1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the house to the nearest tenth


2. A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15^c irc. Find the distance the bird must fly to be directly above the fish. Round to the nearest tenth

Please help me as soon as possible! I have to get this done before tomorrow! Please helpppp

Answers

Answer 1

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

[tex]\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)[/tex]

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

[tex]\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)[/tex]

The distance the bird must fly to be directly above the fish is 7.5 feet.

1. A Point On The Ground Is 50 Feet From My House. The Angle Of Elevation To The Top Of The House Is

Related Questions

Aubreys kitchen countertop is 2/3 meter by 3 4/5 meters she solves 2/3 multiply 3 4/5 to find the area of the countertop in square meters. Enter numers to conplete aubreys calculations for the area

Answers

Answer:

[tex]2\frac{8}{15}[/tex] or  2.5333

Step-by-step explanation:

Just multiply the numbers. please mark brainliest

what is a triangular prism? Guy please answer this question it's me ?

Answers

Answer:

A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.

Step-by-step explanation:

i hope this will help you

Answer:

A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.

please see the attached picture.

hope this helps..

Good luck on your assignment..

Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!

Answers

Answer:

The above statement is written as

[tex] \frac{22}{100} \times b[/tex]

Hope this helps you

Which statement describes a process to solve _/b+20 - _/D=5?
Add a radical term to both sides and square both sides only once.
O Add a constant term to both sides and square both sides only once.
O Add a radical term to both sides and square both sides twice.
O Add a constant term to both sides and square both sides twice.

Answers

Answer:

d

Step-by-step explanation:

double check your answer

Answer:

  C.  Add a radical term to both sides and square both sides twice

Step-by-step explanation:

We suppose you want to solve ...

  [tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]

__

We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.

The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.

A construction company covered 3\8 of a road which is 10km long with asphalt in the first week and covered 7\18of the road in the second week with asphalt. what length of the road remained to be covered with asphalt?​

Answers

Answer:

2.36 km

Step-by-step explanation:

First they covered 3/8 of the road, so in figures that is;

= [tex]\frac{3}{8} * 10km[/tex]

=3.75 km

The second week they covered 7/18 of the road which is;

= [tex]\frac{7}{18} * 10km[/tex]

= 3.89 km

If we combine the two distances, we get;

= 3.75 km + 3.89 km

= 7.64 km

Subtract this from the total distance and you get

= 10 km - 7.64 km

= 2.36 km

Which means 2.36 km of the road is left to be covered with asphalt.

.Solve for x 5 x − 1 = 6 x − 9

Answers

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides

-1 = x - 9

Step 2: Add 9 to both sides

x = 8


X=8 is the correct answer

Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her card and no late fees were charged how long will it take her debt to double?

Answers

Answer:

it would take about 4.2 years for her debt to double.

Step-by-step explanation:

With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:

[tex]A(t)=3000\,(1+0.18)^t[/tex]

now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:

[tex]A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years[/tex]

which we can round to approximately 4.2 years

the mean of five numbers is 8. when another number is added the mean is 7. find the number added

Answers

Answer:

[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]

When another number is added the mean is 7, let s note x the another number we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]

From the first equation we can say

[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]

So the second equation becomes

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]

The solution is then 2

Hope this helps

The length of a rectangle is twice it’s breadth. if the perimeter is 72 meters, find the length and breadth of the rectangle

Answers

Perimeter of a rectangle = 2l + 2b

where

l = length

b = breadth

The length is twice it's breadth which is written as

l = 2b

Perimeter = 2(2b) + 2b

72 = 4b + 2b

72= 6b

Divide both sides by 6

b = 12 meters

Since l = 2b

l = 2(12) = 24 meters

The length of the rectangle is 24 meters and it's breadth is 12 meters

Hope this helps

Answer:

If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.

Step-by-step explanation:

I will make you a brainllest I need help :)

Answers

Answer:

32

Step-by-step explanation:

Lets work it out.

First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32

Find the value.
X3+ X2 when x=-2

PLEASE HELP!!! ASAP!!!

Answers

Answer:

-4

Step-by-step explanation:

(-2)^2 + (-2)^3

this is right if the 2 and 3 are exponents

Answer:

-4

Step-by-step explanation:

Substitute the value of x:

-8+4 = -4

Plz mark me brainliest!!

