Instructions: Write the equation of the line in Point-Slope Form
given the information below. Use Point One.
Point One = (-3,3)
Point Two = (-2,-1)

Answer:

23.09 ft

Step-by-step explanation:

Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .

From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .

Now since we have base and perpendicular , we should use the ratio of tangent as ,

[tex]\rm\longrightarrow tan\theta =\dfrac{perpendicular}{base}=\dfrac{p}{b} [/tex]

And here [tex]\theta[/tex] = 60° . On substituting the respective values , we have ;

[tex]\rm\longrightarrow tan 60^o =\dfrac{40\ ft}{x \ }\\ [/tex]

And the value of tan60° = √3 , so that ;

[tex]\rm\longrightarrow \sqrt3 =\dfrac{40\ ft}{x} [/tex]

Cross multiply ,

[tex]\rm\longrightarrow x =\dfrac{40}{\sqrt3}ft. [/tex]

The value of √3 is 1.732 approximately .

[tex]\rm\longrightarrow x =\dfrac{40}{1.732}ft. [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{{x =23.09\ ft }}}} [/tex]

And we are done !

Answer:

he has 1/2 of a chance to get tan pants and 1/4 of a chance to get a white shirt.

Step-by-step explanation:

hope that helps, mr cleann

Answer: 1/8

Step-by-step explanation:

(W) white (B) black (R) red (BL) blue   (BP) blue pants (TP) tan pants

                       |-------------(B)

                       |-------------(W)

(TP)------------- |-------------(R)

|                       |-------------(BL)

|                      |--------------(B)

|                      |--------------(W)

(BP)-------------|--------------(R)

                      |--------------(BL)

From the tree diagram, a white shirt with tan pants is one out of eight possible outcomes, so the probability of getting tan pants and a white shirt is 1/8.

Answer:

(4,10)

Step-by-step explanation:

If its reflected over the x axis it goes from -4,-10 to 4,10

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]AC^2+BC^2=AB^2[/tex]

BC= x

AB= 10 cm

AC= 8 cm

~

Now, Substitute

[tex]8^2+x^2=10^2[/tex]

[tex]64+x^2=100[/tex]

[tex]100-64=x[/tex]

[tex]\sqrt{36}=x^2[/tex]

Square root x^2= x, √(36)=6

[tex]x=6[/tex]

Therefore, the length of x = 6

~

Answer:

5x=50

Step-by-step explanation:

Divide 50 by 5x so you get x = 10 (or just do basic multiplication)

Answer:

no solution

Step-by-step explanation:

2x + 3x - 60 = 5x

combine like terms

5x - 60 = 5x

subtract like terms (5x-5x = 0)

-60 = 0, which is untrue so there is no solution

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

[tex]\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t } [/tex]

We can write the numerator as ,

[tex]\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t } [/tex]

Recall the identity ,

[tex]\longrightarrow (a-b)(a+b)=a^2-b^2[/tex]

Using this we have ,

[tex]\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}[/tex]

Again , as we know that ,

[tex]\longrightarrow sin^2\phi + cos^2\phi = 1 [/tex]

Therefore we can rewrite it as ,

[tex]\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}[/tex]

Again using the first identity mentioned above ,

[tex]\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}[/tex]

Or else we can also write it using ,

[tex]\longrightarrow cos2\phi = cos^2\phi - sin^2\phi [/tex]

Therefore ,

[tex]\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}[/tex]

And we are done !

[tex]\rule{200}{4}[/tex]

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

[tex]\longrightarrow cos(x + x ) [/tex]

As we know that ,

[tex]\longrightarrow cos(y + z )= cosy.cosz - siny.sinz [/tex]

So that ,

[tex]\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x) [/tex]

On simplifying,

[tex]\longrightarrow cos(x+x) = cos^2x - sin^2x [/tex]

Hence,

[tex]\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }} [/tex]

[tex]\rule{200}{4}[/tex]

Answer:

2 Paul's Survey sample only included tenth graders

Step-by-step explanation:

The reson why this is your answer is simple

Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.

Thanks!

Answer:

x bigger than or equals to 21

Step-by-step explanation:

[tex] \frac{x}{3} + 7 \geqslant 14[/tex]

[tex] \frac{x}{3} \geqslant 7[/tex]

[tex]x \geqslant 21[/tex]

Answer:

(x + 10)(x - 10)

Step-by-step explanation:

x² - 100 = x²- 10²

x² - 100 is the difference of two squares.

