex]\bold{EXPLANATIONS:}[/tex]
The angle of elevation to a nearby tree from a point on the ground is measured to be 20∘
. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
33.49 feetStep-by-step explanation:
This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.
Use trigonometry to find the height
x / 92 = tan 20°x = 92 tan 20°x = 33.49 feet (rounded)[tex]\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}[/tex]
[tex]\\ \rm\rightarrowtail cot20=\dfrac{92}{P}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{cot20}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}[/tex]
[tex]\\ \rm\rightarrowtail P=33.49ft[/tex]
Factor −4x^2 +6x. Is this a special product?