Please answer this question now in two minutes

Answers

Answer:

u+43°=u_3°+u+3° (by exterior angle theorem)

u+43°= 2u

or, 2u_u=43°

or, u= 43°

is the value of u.....

Simple and easy question
please help

Answers

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = [tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

[tex]V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}[/tex]

V = [tex]3 \frac{3}{4}[/tex]

Hope this helps :)

La longitud de un rectángulo mide 3m mas que el doble de su ancho del rectángulo, escribe un polinomio que represente el perímetro del rectángulo y simplifica el polígono correspondiente.

Answers

Answer:

Step-by-step explanation:

El ancho es x, el largo es x+3

El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6

El polinomio sería: P(x)=4x+6

I also got stuck on this one.

Answers

Answer:

8 questions.

Step-by-step explanation:

100 - 2x = 84

-2x + 100 = 84

-x + 50 = 42

x - 50 = -42

x = 8

Trevor answered 8 questions incorrectly.

Hope this helps!

Answer:

8

8Step-by-step explanation:

100-2x=84

subtract 84 from both sides

16-2x=0

add 2x to both sides

16=2x

divide both by 2 to get x

x=8

hope this helped

50. Write the fraction or mixed number as a
decimal. Then tell whether the decimal is a
terminating decimal or repeating decimal.
23
33​

Answers

Answer:

0.69, repeating

Step-by-step explanation:

23/33 =0.69

repeating

Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.

Answers

Given that,

Speed of first bicycle = 9 mph

Speed of second bicycle = 5 mph

Suppose the length of the circle 24 miles.

We need to find the relative velocity

Using formula of relative velocity

[tex]v=v_{1}-v_{2}[/tex]

Put the value into the formula

[tex]v=9-5[/tex]

[tex]v=4\ mph[/tex]

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

[tex]t=\dfrac{24}{4}[/tex]

[tex]t=6\ hr[/tex]

We need to calculate the distance of the points where the two bicycles meet

Using formula of distance

For first bicycles,

[tex]d=9\times6[/tex]

[tex]d=54\ miles[/tex]

For second bicycles,

[tex]d'=5\times6[/tex]

[tex]d'=30\ miles[/tex]

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

HELP!!!! Urgent!!! I'm stuck here.

Answers

Answer:

Mean = 25

Median = 23

Mode = 33

Step-by-step Explanation:

First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:

15, 18, 18, 19,

22, 23, 25,

31, 33, 33, 33

=>Mean = sum of all values ÷ no of values

= (15+18+18+19+22+23+25+31+33,+33+33)/11

= 270/11 ≈ 25 (to the nearest whole number)

=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23

15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33

=>Mode is the most occured value = 33

Hi can you help me with this please

Answers

Answer:

x=13 degrees

Step-by-step explanation:

Supplementary angles: 180 degrees.

180-98=82

Vertical angles: congruent

Corresponding angles: congruent

We have 2 angles of the triangle, so we can find the third. (Angles in a triangle add to 180 degrees)

x=13

find the area of the blue sector. leave your answer in terms of pie​ please I need help NOW

Answers

Answer:

60

Step-by-step explanation:

Answer:

[tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π

I NEED HELP ASAP PLEASE!

Answers

Answer:

The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.

A box contains 6 blue balls, 4 black balls and 5 red balls at the same size . A ball is selected at random from the box and then replaced . A second ball is then selected. Find the probability of obtaining ; (i) two red balls ; (ii) two blue balls or two black balls ; (iii) one black ball and one red balls.​

Answers

Answer:

(i) 1/21

(ii) 1/10

(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.

Step-by-step explanation:

(i) Two red balls:

To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:

15(14) = 210

Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.

5 choose 2 = 5(4)/2! = 10

Our numerator is 10. Therefore, our probability is 10/210 = 1/21.

(ii) Two blue balls or two black balls:

To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)

So, let's calculate the probability of getting a blue ball first:

Blue:

We use the same denominator as before: 210.

Our numerator is now 6 choose 2, which is:

6 choose 2 = 6(5)/2! = 15.

Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.

