Answers
To solve number 14, we will make use of the Law of Cosines, which states that:
[tex]=\sqrt[]{^2+^2^{}-2\cos}[/tex]As in our problem b = 15, c = 13 and A = 95°,we can replace these values in the formula and solve for a:
[tex]=\sqrt[]{15^2+13^2-2\cdot(15\cdot13)\cos 95}[/tex][tex]=\sqrt[]{15^2+13^2-390\cos 95}[/tex][tex]a\approx20.69[/tex]In our case, a is the segment BC.
Answer: 20.7
Related Questions
One gram is approximately 2.2 x 10-pounds. Which of the following represents this number in standard notation? OA. 0.0022 OB. 0.022 OC. 2200 OD. 0.00022
Answers
One gram is approximately 2.2 x 10^-3
10^-3 = 1/1000
= 0.001
= 2.2 x 0.001
= 0.0022
The answer is option A
Drag and drop the angles and line segments into the correct category to identify those that are chords, Inscribed angles, and central angles in the figure. The center of the circle is C. C E F DEF EF DCF DE Chords Inscribed Angles Central Angles
Answers
Given data:
The given figure is shown.
The chords are,
EF
DE
The inscribed angle is ∠DEF.
The central angle is ∠DCF.
Thus, EF and DE are chords. ∠DEF is inscribed angle, and ∠DCF is cenral angle.
What is the measure of angle B in this triangle?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
First, you add the degrees available to you, next, you need to count the variable and add them together, in this case, your problem should show, 40+20-30 for your degrees, which is 30 degrees. Next, you have an "x" and a "2x," therefore you add them together to get 3x. After doing this, you get to your 2-step equation, which should look like 30 + 3x = 180. You get 180 because that is the length of the triangle, it should always be 180. You can now start by subtracting 180 - 30, we switch the + and - when doing the first part. Now, you should have gotten, 150, with 150 you can divide it by 3, you divided by 3 because you switch the division and the multiplication, now you do 150 divided by 3, which is 50. YOUR ANSWER IS: x = 50.
After a dilation with center (0,0), the image of DB is D'B'. IDB = 4.5 and D'B' = 18, the scale factor of this dilation is (1) (3) (2) 5 (4) 4
Answers
We can write the length of DB like this:
[tex]4.5=\frac{9}{2}[/tex]Now, to find the scale factor of the dilation, we have to solve for k the following equation:
[tex]\frac{9}{2}k=18[/tex]then, we have the following:
[tex]\begin{gathered} \frac{9}{2}k=18 \\ \Rightarrow9k=18\cdot2=36 \\ \Rightarrow k=\frac{36}{9}=4 \\ k=4 \end{gathered}[/tex]therefore, the scale factor is k=4
Which Story can be represented as 36 divided by 4 A. Jim has 36 pennies. May has four more pennies Than Jin.B. Jin has 4 fewer pennies than May. May has 36 pennies. C.Jin has 4 pennies. May has 36 times as many pennies as Jin.D.Jin has 36 pennies. She shares the pennies equally among 4 friends.
Answers
D is the answer.
In all the other cases the operations that we will have to make are not divisions.
In case A we have an addition.
In case B we have a substraction.
In case C we have a multiplication.
The correct story which an be represented as 36 divided by 4 is,
D. Jin has 36 pennies. She shares the pennies equally among 4 friends.
We have to given that,
All expressions are,
A. Jim has 36 pennies. May has four more pennies Than Jin.
B. Jin has 4 fewer pennies than May. May has 36 pennies.
C. Jin has 4 pennies. May has 36 times as many pennies as Jin.
D. Jin has 36 pennies. She shares the pennies equally among 4 friends.
Hence, In all the other cases the operations that we will have to make are not divisions.
In case A we have an addition.
In case B we have a subtraction.
In case C we have a multiplication.
In case of D;
D. Jin has 36 pennies. She shares the pennies equally among 4 friends.
This shows the operation division.
As, Each friends get, 36 / 4 = 9 pennies
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UVW is a regular triangle and the length of UV is 3 meters. What is the length of UW?A) 2 mB) 3 mC) 6 mD) 9 m
Answers
When a polygon is regular, all its sides are congruent (that is, they have the same length).
So, if the triangle is regular and one of the sides has a length of 3 meters, therefore all sides have a length of 3 meters.
Correct option: B.
Writing the equation for each line. slope 6 and y-intercept (0,-2).
Answers
We are given slope and the y-intercept. The formula y = mx + c can be used to determine the equation of the line.
m = slope
c= y-intercept.
