Answers
Explanation:
This is because cosine is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.
Related Questions
what are the coordinates of point V
Answers
Answer:
c is the and
no worries thank you to each of the Fourth of that mother you have any other questions please contact me
Hello can someone help me understand this explanation?
I don’t understand how they got 5x=5
Thank you!
Answers
Answer:
Starting from
2(-x) = 3x - 5
Distribute
-2x = 3x - 5
add 2x to both sides
0 = 5x - 5
Add 5 to both side
5 = 5x
Flip
5x = 5
The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.
6 Acirde shown below.bas center C What is the area of the shaded region?
Answers
Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.
Answers
Answer:
He should measure the length of the bowling alley using meters
Step-by-step explanation:
The score does Tyrone need in the fifth game so that his mean score is 125 is 168.
What is an arithmetic mean?
It is defined as the sum of all observations divided by the number of observations.
Given
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{5} =125[/tex]
⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]
⇒ [tex]{457+x} =625[/tex]
⇒ [tex]x =625-457[/tex]
⇒ [tex]x =168[/tex]
Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.
Learn more about mean here
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Help pls , will give brainliest!
Answers
=======================================
Work Shown:
1 liter = 1000 mL
3 liters = 3000 mL
I multiplied both sides by 3.
Divide that result over 500 to get 3000/500 = 6
So she'll need to buy 6 cartons.
-------
You could also solve like this:
(1 carton)/(500 mL) = (x cartons)/(3000 mL)
1/500 = x/3000
1*3000 = 500*x ... cross multiply
3000 = 500x
500x = 3000
x = 3000/500 .... dividing both sides by 500
x = 6
Divide (16m³-10m²+2m)÷2m
Answers
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]
[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅
Step-by-step explanation:
[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answers
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Triangle PQR has vertices P(-2, 6), Q(-8, 4) and R(1, -2). It is translated according to the rule (x, y)—> (x, - 2, y -16).
What is the y-value of P’?
a. -18
b. -16
c. -12
d. -10
Answers
===============================================
To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)
[tex](x,y) \to (x-2, y-16)\\\\(-2,6) \to (-2-2, 6-16)\\\\(-2,6) \to (-4, -10)\\\\[/tex]
We see that point P' has a y coordinate of -10
This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.
Answer:last one D ( -10)
Step-by-step explanation:
edg
Simplify this question please im really confused
Answers
Answer:
option A
Step-by-step explanation:
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]
So,
[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answers
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
Question 3 of 10
What are the domain and range of the function represented by the table?
х
-5
0
5
10
15
|
у
-1
0
1
2
3
O A. Domain: -5 sxs 15
Range:{-1,0, 1, 2, 3}
O B. Domain: {-5, 0, 5, 10, 15}
Range: -1 sys3
O C. Domain: {-1,0, 1, 2, 3}
Range:{-5, 0, 5, 10, 15}
D. Domain:{-5, 0, 5, 10, 15)
Range:{-1,0, 1, 2, 3}
Answers
Given:
The table of values of a function.
To find:
The domain and range of the given function.
Solution:
Domain: The set of input values of x-values is known as domain.
Range: The set of output values of y-values is known as domain.
From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,
[tex]Domain=\{-5,0,5,10,15\}[/tex]
[tex]Range=\{-1,0,1,2,3\}[/tex]
Therefore, the correct option is D.
The domain and range of the function represented by the table is as follows:
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}What are domain and range of a function?The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.
The domain are likewise called input . The domain are usually the x values
The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.
Therefore, the domain and range of the function represented by the table is as follows;
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}learn more on domain and range here; https://brainly.com/question/25173046
49×7³×100. -----------------. 10³×3³×7²
Answers
Please mark me brainliest
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?
Answers
Answer:
Step-by-step explanation:
Step 1
Find the fraction of the money he gave the charity
Let the total amount he had = 1
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.
Fraction of money he gave to charity =
1 - (4/5 + 3/4 + 2/3)
He gives the remaning $50,000 to a charity. How much did he win?
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?
Answers
Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
Each week, Morgan walks a total of 5 miles to and from school, and Whitney walks a total of 6 miles to and from school. Part A Enter a number in each box to complete the ordered pairs showing the total number of miles that Morgan and Whitney will have walked after each week. The first term of each ordered pair is the number of miles Morgan will have walked. The second term is the number of miles Whitney will have walked.