Black:

Same steps: denominator is 210, but the numerator is 4 choose 2.

Solving 4 choose 2:

4 choose 2 = 4(3)/2! = 6.

Our numberator is 6.

But, we cant forget to add them!

(15 + 6)/210 is 21/210, which is 1/10.

(iii) I'll let you try this one by yourself. Here is a hint:

Solve for the probability of chooseing a black ball and a red ball. Then, multiply.

Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)

Fifteen women can weed a piece of land in

12 days. How many more women will be

required to clear the same land in10 days​

Answers

Answer:

Brainliest please

Step-by-step explanation:

15 women= 12days

find 10 days,

12÷10×15= 18women in ten days

how many more women, subtract 18 women and 15 women

=3 is the answer

PLEASE help me with this!! I need help!

Answers

Answer:

∠ BDG = 148°

Step-by-step explanation:

The tangent- chord angle BDG is half the measure of its intercepted arc DCG

The 2 arcs in the circle sum to 360°, thus

arc DCG = 360° - arc DG = 360° - 64° = 296° , thus

∠ BDG = 0.5 × 296° = 148°

HELPPPP. SOMEONE HELP PLEASE

Answers

Answer:

a) Domain: All real numbers

b) Domain: -4<x<=4

a) Range: All real numbers greater than 2

b) Range: 0<=y<=4

Step-by-step explanation:

Domain is the possible x values

Range is the possible y values

Open circle means not included

Close circle means included

Answer: a) Domain: x = (-∞, ∞)              b) Domain x = (-4, 4]

                  Range y = [2, ∞)                        Range y = [0, 4]

Step-by-step explanation:

Domain represents the x-values. Range represents the y-values.

a) the graph doesn't end so every x-value is possible

  x = All Real Numbers       x = (-∞, ∞)

The lowest y-value (minimum) is at y = 2.  All other y-values are greater than that. y ≥ 2      y = [2, ∞)

b) The graph starts at x = -4 with an open dot so it doesn't include -4.  It ends at x = +4 with a closed dot so it does include +4.

     -4 < x ≤ 4           x = (-4, 4]

The lowest y-value (minimum) is at y = 0.  All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4      y = [0, 4]

school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)

Answers

Answer:

12 adults and 4 kids were there that the fair

Step-by-step explanation:

rectangle ABCD and DEFG are similar. if AB is 6, DE is 15, DG is 21, what is the length of AD, rounded to the nearest tenth?

Answers

Answer:

Length of AD is 8.4 units.

Step-by-step explanation:

Given that:

There are two similar rectangles ABCD and DEFG.

AB = 6 units

DE = 15 units

DG = 21 units

To find:

AD = ?

Solution:

Please refer to the attached image for having a look at the two given rectangles.

First of all, let us learn about the similar rectangles.

If two rectangles are similar, then the ratio of their corresponding sides are always equal.

i.e.

[tex]\dfrac{AB}{AD} = \dfrac{DE}{DG}[/tex]

Putting values of AB, DE and DG to find out AD:

[tex]\dfrac{6}{AD} = \dfrac{15}{21}\\\Rightarrow \dfrac{6}{AD} = \dfrac{5}{7}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{7\times 6}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{42}\\\Rightarrow AD = \dfrac{42}{5}\\\Rightarrow AD = 8.4\ units[/tex]

So, value of AD is 8.4 units.

A fair 6-sided die numbered 1 to 6 is rolled once. Find the probability that the number obtained is either even or a prime number. Define the event ME or MNE. If you can help me, I would be so thankful.

Answers

the answer is 6, mne

g(n)=80×(3/4)^n
complete the recursive formula of g(n)
g(1)=
g(n)= g(n-1) ×

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]g(n)=80*(\dfrac{3}{4})^n \ So\\g(1)=80*\dfrac{3}{4}=20*3=60 \\\\ and \\\\\dfrac{g(n)}{g(n-1)}=\dfrac{80*(\dfrac{3}{4})^n}{80*(\dfrac{3}{4})^{n-1}}=\dfrac{3}{4} \ so \\\\g(n)=g(n-1)*\dfrac{3}{4}[/tex]

do not hesitate if you have any question

11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot

Answers

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

The answer is 1,810 sq ft!
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