For this question,
m = 6
c = -2
The equation of the line is
y = 6x + (-2)
y = 6x -2
The answer is y = 6x -2
wХ14. Given: WX || YZ, WX = YZProve: AWXZ AYZXZ
Answers
AT"U"V is the translation of AT"U"V. what is the translation rule? ("A" is actually a triangle)
Answers
we know that
The coordinate of point U is (-7,8) see the image
The coordinate of point U' is (7,0) see the image
so
The rule of the trnslation is 14 units to the right and 8 units down
therefore
the rule is
(x,y) ------> (x+14,y-8)Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.n=34 and 4i are zeros;f(-1)=85F(x) = ________
Answers
Given that at n=3: 4 and 4i are zeros:
Then:
[tex]\begin{gathered} (x-4)(x-4i)(x+4i)\Rightarrow(x-4)(x^2-(4i)^2) \\ (x-4)(x-4i)(x+4i)\Rightarrow(x-4)(x^2+16) \\ (x-4)(x-4i)(x+4i)\Rightarrow x^3+16x-4x^2-64 \\ (x-4)(x-4i)(x+4i)\Rightarrow x^3-4x^2+16x-64 \end{gathered}[/tex]Hence the function is:
[tex]F=x^3-4x^2+16x-64[/tex]Please get help with this for I have tried many times to get the correct answers for each but still could not
Answers
A dilation of a point with a factor k is given by:
[tex](x,y)\rightarrow(kx,ky)[/tex]In this case the dilation factor is ; which means that we need to multiply each component of the vertexes by two. After doing this we get the following graph for the original and final polygon:
From the figure we can answer the questions.
a)
Longest side length of the original figrue: 3 units
Longest side lenght of the final figure: 6 units.
b)
Longest side length of the final figure = 2 x Longest side length of the original figure.
c)
For a positive scale final figure is always bigger than the original one, therefore, the stament is False.
d)
Any dilation creates a similar figure since we are not changing the angles, only the lengths. Therefore the statement is True
The figure is rotated 360° clockwise with the origin as the center of rotation. Which graph represents the rotated figure?
Answers
Given
The figure is rotated 360° clockwise with the origin as the center of rotation. Which graph represents the rotated figure?
Answer
After the rotation of 360 degrees, a figure comes back to original position
Option A is correct
Hope earns $12.35 an hour plus time and a half for weekend work. Last week she worked her regular 45 hours plus 16 hours of overtime on the weekend.What was her total pay for the week?
Answers
Answer:
$852.23
Explanation:
Given the hourly rate as $12.35, let's go ahead and determine what Hope earns per hour for weekend work as seen below;
Time and a half rate (Overtime rate) = 1.5 x 12.35 = $18.53
So if Hope worked her regular 45 hours plus 16 hours of overtime on the weekend, we can go ahead and determine her total pay as seen below;
Total pay = Regular wages + Overtime Wages
= (12.35 x 45) + (18.53 x 16)
= 555.75 + 296.48
= $852.23
can you please solve this practice problem for me I really need assistance and also ONLY SOLVE THE SECOND PROBLEM.
Answers
The answer is the third choice
x - 5 because the temperature diminishes 5 degrees
2 because the temperature doubled
40 because the final number is 40
Which of the following points lies on the graph pf the equation 2x + 6y = 6?A. (-3, 0)B. (-2, 9)C. (-3, 2)D. (2, 6)
Answers
Answer:
[tex]C[/tex]Explanation:
Here, we want to get the point that lies on the given graph
To get this, if we substitute the x value and y value into the function, we should get the value on the right-hand side of the equation, which is 6
Let us look at the 3rd option:
[tex]2(-3)\text{ + 6\lparen2\rparen = -6 + 12 = 6}[/tex]From what we can see here, the random choice was correct and thus, C is the correct answer
In a case where this was incorrect, we simply substitute another point and continue this until we arrive at the correct answer choice
Complete the table for the missing values of r .PT101812161416
Answers
To complete the table, it is observed that as p-values increase by 2 downward, the r-value decreases by 2
Thus
p r
10 18
12 16
14 14
16 12
The equation for the number of points Sydney's needed is
r = 28 - p
a is the midpoint of segment XY.find the value of x and the length of XY
Answers
ANSWER
x = 3, XY = 18
EXPLANATION
We have that A is the midpoint of XY. It means that A divides XY into 2 equal parts.
This means that:
XA = AY
We have that:
XA = 3x
AY = 5x - 6
=> 3x = 5x - 6
Collect like terms:
3x - 5x = -6
-2x = -6
Divide through by -2:
x = -6 / -2
x = 3
That is the value of x.
Since A is the midpoint of XY and XA = AY, then:
XY = 2XA or XAY
So:
XY = 2XA
XY = 2 * 3x = 2 * 3(3)
XY = 2 * 9
XY = 18
That is the value of XY.
