Lisa wants to measure the height of a tree. She walks exactly 50 feet from the base of the tree and looks
up. The angle from the ground to the top of the tree is 72°. How tall is the tree?

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

I hope this helps- i need to write words so here this lol yep yep have a nice day- :)

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

Using the equation of ellipse, the height of the logo is 7.6cm

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

Learn more on equation of ellipse here;

https://brainly.com/question/30995389

#SPJ1

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ7

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

https://brainly.com/question/7872492

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer: 25,125,625

Step-by-step explanation:

edg 2

Answer:

x = 50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

180 - 75 = 105

2x + 5 = 105

now I subtracted both sides by 5

2x = 100

divide both sides by 2:

x = 100/2

x = 50

Have a nice day!

Answer:

27/36

Step-by-step explanation:

25 + 2 = 27

total = 36

Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

Answer:

The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

Answer: It’s C. 450.5 miles

Step-by-step explanation:

You need to first subtract 14.95 from 60. You will get 45.05. Then you have to divide by 0.1 to figure out how many miles Nichole can go. So Nichole can go 450.5 miles

Answer:

the answer is c

Step-by-step explanation:

multiply .10 x 450.5 + 14.95 and boom you get sixty dollars

Answer:

Graph A is correct

Step-by-step explanation:

The line intersects 45 x and 3 y

Answer:

Graph A! :-)

Step-by-step explanation:

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

Step-by-step explanation:

the equation :

Hn = 7n + 3

where :

Hn : the height of trees at year to-n

n : year to-n (n = 1,2,3,...)

so, the rate of change : increasing 7 feet per year.

The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

The rate of change also refers to the slope.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁).

Taking two points (1,10) and (3,24)

Slope associated with these;

(24-10)/(3-1) = 7

Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ2

Answer:

8/10 or simplified will be 4/5

Step-by-step explanation:

Since there are 8 black balls and 10 balls in total, this is the probability

The probability of picking one black ball without looking is, 4/5.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, There are eight black balls and two white balls in a bag.

So, N(B) = 8 and N(W) = 2.

The sample space N(S) = 8 + 2  10.

Therefore, The likelihood of randomly selecting one black ball is,

P(B) = N(B)/N(S).

P(B) = 8/10.

P(B) = 4/5.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Answer:

i think thAt it is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82

2. since the other angle is inscribed you would double you answer to get 164

Answer:

KL = 5.3

Step-by-step explanation:

Base on proportionality theorem, we have the following equation showing the relationship between the segments:

4/6 = KL/8

Cross multiply

6*KL = 8*4

6*KL = 32

DIvide both sides by 6

KL = 32/6

KL ≈ 5.3

Answer:

2222333344445555666677778888

Step-by-step explanation:

I don't see the thing

Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

Answer:

20/9

Step-by-step explanation:

2/(9/10)=(2/1)(10/9)=20/9