In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.
The value of side z will be equal to 99.32 cm.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°
So by applying the formula given below:-
z² = x² + y² - 2xyCos(142)
z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )
z = 99.32 cm
Hence the value of side z will be equal to 99.32 cm.
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On March 26, Samuel Griffin deposited $20,000 in a savings account that pays 5 5% interest compounded daily until July 24.
5 days in march.
31 days in May
30 days in June
24 days through July
rate of 5% each day.
so about 90 days of interest daily.
So 5% of 20,000
5 percent *20000
= (5/100)*20000
= (5*20000)/100
= 100000/100 = 1000
So 1,000 a day
1,000 * 90
= 90,000
Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No
Answer:
no. a function doesnt contain an = sign
Step-by-step explanation:
Answer:
Yes, it is a function.
Explanation:
xy + 6y = 9
y(x + 6) = 9
y = 9/(x + 6)
It is a inverse variation function.
Where equation: xy = k ["k" is constant]
Each value of x corresponds to a single value of y.If kinaata goes for swimming lessons every 5 days while Wayo goes every 6 days. if both kinaata and Wayo had swimming lessons together at the pool today, after how many days will both meet again at the pool for lessons?
Step-by-step explanation:
we need the least or smallest common multiple for both numbers, 5 and 6.
this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :
6 has the prime factors 2 and 3.
5 has only 5.
so, the LCM is 2×3×5 = 30.
they will meet again after 30 days.
FYI -
the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.
The ratio of boys to girls is 3:2. f the class has 27 boys. How many pupils are in the class?
Answer:
the answer is 45
see the attachment photo!
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡im really not sure with my answer, please tell which is the correct choice.
Answer:
the orange one
Step-by-step explanation:
(10 + 10) : (5-3) =
20 : 2 =
10
What is the volume of the following solid figure?
Answer: 450
Step-by-step explanation:
The volume is (1/2)(5)(12)(15)=450.
-6>2x+6 ≤18
graph the inequality
Answer:
y= x + b
-6 > 2x+6- graph a doted line that crosses through -6, and 2 shade below the dotted line going to the negative
18 >< 2x+6 graph a solid line through 18 and 2 and shade everything above the line going positive
have a good day hope this helped
Step-by-step explanation:
The table shows the change in the price of a stock. At the end of the week, the price is $17.17.
The price of the stock after the change in price on Thursday is $16.76.
The price of the stock at the beginning of the week is $16.81.
What are the price changes?The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.
$17.17 = beginning price + 0.21 + 0.09 - 0.03 - 0.02 + 0.11
$17.17 = beginning price + 0.36
Beginning price = $17.17 - 0.36 = $16.81
Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 - 0.02 = $16.76
Here are the questions:
What was the price of the stock after the change in price on Thursday?
What was the price of the stock at the beginning of the week?
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question attached please help
Answer:
h(0.1) = 4.97
Step-by-step explanation:
See attached working :)
Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1
Ms. Lui earned an annual income of 775,000, what is the weekly salary?
Answer:
$14,903.85
Step-by-step explanation:
So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:
[tex]\frac{775000}{52} = 14,903.85[/tex]
Therefore, Ms. Lui earns $14,903.85 a week.
Hope this helps! If you have questions about my work, please leave them in the comments!
I want to learn more about mean.
What is the mean?
Numbers:
4.5, 1, 9.25, 2, 6, 9.
Evaluate log 8 base 5
The answer is 1.29029.
Given : [tex]log_{5}8[/tex]To evaluate the given equation.Solution:[tex]log_{5}8=log(8)/log(5)[/tex]
As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]
So equating is the above equation, we get;
[tex]log_{5}8=0.9030899/0.6989700[/tex]
[tex]log_{5}8=1.292029[/tex]
Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].
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hello fellow indians Question: Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
Answer: andres is 5 years old pls banned him he called e a mean word like the N word
Step-by-step explanation:
Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?
Answer this for me please?
The volume of the rectangular prism is exactly (3/8) of a cubic inch.
How to get the volume of the rectangular prism?
Remember that for a rectangular prism of height H, length L, and width W, the volume is:
V = H*L*W
In this case, we have:
H = 1 inL = (3/4) inW = (1/2) in.Then the volume of the rectangular prism is given by:
[tex]V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3[/tex]
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A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was 36,800. Assuming this trend continues, which of the following is a linear function that properly models the relationship between the town's population, P, and the years that have passed since 2008, t.
The linear function that models the relationship is P = 28,200 + 1950t.
