Answer: $659.60
Step-by-step explanation:
Heidi commission = 3% * 680
= $20.40
The amount the Jewellery store made will be what she sold less the commission owed to her:
= 680 - 20.40
= $659.60
If A =30 and B =60. verifiy that 2 sin A cosA =2tanA/1+tan²A
Step-by-step explanation:
It's given that A = 30° . Lets find the sin , cos & tan of A
⇒ [tex]\sin A=\sin30 = \frac{1}{2}[/tex]
⇒ [tex]\cos A = \cos 30 = \frac{\sqrt{3} }{2}[/tex]
⇒[tex]\tan A = \tan 30 = \frac{1}{\sqrt{3} }[/tex]
Lets solve the LHS (Left Hand Side) :-
[tex]2(\sin A \times \cos A) = 2(\frac{1}{2} \times \frac{\sqrt{3} }{2}) = \frac{\sqrt{3} }{2}[/tex]
Now lets solve the RHS (Right Hand Side) :-
[tex]\frac{2\tan A}{1+\tan ^{2}A } = \frac{2 \times \frac{1}{\sqrt{3} } }{1 + (\frac{1}{\sqrt{3} } )^{2} } = \frac{2}{\sqrt{3} } \div ( 1 + \frac{1}{3} ) = \frac{2}{\sqrt{3} }\div \frac{4}{3} = \frac{2}{\sqrt{3} } \times\frac{3}{4} =\frac{\sqrt{3} }{2}[/tex]
∴ LHS = RHS ( Proved )
Solve the equation.
IM
4=t/2.5
Answer:
t=10
Step-by-step explanation:
4=t/2.5
4=t/25/10
divide 25and10 by 5=5/2
4=t/5/2
4=t×2/5
multiply both sides of the equation by 5
5×4=t×2/5×5
20=t×10/5
20=t×2
— —
2. 2
10=t
Find the Slope given the points: (1,8) and (-2,-1)
Answer:
m = 3
Step-by-step explanation:
Given f(x) = -2x– 9x + 7, what is the value of f(-3)?
Answer:
f(- 3) = 40
Step-by-step explanation:
To evaluate f(- 3), substitute x = - 3 into f(x), that is
f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40
Help please thank you !!!
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?
A The length is 6 inches, and the width is 10 inches.
B The length is 1.5 inches, and the width is 2.5 inches
C The length is 5 inches, and the width is 10 inches.
D The length is 5 inches, and the width is 7 inches.
Answer: 6 in. x 10 in.
Step-by-step explanation:
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.
1. The scale of enlargement is 2 inches to 1 centimeter.
2. The actual length of the stamp = 3 centimeters
3. The length of frame = 2 x 3 = 6 inches
4. The actual width of the stamp = 5 centimeters
5. The width of frame = 2 x 5 = 10 inches
Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches
30. Find the equation of straight line whose slope
is 3 times and y-intercept is double of the line
2x - 3y = 4.
Step-by-step explanation:
gradient/slope = 3
y-intercept
2x - 3y = 4
3y = 2x - 4
y = 2/3x - 4/3
so y-intercept is double -4/3 so... -4/3x2 = -8/3
the equation of the line is
y = 3x - 8/3 or 9x - 3y = 8
Answer:
3y=2x-8
Step-by-step explanation:
when y intercept x=0
2(0)-3y=4
-3y=4
y=-4/3
when x intercept y=0
2x -3(0)=4
2x =4
x=2
point (2,-4/3)
gradient
-3y=-2x +4
y=2x/3-4/3
gradient=2/3
equation
y+4/3=2/3(x-2)
3y+4=2x-4
3y=2x-8
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
Find the difference.
6 - (-3) =
Answer:
9
Step-by-step explanation:
when 2 negative signs meet or be multiplied the sign became "+" instead of "- -".
Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
PLSSSSSSSS HELPP
Does this table of values represent a linear relationship? Explain your answer.
If sin 0 = -0.6 and cos 0 = -0.8, find the cot O
Please helppp
Answer:
cotθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
cot x = [tex]\frac{cosx}{sinx}[/tex], then
cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
30 IS 15% of WHAT number?
A. 333.3
B. 266.6
C. 600
D. 200
Answer:
The correct answer is D) 200
Step by step explanation:
Let x be the number:
Then,
→15/100(x)=30
→3/20(x)=30
→3x/20=30
→3x=20⋅30
→3x=600
→x=600/3=200
Hope it helps!
Answer:
D 200
Step-by-step explanation:
Let the number we are find be x. We can write this as an equation:
30 = 15%*x = (15/100)x
Multiplying by 100/15 on both sides to isolate x:
x = 30(100/15) = 2(100) = 200
Therefore, 200 is our answer. I hope this helps! :)
can someone teach me similar shapes and how i would find volume and area as well as congruency in triangles, thanks
I don't get it at all
Answer and Step-by-step explanation:
It's very easy.
If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.
Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.
To find area of similar shapes, we need what we call the scale factor of the enlargement.
