Answer:
78º
Step-by-step explanation:
Note : -
In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the
x - axis.
Step 1 : -
Find where 192º lies in which quadrant.
192º lies in 3rd quadrant ( between
180º and 270º )
Step 2 : -
Subtract : 270 - 192
270 - 192 = 78º
( Since, 192º is greater than 180º, is subtracted from 270º )
Answer : -
78º is the reference angle for 192º.
Tony made 52 decorations for the class party. He made 7 times as many ecorations as Jack did, but he lost 4. Which equation could be used to Find the number of decorations, x, Jack made?
⚫️4x + 7 = 52
⚫️7x + 4 = 52
⚫️4x - 7 = 52
⚫️7x - 4 = 52
state whether each is a property that shows congruence between two triangles using Yes or No.
_____ 2. SSS
_____ 5. SAS
_____ 3. SSA
_____ 6. ASA
_____ 4. AAS
_____ 7. AAA
Answer:
yes
yes
no
yes
yes
no
Step-by-step explanation:
Reggie put $400 in a savings account that earns 6% interest each year how much money will he have in his account after two years??
Answer:
Your answer is 4800
Step-by-step explanation:
I: PRT
400
.6
____
2400
0000
_____
2400
2
_____
4800
Have a wonderful day/night and good luck
stay safe, and stay healthy
Ty for brainliest!
Answer:
4800
Step-by-step explanation:
Tidal energy is powered by:
A. Earth's gravity.
B. the moon's gravity.
C. the thermocline of the ocean.
Tidal energy is powered by the moon's gravity
Can you guys help me please :(
The area of the first, second, third, and fourth circles will be 56.72 cm², 36.3 ft², 167.33 m², and 188.6 yd² respectively.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
Then the radius and diameter are given below.
[tex]\rm r_1 = 4 \dfrac{1}{4} = \dfrac{17}{4} = 4.25 \ cm\\\\\\r_2 = \dfrac{d}{2} = \dfrac{6\frac{4}{5}}{2} = \dfrac{34}{10} = 3.4 \ ft\\\\\\r_3 = \dfrac{d}{2} = \dfrac{14.6}{2} = 7.3 \ m\\\\\\r_4 = 7\dfrac{3}{4} = \dfrac{31}{4} = 7.75 \ yd[/tex]
Then the area of the circle is given as
Area = π × r²
Then the area of the first circle will be
Area = π × r₁²
Area = 3.14 × 4.25²
Area = 56.72 square cm
Then the area of the second circle will be
Area = π × r₂²
Area = 3.14 × 3.4²
Area = 36.3 square ft
Then the area of the third circle will be
Area = π × r₃²
Area = 3.14 × 7.3²
Area = 167.33 square m
Then the area of the fourth circle will be
Area = π × r₁²
Area = 3.14 × 7.75²
Area = 188.6 square yd
More about the circle link is given below.
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Translate the following statement into an appropriate algebraic statement: 10 times the sum of the number of adults and 2 times the number of children is 140.
Question 1 options:
10(a + 2c) = 140
10a + 2c + 140
10(a + 2c) + 140
10a + 2c = 140
Which has a greater volume, a quart or a liter? Explain.
Answer:
A quart is a little less then a liter
Step-by-step explanation:
An easy way to figure out liters to gallons, is that a quart is a little less than a liter and 4 liters is a little more than 1 gallon. To be exact, 1 liter is 0.264 gallon (a little more than a quart), and 4 liters is 1.06 gallons.
---
Hope this helps you!
Answer:
A quart is a little less than a liter and 4 liters is more than 1 gallon. To be exact, 1 liter is 0.264 gallons (a little more than a quart), and 4 liters is 1.06 gallons.
Step-by-step explanation:
Pls help asap! 30 points!
Answer:
I got -x/2+1/2. I'll get back to you in a lil bit.
Y = 1 - 2x
-1
y-1 = - 2x
÷ -2
y-1/-2 = x
f-1(x) = x - 1/-2
Let's make x = 7
7-1/-2 = - 3
Or
y = 1 - 2x
+2x
y + 2x = 1
-y
2x = 1-x
÷2
x. = 1-x/2
f-1(x) = 1 - x/2 is your answer
Let's make x=7
1-7/2 = - 3
Hope this helps!
The dot plots show rainfall totals for several spring storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
What is the range of rainfall for the lowland storms?
Answer:
Part A) Option c) 15.27 mm
Part B) Option b) 12.05 mm
Step-by-step explanation:
The mean is also sometimes called the average
To find the mean, you add up every number in the data set, and you divide that sum by the total number of data points within the set.
A) What is the mean rainfall for the highland storms?
The sum of the data of Highlands storms
= 2*2 + 3*4 + 2*6 + 3*8 + 4*10 + 3*12 + 4*14 + 5*16 + 5*18 + 4*20 + 2*22 + 24 + 2*26 + 2*28 + 30 + 32 = 672
the total number of data = 44
Mean = 672/44 = 15.27 mm
So, the answer is option c) 15.27 mm
B) What is the mean rainfall for the lowland storms?
The sum of the data of Lowland storms
= 3*2 + 5*4 + 3*6 + 3*8 + 5*10 + 7*12 + 6*14 + 4*16 +2*18 + 20 + 2*22 + 24 + 2*28 = 530
the total number of data = 44
Mean = 530/44 = 12.05 mm
So, the answer is option b) 12.05 mm
Answer:
30 and 26
Step-by-step explanation:
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Answer:
41
Step-by-step explanation:
Supplementary Angles add up to 180.
180 - 139 = 41
COS(60°) what is the answer
Answer:
1/2
Step-by-step explanation:
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are bad? Round your answer to the nearest number.
Answer:
25%
Step-by-step explanation:
6/24 of the apples went bad
we can still simplify 6/24
1/4
1/4 is equal to 25%
hope this helps
A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent of the batteries will last more than 420 hours?
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation are given, respectively, by:
[tex]\mu = 400, \sigma = 30[/tex].
The proportion of the batteries will last more than 420 hours is one subtracted by the p-value of Z when X = 420, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{420 - 400}{30}[/tex]
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
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On reversing the digits of a two digit number obtained is 9 less than three times the original number. If the difference of these two numbers is 45 find the original number
Answer:
original number: 27
reversed number: 72
Step-by-step explanation:
Let the tens place digit = a
Let the units place digit = b
⇒ Original two-digit number = 10a + b
⇒ Reversed two-digit number = 10b + a
If the reversed two-digit number is 9 less than 3 times the original number:
⇒ 10b + a = 3(10a + b) - 9
⇒ 10b + a = 30a + 3b - 9
⇒ 7b = 29a - 9
If the different of the two numbers is 45 (and the reversed number is larger than the original number):
⇒ (10b + a) - (10a + b) = 45
⇒ 10b + a - 10a - b = 45
⇒ 9b -9a= 45
⇒ 9(b - a)= 45
⇒ b - a= 5
⇒ b = 5 + a
Substitute b = 5 + a into 7b = 29a - 9 and solve for a:
⇒ 7(5 + a) = 29a - 9
⇒ 35 + 7a = 29a - 9
⇒ 44 = 22a
⇒ a = 2
Finally, substitute the found value of a into b = 5 + a and solve for b:
⇒ b = 5 + 2 = 7
Therefore,
original number: 27reversed number: 72PLEASE HELP FOR BRAINLIESTTTT!!!!
The graph below shows how much money was given to a charity over five months.
What was the least donation amount in a month?
Answer:
3800
Step-by-step explanation:
Half way between 3700 and 3900
Answer:
3800
Step-by-step explanation:
it's plotted on the line between 3700 and 3900 and 3800 would be in the middle
Two sailboats leave Key Largo, Florida. One of the sailboats travels 3 miles east and then 4 miles north. The second sailboat travels 8 miles south and 6 miles west. How far apart, in miles, are the boats? A. 14 miles B. 15 miles C. 17 miles D. 21 miles
Check the picture below.
write the ratio in simplest form 24:4
Answer:
6:1
Formula for this equation
Divide by 4
24 ÷ 4 = 6
4 ÷ 4 = 1
6. Find the perimeter of the figure below
11 in, 13 in, 4 in, 4 in, 7 in,
27 in.
