Answer:
6 feet
Step-by-step explanation:
C. 6 feet
Length of Side g is 6 feet
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given,
∠F = 49°
Length of side f = 7 feet
∠G = 40°
length of side g = ?
According Sine rule,
[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]
[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]
[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]
g = 5.96 ≈ 6
Hence, length of side g is 6 feet.
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solve for w and y
w=
y=
Answer:
it is w45 y 10
Step-by-step explanation:
Using factoring, what is the solution to the equation 2x2 + 3x – 5 = 0
While on a business trip to Millersburg, Camilla treated her co-workers to a meal that cost $300. Camilla knew that when the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, how much did Camilla's meal cost?
When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.
Given that,
Original Meal Cost: $300
Sales Tax: 8% of the original meal cost
Tip: 15% of the original meal cost
Total Cost: Sum of the original meal cost, sales tax, and tip
Original Meal Cost = $300
Sales Tax = 8% of $300 = 0.08 * $300 = $24
Tip = 15% of $300 = 0.15 * $300 = $45
Total Cost = Original Meal Cost + Sales Tax + Tip
Total Cost = $300 + $24 + $45 = $369
Including tax and tip, Camilla's meal cost $369.
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The square of a non-zero number is equal to 70% of the original number. What
is the original number?
Answer:
0.7.
Step-by-step explanation:
x^2 = 0.7x
x^2 - 0.7x = 0
x(x - 0.7) = 0
x = 0, 0.7.
After solving the quadratic equation x² = 0.7x , we get that the original number is 0.7
What is a quadratic equation?
Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by
ax²+bx+c =0, where a, b, c are constants and a≠0
We can solve this equation by factorizing ax²+bx+c and putting those factors equal to zero to solve for x.
Let a non zero number be x, x≠0 and given that the square of a non zero number is equal to the 70% of the original number.
As 70 % of the original number = 70/100(x) = 0.7 x
⇒ x² = 0.7 x
⇒x²-0.7 x = 0
⇒ x(x -0.7)= 0
⇒ x =0 and x - 0.7 = 0
⇒ x = 0.7, as we have given that x is a non zero number
Therefore, the original number is 0.7
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Is it possible for a sixth degree polynomial function with integer coefficients to have no real zeroes? Choose all that apply: Yes No
Using the Factor Theorem, it is found that yes, it is possible for a sixth degree polynomial function with integer coefficients to have no real zeroes, as they can have three complex-conjugate pairs.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
If a complex number is a root of a function, it's conjugate will also be a root. Thus, with three pairs of complex-conjugate roots, for example, [tex]\pm i, \pm 2i, \pm 3i[/tex], a sixth degree function with no real zeros is formed, so the answer is Yes.
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pls help thanks!!!!!!
Answer:
he will have 29 nickles
Step-by-step explanation:
I just solved it on paper, hope it helps and if it's right
George has 4 sets of socks, and 4 sets of shoes. Each pair has a different color: White, Brown, Black, and Blue. If George selects a pair of socks (same color) and a pair of shoes (same color) at random, what is the theoretical probability that George will choose a white pair of shoes and a pair of socks that are not white
Using it's concept, it is found that there is a [tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
One out of four pairs of shoes are white.Three out of four pairs of socks are not white.Since the events are independent:
[tex]p = \frac{1}{4} \times \frac{3}{4} = \frac{3}{16}[/tex]
[tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.
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What angle looks like congruent to angle A
Answer:
-------------------------
Step-by-step explanation:
the angles 5 and 8 are also congruent to A.
NEED HELP WILL GIVE BRAINLIEST!!! PLEASE ANSWER THE TWO QUESTIONS ABOVE!
Answer:
1. 9 6/12
2. 4 3/12
Step-by-step explanation:
I did the math on it.
Answer:
3. 9 (6/12)
4. 4 (3/12)
Step-by-step explanation:
Question 3:
6 (2/6) × 1 (1/2)
multiply the whole number by the denominator
6 x 6 = 36 + 2 (numerator) = 38/6
2 x 1 = 2 + 1 = 3/2
(38/6) x (3/2)
multiply (3/2) by 3
3 x 3 = 9
2 x 3 = 6
38/6 x 9/6
38 x 9 = 342
6 x 6 = 36
19/2 = 9 (1/2) or 9 (6/12)
Question 4:
5 (2/3) × (3/4)
15 + 2 = 17
17/3 x 3/4
17 x 4 = 68
3 x 4 = 12
3 x 3 = 9
4 x 3 = 12
(68/12) x (9/12)
68 x 9 = 612
12 x 12 = 144
612/144 = 4 (1/4) or 4 (3/12)
I hope this helps! I'm sorry if this is confusing.
if a rectangle has a perimeter of 18 cm, and a height of 4 cm, what is the area?
