Answer:
Sin Z=30/50 or 3/5
Step-by-step explanation:
To figure out Sin Z, you need the formula which is Sin=o/h
O=opposite
H=Hypotenuse
To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.
O=30
H=50
Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!
restaurants frequently add an 18% tip on the pre tax when the party is 8 or more people. the tax is calculated based on the bill before tip is included. last night, 12 friends went out to dinner and decided to split the bill evenly. if the bill without tax or tip was $105.89 and tax was 5%. how much did each person owe
The money each person owed is $10.853725 if the cost of the meal without tax or tip is $105.89.
What is meant by Percentage?Percentage is defined as the parts of a number per fraction of 100. It is denoted by the symbol '%'.
We can calculate percentage of a number by dividing a number with it's whole and then multiply with 100.
Given,
Cost of the meal before tax or tip = $105.89
Amount of tip = 18% of $105.89
= 18% × 105.89
= 0.18 × 105.89
= $19.0602
Amount of tax = 5% of $105.89
= 5% × 105.89
= 0.05 × 105.89
= $5.2945
Total cost for the meal = $105.89 + $19.0602 + $5.2945
= $130.2447
Total number of friends = 12
Money owed by each friend = $130.2447 / 12
= $10.853725
Hence the money owed by each is $10.853725.
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I NEED THE ANSWER AS SOON AS POSSIBLE PLEASE!!
Answer:
\(\Large \boxed{\sf \ \ 4\sqrt{a^2+b^2} \ \ }\)
Step-by-step explanation:
Hello,
You can use Pythagoras in the 4 right triangles.
For one triangle it comes \(\sqrt{a^2+b^2}\).
Then for the polygon it gives \(4\cdot \sqrt{a^2+b^2}\).
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Graph the line that passes through the points (-9, 7) and (-6,2) and determine
the equation of the line.
Answer:-45
Step-by-step explanation:
2x+3y=9. SOLVE FOR X
Answer:
Step-by-step explanation:
Let's solve for x.
2x+3y=9
Step 1: Add -3y to both sides.
2x+3y+−3y=9+−3y
2x=−3y+9
Step 2: Divide both sides by 2.
2x/ 2 = −3y+9/ 2
x= −3/ 2 y+ 9/ 2
Answer:
x= −3/ 2 y+ 9/ 2
pliz resolver me thank you so much! :)
Answer:
b= 1.236
Step-by-step explanation:
your 2 points are (0,-12.137) and (3, -18.476)
k = -5 read from the graph (the horizontal asymptote)
f(x) = ab^x + k
first find a:
-12.137 = ab° - 5
a(1) = -12.137 + 5 = -7.137
now solve for b:
-18.476 = (-7.137)b³ - 5
b³ = (-18.476+5)/(-7.137) = 1.888
b = ∛1.888 = 1.236
this was a tough one...hope I gave you the right answer!
How many groups of 3/8 are in 1?
Answer:
2 groups of 3/8 are in one
Step-by-step explanation:
making up 6/8 because you can add another 3/8 to it.
Question 16
Given AEFHAGFH below, what is the measure of GFH?
F
21.6°
E<
(6x - 12)° H
G
1 pts
The most appropriate choice for congruency of triangles will be given by-
\(\angle GFH =68.4^{\circ}\\\)
What is congruency of triangles?
Two triangles are said to be congruent if all the corrosponding sides and the corrosponding angles of the triangle are equal.
There are five axioms of congruency. They are -
SSS axioms, SAS axioms, ASA axiom, AAS axiom, RHS axiom.
Here,
\(\Delta EFH \cong \Delta GFH\) [Given]
\(\angle E = \angle G = 21.6^{\circ}\) [Corrosponding parts of congruent triangles are congruent]
\(\angle GFH\) = 180 - (90 + 21.6) [Sum of the three angles of a triangle is 180°]
\(\angle GFH = 180 - 111.6\\\angle GFH =68.4^{\circ}\\\)
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Tracy leaves the beach at 3:00 p.m. and drives along the highway at 55 mph. One hour later, Quinn leaves the same beach and drives along the same highway in the same direction at 65 mph. How many hours will it take Quinn to catch up to Tracy?
10 hours
6.5 hours
8.5 hours
15 hours
Answer:
8.5 hours
Step-by-step explanation:
55 x 9.5 (add extra hour) = 552.5 miles
65 x 8.5 (actual time spent) = 552.5 miles
The time taken for Quinn to catch up to Tracy during the journey is 8.5 hours.
Time of motion of Tracy and QuinnThe time of motion of tracy and quinn is determined by using the following equation as shown below;
For tracy, d = 55(t + 1)
For Quinn, d = 65t
where;
55(t + 1) = 65t
55t + 55 = 65t
55 = 10t
t = 55/10
t = 5.5 hours
3 hour from noon + 5.5 hours = 8.5 hours
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Consider this quadratic expression.
x² – 10x + c + 11 – c
What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100
Answer:
c = 25Step-by-step explanation:
Given this quadratic expression.
x² – 10x + c = 0
We are to find the value c that will make the expression a perfect square'
Using the completing the square method
Add the square of the half of coefficient of x
Coefficient of x = -10
Half of -10 = 1/2(-10) = -5
Square of -5 = (-5)^2 = 25
Hence the value of c to complete the expression is 25
I would appreciate some help with this , NO LINKS also plz no guessing ,thanks
Step-by-step explanation:
Roots : x = -1 and x = 4
g(x) = ( x+1)(x-4)Roots x = -1 & x = -4
k(x) = (x+1)(x+4)h(x) = (-3-3x) (3x+12)Neither
m(x) = (3-3x)(3x-12) f(x) = (x-1)(x-4)f(x) = (-1-x)(2x-8)The bus left the school and arrived at the museum at
9:10:40 a.m. The bus traveled for 55 minutes 10 seconds.
