Answers
[tex]\text{We know that,}\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\text{For}~ \angle1,\\\\~~~~~~\cos \angle 1 = \dfrac bc\\\\\\\implies \cos \angle 1 = \dfrac 35\\\\\\\implies \angle 1 = \cos^{-1} \left( \dfrac 35 \right)\\\\\\\implies \angle 1 = 53.13^{\circ}\\\\\\\text{For} ~ \angle 2,\\\\~~~~~~~\cos \angle 2 = \dfrac ac\\\\\\[/tex]
[tex]\implies \cos \angle 2 = \dfrac 45\\\\\\\implies \angle 2 =\cos^{-1} \left( \dfrac 45 \right)\\ \\\\\implies \angle 2 = 36.86^{\circ}[/tex]
[tex]\text{Hence,}~~ m\angle 1 = 53.13^{\circ}~~ \text{and}~~ m\angle 2 =36.86^{\circ}.[/tex]
Related Questions
Two siblings, Miko and Cheko, receive some pocket money every month. This month, the ratio of Miko's pocket money to Cheko's pocket money is 8:12. Cheko's pocket money is $660. How much must Cheko give to Miko such that each of them have an equal amount of pocket money?
Answers
Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of Miko's pocket money to Cheko's pocket money.
= 8:12
= 2:3
Now,
Let's represent Miko's pocket money as 2x and Cheko's pocket money as 3x.
We know that,
3x = $660
x = $220
Miko's pocket money.
= 2x
= 2($220)
= $440.
To make their pocket money equal,
Cheko needs to give half of the difference between their pocket money to Miko.
The difference between their pocket money.
= $220 (i.e., $660 - $440).
Half of that is $110.
Therefore,
Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.
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What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?
Answers
Answer:
Slope = -4
Step-by-step explanation:
Given:
Point 1: (6,-10)Point 2: (8,-18)Rate of change (Slope) formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]
Where:
y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).
[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]
Finally, let's simplify the fraction on the right hand side as needed.
[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]
Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.
is y=-x+2 a linear equation
Answers
Answer:
yes it is
Step-by-step explanation:
it is linear because the number can fall on both the x and y axis
Answer:
y = -x + 2 is a Linear Equation.
Step-by-step explanation:
The equation is in slope-intercept form of a linear function.
Slope-intercept form: y = mx + b ---> y = y, -x = mx, b = 2
please help asap i need this for my essay (35 points)
ʏᴏᴜ’ᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ɪɴ ᴘʀᴇᴠɪᴏᴜꜱ ʟᴇꜱꜱᴏɴꜱ,
ʙᴜᴛ ᴄᴏᴜʟᴅ ʏᴏᴜ ᴜꜱᴇ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ᴛᴏ ᴀᴅᴅ ᴛᴡᴏ ꜰᴜɴᴄᴛɪᴏɴꜱ?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ʏᴏᴜ ᴄᴏᴜʟᴅ ꜱɪᴍᴘʟɪꜰʏ ꜰ(x) + ɢ(x) ɪꜰ ꜰ(x) = 3x + 2 ᴀɴᴅ ɢ(x) = 4x?
ᴡʜᴀᴛ ᴀʙᴏᴜᴛ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ᴏꜰ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ꜱᴜᴄʜ ᴀꜱ ꜰ(ɢ(x))?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ꜰ(ɢ(x)) ᴄᴏᴜʟᴅ ʙᴇ ꜱɪᴍᴘʟɪꜰɪᴇᴅ?
ᴡʜᴀᴛ ꜱɪᴛᴜᴀᴛɪᴏɴꜱ ᴄᴀɴ ʏᴏᴜ ᴛʜɪɴᴋ ᴏꜰ ᴡʜᴇʀᴇ ᴄᴏᴍʙɪɴɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ ᴡᴏᴜʟᴅ ʙᴇ ᴜꜱᴇꜰᴜʟ?
different font because brainly is censoring it for no reason?
Answers
Answer:
I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.
Step-by-step explanation:
Which equation is represented by the graph below?
i’ll make brainlyesttttt
Answers
Answer:
y=e^x - 4
Step-by-step explanation:
The log functions decrease with increasing x. The line shown increases as x increases, so it must be one of the two e^x equations. We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.
The graph shows the line crossing the y axis at -3 (0,-3)
It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).
When x=0, e^0 = 1.
Look at the point (0,-3):
We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4: The form e^x - 4 would yield a value for y, when x is 0, of y = 1 - 4 or -3.
