Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
Learn more about percent here:
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Answer:
its a
Step-by-step explanation:
Identify the correct explanation for why the triangles are similar. Then find TO and US.
Answer:
The correct explanation is option B;B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
= 5
= 10
= + = 15
= x - 3
= x + 1
A two column proof is presented as follows;
Statement Reason
∠L ≅ ∠L By Reflexive property of congruency
║ Given
∠LOP ≅ ∠LMN By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
/ = / = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
= (x - 3) = 5 - 3 = 2
= 2
= x + 1 = 5 + 1 = 6
= 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©
A drink recipe calls for papaya juice and water. This equation represents the proportional relationship between the number of milliliters of papaya juice (p) and water (w) in the recipe.
5p = 85w
Enter the number of milliliters of water used for 1 milliliter of papaya juice.
Answer:
1/17 mL of water
Step-by-step explanation:
5p = 85w
Divide both sides by 85.
5p/85 = 85w/85
p/17 = w
w = p/17
For 1 mL of papaya juice, p = 1.
w = 1/17
1/17 mL of water is used for 1 mL of papaya juice.
The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?
Use 3. 14 for
Answer:
r = 3 yds
Step-by-step explanation:
The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.
The circumference is given and using 3.14 for pi, we'll then solve for r. see image.
change 1.77 tones to kilograms
Answer:
1.77 Tones = 1770 Kilograms
Step-by-step explanation:
Multiply the value of the tone by 1000 to get KG
1.77 x 1000 = 1770
(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question
Answer:
The choice B
Step-by-step explanation:
[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]
In which quadrant is the value of the x-coordinate of a point on the unit circle always greater than the y-coordinate?
Answer:
IV
In the fourth quadrant (IV).
Step-by-step explanation:
In the IV quadrant the x coordinate is always positive and the y coordinate is always negative. So the x coordinate is always larger than the y coordinate.
Find area of shaded region.
area of shaded region = 1/4 of the circle area - triangle area
circle area = pi x r² = 3,14 x 2² = 12,56 m²
so 1/4 circle area = 12,56 : 4 = 3,14 cm²
and
triangle area = 1/2 x 2 x 2 = 2 m²
=> area of shaded region = 1,14 cm²
A perpendicular bisector is _____ to a line segment and intersects the line segment at its _____.
A. perpendicular; endpoint
B. adjacent; midpoint
C. supplementary; angle
D. perpendicular; midpoint
E. exterior; linear pair
Answer:
D. perpendicular; midpoint
Step-by-step explanation:
A perpendicular bisector is perpendicular to a line segment and intersects the line segment at its midpoint .
__
This is a vocabulary question. It is always a good idea to learn the vocabulary, so you can understand statements that make use of these words. In the attached image, the line segment containing C is the perpendicular bisector of segment AB.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: A
Step-by-step explanation:
2 2/5 is a larger number than 1 4/5.
The easiest way to know this is to look at the first number. 2 is larger than 1.
Hope this helps!
Answer:
A.
Step-by-step explanation:
2 2/5 is a bigger number than 1 4/5, so you would us greater than sign
help please thank you!!!
Answer:
3/4 · 1/4 = 3/16
Step-by-step explanation:
We can see from the picture that
yellow is
4 boxes out of the entire group of 16 boxes, hence 4/16
OR simplified
1 horizontal strip out or 4 total same horizontal strips, hence 1/4
blue is
12 boxes out of the entire group of 16 boxes, hence 12/16
OR simplified
3 vertical strips out or 4 total vertical strips, hence 3/4
The multiplication problem is
1/4 · 3/4 = 3/16 or 3/4 · 1/4 = 3/16
The result is 3 green boxes out of all 16 boxes.
(3/16 can not be simplified)
Draw and label a triangle with a base that is 3 times its height and has an area that is less than 50 square inches.
Answer: i dont knpw how to do tht can u tell me where to draw im just getting points
Step-by-step explanation:
Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
Answer:
9.31
Step-by-step explanation:
Distance = 3 ⅘ x 2.45
3 ⅘ = 3.8
3.8 x 2.45 = 9.31
Struggling on this one
Answer:
x=98
Step-by-step explanation:
Alright, so..
Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:
-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14
now, we have the equation:
14=x/7
Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..
x/7(7)=1x/1
1x/1 is the same thing as 1x, which is the same thing as just "x"
Now, do it to the other side:
14(7)=98
Thus we have:
98=x or x=98
this can be checked by substituting the "x" for 98:
6=98/7-8
98/7=14
14-8=6
6=6
which is correct.
Thus, the answer is: x=98
Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx
~Mitsuna
(w+9)+3 write an expression equivalent
Answer:
[tex]\displaystyle 12 + w[/tex]
Explanation:
Just combine like-terms to arrive at your answer:
[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]
I am joyous to assist you at any time.
