4. Marcy plans to save $3 in January, 54 in February, S6 in March, and $9 in April. If she continues this pattern, how much money will she save in December?​

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

Learn more about Heights and Distances at

https://brainly.com/question/14361606

#SPJ2

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Answer:

I believe you're right good luck

Simple mathematics.

2+3 1/10==5 1/10-4==1 1/10 -9 == -8 1/10 == -8.1

-10-4 1/2== -14 1/2 +2 +9 == -3 1/2 == -3.5

Answer:

C.

yes; y = 1.8x

Step-by-step explanation:

Answer for the question :

Yes, Y varies directly with X, and the equation is :

Y = 1.8X

NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.  

Y = 1.8 x X

5.4 = 1.8 x 3

12.6 = 1.8 x 7

21.6 = 1.8 x 12   (Q.E.D.)

That’s the answer, good luck in solving the question!

:-)

ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc

The linear equation is given as y = 1.8x, Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table is given below.

x         y

3      5.4

7      12.6

12     21.6

Then the linear equation is given as,

[tex]\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)[/tex]

Simplify the equation, then we have

y - 5.4 = 1.8(x - 3)

y - 5.4 = 1.8x - 5.4

y = 1.8x

The linear equation is given as y = 1.8x, Then the correct option is C.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

Answer:

17.5

Step-by-step explanation:

90% sure

The correct answer is:

D. ∠FGE≅∠NMP

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).  

This means since EFG is congruent to HJK, then HJK is congruent to EFG.

Answer: It will be 0.75x+10.5

Step-by-step explanation:

Because if we were to do 12.75-10.5, we get 2.25, 2.25/0.75=3, it matches Carrie's pizza's amount of toppings, same with Brad. Goodluck on your DLA as you are on Aware Testing for Cinco, I won't tell you the school name because I don't want stalkers to track us down.

Answer:

x > 15

Step-by-step explanation:

Try to get x on a side by itself...

3x - 42 > 3

3x > 45

x > 15

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

Answer:

5.25 or 5 and 1/4

Step-by-step explanation:

7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.

Answer:

C

Step-by-step explanation:

the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C

Hope this helps you :)

Answer:

Step-by-step explanation:

6x+4=52

    -4   -4

6x/6=48/6

x=8

Answer:

-4 -4

6x=48

Explanation

Answer:

is there a picture of the figure?

Step-by-step explanation:

maybe 98 is an answer.

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

y=mx+c

for 1st

not satisfied.

for

2nd

not satisfied

3rd

3rd satisfied

4th

[note : substitute value of x to get value of y from table]

so

third table represents a linear function.

Answer:

The third option is the answer

Step-by-step explanation:

its like the only one which fits the question

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

Answer:

180

Step-by-step explanation:

6(5)(3)(2) = 180

Answer:

so first you would find out the whole equation after you plug in x and it would be

y=8-6

y=2

so the answer is A. 2

The value of y is 2.

The correct option is (A).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equation is: y = 8 – 2x.

So, when x=3

y= 8-2*3

 =8-6

 = 2.

Hence, the answer is A. 2

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

3(4+n)

Step-by-step explanation:

3(4+n)=12+3n

Answer:

d. 130

Step-by-step explanation:

Answer:

Step-by-step explanation:

area=base(one side )×h

[tex]\frac{h}{44} =sin 97\\h=44 ~ sin~ 97\\area=50 \times~44~sin~97 \approx 2183.60~sq. ~ft.[/tex]

Answer:

if your asking what do you have to add to negative 4 to get 16then you add 20 or if your asking what to add to get -4 I will need more info message me or comment

Answer:

Step-by-step explanation:

Answer:

Its A and D

Step-by-step explanation:

Trust me ;)

Answer:

x=7

Step-by-step explanation:

a triangles Angel's should add up to 180 all together

So, 71+64=135

180-135= 45

now that you have found the missing angle, you need to find x.

set the equation equal to 45:

8x-11=45

now solve:

8x-11 =45

add 11 to both sides to cancel out the negative 11 and try to get x alone:

8x=56

divide 8x by 8 and 56 by 8 to get x alone:

x=7

Answer:

$96

Step-by-step explanation:

 [tex]f(x)= a(1-r)^x[/tex]

a= initial amount

x= time in years

r= decay rate

[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈

[tex]f(x)= 96[/tex]

Answer:

3 1/15

Step-by-step explanation:

Product means multiply