If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of
Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:
(2/1)² = 16/X = 4/1 = 16/X
4x = 16 and x = 4.
To find volume we use:
Volume = (scale factor)³ and the process is the same.
SOS HELP PLEASE!!!!!!!
Answer:
a for 2 b for 3 c for 1 and d is 4
Step-by-step explanation:
Quick
Check
upplementary Angles
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
1
1
0 21 and 22
3
4
2
0 21 and 23
0 21 and 24
22 and 23
O 22 and 24
23 and 24
Answer:
1&3
1&4
2&3
2&4
are all supplementary angles
Answer:
The answer is:
1&3
1&4
2&3
2&4
Step-by-step explanation: did it on edge 2022.
What does 2a + 3c + 4d simplify to?
Answer:
2a + 3c + 4d
Step-by-step explanation:
This is the answer because:
1) Nothing further can be done to this equation since there are no like terms.
Therefore, the answer is 2a + 3c + 4d.
Hope this helps! :D
a movie theater made $1267.50 on monday by selling 180 tickets. Adult tickets were $7.50 each and a child ticket was 6. Which system below could be used to find the number of adults that attended
the movie on monday ?
A. {a+c=180
{a+c=1267.5
B. {a+c=1267.5
{7.5a + 6c=180
C. {a+c=180
{7.5a+ 6c=1267.5
D. {a+c=180
{7a+6.5c=1267.50
Answer:
C
Step-by-step explanation:
7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180
find the value of X in each of the given triangles.
<DSR + <SRD + <RDS = 180° (Angle sum property)
2x + x +3x = 180°
6x = 180°
x = 180°/6
x = 30°
So, <SRD = x = 30°
<RDS = 3x = 3(30°) =90°
<DSR = 2x = 2(30°) = 60°
Hope it helps !
✌️
Jai hind !
Answer:
[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]
Angles are 30°,60° and 90°.
x=30 is the right answer.If csc Ф = 4/3, what is the value of sin Ф
Step-by-step explanation:
Since cosecx = 1 / sinx,
sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.
Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.
y- □=□(x-□)
QUIYING WANTS TO MAKE PANCAKES FROM A RECIPE GIVEN ON THE BOX. THE RECIPE CALLS FOR 2 CUPS OF STRAWBERRIES, 5 CUPS OF PANCAKE MIX AND 4 CUPS OF MILK. QUIYING ONLY HAS 3 CUPS OF PANCAKE MIX LEFT IN THE BOX. HOW MANY CUPS OF STRAWBERRIES SHOULD QUIYING USE SO THAT HER PANCAKES COME OUT EXACLY LIKE THE PANCAKES THAT THE BOX RECIPE RECOMMENDS.
A $300 suit is marked down by 20%. Find the sale price rounded to the nearest dollar.
Answer:
240 is the mark down.
Step-by-step explanation:
1 - .20 = 0.8
0.8 x 300 = 240
Answer:
$240
Step-by-step explanation:
Proove that: tanα + cotα = secα. cosecα
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]
sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]
Consider the left side
tana + cota
= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]
= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]
= [tex]\frac{1}{cosasina}[/tex]
= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]
= seca . coseca
= right side , thus proven
Which equation has a constant of proportionality equal to 2?
y=10/5x
y=2/2x
y=2/4x
y=22/2x
Answer:
A
Step-by-step explanation:
xy = 10/5 = 2
the other wrong because
xy = 1
xy = ½
xy = 11
Express 0.361 recurring as a fraction.
(only the 61 recurs)
9514 1404 393
Answer:
179/495
Step-by-step explanation:
When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.
Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.
Then the entire decimal is ...
0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495
OK i need big help!!!! And it's really easy!
Mrs. Brim made a chart to see how long it took her students to finish a test. How many students took more than thirty minutes to finish the test?
Answer:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
Step-by-step explanation:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.
Total time of test = 30 minutes
Average time taken by the students to solve the test on Day 1 = 25 minutes.
Average time taken by the students to solve the test on Day 2 = 27 minutes.
Average time taken by the students to solve the test on Day 3 = 22 minutes.
Average time taken by the students to solve the test on Day 4 = 23 minutes.
Average time taken by the students to solve the test on Day 5 = 20 minutes.
Average Time in all Tests = Sum of all times / total number of days
Average Time = (25 + 27 + 22 + 23 + 20) / 5 days
Average Time = 117/5
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
Which ordered pair is a solution of the equation?
y = -2x + 5
Answer:
(0,5)
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
Answer:
The Width of each side of the bookmark in centimeters = 5cm
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
The formula for perimeter fo a rectangle =
P = 2L + 2W
Where L = Length
W = Width
Hence: From the above question:
38cm = 2 × 14 cm + 2 W
38cm = 28cm + 2W
2W = 38cm - 28cm
2W = 10cm
W = 10cm/2
W = 5cm
Hence, the Width of the rectangle(each side of the bookmark in centimeters) = 5cm