Check the other point (1.4,0):
y = e^1.4 is equal to 4.00
y = 4.00 - 4
y = 0
This point is also correct (1.4,0)
The correct equation is y=e^x - 4
If the area of a circle is 74.2 ft squared, what would the circumference of the circle be?
Answers
Answer:
[tex]C=30.536\ ft[/tex]
Step-by-step explanation:
Step 1: Determine the radius
[tex]A = \pi *r^2[/tex]
[tex]74.2\ ft^2=\pi *r^2[/tex]
[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]
[tex]23.619\ ft^2=r^2[/tex]
[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]
[tex]4.8599\ ft=r[/tex]
Step 2: Determine the circumference
[tex]C=2*\pi *r[/tex]
[tex]C=2*\pi *4.8599\ ft[/tex]
[tex]C=30.536\ ft[/tex]
Answer: [tex]C=30.536\ ft[/tex]
Use whole numbers and decimals to write 19.06 in expanded form.
Answers
Answer:
90.125
Step-by-step explanation:
Answer:
Step-by-step explanation:
19.125
Over time, Bailey has buried 4 large bones and 6 small bones in a hole. What is the ratio of small bones to large bones in the hole?
Answers
Answer: the ratio is 6:4
Step-by-step explanation:
the amount of large bones is 4 so:4 and the number of small bones is 6 so 6:
so the answer is 6:4
Answer:
3:2
Step-by-step explanation:
4/2=2
6/2=3
find the common factor which is 2, divide both by 2
please mark me brainest
A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.
Answers
Answer:
what exactly are you looking for?
Step-by-step explanation:
4. Triangle D is the image of Triangle A~You can show that Triangle An Triangle D using a sequence of transformations. Which of these statements about Triangle A and Triangle D is true?
A. triangle D is to the left and down from triangle A.
B. triangle D is dilated from triangle A.
C. triangle A and triangle D have interior angle measures that sum to less than 180°
D. triangle A and triangle D are congruent.
Answers
Answer:
C or A po Yan sagut ko sa dalawa pumili Lang ako10Which best describes a system of equations that has infinite solutions?
Answers
Answer:
FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A
Step-by-step explanation:
a brick has a mass od 1,200 grams. what is the mass of the brick in kilograms?
Answers
Answer:
1.2 kilograms
Step-by-step explanation:
1 kilogram is equal to 1000 grams
Therefore we can divide the weight by 1000 in order to find the amount of kilograms
1200/1000 = 1.2
Answer:
1.2
Step-by-step explanation:
1 gram is 0.001 kilograms
or 1000 kilograms to a gram
so 1200 grams is 1.2 kilograms
what is -2(-y) in expanded form
Answers
Answer:
2y
Step-by-step explanation:
[tex](-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y[/tex]
9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work
Answers
Step-by-step explanation:
A) a = students tickets
3a = adult tickets
3a+8 = senior tickets
B) a + 3a + 3a + 8 = Tt
C) 15 + 3(15) + 3(15) + 8 = 113
Therefore, she sells at least 100 total tickets
Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel
Answers
Because 830 times .012048192771084 equals 840 which is 70 times 12
Find the total surface area of this square based
pyramid.
10t
10 ft
Answers
Answer:
300 is the answer
Step-by-step explanation:
area of triangle-BxH/2
area of square- LxW
10x10=100/2=50
50x4=200
+100
=300
What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75
Answers
Answer:
Median = 58.5
Q1 = 55
Q3 = 65
Interquartile = 10
Step-by-step explanation:
first let’s correct the data set :
It’s 38 46 55 56 58 59 61 65 67 75 not 38 46 55 56 558 59 61 65 67 75
Data set : 38 46 55 56 58 59 61 65 67 75
Median:
After we put Our data set from Smallest to largest
we define the median as the middle number of the data set but our set consists of an even number which is 10
In this case the median is the average of the two middle numbers which are the 5th and 6th numbers
38 46 55 56 [58 59] 61 65 67 75
Then
Median = (58+59)/2 = 117/2 = 58.5
quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58
Then Q1 = 55 because it’s the middle number.
quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75
Then Q3 = 65 (Easy to spot)
Interquartile = Q3 - Q1 = 65 - 55 = 10
The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Answers
Answer:
b = 10 ft , h = 6 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
let base = b theh height h = b - 4
given A = 30 , then
[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )
b(b - 4) = 60 ← distribute parenthesis on left side by b
b² - 4b = 60 ( subtract 60 from both sides )
b² - 4b - 60 = 0
(b - 10)(b + 6) = 0
equate each factor to zero and solve for b
b - 10 = 0 ⇒ b = 10
b + 6 = 0 ⇒ b = - 6
however, b > 0 , then b = 10
and h = b - 4 = 10 - 4 = 6
then base is 10 ft and height is 6 ft
Answer number 16 please
Answers
Jim's cards increased more
help please?? find the area of the rhombus.
