Answers
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side/ adj side
tan ? = 40 / 10
tan ? = 4
Taking the inverse of each side
tan ^ -1 (tan ?) = tan ^-1(4)
? =75.96375653
To the nearest degree
? = 76
Related Questions
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answers
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
Choose the graph that correctly corresponds to the equation y = −4
Answers
Answer:
e
Step-by-step explanation:
the graph should look something like this
Expand and Simplify
10a-(3a+7)
Answers
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB
Answers
Answer:
Option 3
Step-by-step explanation:
Given:
AB ≅ CD
Point P lies on AB and point Q lies on CD.
∠APO = ∠DQO = 90°
By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.
Therefore, OP and OQ will be congruent.
Option (3) will be the answer.
Which of the following best describes a basic postulate of Euclidean
geometry?
A. All circles measure 360°
B. All right triangles are congruent.
C. A straight line segment has a midpoint.
D. A straight line segment can be drawn between any two points.
Answers
Answer:
D. A straight line segment can be drawn between any two points.
Step-by-step explanation:
Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.
One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.
Others include;
I. All right angles are congruent.
II. All straight line segment is indefinitely extendable in a straight line.
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Answers
Step-by-step explanation:
the answer is in the image above
The mass of 5 m' of copper is 44 800 kg. Work out
the density of copper.
Answers
In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?
Answers
Answer:
none of the tables shown
Step-by-step explanation:
Inverse variation is
xy = k where k is the constant
xy = 4
in the top table
-2*2 = -4 so it cannot be the first table
In the middle table
-2 * -8 = 16 so it is not the middle table
In the bottom table
-2 *4 = -8 so it is not the bottom table
There must be a table not shown
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answers
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?
Answers
Answer:
Below in bold.
Step-by-step explanation:
a. This is the Lowest common multiple of 30 and 40 which is
120 seconds.
b. In 120 seconds Abram had completed 120/40
= 3 laps.
c. Joshua completed 120/30 = 4 laps.
Answer:
Step-by-step explanation:
A, Lowest common mutiple of 30 and un is 120 seconds
(40x3 = 120, 30x4 = 120)
6.120/40 = 3 laPs Abram did 3 laps.
L. 120/30 = u laPs Jeshya did u laps
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answers
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answers
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
HELPASAP
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Answers
Answer:
add an attachm3nt to make iy clear
I needddd help it’s urgenttttt!!!!
Answers
135
Step-by-step explanation:
First find the measure of CBF
CBF is a straight line so therefore it measures 180*
BFE = 75*
CBD = 45*
75 + 45 = 120*
180 - 120 = 60
60 + 75 = 135*
Therefore DBF measures 135*
if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2
Answers
Answer:
f the mean of this set is equal to 20, we can write down the below equation,
20 = (x1 + x2 +x3 + .... + x10)/10
x1 + x2 + x3 + ... x10 = 200
Then we can also write an equation for the mean of the given numbers as below,
Mean = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10
= (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10
Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200
Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10
= 420/10
= 42
If you remember Arithmetic Progressions you can simply add together the above number set.
If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40
Here we want the addition of 10 terms. So we can use,
Sn = n/2(a+l)
S10 = 10/2(4+40)
= 220
Then you can easily get the answer,
Mean = (200 + 220)/10
= 42
Daniela buys records for $9 each
if daniela buys 4 records how much money will she spend?
Money spent( )
Answers
Explanation: if each record is 9$ and you buy for you simply multiply 9x4 and end with 36
Answer:
36
Step-by-step explanation:
9×4=36 so money spent will be 36 dollars
Which function is shown in the graph below? Please hurry I’m being timed!!!
Answers
PLEASE HELP!! would this be symmetric or reflexive property?
Answers
Answer: It's "reflexive" because the equation is equal on both sides
Step-by-step explanation: The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)
Hope this helped!!
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answers
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
PLEASE HELP!! Angle K has a measure of 83° and is reflected across the line y = 2 to get angle K'.
What is the measure of angle K'?
Enter your answer as the correct value, like this: 42
Answers
Answer:
[tex]K' = 83^o[/tex]
Step-by-step explanation:
Given
[tex]K = 83^o[/tex]
Reflection: [tex]y= 2[/tex]
Required
K'
The general rule is that, reflection does alter measurements (angles or lengths).
So, this means that K' will have the same measure as K.
i.e.
[tex]K' = K[/tex]
[tex]K' = 83^o[/tex]
Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this year is $40000 and above pay $5000 plus 40 cents in the dollar in tax on anything over $40000 per annum and $50000 and above pay $ 9000 plus 30 cents in the dollar in tax on anything over $ 50,000per annum, plus 2% of her income if he is not in a health fund.
Answers
Answer:
Caroline has to pay $8600 taxes
Jennifer has to pay $10320 taxes
Step-by-step explanation:
I guess the question is who has to pay how much taxes, right ?
Caroline earns $49000, and I guess, she belongs to a health fund.
she has to pay $5000 for the first $40000.
and for the remaining $9000 she has to pay $0.40 per dollar.
that means 9000×0.4 = $3600
and no penalties for no health fund.
so altogether $5000 + $3600 = $8600 taxes
Jennifer earns $51000 and did not belong to a health fund.
she has to pay $9000 for the first $50000.
and for the remaining $1000 she had to pay $0.30 part dollar.
that means 1000×0.3 = $300
and 2% of the total income because no health fund
51000×0.02 = $1020
so, altogether $9000+$300+$1020 = $10320 taxes
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answers
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Who can help me with problem 2 you can earn 11 points
Answers
Answer:
m∠ADC = 90°
5x-5 = 90
x = 19
Step-by-step explanation:
UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR
Answers
Answer:
1/6 is less than 1/2
Step-by-step explanation:
1/6 is close to 0
8/9 is close to 1
1/6 is less than 1/2
choose the equation that satisfies the data in the table
Answers
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
option D is correctWhat is the area of this polygon
Answers
Answer:
51
Step-by-step explanation:
1. Approach
One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.
One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).
2. Find the area of (ABC)
The formula to find the area of a triangle is the following:
[tex]A=\frac{b*h}{2}[/tex]
Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]
3. Find the area of (ACDE)
The formula to find the area of a rectangle is as follows:
[tex]A=b*h[/tex]
The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:
[tex]A=7*6\\\\A=42[/tex]
4. Find the area of the total figure
To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:
[tex]9+42= 51[/tex]
What is the value of c
Answers
Answer:
if im not mistaken its 121
Step-by-step explanation:
Answer:
99°
Step-by-step explanation:
The interior angle sum of any 5 sided polygon is 540°.
540-53 = 487 - 137 = 350 - 105 = 245- 146 = 99°
solve the formula for a
(q&c in picture)
Answers
Answer:
C
Step-by-step explanation:
Subtract Vot from the given equation
s - Vo*t = 1/2 a t^2 Multiply by 2
2(s - Vo*t) = at^2 Divide by t^2
2(s - Vo*t) / t^2 = a
Looks like C is the answer.
What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9
Answers
Answer:
A. log9 3=x
Step-by-step explanation:
The logarithmic form with base 9 is log₉ 3 = x.
The correct option is A.
The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.
The logarithmic form with base 9 is log₉ 3 = x.
Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.
The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).
In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.
Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.
To learn more about the logarithms;
brainly.com/question/28346542
#SPJ6
Help would be greatly appreciated
Answers
Answer:2/pi
Step-by-step explanation:
First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.