Answer:
20 cm²
Step-by-step explanation:
Look at the diagram attached.
If the height is 4cm, we will have two sides that are 4cm for our rectangle.
We can label the other sides as x.
They are both x since opposite sides of a rectangle are equal in length.
We can make an equation with our perimeter:
[tex]2(4) + 2(x) = 18\\8 + 2x = 18\\2x = 10\\x = 5[/tex]
Now that we know the length & height, we can calculate the area:
4 × 5 = 20 cm²
462,453,444 find 30th term
Answer:
a₃₀ = 201
Step-by-step explanation:
there is a common difference between consecutive terms , that is
453 - 462 = 444 - 453 = - 9
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 462 and d = - 9 , then
a₃₀ = 462 + (29 × - 9 ) = 462 - 261 = 201
Use the information in the two-way table to complete the statement. the probability that a person has a positive rh factor given that he/she has type o blood is percent. there is a greater probability for a person to have a than a person to have a positive rh factor given type o blood.
The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The missing two-way table for this problem is given below:
[tex]\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}[/tex]
Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).
We want the probability that a person has a positive rh factor given that he/she has type O blood.
If we take:
E = event that a random person chosen has a positive rh factor
and F = event that a random person chosen has type O blood
Then, the needed probability is written symbolically as:
P(E|F).
Using the considered two-way table and the chain rule, we get this probability as:
[tex]P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}[/tex]
Since the two way table consists relative frequency with total count, so, we get:
[tex]n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45[/tex]
[tex]P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%[/tex]
Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
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Answer:
The answers will be
The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.
Step-by-step explanation:
Hope this help!
HELP I TOTALLY FORGOT HOW TO DO THISS
Answer:
13
Step-by-step explanation:
First you would create a ratio.
Convert 3 1/4 gallons in a decimal -> 3.25 gallons
If 1 gallon = 4 quarts, then
[tex]\frac{3.25}{1} =\frac{x}{4}[/tex]
Now, solve for x via cross multiplying
[tex]x=13[/tex]
and sidenote ripp iready i feel your pain
The volume of a number cube is 27 cm^3. What is the length of each side of a cube?
Lets see
Volume of a cube=side³ATQ
side³=27side=³√27side=3cmAnswer:
a = 3 cm
Step-by-step explanation:
The length of each side of a cube is 3 cm.
(Refer to the attachment)
The perimeter of a triangle is 42 yards. The first side is 5 yards
shorter than the second side, and the third side is 2 yards shorter
than the first side. What is the length of each side?
RSM QUESTION PLS SHOW WORK THANKS
Answer:The length of the third side is a-2.
Step-by-step explanation:
Help!
Square pyramids A and B are similar. In pyramid A, each base edge is 20 cm. In pyramid B, each base edge is 5 cm and the volume is 25 cm.
a. Find the volume of pyramid A.
b. Find the ratio of the surface area of A to the surface area of B.
c. Find the surface area of each pyramid.
Answer:
Below in bold.
Step-by-step explanation:
a) The volumes will be in the ratio of the cubes of the edges.
So volume of A / volume B = 20^3 / 5^3
Volume A / 25 = 8000/125
Volume a = (25* 8000) / 125
= 8000/ 5
= 1600 cm^3.
b) ratio of the surface area of A to surface area of B
= 20^2 : 5^2
= 400:25
= 16:1.
c. The volume of pyramid B is 25 cm*3 so it' height is 25 / area of its base = 25/5^2
= 1 cm.
Now its slant height = √(1^2 + (2.5)^2)
= √7.25
= 2.6926 cm
So surface area = 25 + 4 * 1/2 * 5 * 2.6926
= 51.926
= 51.93 cm^2 to nearest hundredth.
and the surface area of pyramid B = 51.926 * 16
= 830.82 cm^2 to nearest hundredth.
Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? Explain how you know.
A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and top side length of y centimeters.
Not drawn to scale
The ____-centimeter side corresponds to the y-centimeter side.
10 cm because both are the shorter sides of the parallelogram
10 cm because both are the longer sides of the parallelogram
15 cm because both are the shorter sides of the parallelogram
15 cm because both are the longer sides of the parallelogram
Answer:
A
Step-by-step explanation:
Because A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and the top side length of y centimeters.
