Answer:
81.3 feet
Step-by-step explanation:
A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water is 19 degrees What is the distance between the boat and the shark?
We solve the above question using Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle of depression = 19°
Distance between the boat and the shark = Adjacent = ? = x
Opposite = 28 feet
Hence:
tan 19 = 28/x
Cross Multiply
tan 19 × x = 28
x = 28/tan 19
x = 81.317904575 feet
Approximately = 81.3 feet
The distance between the boat and the shark is 81.3 feet
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply
A 110 - 16 = 10h
B 110 = 16h + 10
C 16 = 110 - h
D 110 = 16 + 10h
E 110 + 16 = 10h
Answer:
Option A and D
Hope this helps!
Answer:
D
Step-by-step explanation:
16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.
What is the surface area of the image below?
If I could have help with this that would be great :) i’ve been working on it for about an hour.
In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
someone help me please.
Find the missing side round your answer to the nearest tenth
Answer:
x ≈ 14.7
Step-by-step explanation:
Assuming the triangle is right then use Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 15² = 21²
x² + 225 = 441 ( subtract 225 from both sides )
x² = 216 ( take the square root of both sides )
x = [tex]\sqrt{216}[/tex] ≈ 14.7 ( to the nearest tenth )
What set of numbers CANNOT represent the lengths of the sides of a triangle?
A. 6, 8, 11
B. 9, 12, 19
C. 7, 5, 6
D. 7, 18, 11
Answer:
D
Step-by-step explanation:
Since 7 + 11 is = 18, these cannot be the sides of a triangle
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
pls help! right answer = gets brainiest! :))
Answer:
3
Step-by-step explanation:
The answer is Option One
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
What is the area of the trapezoid?
Answer:
26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26
Answer:
Step-by-step explanation:
(5+8)/2 = 13/2 = 6.5
6.5*4 = 26m²
The formula for the area of a trapezoid is the same as a trapezium :
(a+b)/2 *h = Area
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
B
10.5
Amy scored a 80% on her
Spanish test. If she got 60
questions correct, what were
the total number of questions
on the test?
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
A grocery store chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper
Answer:
Step-by-step explanation:
pls hurry will give brainlyest or whatever !!!
Which coordinate rule matches this description? Dilation of original by 5.
(5x, y)
(x+5, y+5)
(5x, 5y)
(x, 5y)
Answer:
D (x,5y)
Step-by-step explanation:
Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?
Answer:
50 percent
Step-by-step explanation:
24 college students were hired as ushers for a concert. This is 30% of the students who applied for the job. How many college students applied to be ushers
Answer:
80 students applied
Explanation:
24 ÷ 30 × 100
= 0.8 × 100
= 80
i hope this helps! :D do comment if you need any clarification.
Answer:
80 students
Step-by-step explanation:
if 30%=24
100%=?
100%/30%*24
=80
You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=
Answer:
x = 49Step-by-step explanation:
Fins the similar diagram attached;
The sum of the angles is 180 degree since they lie on the same straight line. Hence;
3x - 13 + x - 3 = 180
Collect the like terms;
3x+x -13 - 3 = 180
4x - 16 = 180
4x = 180 + 16
4x = 196
x = 196/4
x = 49
Hence the value of x is 49
Note that the values in question is different from that of diagram but the diagram is similar to what we need
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
PLEASEEEE HELPPPPPP!!!!
Answer:
Step-by-step explanation:
LOL even I dont know
A river 3m deep and 40 m wide is flowing at the rate 2km /h . how much water will fall into the sea in a minute.
Answer:
Area of river = depth × width
=3×40
[tex] = 120 {m}^{2} [/tex]
amount of water that falls into the sea ⇒
Area of river × flow rate
[tex]120 {m}^{2} \times 2 \: \frac{km}{hr} [/tex]
[tex]120 \times \frac{2 \times 1000 {m}^{2} }{(60)min} [/tex]
[tex]4000 \: \frac{ {m}^{3} }{min} [/tex]
:. [tex] {4000m}^{3} [/tex] of water falls into the sea per min.
So, [tex] {4000m}^{3} [/tex]
= 4000 × 1000 litres
= 4000000 litres
So, in 1 minute, water will fall into the sea is 4000000 litres.
Step-by-step explanation:
Hope it is helpful....
Can some one plz help me
Answer:
A is the answer
Step-by-step explanation:
6 times 3.14 is 18.84
Given,
Diameter of circle = 6 in.
As we know that radius is half of diameter.
Radius = 6 × 1/2 = 3 inches
Now,
[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]
[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]
[tex] = \dfrac{44}{7} \times 3[/tex]
[tex] = \dfrac{132}{7} [/tex]
[tex] = 18.84\: in.[/tex]
Hence,option ( a ) is correct.
can I add a photo here because I don't know how to ask a question in math
Answer:
you add a photo by pressing the link button at the bottom and choosing which picture you want
A pizza shop has available toppings of anchovies, mushrooms, peppers, onions, olives, bacon, pepperoni and sausage. How many different ways can a pizza be made with 4 toppings?
Answer:
5
Step-by-step explanation:
just did it
Answer: 70
Step-by-step explanation:delta marh told me
Alan invests a total of $16,500 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1,425. How much did he invest in each way?
Answer:
>> $9000 invested in mutual fund
>> $3000 invested in government bond
>> $4500 put in the bank
Step-by-step explanation:
Let us denote the money invested in each case by a letter. Thus;
a = the money that he invested in a mutual fund
b = the money that he invested in a government bond
c = the money that he put in the bank
We are told that he invested a total of $16,500. Thus;
a + b + c = 16500 - - - (eq 1)
He invested twice as much in the mutual fund as he did in the bank. Thus;
a = 2c - - - (eq 2)
From the percentage given and the return of $1,425 from the first year investments, we have;
0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)
Let's put 2c for a in eq (1) and eq (3)
Thus;
2c + b + c = 16500
b + 3c = 16500 - - - (eq 4)
Also,
0.11(2c) + 0.07b + 0.05c = 1425
0.07b + 0.27c = 1425 - - - (eq 5)
From eq 4, b = 16500 - 3c
Putting this in eq(5) gives;
0.07(16500 - 3c) + 0.27c = 1425
1155 - 0.21c + 0.27c = 1425
0.06c = 1425 - 1155
0.06c = 270
c = 270/0.06
c = $4500
b = 16500 - 3(4500)
b = 16500 - 13500
b = $3000
Since a = 2c, then;
a = 2(4500)
a = $9000