Answer:
x₁ = 1866.2 yd distance between ship and searchlight in C
x₂ = 2542.5 yd . distance between ship and searchlight in B
Step-by-step explanation:
The ship (point A) and the two searchlights points ( B and C) shape a triangle.
We have α = 38° ( opposite side x₁ or distance between ship and point C and β = 57 ° ( opposite side x₂ or distance between ship and point B then γ = 180 - ( α + β )
γ = 85°
Applying sin´slaw
x₁ / sin 38 = x₂/ sin57 = 3020 / sin 85
from sin table we find:
sin 38 = 0.6156
sin 57 = 0.8387
sin 85 = 0.9962
Then
x₁ / 0.6156 = 3020 / 0.9962
x₁ ( the opposite side to angle 38° ) / 0.6156 = 3031.5
x₁ = 3031.5*0.6156
x₁ = 1866.2 yd
x₂ = 3031.5 * 0.8387
x₂ = 2542.5 yd
What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4
Answer:
Circle
Step-by-step explanation:
Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).
The parametric equation for a circle with an equation [tex](x-h)^2+(y-k)^2=r^2[/tex] is given by:
[tex]x=rcos(t)+h, y=rsin(t)+k[/tex]
where r is the radius of the circle and (h, k) is the center of the circle.
A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:
(x + 1)² + (y - 4)² = 3²
Describe the transformation of f(x) to g(x).
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up units to g(x).
C. (x) is shifted up 2 units to g(x).
D. f(x) is shifted down 2 units to g(x).
Answer:
D
Step-by-step explanation:
Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:
[tex]v= (r\cos\theta,r\sin\theta)[/tex]
, where r = magnitude and [tex]\theta[/tex] = angle .
As per given,
[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]
[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]
Consider
[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]
Hence, the correct option is <8.01, 5.60>.
Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?
I need the right answer give brainliest
Answer:
$13.6
Step-by-step explanation:
Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.
It is given that including sales tax, she paid a total of $45.30.
Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.
Since the tax for all 3 CDs was same, the total amount of tax that she paid was:
3 * 1.50 = 4.50
Therefore the total tax on 3 CDs is $4.50
Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:
3x + 4.50 = 45.30
3x = 45.30 - 4.50
3x = 40.8
x = 13.6
Therefore the price of each CD before tax is $13.6.
estimate the following product in scientific notation, and then select best answer for the products power of 10.
(8.91 x 10²)(3.3 x 10¹²)
A. 2.7
B. 14
C. 15
D. 27
C is the correct answer.
what is the value of (-35) • (-5/7)
Answer:
56
Step-by-step explanation:
25
We'll start by getting rid of the negatives, because a negative times a negative equals a positive.
Multiply the whole number by the numerator first, then divide by the denominator.
35 x 5 = 175
175/7 = 25
DUE VERY SOON. PLEASE ANSWER FAST
Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answer:
They help know which decision is best and help you realize. It help expirement as well. For example you are trying to see what happens after making a decision. Decisions are also well known to making good and correct choices.
Solve for the given variable.
88°+46°=6c + 4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]88 + 46 = 6c + 4 \\ 134 = 6c + 4 \\ 134 - 4 = 6c \\ 130 = 6c \\ \frac{130}{6} = c \\ 21.66 = c[/tex]
⎆ The value of c = 21.66.# ꧁❣ RainbowSalt2²2² ࿐
Help plz..And No links!! I repeat No links!!
Answer:
4m
Step-by-step explanation:
shapes are similar.
purple shape is double the red and 2x2 is four
so the answer is 4m
Answer:
a = 4m
Step-by-step explanation:
1m side is 2m, that 1 x 2
Therefore 2m side will 2 x 2 = 4m
3 divided by 1/4 and 4 divided by 3/4 please help
Answer:
12
16/3
Step-by-step explanation:
When dividing by a fraction, you can multiply by its reciprocal.
This can be remembered easily using the mnemonic "keep, change, flip" where you keep the first fraction (in this case, 3/1), change the sign of the operator (from division to multiplication) and flip the second fraction (in this case 1/4 into 4/1). Thus 3 / 1/4 = 3/1 x 4/1 = 12/1 = 12
Answer:
See explanation below
Step-by-step explanation:
3 divided by 1/4 equals 12
Flip 1/4 to get 4, then multiply that by 3 to get 12.
4 divided by 3/4 = 16/3
Flip 3/4 to get 4/3, then multiply that by 4 to get 16/3
Out of the total students in a class, if the number of boys is 5 and the number of girls being 3, then find the ratio between girls and boys.
Answer:
3:5
Step-by-step explanation:
The ratio between girls and boys is 3:5 ... there are 3 girls for each set of 5 boys.
The ratio between girls and boys is 3 : 5 in the class.