A triangle has two sides of length 4 and 2. What is the smallest possible whole-number length for the third side?
Answer:
19
Step-by-step explanation:
What is the value of the expression below?
-(-4)(-6)-3/5(10+15)
______________
1/3
A) -117
B) -13
C) 3
D) 27
Answer:
Answer is A
- 117
_______________________________________
Answer:
ay wee tologo bo sharmaine?
Use the standard normal distribution to find P(-1.23 Sz<2.12).
Answer:
(d) 0.8736
Step-by-step explanation:
Unless you have a table of the normal distribution available, this is a calculator problem. Your calculator, or any spreadsheet, can tell you the probability is ...
P(-1.23 ≤ z ≤ 2.12) ≈ 0.8736
Using the tree diagram below, what is the probability of getting tails and an even number?
Answer:
Can’t really help since there is no tree diagram presented.
But if you want to know the probability just in this context lets put
Tails / total
even / total
Multiply the two
(Tails / total) * (even / total)
Help what do I do do i just write y-3x+5 or solve it
Answer:
y=-3x+5
Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.
Answer:
y = -3x +5
Step-by-step explanation:
In general, do what the question asks you to do: write the equation of the line.
__
The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...
y = mx + b . . . . . . where m is the slope, b is the y-inercept
You are given m = -3 and b = 5, so the equation you are asked to write can be ...
y = -3x +5 . . . . . . this equation is the answer to the question
__
Additional comment
There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:
x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'
Another useful form is "standard form", which has ...
ax +by = c . . . . where a > 0, and a, b, c are mutually prime
For example, the equation for your line could be written in standard form as ...
3x +y = 5
Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units
Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For this case, the missing image is attached below.
Applying the sine law, as we have:
The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZThe first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).
Using sine law, we get:
[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]
Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
Learn more about law of sines here:
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Select the correct answer. Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio stations. 30 , 31 , 37 , 36 , 31 , 35 , 34 By how many minutes would her median time change if she added another radio station playing 37 minutes? A. the median did not change B. 0.5 C. 0.4 D. 0.45
Answer:
D. 0.45
Step-by-step explanation:
Median is everything added up, then divide by the amount of numbers you have.
30+31+37+36+31+35+34=234
then divide by 7 and you get 33.42
30+31+37+36+31+35+34+37=271
then divide by 8 and you get 33.87
33.87 and 33.42 have a difference of 0.45
What is the measure of angle w°? Show all work.
Select the values that would satisfy the following inequality:
K ≤ 12.75
|12.75|
|-12.75|
13
|-15|
0
Answer:
If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.
Step-by-step explanation:
There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?
Answer:
80,000
Step-by-step explanation:
The population doubles every 260 hours. 260 goes into 780 three times.
10,000x2=20,000
20,000x2=40,000
40,000x2=80,000
The number 175 is 25% of what number?
Answer: 700
Step-by-step explanation:
175 * 4 = 700
Answer:
700
Step-by-step explanation:
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Find the greatest common factor of 27,45and9
Answer:
9
Step-by-step explanation:
GCF of 27 and 45 is 9.
Look at the image... I hope this image helps you.
Please help I will give brainliest.
Answer:
3 Rd one
Step-by-step explanation:
donee....!!✓give me the branliest
Find the missing value in the table
(Ignore all the writing I did already I think it’s wrong but I’m not sure)
Answer:
Step-by-step explanation:
#1 is correct
#2 is correct
#3 is correct
#4 is correct
#5 is correct
#6 is 29.6
Haruto simplified the value below. Cosecant (StartFraction 19 pi Over 4 EndFraction) = StartRoot 2 EndRoot Which statement explains whether Haruto is correct? Haruto is correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction and the reference angle is StartFraction pi over 4 EndFraction. Haruto is correct because the angle is coterminal with StartFraction pi Over 4 EndFraction, which is also the reference angle. Haruto is not correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction, and Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartFraction negative 1 Over StartRoot 2 EndRoot EndFraction = StartFraction negative StartRoot 2 EndRoot Over 2 EndFraction. Haruto is not correct because the angle is coterminal with StartFraction pi over 4 EndFraction, and Cosecant (StartFraction pi Over 4 EndFraction) = StartFraction 1 Over StartRoot 2 EndRoot EndFraction = StartFraction StartRoot 2 EndRoot Over 2 EndFraction.
If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The expression is given below.
[tex]\rm cosec \ \dfrac{19\pi}{4} =\sqrt2[/tex]
The angle is 19π/4.
Coterminal angle - The angles in a standard position that have a common terminal side.
Then we have
[tex]\Rightarrow \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow \dfrac{3\pi}{4}[/tex]
More about the angled link is given below.
https://brainly.com/question/15767203
Answer:
A
Step-by-step explanation:
Props to the otha guy
How to find the area?
Answer:
63
Step-by-step explanation: