PLsss help 15 points!

In the figure below, △ABC ~ △PQR. If the Area of △ABC is 40 cm2, what is the area of △PQR? show your work.

let's say hight of tree is x.

from figure attached , using trigonometry we can say

tan 37 = x / 26

multiplying by 26 both side

tan 37 × 26 = x/26 × 26

tan 37× 26 = x

putting value of tan 37

x = tan 37 × 26 = 0.7535 × 26

x = 19.592 meters

Answer:

180°

Step-by-step explanation:

The measures of the angles in the triangle shown are ...

81.87°, 60.26°, 37.87°

The sum of those measures is ...

81.87° + 60.26° + 37.87° = 180.00°

Answer:

(5, -2)

Step-by-step explanation:

x + y = 3 can become x = 3-y

we are going to use substitution

now plug x = 3-y into the other equation

2(3-y) + 3y = 4

6-2y+3y = 4

6 + y = 4

subtract 6 from both sides

y = -2

now plug in y back into one of the equations, it doesn't matter which one. I am going to use the x + y = 3 equation

x -2 = 3

x = 5

Answer:

(0,12)

Step-by-step explanation:

Just plug in 0 for x so (0-6)(0-2) = 12 so that's the y value.

Also, a y intercept has to be of the form (0,y) where y is some number.  The x value has to be 0, so that eliminates the last two options automatically, but if we put the x and y value we got together we get (0,12)

Answer:

(0,12)

Step-by-step explanation:

[tex]f(x) = (x - 6)(x - 2)[/tex]

To find out y intercept , plug in 0 for x and find out f(0)

y intercept are the value where the graph crosses y axis

[tex]f(x) = (x - 6)(x - 2)[/tex]

[tex]f(0)= (0-6)(0 - 2)=12[/tex]

When x is 0 the value of y is 12

Write y intercept as (0,y) that is (0,12)

Answer:

14.04°

Step-by-step explanation:

In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.

The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:

[tex]tan(\alpha) = \frac{a}{b} = \frac{5}{20} = 0.25[/tex]

To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.

Answer:

14.04

Step-by-step explanation:

i took the test

Answer: [tex]\frac{1}{4}=2^{(-2)}[/tex]

Step-by-step explanation:

You know that an expression written is logarithmic form is:

[tex]x=log_b(y)[/tex]

And an expression equivalent to the expression above that is written in exponential form is:

[tex]y=b^x[/tex]

Therefore, keeping the information above on mind, you have that an equivalent exponential equation for [tex]log_{2}(\frac{1}{4}) =-2[/tex] , is the shown below:

[tex]\frac{1}{4}=2^{(-2)}[/tex]

Answer:

[tex]\frac{1}{4} =2^{-2}[/tex]

Step-by-step explanation:

We are given the following expression and we are to write an equivalent exponential equation for it:

[tex] log_2 (\frac { 1 } { 4 } ) = - 2 [/tex]

We know that the standard form of a logarithmic expression is given by:

[tex] y = log_a ( x ) [/tex]

which is equivalent to the exponential form [tex] x = a ^ y [/tex].

Therefore, for the given expression, the equivalent exponential equation will be:

[tex] \frac { 1 } { 4 } = 2 ^ { - 2 } [/tex]

Answer:

18%

Step-by-step explanation:

18% is the percent increase in tuition fees.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, The tuition at a college increased from 50,000 in 2006 to 59,000 in 2007.

From the general formula of percentage change,

percentage change = change in value/original value * 100

In our case,

original value = 50,000

change in value = 59,000 - 50,000

change in value = 9,000

thus,

Percentage change = 9,000/50,000 *100

Percentage change = 18%

Therefore,  the percent increase in tuition fees is 18%.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ5

Answer:

13

Step-by-step explanation:

The 4 consecutive odd numbers that have a sum of 40 are 13, 11, 9, 7. 13 is the greatest of these numbers.

Hope this helps

Answer:

Which of the following sampling techniques is the most likely to produce a random sample, representative sample of all students at a high school?

A. Choosing every 10th name on the student roster

B. Choosing every 10th student arriving in a 9th grade homeroom

C. Choosing the first 100 students who arrive at school

D. Asking students to call a phone number to answer survey questions

Step-by-step explanation:

A random sample is choosing the first 100 students who arrive at school.

There are five types of Sampling Techniques

Random sampling is similar to putting everyone's name into a bowl and drawing out random names. Each element has a chance of being called.

Systematic sampling is easier to do than random sampling. In systematic sampling, the list of elements is "counted off". That is, every kth element is taken.

Convenience sampling is very easy to do, but it is the least effective technique to use. In convenience sampling, data that is easily available is used.

Cluster sampling is accomplished by dividing the population into groups usually geographically. These groups are called clusters or blocks. The clusters are randomly selected, and each element in the selected clusters are used.

Stratified sampling also divides the population into groups called strata. However, this time it is by some characteristic, not geographically.

Option C , i.e. Choosing the first 100 students who arrive at school is an example of Random Sampling.

To know more about different types of Sampling Techniques

https://brainly.com/question/16813351

#SPJ2

Answer:The answer is -3 and 3. You can do this by using a graphing calculator and plugging in the equation.

Answer:

3, -3, 6i, -6i

Step-by-step explanation:

Answer: Option a.

Step-by-step explanation:

- Divide both sides of the expression by 7.8:

[tex]7.8e^{\frac{x}{3}ln5}=14\\\\\frac{7.8e^{\frac{x}{3}ln5}}{7.8}=\frac{14}{7.8}\\\\e^{\frac{x}{3}ln5}=\frac{14}{7.8}[/tex]

- By definition:

[tex]e^y=x[/tex]→[tex]y=ln(x)[/tex]

Then:

[tex]\frac{x}{3}ln5=ln(\frac{14}{7.8})[/tex]

- Now, you must solve for x.

Then, you obtain:

[tex]xln5=3ln(\frac{14}{7.8})[/tex]

[tex]x=\frac{3ln(\frac{14}{7.8})}{ln5}[/tex]≈[tex]1.0903[/tex]

Answer:

Dina's friend is jealous of Dina's confidence so she wanted to "what up" her :)

Step-by-step explanation:

Answer:

Miles

Like asking what measures distance between a lake and a city.

I got your answer right my guy X=12

1/6 because 1/3 of 1/2 is 1/6

Answer: 5 km and 25 km

This is through multiplication and division.

Remember your order of operations!

Answer: 6.3

Good luck!

-RxL

Answer:

The answer is 6.3

Step-by-step explanation:

14 x 90 divided by 200 = 14*90/200

= 7*9/10

= 6.3

Answer:

Kayla is correct; the center is a fixed point in the middle of the sphere.

Answer:

Kayla is correct; the center is a fixed point in the middle of the sphere

Step-by-step explanation:

To understand the solution we need to understand what a sphere is.

What is Sphere?

Sphere is a 3 dimensional solid where every point is equidistant from the center.

Center is the point in the middle

radius is the line joining any point on the surface to the center of the sphere

To learn more about sphere visit https://brainly.com/question/1293273

#SPJ2

Answer:

  c. 30.9 °C; 32.9 °C

Step-by-step explanation:

Put the given numbers into the given formula and do the arithmetic.

(a) The temperature of sample 1 is ...

  y = (100 -24)e^(-0.12·20) + 24 ≈ 30.9

___

(b) The temperature of sample 2 is ...

  y = (100 -4)e^(-0.12·10) +4 ≈ 32.9

Hey nice job up there. Well thought out answer.

Answer:

C. Money market

Best regards

Final answer:

Venture capital is money loaned for the purpose of earning a share of the profits in startups or small businesses. Venture capitalists provide funds in exchange for equity in the company.

Explanation:

Venture capital is money loaned for the purpose of earning a share of the profits. It is a form of financing for startups or small businesses that have potential for high growth. Venture capitalists provide funds to these companies in exchange for equity, or ownership stake, in the company.

For example, let's say a student wants to start a tech company but doesn't have the funds to do so. They approach a venture capitalist who believes in their idea and is willing to invest money in their company. In return, the venture capitalist will receive a portion of the company's profits.

So, the correct answer is D. Venture capital.

Answer:

its b . 24.5

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

log3 (1/9)

Replace 1/9 with a power of 3

1/9 = 3^-2

log3 (3^-2)

Using the power of power rule  loga (b^c) = c log a(b)

-2 log3(3)

We know that loga(a) =1

-2 (1)

-2

Answer:

$4.