Answers
Answer: (5,10) (6,12) (15,18) (20,24) (25,30)
Step-by-step explanation:
All you have to do is read the question carefully, and if you don’t understand than, keep doubling each number. Example: 5, 10 then you do whitneys part, which is 6,12 than you keep adding 5 and 6
Which ordered pair is the best approximation of the solution?
Answers
Answer:
D. (0.6, 1.3)
Step-by-step explanation:
we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.
the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.
the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).
so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.
therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.
Find the vertex: y=1/2 x^2+2x-3
Please explain how to find the answer too!
Answers
Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
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Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
Answers
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answers
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
help pls i will give brain list to whoever answers first
Answers
Answer:
not a answer
Step-by-step explanation:
try using demos graphing calculator
lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?
Answers
Answer:
2 1/2
Step-by-step explanation:
divide in 5 then divide half in 5 also
Answer:
2,5
Step-by-step explanation:
The length of a piece of wood is:
12 ½ : 5 = 5/2 = 2,5
what is the total value of 6 in 24.63
Answers
Answer:
.60
Step-by-step explanation:
The values is 6 tenths
solve these simultaneous linear equation
3x - 4y = 1
6x + 7y = 13
Answers
9514 1404 393
Answer:
(x, y) = (59/45, 11/15) ≈ (1.311, 0.733)
Step-by-step explanation:
A graphing calculator shows us the solution is not integer values, so we may find it easiest to solve these equations using the "cross-multiplication method."
Writing the equations in general form, we have ...
3x -4y -1 = 0
6x +7y -13 = 0
Then we can form an array of the coefficients, repeating the first column:
[tex]\begin{array}{cccc}3&-4&-1&3\\6&7&-13&6\end{array}[/tex]
Forming differences of cross products involving adjacent pairs of columns gives ...
d1 = (3)(7) -(6)(-4) = 45
d2 = (-4)(-13) -(7)(-1) = 59
d3 = (-1)(6) -(-13)(3) = 33
Then the solutions are found from ...
1/d1 = x/d2 = y/d3
or
x = d2/d1 = 59/45
y = d3/d1 = 33/45 = 11/15
The solution is (x, y) = (59/45, 11/15) ≈ (1.311, 0.733).
_____
Additional comment
This takes longer to explain than to do. One reason we like it is that the number of math operations is slightly smaller than the number of math operations required for substitution or elimination. It is especially nice when the solution is not a pair of integers.
Find the value of x in the isosceles triangle shown below.
Answers
Answer:
option A
Step-by-step explanation:
Let x = y + y
Now using Pythagoras theorem :
[tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]
Therefore , x = y + y = 18
Answer:
(x/2)²+12² =15²
(x/2)²+144=225
(x/2)²=225-144
x²/4. =81
x² =81×4
x. =√81×4
x. =9×2
x. =18
answer is option A
Please telll me answerPlease tell me answer
Answers
Answer:
x = 1 . Hopefully im reading this correct
Step-by-step explanation:
8x - 5 = 3
8x = 5 + 3
8x = 8
x = 8/8
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x is 1
Step-by-step explanation:
AC =PR
AB =PQ
8x - 5 =3
8x =3+5
8x =8
x=8/8
x=1
What is 4-3 written in expanded form?
Answers
Answer:
four minus three
Step-by-step explanation:
your welcome
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces. Part A Which can holds the most tomato juice? Enter red, blue, or yellow in the answer box.
Answers
Answer:
Red can
Step-by-step explanation:
Tonato juice come in different sizes
The red can contains 6 cups
The blue can contains 2 pints
The yellow can contains 32 fluid ounces
Therefore the can that holds the highest juice is the red can with 6 cups if tomato juice
m (slope) =
b ( y - intercept) =
x - intercept =
Answers
Answer:
Step-by-step explanation:
The line is parallel to the x axis, so its slope is 0
m = 0
the y intercept is -2.5
the line doesn’t intercept the x axis because is parallel to it
Alma and Oliver both created this blue segment on the previous screen.
Alma used this expression to find the length: $$
Oliver used this expression to find the length: $$
Whose expression is correct?
Alma
Oliver
Both
Neither
Answers
Answer:
none
Step-by-step explanation:
that's not the correct sign
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answers
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