What is the linear function that models the relationship?A linear function is a function that has a single variable raised to the power of 1. An example is x + 2
The first step is to determine the rate of increase in the population:
Rate of increase = (population in 2012 - population in 2008) / number of years
(36.000 - 28,200) / 4 = 1950
P = 28,200 + 1950t
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The volume of a water tank is 396 m^3. If it is 7.2 m long and 5.5 m wide. what is the depth of the tank ?
Answer :
Depth of the tank is of 10mStep-by-step explanation :
We have been provided with the volume of water tank , it's length and breadth. We are asked to calculate the depth of tank (height), so we all know that water tank is always is in the shape of cuboid.
We would be using the formula of calculating the volume of cuboid and substitute the values in it.
V = l × b × hHere,
l is length b is breadth h is heightWe have :
Volume (V) = 396m³length (l) = 7.2mbreadth (b) = 5.5m height (h) = ?Substituting the values :
>> 396 = 7.2 × 5.5 × h
>> 396 = (72 / 10) × (55 / 10) × h
>> 396 = 72 × 55 × h / 100
>> 396 = 3960 × h / 100
>> 396 × 100 = 3960 × h
>> 39600 = 3960h
>> h = 39600 / 3960
>> h = 3960 / 396
>> h = 10
__________________________
HELP!!! please this is my last question for my paper
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
Does anyone know how to do this I’m really confused
The size of the unknown angle "x"
Solution:The given polygon is a Pentagon so the sum of interior angle will be,
[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]
n means the number of sides
Let's substitute the values according to the formula.
[tex](5-2)×180[/tex]
[tex]=540°[/tex]
Now, we can find the sum of one interior angle.
[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]
n means the number of sides.
Let's substitute the values according to the formula.
[tex]x=\frac{540}{5}[/tex]
[tex]\large\boxed{x= 108°}[/tex]
Therefore, the size of the unknown angle "x" is 108°
whate is answer of 36-[100÷5{60-32(8÷4-1)}]
Answer:
[tex]67\frac{23}{28}[/tex]
Step-by-step explanation:
[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]
when a number x is added to it's square, the total is 12. find two possible values of x
Answer:
x=3 or x=−4Step-by-step explanation:
when a number x is added to it's square, the total is 12. find two possible values of x
x+x^2=12
x^2+x=12
x^2+x−12=12−12
x^2+x−12=0
(x−3)(x+4)=0
x−3=0 or x+4=0
x=3 or x=−4
x=3 or x=−4
Suppose a high school student is selected at random.Let event A = junior and event B = earbuds. Are events A and B independent
Answer:
yes
Step-by-step explanation:
independence means the object or so are completely unreliant of eachother or does not have order.
for example a dependent situation would be sports players getting picked because there is order.
Calculate the volume of each diagrams.
The volume of the solid objects are 612π in³ and 1566πcm³
Volume of solid objectThe given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
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What is the maximum probability of committing a Type I error that the researcher is willing to commit? a. Critical values b. p-value c. Level of Significance d. Confidence level
Answer: c. Level of Significance
This is the alpha value
alpha is a greek letter with the symbol [tex]\alpha[/tex]
A type 1 error is when the researcher rejects the null, but the null was true (meaning the researcher shouldn't have rejected the null).
A. 36
B. 52
C. 148
D. 168
Answer:
B) 52
Bodmas rule:
BracketsOrderDivisionMultiplicationAdditionSubtractionSolving Steps:
⇒ 2 × (3 - 1)⁴ + 5 × 4
⇒ 2 × (2)⁴ + 5 × 4
⇒ 2 × 16 + 5 × 4
⇒ 32 + 20
⇒ 52
Option B
Question 11 (1 point)
(03.06 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table
shows the value of the real estate after the first and second years:
Year
1
12
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
O a
f(t) = 101,234(1.03)
Ob
f(t) = 101,234(0.03)
f(t) = 104,271.02(1.03)
f(t) = 104,271.02(0.03)
OC
Od
Question 12 (1 point)
Answer:
f(t) = 101,234
Step-by-step explanation:
To best show a possible linear trend in a scatter plot, draw a _________________.
A. regressive line
B. line of best fit
C. vertical line
D. horizontal line\
Answer:
b. line of best fit
Find the value of x. Round to the nearest tenth. X A B 68° 13 x = [?] X Law of Sines; sin A 83° C
Step-by-step explanation:
hope you have a great day
The value of x will be;
⇒ x = 13.9
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
Since, We know that;
The sine rule is;
⇒ sin A / a = sin B / b = sin C / c
By given figure, we get;
⇒ sin 83° / x = sin 68° / 13
⇒ sin 83° × 13 / sin 68° = x
⇒ x = 0.99 × 13 / 0.92
⇒ x = 13.9
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