Step-by-step explanation:
The arc drawn must be in the interior side of the angle to be bisected because while constructing the angular bisector, we make an arc cutting both the rays of the angle, so in order to cut the angle in to two equal part, we should make arcs in the interior part of the angle subtended so that it bisects the angle in two equal parts.
If sin(x) = 3/5, what is sin(2x)
====================================================
Explanation:
If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity
sin^2(x) + cos^2(x) = 1
This is assuming that x is in quadrant Q1.
Plug those values into the identity below and simplify.
sin(2x) = 2*sin(x)*cos(x)
sin(2x) = 2*(3/5)*(4/5)
sin(2x) = 24/25
Answer:
24/25
Step-by-step explanation:
Trig functions relate the angle of a triangle with the sides of that triangle (right triangle)
sin(x)= 3/5 (opposite/ hypotenuse) (25=9-x^2, using pythag. theorem, remaining side= 4)
now, cos(x)= 4/5
now, the double angle identity states:
sin2x= 2sinxcosx
so,
sin2x= 2 * (3/5) * (4/5) =
24/25
Suppose Katie places $4000 in an account that pays 18% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years
Answer:
A) $48,720 B) $97,440
Step-by-step explanation:
A)
185 of 4000 = 720
12 months per year
4000 times 12 + 720
48000 + 720 = $48,720
B) 48,720 times 2 = $97,440
*wow she has a bunch of dough*
Why is 2 + (−3) equal to −1 HELP
Because it is 3 units to the left of 2 on a horizontal number line
Because it is 3 units to the right of 0 on a horizontal number line
Because it is 3 units to the left of 0 on a horizontal number line
Because it is 3 units to the right of 2 on a horizontal number line
Answer:
The answer is A
Its A.
Reasoning: Because I Took The Test
Formulas HW for algebra. First correct answer gets brainliest.
Answer:
T = Z + pr
Z + T = pr
Z/r + T/r = p
Answer:
p = Z/r + T/r
Solve and check solve for e
Answer:
e(as in variable)=1/7x+2, e(as in euler)=2.388326
Step-by-step explanation:
2.718282
7
+181−179
=2.388326
find the unknown angles
Answer: Hi!
Since this is a right triangle, we already know that one angle is 90 degrees. Since the angles of a triangle all add up to 180 degrees, and the two unknown angles will be equal, all we have to do is subtract 90 from 180 and then divide the difference by 2!
180 - 90 = 90
90 ÷ 2 = 45
The two missing angles are each 45 degrees.
(x = 45 and y = 45)
Make sure to put the degrees sign after your answers!
Hope this helps!
Answer:
45 degrees.
Step-by-step explanation:
All of the angles in a triangle is 180 degrees.
Knowing that we subtract 90 degrees, the right angle from 180 degrees.
180-90=90
Since both the angles are equal,
90/2=45
Hope this helps :)
Have a great day!
Meghan sets up her model train on a circular track that is 1 metre wide and that sits in her bedroom doorway, half in her bedroom and half in the hallway. Each round trip takes 2 seconds, and the train starts as far into the bedroom as possible. How deep into her bedroom the train engine is in terms of time is modelled by which equation?
Answer:
We have a circular track that is 1 meter wide, which would mean that the diameter is equal to 1 meter.
First, we want to define this problem as a one dimensional problem. The position 0 is in the doorway, the bedroom is the positive axis, and the hallway is the negative side.
P(t) = R*cos(c*t) + R*sin(c*t).
Where R is the amplitude, in the case of the circular motion, R is equal to the radius.
If the diameter is 1m, the radius is 1m/2 = 0.5m
The equation now is:
P(t) = 0.5m*cos(c*t) + 0.5m*sin(c*t).
We also know that for t = 0s, the train is as far into the bedroom as it can, the maximum position is P = 0.5m
Then we have:
P(0s) = 0.5m*1 + 0.5*0 = 0.5m
And we also know that the period is t = 2seconds.
The period for the sine and cosine functions is 2*pi, then:
c*2s = 2*pi
c =pi/s
The function now is:
P(t) = 0.5m*cos(t*pi/s) + 0.5m*sin(t*pi/s)
When this function is positive, this means that the train is inside her bedroom, when the function is negative, the train is outside the bedroom, when P(t) = 0, the train is in the doorway.
The sum of two numbers is eight. Using y to represent the smaller number,
translate "three times the larger number" into a variable expression and thenuh
simplify.
Answer:
24 - 3y
Step-by-step explanation:
Since the sum of the two numbers is 8, the larger number is 8 - y.
Three times the larger number: 3 (8 - y).
Simplify using Distributive property: 3 (8 - y) = 24 - 3y.
So the answer is 24 - 3y
arrange the slope values in order from least steep to most steep
3
4/5
-3
-11/2
1.5
0
Answer:
0 => -⅘ => 1.5 => 3 => -4 => [tex]-\frac{11}{2} (-5.5)[/tex]
Step-by-step explanation:
The greater the absolute value of a slope, the steeper the slope. By absolute value, we mean the non-negative value of tthe .
To arrange the slope values, from the least steep to the steepest, ignore the negative sign in any of the slope values.
Thus, in the order from the least steep to the steepest, we have:
0 => -⅘ => 1.5 => 3 => -4 => [tex]-\frac{11}{2} (-5.5)[/tex]
The greater the absolute value of the slope, the greater the vertical movement. The greater the vertical movement, the steeper the slope.
A slope value of 0 connotes a horizontal line.
¿Que es la proporcionalidad inversa?
Answer:
Pero cuando una magnitud crece y la otra disminuye proporcionalmente, se le llama proporcionalidad Inversa. Dos magnitudes son inversamente proporcionales si al multiplicar (o dividir) una de ellas por un número, la otra queda dividida (o multiplicada) por el mismo número.
Or, But when one magnitude increases and the other decreases proportionally, it is called Inverse proportionality . Two quantities are inversely proportional if when multiplying (or dividing) one of them by a number, the other is divided (or multiplied) by the same number.
What is the scale factor of the triangles ABE & DBC ?
In other words, you'll use the SAS similarity property with 3/2 as the scale factor
=================================================
Explanation:
Choice A is not correct because we don't have enough info about all three pairs of sides.
Instead we'll go with SAS similarity. This is the idea where we'll use two pairs of sides to see if they are in the same proportion, and we'll also use the included angle between the two sides. The angles ABE and DBC are congruent as they are vertical angles. So that's where the "A" comes from in "SAS".
As for the S terms, we divide the corresponding sides like so
DB/AB = 9/6 = 3/2
BC/BE = 1.5/1 = 15/10 = 3/2
The scale factor as a fraction is 3/2, which converts to the decimal form 1.5
This says that triangle DBC has sides that are 3/2 = 1.5 times longer than corresponding sides in triangle ABE.
------------------
If you're curious how the sides correspond, then look at the ordering of ABE and DBC. The order is important when it comes to similar triangles.
AB and DB are the first two letters of ABE and DBC respectively. So we have AB pair up with DB.
Similarly, BE and BC pair up because they are the last two letters of ABE and DBC respectively.
We divide sides of DBC over sides of ABE to get the scale factor from ABE to DBC. The scale factor must be some result larger than 1 do indicate an enlargement is going on.
chika left his house by 7.05pm and returned by 1.00pm. How long did he spend outside his house
Answer:
Step-by-step explanation:
7.05 p.m we can call it as 19.05
and 1.00 p.m means 13.00
so time from 19.05 to 24.00 is = 24.00-19.05= 4.55 hr
from 24.00 to 13.00 is = 13.00 hr
so total hr is 4.55 + 13.00= 17.55 hr
Simplify.