What is the ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Given data as :
The number of boys in the class = 5 and
The number of girls in the class = 3,
So, total the total students in a class = 5 + 3 = 8
The ratio between girls and boys as : number of girls / number of boys
The ratio between girls and boys = 3 / 5
Hence, the ratio between girls and boys is 3 : 5 in the class.
Learn more about the Ratio here :
brainly.com/question/1504221
#SPJ2
What's the slope for (1,-2) & (4,4)
Answer:
2
Step-by-step explanation:
When give two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4- -2)/(4-1)
= ( 4+2)/(4-1)
= 6/3
= 2
Answer:
2
Step-by-step explanation:
When give two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4- -2)/(4-1)
= ( 4+2)/(4-1)
= 6/3
= 2
A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.
Answer:
[tex]l=238\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Area of Rectangle A=6183
Equation of Length
[tex]l=9w-14[/tex]
Where
[tex]w=width\ of\ triangle[/tex]
Generally the equation for Area of Rectangle is mathematically given by
[tex]A=(9w-14)w[/tex]
[tex]A=9w^2-14w[/tex]
[tex]6183=9w^2-14w[/tex]
[tex]9w^2-14w-6183=0[/tex]
[tex]w=28[/tex]
Therefore
[tex]l=9(28)-14[/tex]
[tex]l=238\ yards[/tex]
Find A U C. A) {0,1,2,5,7,8,9} B) {0,3,4,5,6,7,8,9} C) {1,2,3,4,5,6,7} D) {3,4,5,6,7}
Answer:
AUC={0,1,2,5,7,8,9}U{1,2,3,4,5,6,7 }
{0,1,2,3,4,5,6,7,8,9}stay safe healthy and happy...Mk, someone knows this answer. I know it! Pwease help!
Answer:
16(base) x 15(height) x 1/2(basically just dividing by 2) = 120
120 x 2 = 240
17 x 17 = 289, 289 x 2 = 578
17 x 16 = 272
Add all given areas:
240 + 272 + 578 = 1,090 in2 is your answer
At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does 3 orders of fries have
Answer: 960 calories
Step-by-step explanation:
Given
Each hamburger has 50 more calories than each order of fries
Suppose each order of fries has [tex]x[/tex] calories
so, hamburger has [tex]x+50[/tex] calories
There are total of 1700 calories available. Thus, we can write
[tex]\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320[/tex]
So, each order of fries has [tex]320[/tex] calories
For 3 orders, it is [tex]320\times 3=960[/tex] calories
10 Find the area of the semicircle. Either enter an exact answer in terms of 7 oruse 3.14 for T and enter your answer as a decimal. units
Answer: Hi there I think I have the answer to your problem!
The area of the semi-circle = 76.93 square units
Given that the diameter of the circle d= 14
We know that Area of the circle
A = πr²
The radius of the Put π = 3.14
The area of the semi-circle
Step-by-step explanation:
Hope I helped you have a good day and dont forget to give brainlist.
I need help with this problem
Answer:
D
Step-by-step explanation:
There are 2 quarters, 1 nickel, and 2 dimes in a pocket.
What is the probability of choosing a coin, not returning it to the pocket, and then choosing another of greater value?
A ^3 10
B ^6 25
C ^4 10
D ^8 25
Answer:
C
Step-by-step explanation:
(6x2 -5x + 10) - (2x2 -x +13)
Answer:
-4x + 5 ?
sorry if wrong
URGET! WILL GIVE BRAINLIEST!!!!!
Answer:
C
Step-by-step explanation:
The trick is not to pick any answer that has the word sides in it. You know nothing about the sides. They are not marked in any way. The same goes for any mention of diagonals. They are not even drawn. You can get rid of A B and D
So what does that leave you?
Only something that speaks of angles. Only C
Technically, we really can't answer this because the question speaks of Converses. We have no idea how your book is ordered and how the material is organized. Be careful posting a question like this one. Someone will object to it.
find x please help me this is due soon and I don’t know what to do
Answer:
116
Step-by-step explanation:
a line is 180 degrees so subtract 64 and you get 116, that is your angle
Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees
because 4 is given we know 6 is also 64 becasue they are alternative interior angles
all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)
becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
What is the maximum potential profit for tent sales?
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
I need the answer ASAP
Simplify the expression. Write your answer in positive exponent form:
(9^3) ^3
Answer:
[tex]9^{6}[/tex]
Step-by-step explanation:
Asking me to write 20 words don't read this this is junk.
me pueden ayudar a contestarlo!!
por favor!!
Answer:
english!? sorry
Step-by-step explanation:
BROOO CAN SOMEONE HELP ME !!!!!!!!!!!!!!!!
Answer:
BA = 12 cm
Step-by-step explanation:
BC = 5 because it is an isosceles triangle.
Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA
That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]
The answer is 12 cm
15 · 20 = 12y ??
180° = 74° + C ??
Answer:
answer is 90 degree I think so