(1 4/7)_____-(15/21)
Answers
(1 4/7)
_____
-(15/21)
To solve;
we will cange the division to multiplication. By doing that 15/21 becomes 21/15
That is;
[tex]\frac{14}{7}\times-\frac{21}{15}[/tex]7 can divide 21 to give 3
Hence;
[tex]\frac{14}{1}\times-\frac{3}{15}[/tex]3 can also divide 15 to give 5
[tex]\frac{14}{1}\times-\frac{1}{5}[/tex]we will now multiply
[tex]=\frac{-14}{5}[/tex][tex]=-2\frac{4}{5}[/tex]the probability of the complement of an event is _______ less than the probability of the event itd self possible answers sometimesalwaysnevernot enough information provided to answer the question
Answers
The complement rule states that the sum of the probabilities of an event and its complement must equal to 1. That is, for an event A and its complement A', we have
[tex]P(A)+P(A^{\prime})=1[/tex]so, as long as the sum is 1, the probability of the complement of an event is sometimes less than the probability of the event itself .
Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matinees cost $2 each. Without thepass each movie is normally $6. If Seth plans to go to 30 movies this summer how much money would he save?
Answers
Theres a number of passes to purchase
Normal price (without pass) is $6
If Seth goes to all 30 movies without pass he will spend
30x6 = $180 dollars
WITH the pass Seth have $30 dollars , then dividing by 2 , this means he can go to 30/2 = 15 movies in summer with pass
Then remains another 15 movies that he can vo WITHOUT PASS
in this 15 movies Seth spends 15x6= $90 dollars
add this to the $30 spent in the other 15 movie
it gives 30+90 = $120 dollars
Finally substract
$180- $120= $60 dollars he can save
The following picture has the question that has me troubled can you show me how to get to the answer
Answers
Given that:
[tex]f(x)=\sqrt[]{x},x_0=8,dx=0.07[/tex]Find the change.
[tex]\begin{gathered} \nabla f=f(8+\text{0}.07)-f(8) \\ =f(8.07)-f(8) \\ =\sqrt[]{8.07}-\sqrt[]{8} \\ =0.0123474175 \end{gathered}[/tex]Find the estimate value.
[tex]\begin{gathered} df=\frac{1}{2\sqrt[]{8}}\cdot0.07 \\ =0.0123743687 \end{gathered}[/tex]Determine the approximate error.
[tex]\begin{gathered} |\nabla f-df|=|0.0123474175-0.0123743687| \\ =0.0000269512 \\ \approx0.00002 \end{gathered}[/tex]Option B is correct.
6×(11_6)÷2= do get this
Answers
Ayden, remember the order of operations PEMDAS.
1. Solve the Parentheses First
2. Solve the Exponents
3. Solve the Multiplication and Division
4. Finally, solve the Addition and Subtraction
Solving our exercise, we have:
6× (11 - 6) ÷ 2 =
6 x 5 / 2 =
30/2 =
Congratulations, Ayden! You did it!
you own 5 pairs of jeans and want to take 2 of them on vacation with you. in how many ways can you choose 2 pairs of jeans
Answers
SOLUTION:
Step 1:
In the question, we are given the following:
you own 5 pairs of jeans and want to take 2 of them on vacation with you.
In how many ways can you choose 2 pairs of jeans?
Step 2:
The details of the solution are as follows:
From this question, we can see clearly that this is an application of selection under combinatorial analysis:
[tex]n\text{ C}_r=\text{ }\frac{n!}{r!(\text{ n - r \rparen}!}[/tex][tex]\begin{gathered} Now\text{, we have that:} \\ \text{n = 5} \\ \text{r = 2.} \\ Then,\text{ we have that:} \\ 5\text{ C}_2\text{ = }\frac{5!}{2!\text{ \lparen 5- 2\rparen}!}=\text{ }\frac{5!}{2!3!}=\frac{5\text{ x 4 x 3}!}{2!\text{ x 3}!}=\frac{20}{2}=\text{ 10 ways} \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]10\text{ ways}[/tex]
Pls help!!!! asapppp
Answers
The percentage decrease in the price of the stock is 0.72%
The initial price of the technology stock = $9.66
The new price of the technology stock = $9.59
The decrease in price = The initial price of the technology stock - The new price of the technology stock
Substitute the values in the equation
= 9.66 - 9.59
Subtract the terms
= $0.07
The percentage of decrease in price = (The decrease in price / The initial price of the technology stock) × 100
Substitute the values in the equation
= (0.07 / 9.66) × 100
= 0.72 %
Hence, the percentage decrease in the price of the stock is 0.72%
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the cone has a diameter of 10.5 inches and height of 6.75 inches. what is the volume of the cone? (hundredths place)the ball has a diameter of 8 1/2inches what Is the volume of the sphere? (hundredths place)the difference between the two volumes is(round to the nearest hundredth)
Answers
where,
r is the base radius of the cone
h is the perpendicular height of the cone
In this case,
r = 10.5 / 2= 5.25in
h = 6.75in
[tex]\begin{gathered} \text{Therefore} \\ \text{volume of cone}=\frac{\pi\times5.25^2\times6.75}{3}=194.83in^3 \end{gathered}[/tex]Volume of a ball is given by
[tex]\text{volume of ball =}\frac{4}{3}\times\pi\times r^3[/tex]where r is the radius of the ball
in this case,
[tex]r=\frac{8\frac{1}{2}}{2}=4.25in[/tex]Therefore
[tex]\text{Volume of ball = }\frac{4\times\pi\times4.25^3}{3}=321.56in^3[/tex][tex]\begin{gathered} \text{The difference betw}een\text{ the two volumes=321.56-194.83}=126.73 \\ =126.73in^3 \end{gathered}[/tex]An investor invested a total of 57000 into two bonds. One bond paid 3% simple interest, and the other paid 2 7/8% interest. The investor earned a total of $1676.25 in annual interest. How much was originally invested in each account?