Distributive Property to find (z-5)(z+3)
Answer:
z×(-5+3)then you complete the sum and that is your answer
Step-by-step explanation:
hope it helps you
6
x
y
2
(
13
x
5
y
2
)
6xy
2
(13x
5
y
2
)
Answer:
(2 x 3 x [tex]13x^6[/tex][tex]Y^{4[/tex])
Step-by-step explanation:
a packaging designer wants to find how much fabric is needed to cover the jewelry box shown the box is 12cm shown 4 cm wide and 5m high find the surface area of the box
Step-by-step explanation:
I guess you mean it is
12 cm long, 4cm wide and 5 cm high.
and the fabric goes outside on the box ? strange, but ok.
a box (like a die) has 6 sides in the form of 3 pairs of equal rectangles :
top-bottom, left-right, front-back
the surface area is the sum of all 6 rectangles.
top-bottom :
2 × 12×4 = 2 × 48 = 96 cm²
left-right :
2 × 4×5 = 2 × 20 = 40 cm²
front-back :
2 × 12×5 = 2 × 60 = 120 cm²
in total
120 + 40 + 96 = 256 cm²
If a circle has a circumference of 94.2cm, determine the area
RSM find all 2-digit natural numbers that have exactly 3 factors
Answer:
25 and 49
Step-by-step explanation:
25 = 1, 5, 25
49 = 1, 7, 49
Hope this helps!
lf Jackie earns $312.00 after working 24 hours what is the hourly rate?
Answer:
312 divided by 24 = 13.
So the hourly rate is 13/hour
Answer:
$13.00. To find the hourly rate you need to divide the total amount Jackie earned by the amount of hours she worked in total. When you divide 312 by 24 you will get 13, therefore Jackie makes a total of $13.00 per hour.
please help me!!!!!!!
The distance between you and train 1 at time t is
20.6 km + (0.2 km/h) t
and the distance between you and train 2 at time t is
59.7 km - (2.1 km/h) t
The trains are an equal distance away from you when
20.6 km + (0.2 km/h) t = 59.7 km - (2.1 km/h) t
Solve for t :
(2.3 km/h) t = 39.1 km
t = 17 h
at which point they are
20.6 km + (0.2 km/h) (17 h) = 24 km
away from you.
the following are ages in years of members in a group: 8,11,8,19,6,7,3x,11,11. If the mean age is 9, find x
HELP PLEASE I WILL GIVE 10 POINTS
Sheree purchased a digital camera for $367.99. She received a manufacturer’s $45 mail-in rebate and a $25 rebate from Jack’s Camera Store. What is the final price?
Answer:
297.99
Step-by-step explanation:
367.99-45-25=297.99
A large food distributor claims that 45% of all individuals who purchase eggs from its grocery stores choose standard white eggs, 25% choose standard brown eggs, 20% choose organic eggs, and 10% choose free-range eggs. To investigate this claim, researchers collected data from a random sample of the distributor's customers in a large city. The results were 274 white, 159 brown, 126 organic, and 41 free-range egg purchases. Are the data from the sample consistent with the distributor's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure to include parameters, check conditions, and show calculations before formulating a conclusion.
The statistical test at the 5% significance level shows that we fail to reject the null hypothesis.
How to compute the statistical test?From the information given, the level of significance is 0.05 and n is 600. The degree of freedom will be:
= 4 - 1 = 3
The test statistic will be:
= ∑(O - E)²/E
= 6.92
The critical value is also given as 7.815 from the table. Since the test statistic is lesser than the critical value, we fail to reject the null hypothesis.
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Which of the following pairs of numbers are additive inverses of each other? (A) -0.5 and -0.5 (B)-0.5 and 2 (C) 0.5 and -0.5 (D) 0.5 and 2
Answer: A) -0.5 and -0.5
Step-by-step explanation:
What is Limit of StartFraction StartRoot x + 4 EndRoot minus 3 Over x minus 5 EndFraction as x approaches 5?
Negative one-sixth
0
One-sixth
DNE
I assume the limit you're asked to copmute is supposed to be
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5}[/tex]
Rationalize the numerator by multiplying it by its conjugate:
[tex]\dfrac{\sqrt{x+4}-3}{x-5} \times \dfrac{\sqrt{x+4}+3}{\sqrt{x+4}+3} = \dfrac{\left(\sqrt{x+4}\right)^2-3^2}{(x-5) \left(\sqrt{x+4}+3\right)} = \dfrac{x-5}{(x-5) \left(\sqrt{x+4}+3\right)}[/tex]
Since x is approaching 5, we have x ≠ 5 and can cancel the factors of x - 5 to remove the discontinuity.
Then
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5} = \lim_{x\to5} \frac1{\sqrt{x+4}+3} = \frac1{\sqrt9+3} = \boxed{\frac16}[/tex]
because the simplified limand is continuous at x = 5.
Answer:
it is C. 1/6th
Step-by-step explanation: