Answer:
3200
Step-by-step explanation:
5% of 2000 = 100
100 x 12 = 1200
2000 + 1200
= 3200
A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What bearing should be taken?
Answer:
N58°W
Step-by-step explanation:
The trigonometry diagram has been attached below :
To obtain the angle θ ;
Tan θ = opposite / Adjacent
Tan θ = 40 / 25
Tan θ = 1.6
θ = tan^-1(1.6)
θ = 57.99°
Henve, bearing directly to Port is :
N58°W
Caroline can buy 7 yd of ribbon for $4.
Use this information to determine what number belongs in the red box.
Answer:
4
Step-by-step explanation:
if 4 $ is what it cost for 7yds than under seven yds (where) the red box is needs how much 7 costs
what is the value of the fourth term in a geometric sequence for which a1=30 and r=1/2
Answer:
a(4) = 15/4
Step-by-step explanation:
The general formula for a geometric series with common ratio r and first term a(1) is
a(n) = a(1)*r^(n - 1)
and so, if a(1) = 30 and r = 1/2, we have
a(n) = 30*(1/2)^(n - 1)
and the fourth term is then:
a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4
two spheres have a scale factor of 3:2 what is the ratio of the diameters of the spheres? 
9:4
13:12
27:8
3:2
9514 1404 393
Answer:
(d) 3:2
Step-by-step explanation:
Usually, when we say two objects are related by a scale factor, we are talking about the linear dimensions of the objects. Here, we're concerned with the ratio of diameters. The diameter is a linear dimension of the sphere, so the ratio of diameters is the same as the scale factor:
3:2
ʄɨռɖ tɦɛ ʋaʟʊɛ օʄ 7x?
2
Answer:
7x when x=2=7×2=14 is your answer
Write the expression with fewer terms: 10x - 3 - 2x - 5
Answer:
8x-8
Step-by-step explanation:
10x-2x=8x
-3-5=-8
A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (ai+8j)
and the tension in string BP is (6i+bj)
The value of a is?
And the value of b is?
The magnitude of the tension in string AP is?
The angle that string BP makes with the vertical is?
Give your answers as exact whole numbers or as decimals to 3 s.f.
Answer:
i. a = -6 ii. b = 12 iii. 100 iv. 26.6°
Step-by-step explanation:
Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j
So, since AP = ai + 8j and BP = 6i + bj,
AP + BP = -20j
ai + 8j + 6i + bj = -20j
ai + 6i + 8j + bj = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
equating the components on both sids,
a + 6 = 0 and 8 + b = 20
a = -6 and b = 20 - 8 = 12
i. The value of a is -6
ii. The value of b is 12
iii. The magnitude of the tension in string AP is?
since AP = ai + 8j = -6i + 8j
magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10
iv. The angle that string BP makes with the vertical is?
Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f
1) The values of a and b of the given vectors are respectively; -6 and 12
2) The magnitude of the tension in string AP is; 10
3) The angle that string BP makes with the vertical is; 26.6°
What is the magnitude of the tension?
We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.
By equilibrium;
AP + BP = -20j
1) We are given the tension vectors;
AP = ai + 8j and BP = 6i + bj,
Thus;
ai + 8j + 6i + bj = -20j
(ai + 6i) + (8j + bj) = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
Equating the components of both sides gives;
a + 6 = 0 and 8 + b = 20
Solving gives;
a = -6 and b = 20 - 8 = 12
Thus, the values of a and b are -6 and 12
2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;
AP = ai + 8j = -6i + 8j
Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10
3) The angle that string BP makes with the vertical is gotten from;
BP = 6i + bj = 6i + 12j
Thus, the angle it makes with the horizontal;
θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°
Read more about Magnitude of Tension at; https://brainly.com/question/13370981
Simplify each ratio. Remember to include the UNITS in your final answer.
1) 10 bags to 15 coats
2) 16 apples to 40 oranges
Answer:
2:3
2:5
Step-by-step explanation:
10:15
divide both sides by 5 or gcf
2:3
16:40
divide both sides by 8 or gcf
2:5
Help me please with math
Answer:
d. 2x³y + 12x²y² + 18xy³
Step-by-step explanation:
Volume = l x b x h
= 2xy × x + 3y × x + 3y
= 2xy × (x + 3y)²
= 2xy × (x² + 6xy + 9y²)
= 2x³y + 12x²y² + 18xy³
Please help me with the questions please ASAP
Answer:
x = 39
Step-by-step explanation:
In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:
AE = 12, EB = x - 3
AD = 6, DC = 18
Now, you need to find the scale factor by dividing 18 by 6:
18 ÷ 6 = 3
So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:
12 × 3 = x - 3 (given)
36 = x - 3 (simplify)
x = 39 (add 3 to both sides)
So x = 39.
x is greater than 15 Question 7 options: x>15 x<15 x≥15 x≤15 please nowwwww
Answer:
x>15
Step-by-step explanation:
it eats the bigger number
EASY 100 POINTS!
The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.
a) Without doing any calculations, which event is more likely? Explain.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.
b) The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated? Explain.
c) Calculate the probability of the event that you selected in part (b).
Answer:
A
Step-by-step explanation:
What is the equation from this graph?
If Fx) = 7x-6, which of the following is the inverse of Ax)?
O A. F'(x) = **?