At what time did the bus leave the school?
Answer:
8:15:30
Step-by-step explanation:
8:15:30 a.m hope I helped ;)
I NEED HELP GIVING POINTS AND BRAINLIEST.
In rectangle PQRS, the ratio of PSQ to PQS is 1:5. What is the size of QSR?
A: 15°
B: 18°
C: 45°
D: 72°
E: 75°
Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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In ΔVWX, x = 6.4 inches, w = 8.8 inches and ∠W=85°. Find all possible values of ∠X, to the nearest 10th of a degree.
15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?
A) 2
B) -2
C) 8
D) -8
E) 1
The rate of decrease of the weather in degrees per hour is 2 degrees.
EquationsThe time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.
The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.
Therefore, the rate of decrease of the weather in degrees per hour is:
-8 degrees / 4 hours = -2 degrees per hour
What is rate of change of temperature?A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.
Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.
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Does every number have a decimal expansion?
yes or no
Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.
Answer:
The sum of their ages is 29, which we can express as the equation:
P + (P - 11) = 29
Simplifying the equation:
2P - 11 = 29
Adding 11 to both sides:
2P = 40
Dividing both sides by 2:
P = 20
Therefore, Pete's age, represented by "P," is 20 years old.
In the line plot above, how many of the students made six free throws?
Ο Α. 6
OB. 17
O C. 5
D. 7
I would say that it would be 7
For what values is the function g(x) = \(\frac{6}{x(x-7)}\) undefined?
At x = 0 and x = 7, the function g(x) is undefined.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
Now, We know that;
The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0
Here, The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
So, Function g (x) is not defined when,
x (x - 7) = 0
⇒ x = 0
or, x - 7 = 0
⇒ x = 7
Thus, At x = 0 and x = 7, the function g(x) is undefined.
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Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students. Part A Write an expression for how many pencils she has left after giving them out to her students. A. 100 − 2 × ( 22 − 19 ) 100 - 2 × ( 22 - 19 ) B. 100 − 2 × 22 − 19 100 - 2 × 22 - 19 C. 100 − 2 × 22 − 2 × 19 100 - 2 × 22 - 2 × 19 D. 100 − 22 − 19 100 - 22 - 19 Part B Does she have enough pencils to give each of her students 2? Choose... , she has Choose... Choose... than she needs.
The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ms. Florinda is a kindergarten educator. She purchases 100 pencils and needs to give 2 pencils to every one of her understudies. She has 2 classes, a class with 22 understudies and a class with 19 understudies.
Then the expression is given as,
⇒ 100 - 2 × (22 + 19)
⇒ 100 - 2 × 22 - 2 × 19
⇒ 100 - 44 - 38
⇒ 18
The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.
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(Score for Question 3:___ of 4 points)
3. Answer the questions by drawing on the coordinate plane below.
(a) Draw the image of APQR after a rotation of 180° about the origin. Label the image AP'Q'R'.
(b) Draw the image of APQR after a reflection across the x-axis. Label the image AP"Q"R".
Answer:
(a) A 180° rotation about the origin would involve rotating the shape by 180° clockwise around the point (0,0).
(b) A reflection across the x-axis would involve reflecting the shape over the x-axis.
What is coordinate plane?
Each point is identified by an ordered pair of numbers: an x-coordinate on the x-axis and a y-coordinate on the y-axis. The starting point is at (0,0).
(a) A 180° rotation about the origin would involve rotating the shape by 180° clockwise around the point (0,0). This would result in the image of APQR being upside down, with A' being located at the point (0,-2), P' being located at the point (-1,-1), Q' being located at the point (1,-1), and R' being located at the point (0,-2)
(b) A reflection across the x-axis would involve reflecting the shape over the x-axis. This would result in the image of APQR being a mirror image of the original shape, with A" being located at the point (0,2), P" being located at the point (-1,1), Q" being located at the point (1,1), and R" being located at the point (0,2)
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I need help with geometry! I need to find x and y, please help asp
Check the picture below.
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
To plan for retirement, Deandre deposits $97 each month in an annuity that pays 7.7 % interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 26 years.
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formalas.
The total value of the annuity in 26 years is 179163.85 dollars.
Given that, Deandre deposits $97 each month in an annuity that pays 7.7 % interest, compounded quarterly.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).
Here, 26 years = 26×4
= 104
Now, A=97(1+7.5/100)¹⁰⁴
A=97(1+0.075)¹⁰⁴
A=97(1.075)¹⁰⁴
A=97×1847.05
A=$179163.85
Therefore, the total value of the annuity in 26 years is 179163.85 dollars.
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-
Which equation has the same solution as x2 - 6x - 12 = 0?
A (x + 3)2 = 21
B (x - 3)2 = 21
(x + 3)2 = 3
Dx-3) = 3
Answer:
\((x-3)^2 =21\)
Step-by-step explanation:
\(~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21\)
What is the slant height of the cone?
The slant height of the cone is 12.6 units
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
h= 12
diameter = d = 8
so, radius, r = d/2 = 8/2 = 4
Formula for slant height , l is:
l = √(h² + r²) = √(12² + 4² )
= √(144 + 16) = √160 = 12.649 ≈ 12.6 units
The slant height of the cone is 12.6 units
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What is
-x+3>2x+1
Help please!
x<2/3
Is the answer of x
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 2
Interval Notation:
(−∞, 2)
Step-by-step explanation:
A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:
Answer:
(a) Yes, E and F are independent events.
(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4
Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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