21 in.
29 in
26 in
Answer:
26 in.
Step-by-step explanation:
» Concepts
The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.
» Solution
Adding up all the sides, we get:
[tex]11+7+4+4[/tex] [tex]18+4+4[/tex] [tex]22+4[/tex] [tex]26[/tex]26 inches
Write an equation to represent the following statement. 51 5151 divided by 3 33 is k kk.
The equation is a quotient statement, and the equation is 51/3 = k
How to determine the equation?The statement is given as:
51 divided by 3 is k
Represent the word "is" with "="
So, we have:
51 divided by 3 = k
Represent the word "divided" with "/"
So, we have:
51 / 3 = k
Hence, the equation is 51/3 = k
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compute the probability of rolling a 12 sided die and getting a number other than 8. please help
Which names the tiling?
4, 8, 4, 8
4, 4, 8
4,8,8
4,8,8,8,8
Answer:
it's 4,8,8
Step-by-step explanation:
hope it helps
Simplify y ^2 + 11y - 6y + y ^2.
y4 + 5 y
2 y 2 + 5 y
y4 + 5
2 y 2 + 5
Step-by-step explanation:
Question:[tex] {y}^{2} + 11y - 6y + {y}^{2} [/tex]
Organize the like terms...
[tex] = {y}^{2} + {y}^{2} + 11y - 6y[/tex]
[tex] = 2 {y}^{2} + 5y[/tex]
Answer:
2y^2 + 5y
Step-by-step explanation:
y^2 + 11y - 6y + y^2=
= (y^2 + y^2) + (11y - 6y)
= 2y^2 + 5y
what is this qouschin
Answer:
Below in bold.
Step-by-step explanation:
m < 3 = 59 degrees (alternate angles)
m < 2 = 180 - 59 = 121 degrees ( adjacent angles)
you won 1 million dollars in prize money, however they are not giving it to you all at once. so is your money trult the value of the prize
Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest
cent.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35[/tex]
$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest compounded semiannually is,
A = P[1 + (r/2)/100]²ⁿ.
Where, A = amount, P = principle, r = rate and n = time in years.
Given, $16,000 is deposited for five years at 5 % compounded semiannually.
A = 16000[1 + (5/2)/100]²ˣ⁵.
A = 16000[1 + 0.025]¹⁰.
A = 16000[1.025]¹⁰.
A = 16000×1.28.
A = 20481.
So, the interest earned is (20481 - 16000) = 4481 dollars.
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Phoebe divided her rectangular vegetable garden into three sections, as shown in the drawing below.
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities
solve the inequality 23 + d > 35.
Answer:
[tex]d > 12[/tex]
Step-by-step explanation:
[tex]23+d > 35[/tex]
[tex]d > 12[/tex] (subtract 23 on both sides)
The HHS Math Talent show is giving out cylinder trophies this year to its winners. The trophy is a cylinder with a
height of 18 cm and a radius of 6 cm. The density of gold is 19.32 g/cm and the density of silver is
10.5 g/cm?
How much heavier is the gold trophy compared to the silver to the nearest whole grom?
Need mas
Find volume
πr²hπ(6)²(18)36(18)π2034.7cm³Mass
Density×VolumeAs volume is same
Divide their densities to find ratio
Gold /Silver19.32/10.51.84 times heavier is gold. What is (f + g)(x)?
=
-
f(x) = x3 - 2x + 3
g(x) = 2x² + 4x - 4
-
Answer:
[tex]3x^3 + 2x - 1[/tex]
Step-by-step explanation:
[tex]x^3 - 2x + 3 + 2x^3 + 4x - 4[/tex]
Combine like terms:
[tex]3x^3 + 2x - 1[/tex]
Hope that helped