6m +7n +5т — Зm
Answer:
3m +7n +5т
Step-by-step explanation:
6m +7n +5т — Зm
Combine like terms
3m +7n +5т
5.8 -28.37 compute
Find a formula for the described function. A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides
Answer:
[tex]A(L) = 4L - L^2[/tex]
Step-by-step explanation:
Given
Perimeter = 8m
Required
Determine its area as a function of length
Represent Length and Width with L and W, respectively;
Perimeter (P) is calculated as thus;
[tex]P = 2(L + W)[/tex]
Substitute 8 for P
[tex]8 = 2(L + W)[/tex]
Divide both sides by 2
[tex]4 = L + W[/tex]
Make W the subject of formula
[tex]W = 4 - L[/tex]
Area (A) of a rectangle is calculated as thus:
[tex]A = L * W[/tex]
Substitute 4 - L for W
[tex]A = L * (4 - L)[/tex]
Open bracket
[tex]A = 4L - L^2[/tex]
Represent as a function
[tex]A(L) = 4L - L^2[/tex]
Area of rectangle in terms of length L is
[tex]A(L)= 4L-L^2[/tex]
Given :
A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides
We know that the perimeter of rectangle formula is
[tex]perimeter = 2(length)+2(width )[/tex]
perimeter is 8m
Let the length of rectangle is L
[tex]P=2L+2W\\8=2(L+W)\\4=L+W\\W=4-L[/tex]
so width is 4-L
Now we use area formula
Area of rectangle = length times width
[tex]A=L(W)\\A=L(4-L)\\A= 4L-L^2[/tex]
Area of rectangle in terms of length L is
[tex]A= 4L-L^2[/tex]
Learn more : brainly.com/question/5085323
Roger bowled 7 games last weekend. His scores are 155, 165, 138, 172, 127, 193 , 142. What is the RANGE of Roger's scores?
Answer:
66
Step-by-step explanation:
To find the range, find the difference between the smallest and largest values
The largest value is 193 and the smallest is 127
193 - 127
= 66
The range of Roger's score after he bowled 7 games last weekend is 66
Range is the difference between the highest and the lowest be score in a distribution.Given scores:
155, 165, 138, 172, 127, 193 , 142
The highest score is 193
Lowest score is 127
Range = Highest score - Lowest score
= 193 - 127
= 66
Therefore, the range of Roger's score after he bowled 7 games last weekend is 66
Read More:
https://brainly.com/question/19411341
Suppose that a typical adult heart pumps 5.0 liters of blood per minute. Express this rate in SI units you provided above. M/s. 1cm^3=1mL
Answer:
The answer is below
Step-by-step explanation:
International system of unit (SI unit) are standard units which are universally accepted. There are 7 basic SI units which are meter (m), second (s), kilogram (kg), mole (mol), ampere (A), candela (cd) and kelvin (K).
The SI unit of flow rate is the m³/s.
The conversions needed are:
1 minute = 60 seconds,
1 cm³ = 1 ml = 0.001 ml,
1000000 cm³ = 1 m³,
1 L = 0.001 m³
We have to convert 5.0 liters of blood per minute. to m³/s. Therefore:
[tex]5\ L/minute=\frac{5\ L*0.001\ m^3}{1\ min*60\ s}=8.33*10^{-5} \ m^3/s[/tex]
toss two dice. the probability of rolling an even number on both sides is 1/2x1/2= 1/4. predict in 120 tosses how many times an even number will appear on both dice?
Answer:
Chances of both even number = 30 times
Step-by-step explanation:
Given:
Chances of both even number = 1/4
Total number of tosses = 120
Find:
How many times both dice show even number
Computation:
Chances of both even number = [Chances of both even number][Total number of tosses]
Chances of both even number = 1/4 [120]
Chances of both even number = 30 times
Laura orders 50 m² of concrete paving slabs. The slabs cost £16.75 per m². How much do the slabs cost in total
Answer:
£837.5
Step-by-step explanation:
If she has 50 m² and it costs £16.75 for every m² of concrete, 50 × 16.75 = £837.5.
a cup is 1/16 of a gallon. what part of a gallon is 10 cups
Answer:
5/8 of a gallon
Step-by-step explanation:
since a cup is 1/16 of a gallon and were asked what part of a gallon is 10 cups so what were going to do is....
(1/16)*10= 10/16 = 5/8
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. If the value of the test statistic is 4.99 what is the conclusion of the test? Use significance level of 1%.