Step-by-step explanation:

20x20%= 4.

Answer:

d. [tex]x=1,4,\:or\:7[/tex]

Step-by-step explanation:

The given equation is

[tex]x^3-12x^2+39x-28=0[/tex]

To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.

The corresponding function is;

[tex]f(x)=x^3-12x^2+39x-28[/tex]

The real solutions to [tex]x^3-12x^2+39x-28=0[/tex], are the x-intercepts of the graph of the corresponding function.

From the graph the x-intercepts are

(1,0),(4,0) and (7,0).

Therefore the real solutions are

[tex]x=1,4,\:or\:7[/tex]

The measure of angles in a rhombus can be found understanding the properties of a rhombus (i.e., opposite angles are equal and adjacent angles are supplementary) and possibly applying trigonometry in which angles are not aligned in regular horizontal or vertical manner. Specific measurements can be obtained using a protractor.

To find the measure of the numbered angles in the rhombus, you need to understand the geometric properties of a rhombus. The opposite angles of a rhombus are equal, and the adjacent angles are supplementary, meaning they add up to 180 degrees. Further, the diagonals of a rhombus bisect its angles, and they are perpendicular to each other, forming 90-degree angles where they intersect.

Clearly, the exact measures of the angles will depend on the specific information provided about the rhombus in your diagram. Here are some steps on how you might determine these measures:

https://brainly.com/question/9285429

#SPJ12

Answer:

[tex]Cos (\frac{\pi}{3})[/tex]

Step-by-step explanation:

To get the angle in the first quadrant, we need to subtract 2π from the angle given as many times we need UNTIL we get an angle that is between 0 degree and 90 degree (1st quadrant).

Let's start by subtracting 2π from the angle given:

[tex]\frac{7\pi}{3}-2\pi\\=\frac{7\pi -2\pi(3)}{3}\\=\frac{7\pi - 6\pi}{3}\\=\frac{\pi}{3}[/tex]

This angle is in the 1st quadrant, so we don't need to subtract 2π anymore. Thus we can write:

[tex]Cos(\frac{7\pi}{3})=Cos(\frac{\pi}{3})[/tex]

Height = SQRT(30^2 - 8^2)

Height = SQRT(900-64)

Height = SQRT(836)

Height = 28.9 feet

Answer:

A) F or G = {5, 6, 7, 8, 9, 10, 11, 12}; B) P(F or G) = 8/12 = 0.667

Step-by-step explanation:

The outcomes in event F are 5, 6, 7, 8 and 9.  The outcomes in event G are 9, 10, 11 and 12.  This means that the event F or G, containing all elements of both events, will be

{5, 6, 7, 8, 9, 10, 11, 12}.  Note that we do not count 9 twice; it only appears in the sample space once.  There are 8 elements out of 12 total in the sample space; this means the probability is 8/12 = 0.667.

Using the addition rule, we begin with P(F).  There are 5 elements in this event; this makes P(F) = 5/12.  

For P(G), there are 4 elements in G; this makes P(G) = 4/12.

To add them, we add P(F) and P(G) but then must take out the element counted twice; this gives us

5/12+4/12-1/12 = 9/12-1/12 = 8/12 = 0.667.

We have that

From the question we are told

a)

Generally

The P(F or G) by counting the number of outcomes in F or G is

F&G={5, 6, 7, 8, 9, 10, 11, 12}

b)

P(F or G) using the general addition rule

[tex]P(FG)=\frac{N_f}{N_g}\\\\P(FG)=\frac{8}{12}[/tex]

[tex]P(FG)=0.667[/tex]

c)

Generally Using addition Rue to attain P(F or G) we have

For P(F or G)

[tex]P(F or G)=PF+PG-P(F+G)[/tex]

[tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4\\\\ P(F or G)=\frac{8}{12}[/tex]

For more information on this visit

https://brainly.com/question/23366835?referrer=searchResults

Two sides are 3 by 2 = 2 x 3 x 2 = 12 square m.

Two sides are 17 by 2 = 2 x 17 x 2 = 68 square m.

Two sides are 17 by 3 = 2 x 17 x 3 = 102 square m.

Total = 12 + 68 + 102 = 182 m²

Answer:

114m 2

Step-by-step explanation:

I think the answer is 144