0 B. F'(x) =
C. F'(x) = **
O D. F'(x) = *7
Answer:
It's C
Step-by-step explanation:
Write f(x)=7x−6f(x)=7x-6 as an equation.
Interchange the variables.
Solve for y.
An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer: $36 is discounted from the regular price
Step-by-step explanation:
First, we need to take our given numbers
Originally $90
On sale for %40
Let's now use this equation
90(n)
n will equal 0.40 due to it being %40 off
90(0.40)
$36
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answer:
Step-by-step explanation:
Can anyone help me with this?
Answer:
I think your answer is a
Step-by-step explanation:
What is the volume of the pyramid
Hey There! Not sure what pyramid you're talking about But I can help you by explaining how to solve the volume of a pyramid. The Formula of a pyramid is 1/3 x base area x height. So, you can multiply 1/3 or 0.33333333 (Decimal version of 1/3) by the base than multiply it with the Height. Hope this helps! Also, perhaps next time put what pyramid you are talking about!
If HBN-LYR Find the value of x
Answer:
8 have a great day hope this helped
a shopkeeper sold an article for 450 at a loss 10% at what price should he sell it as to gain 10%?
Answer:
The correct answer is "550". A further explanation is given below.
Step-by-step explanation:
The given values are:
Selling price,
= 450
Loss,
= 10%
Profit,
= 10%
As we know,
⇒ [tex]CP=\frac{100}{100-Loss \ percent}\times SP[/tex]
On substituting the values, we get
⇒ [tex]=\frac{100}{100-10}\times 450[/tex]
⇒ [tex]=\frac{100}{90}\times 450[/tex]
⇒ [tex]=500[/tex]
⇒ [tex]Profit=500\times \frac{10}{100}[/tex]
⇒ [tex]=50[/tex]
Now,
Selling price on 10% profit will be:
⇒ [tex]SP=CP+profit[/tex]
On substituting the values, we get
⇒ [tex]=500+50[/tex]
⇒ [tex]=Rs. \ 550[/tex]
Find the premiemter of the poly gon shown.pls help pls
Answer:
?
Step-by-step explanation:
Answer:
to find the perimeter of a polygon you just do "a regular polygon with n n sides and the length of one side s s: P = n × s P = n × s "
Step-by-step explanation:
How do I know that these are not a function?
0,-1
2,3
0,4
2,5
0,6
2,7
Answer:
there are multiple 0's in the same area, and multiple 2's.
Step-by-step explanation:
please help will mark right answer brianlyist
Answer:
y=5/4x+10
Have a nice day.
Answer:
5/4x + 10
Step-by-step explanation:
If it's parallel, the slope will remain the same.
To find the y-intercept, you have to plug in the coordinates into the equation which is, y = 5/4x + b.
y = 5/4x + b
0 = 5/4 (-8) + b
0 = -10 + b
10 = b
The equation is 5/4x + 10.
PLEASE HELP MEEE I NEED HELP PLEASE
Write a mathematical sentence that expresses the information given below. Use p as your variable name.
If necessary: type < = to mean < or > = to mean
. A football team had 52 players at the start of the season, but then some players left the team. After that, the team had 43 players.
Answer:
[tex]52-p<43[/tex]
Step-by-step explanation:
There was a total of 52 players but then some left the team. Since we don't know how many left, we use a variable. Left indicates subtraction, so the equation would be 52 - p.
However we still have the last sentence of the information. Since 43 players remain and we don't know how many players left, I put the '<' sign.
Thus, my answer was: [tex]52-p<43[/tex]
Kayla makes $8.30 an hour working at a clothing store. She is scheduled to get a 15% raise. Which expression can be used to calculate Kayla's new pay rate, while clearly showing the increase in her hourly rate?
Answer: her increase is 1.245 dollars an hour
Step-by-step explanation:
Write as a decimal: 1%
Answer:
0.01
Step-by-step explanation:
0.01×100=1
hope this helps
Answer:
0.01
Step-by-step explanation:
0.01 is the same as 1/100, and 1% is also the same as 1/100
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
f(x) = -3(x – 8)(x + 2)
f(x) = -3(X + 8)(x - 2)
f(x) = 3(x-8)(x + 2)
O f(x) = 3(X + 8)(- 2)
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
90.25π
Step-by-step explanation:
The circumference of circle is 2πr, or in other words the diameter times π.
The area of a circle is πr^2.
19π is the circumference of this circle.
So, 19 is the diameter, and 9.5 the radius.
The area if (9.5^2)π.
9.5^2=90.25
So, in terms of π, the area of the circle is 90.25π.
what is 184.26 in standard form
Find the equation of the line use exact equation khan academy . This is the last question and it’s due soon 20 points
Answer:
y= -1/3x-6
Step-by-step explanation:
The slope is rise over run
The y-intercept is the point where the line crosses the y-axis.
If this helped please consider giving brainliest.
Answer: y=.25x-6
Step-by-step explanation: find the slope with [tex]m=\frac{y2-y1}{x2-x1}[/tex] and make it [tex]m=\frac{-6+7}{0-4} =1/4[/tex] or .25
then, convert to y=mx+b form which would be [tex]y=\frac{1}{4}x-6[/tex] or [tex]y=.25x-6[/tex]
b standing for y intercept and m standing for slope.