Answers
Answer:
$30,000 (at 3%) and $27,000 (at 2 7/8%)
Explanation:
The investor invested a total of 57000
• Let the amount invested at 3% simple interest = x
,• Then, the amount invested at 2 7/8% simple interest = 57000-x
Recall the formula for simple interest:
[tex]Simple\: Interest=\frac{Principal\times Rate\times Time}{100}[/tex]Interest at 3%
[tex]\begin{gathered} S\mathrm{}I\mathrm{}=\frac{x\times3\times1}{100} \\ =\frac{3x}{100} \\ =0.03x \end{gathered}[/tex]Interest at 2 7/8%
[tex]\begin{gathered} SI=\frac{(57000-x)\times2\frac{7}{8}\times1}{100} \\ =\frac{2.875(57000-x)}{100} \\ =0.02875(57000-x) \end{gathered}[/tex]Total Interest
The investor earned a total of $1676.25 in annual interest. Therefore:
[tex]\begin{gathered} 0.03x+0.02875(57000-x)=1676.25 \\ 0.03x+1638.75-0.02875x=1676.25 \\ 0.03x-0.02875x=1676.25-1638.75 \\ 0.00125x=37.5 \\ x=\frac{37.5}{0.00125} \\ x=30,000 \end{gathered}[/tex]Thus, the amount invested at 3% simple interest = $30,000
The amount invested at 2 7/8% simple interest = 57,000-30,000 = $27,000
This is the last question we have been stuck on it is there anyway you can help us out
Answers
Clearly,
[tex]1.3\cdot10^{12}[/tex]Is the largest number.
That's because it has more zeros due to its exponent is the most bigger of the four options.
A laptop has ablisted price of $739.98 befire tax. If the sales tax rate is 8.75%, find the total cost of the laptop with sales tax included.
Answers
Total cost of laptop after sales tax is included = $804.73
Explanation:
price before sales tax = $739.98
Sales tax rate = 8.75%
Total cost of laptop after sales tax = $739.98 × (100% + 8.75%)
= $739.98 × (1 + 0.0875)
= 739.98 × 1.0875
= $804.73
Total cost of laptop after sales tax is included= $804.73
A flower garden is shaped like a circle. Its radius is 18 yd. A ring-shaped path goes around the garden. The width of the path is 5 yd.
The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd^2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for pi.)
Answers
The number of gallons of the coating must be a whole number will be 114 gallons.
What is the area of the circle?Let d be the diameter of the circle. Then the area of the circle will be
A = (π/4) d² square units
At the recreation area, there is a pool molded like a circle with a measurement of 24 yds. A ring-molded way circumvents the pool. Its width is 6 yds.
The area of the path will be given as,
A = (π/4) (24 + 6 + 6)² - (π/4) (24)²
A = (π/4) [36² - 24²]
A = (π/4) [720]
A = 565.5 square yards
We will give another layer of covering to the way. On the off chance that one gallon of covering can cover 5 yd². Then the number of gallons of coating is given as,
⇒ (565.5) / 5
⇒ 113.097
⇒ 114 gallons
The number of gallons must be a whole number will be 114 gallons.
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The measures of the angles of a triangle are shown in the figure below. Solve for x. 47 74
Answers
ThisThe sum of angles in a triangle
[tex]=180^0[/tex]The angles given in the triangle are
[tex]x^0,74,47^0^{}^{}^{}_{}^{}[/tex]Which means that,
[tex]x^0+47^0+74^0=180^0[/tex][tex]\begin{gathered} x^0+121^0=180^0 \\ \text{collecting like terms,we will have} \\ x^0=180^0-121^0 \\ x^0=59^0 \end{gathered}[/tex]Hence,
The final answer is x=59°