Answers
The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.
Area of a rhombusThe area of a rhombus can be represented mathematically as follows:
area of a rhombus = ab / 2
where
a and b are the length of the diagonala = 6 + 6 = 12 cm
Therefore, let's find b
tan 45 = opposite / adjacent
tan 45 = 6 / x
x = 6 / tan 45
x = 6 / 1
x = 6
b = 6 + 6 = 12 cm
Therefore,
area = 12 × 12 / 2
area = 144 / 2
area = 72 cm²
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Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. The consumer paid the $475. 00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price
Answers
Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
Car's sticker price and dealer's pricea. Car's sticker price:
Using this formula
Car's sticker price=Base price+Options cost+Destination charge
Let plug in the formula
Car's sticker price=$16,558. 16 + $611. 60+$475. 00
Car's sticker price=$17,644.76
b. Dealer price:
Dealer's price=Percent of base price+Percent of options cost+Destination charge
Let plug in the formula
Dealer price=16,558. 16+$611. 60+$475.00
Dealer price=$16,246.7152
Dealer price=$16,246.72 (Approximately)
Inconclusion the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
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Brainliest to answer correct Nell wrote the expression x + 0.12x = 1.12x to show that “increase by 12%” is the same as “multiply by 1.12”. Write a similar expression for “decrease by 26%”. What does it show?
Answers
Answer
To solve the equation, factor x
2
−7x+12 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−7
ab=12
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.
−1,−12
−2,−6
−3,−4
Calculate the sum for each pair.
−1−12=−13
−2−6=−8
−3−4=−7
The solution is the pair that gives sum −7.
a=−4
b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−4)(x−3)
To find equation solutions, solve x−4=0 and x−3=0.
x=4
x=3
Step-by-step explanation:
Determine the arc length of 24pi find the radius
Answers
Length (24,pi)
Result: 2
What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)
Answers
Answer: Parallelogram
Step-by-step explanation: Roughly sketched.
a high school club is researching a tour package offered by the island kayak company. the company charges $35 per person and $245 for the tour guide. which function represents the total cost, c(x), of this kayak tour package for x club members? A. C(x) = 35x B. C(x) = 35x+245 C. C(x) = 35(x+245) D. C(x) = 35 + (x+245)
Answers
The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
How to calculate the total cost on a package?According to the given question, we have the following parameters
Amount charged on tour guide = $245
Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x
Determine the total costTotal cost = Amount charged on tour guide + cost of "x" members
Total cost = 245 + 35x
Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
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Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by? y y2 – 1 y 1 y2 y 2
Answers
An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us
[tex]y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}[/tex]
As we can see in the equation that there are 2 denominators, which are,
y²-1y+1In the two of the expressions that are stated above the expression (y²-1) is of a higher power.
Hence, Janes should multiply both sides of the equation by (y²-1).
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Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?
Answers
[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]
[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]
10:45 am to 11:00 am : 15 minutes
11:00 am to 12:00 pm= 1 hour
Total Time= 1 hour 15 minutes.
so he was 1 hour 15 minutes at the park.
went at 10:45 AM
left at 12:PM
to find:the duration he was at the park.
solution:( to find the duration just find the difference of the time he left and went.
= 1 hour 15 mins.
therefore, he was at the park for 1 hour 15 mins.
Which of the following conclusions is not supported by this diagram?
There are currently several million people living in the country.
Slightly more boys than girls were born during the past five years.
O The population growth has been steadily increasing for the past 25 years.
O The country experienced a population "boom" between 30 and 35 years ago.
Answers
Answer:
The answer should be A
Step-by-step explanation:
Hope this helps.Tell me if its wrong.
The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.
The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.
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what is the area of base for 7mm height and 7mm radius cylinder?
Answers
Answer:
153.94 mm^2
Step-by-step explanation:
area of base = area of a circle = Pi * radius squared
radius squared = 49
area of base = Pi * 49
area of base = 153.94
Which expression has the greatest value? A-2 - 4, +16 4+1 B-2-(-4) +16 C -2 +4 +(-16) D 2-4-(-16)
Answers
option B
hope it helps...!!!