A. proportions have changed significantly
B. proportions have not changed significantly
C. test is inconclusive
D. None of these alternatives is correct.
Answer:
Proportions have not changed significantly ( B )
Step-by-step explanation:
GIVEN DATA :
Test statistic = 4.99
significance level = 1% = 0.01
k ( number of groups ) = 3
will we use the chi-squared test to determine the degree of freedom
which is : k-1 = 3 - 1 = 2
looking at the chi-square table to determine the critical value of the test
at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21
Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen that the test value < critical value which is a condition for not rejecting null hypothesis of the test.
therefore we won't reject the null hypothesis
The table shows ordered pairs of the function y=8 - 2x. What is the value of y when x = 8?
Answer:
-8.
Step-by-step explanation:
y = 8 - 2x.
x = 8.
y = 8 - 2(8)
= 8 - 16
= -8.
Hope this helps!
Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:y=0 So its A
Step-by-step explanation:3(-y+7)=3(y+5)+6
We move all terms to the left:
3(-y+7)-(3(y+5)+6)=0
We add all the numbers together, and all the variables
3(-1y+7)-(3(y+5)+6)=0
We multiply parentheses
-3y-(3(y+5)+6)+21=0
We calculate terms in parentheses: -(3(y+5)+6), so:
3(y+5)+6
We multiply parentheses
3y+15+6
We add all the numbers together, and all the variables
3y+21
Back to the equation:
-(3y+21)
We get rid of parentheses
-3y-3y-21+21=0
We add all the numbers together, and all the variables
-6y=0
y=0/-6
y=0
Answer:
y = 0
Step-by-step explanation:
Evaluate function f(x) = 5x - 3 f(5) =
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
Evaluate 14.8 - 0.72
Answer:
the answer is 14.08
Step-by-step explanation:
Correct 0.04945 to two significant figures
Answer:
0.049.
Step-by-step explanation:
The number after the 9 is 4 so 9 remains.
The florist makes the greatest number of identical arrangements with the lilies and the daisies. Which combination describes the arrangements?
Answer:
12 arrangements with 5 lilies and 3 daisies
Step-by-step explanation:
Can someone please help me with this exercise? I'm having problems with point B.
Step-by-step explanation:
After you find the sums for each set, make a list, counting the number of ways a sum can occur.
You'll notice that for Set A, sums of 5, 6, 7, 8, and 9 all appear 4 times. So they have equal probabilities. In Set B, a sum of 7 appears 6 times. Sums smaller or larger than 7 are less common.
When we look at the data, we see that were more sums of 7 than any other sum. So this data was probably from Set B.
Question 2 (1 point)
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A year ago, Rebecca purchased 100 shares of Havad stock for $20 per share.
Yesterday, she placed a limit order to sell her stock at a price of $33 per share before
the market opened. The stock's price opened at $23 and slowly increased to $26 in
the middle of the day, before declining to $22 by the end of the day. The stock did
not pay any dividends over the period in which Rebecca held it. Given Rebecca's
initial investment of $ 20 per share, her return is
Answer:
Her return is [tex]R = 0.10[/tex]
Step-by-step explanation:
From the question we are told that
The number of shares purchased is [tex]n = 100 \ shares[/tex]
The cost price of each share is [tex]x = \$ 20[/tex]
The limit order is [tex]y = \$ 33[/tex]
The first market price for each share is [tex]k = \$ 23[/tex]
The second market price for each share is [tex]u = \$ 26[/tex]
The third market price for each share is [tex]w = \$ 22[/tex]
Generally the limit order would not be executed given that it is higher than the market opening and closing price.
Considering Rebecca's initial investment of $ 20 per share, her return is mathematically evaluated as
[tex]R = \frac{w + d - x}{x}[/tex]
Here d stands for the dividend but since we are told that the stock did not pay any dividend
[tex]R = \frac{22 + 0 - 20}{20}[/tex]
[tex]R = 0.10[/tex]
Find the percent change from a stock that was worth $230 and is now $287
Answer:
24.78%
Step-by-step explanation:
Initial price = $230
Final price = $287
change in price = final price - initial price
= 287 - 230
= $57
Percent change
= (change in price / initial price) x 100%
= (57 / 230) x 100%
= 24.78%