The factorization of the difference of two squares is

a² - b² = (a + b)(a - b)

x² - 100 = (x + 10)(x - 10)

Answer:

Its A

Step-by-step explanation:

Missing: 65134, ‎703146, ‎135426, ‎510, ‎400510, ‎400

The actual price is $46.73 lower than the expected price.

[tex]CPI_t=\frac{C_t}{C_0} * 100[/tex]

CPI=consumer price index in the current period

Ct= expected cost in current period

C₀ =cost in the base period

It is given that

Price in base period ie 1983 C₀= $78.75

The actual cost of the microwave oven = $92.66

Consumer Price Index= 177

So, expected price of microwave oven in the current period

Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39

Difference between the actual price and expected price = 139.39-92.66=$46.73

Therefore, The actual price is $46.73 lower than the expected price.

To get more about CPI visit:

https://brainly.com/question/5992428

Answer:

B

Step-by-step explanation:

I got it right on the assignment

Hope this helps :)

Answer:

B. A web diagram shows what connects these different types of doctors.

Step-by-step explanation:

Answer:

4960

Step-by-step explanation:

6.2 cal = 4mph

1 cal = 6.2 * 4 = 24.8mph

200 cal = 24.8 * 200 = 4960mph

Do mark BRAINLIEST

Knowing the angles are equal, the value for y is 40.

The angle bisector is the line segment that divides the angle into two equal angles.

Thus, if OF is the angle bisector for EOG, the angles EOF and FOG are equal.

For finding y, you can write:

EOG=FOG

y+30=3y-50

y-3y=-50-30

-2y=-80

y=80/2

y=40

Read more about the angle bisector here:

https://brainly.com/question/24677341

Answer:

(3x-7)(3x+7)

Step-by-step explanation:

3^2 * x^2 -7^2 (expand that out)

(3x)^2 - 7^2

(3x-7)*(3x+7)

Answer:

(3x+7)(3x-7)

Step-by-step explanation:

Applying the Difference of Two Squares(D.O.T.S) formula:

[tex]x^{2} -y^{2} =(x+y)(x-y)[/tex]

9x²= (3x)²

49=7²

Put 3x as x and 7 as y into the D.O.T.S formula:

(3x+7)(3x-7)

Mark as Brainliest please

Answer:

y=3x^2,y=5^2,y=7x^2

Step-by-step explanation:

y=3x^2 is the widest, y=7x^2 is the narrowest, which leaves y=5x^2 in the middle

Answer:

Look at the attachment

So triangle is isosceles

Hi! I hope you're enjoying your day!

I can help Maritza solve this maths problem. ;)

The first step in solving this problem is using the Distributive Property and distribute 5.

How to distribute 5:

multiply 5 times 4m and -6 and simplify :)

So let's do it! :)

5(4m-6)-10

20m-20-10

Now, combine like terms:

[tex]\boxed{\boxed{\bold{20m-30}}}[/tex]

And yeah, we can't simplify this expression, because 20m and -30 are not like terms.

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

Hello there! Your question is missing some important information to solve.  I will solve the equation by simplifying the expression. =)

Answer:

[tex]20m-40[/tex]

Step-by-step explanation:

Given the expression:

[tex]5(4m-6)-10[/tex]

You can simplify it as follows:

1. Apply the Distributive Property multiplying each term inside the parentheses by the number 5 outside:

[tex]=(5)~(4m)-(5)~(6)-10[/tex]

[tex]=20m-30-10[/tex]

2. Add the like terms (remember that like terms have the same variables with the same exponents):

[tex]=20m-40[/tex]

Hence, the answer is [tex]20m-40[/tex]

Answer:

π(12.1)²

Step-by-step explanation:

12.1 is the radius

Formula for base = πr²

= π(12.1)²

Answer:

30

Step-by-step explanation:

(Solution: 12/20 + 12/x = 1, x = 30 min)

Answer:

(B) 1 is the answer.

Step-by-step explanation:

10/36+ 5(5-x)/36-5x/6= 0

x= -1

that means losing 1 point makes the game fair.

Answer:

B - 1

Step-by-step explanation:

100%

Answer:

18%

Step-by-step explanation:

0.12 is 12 percent.

We also have the 0.06 percent which would just be 6 percent

We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.  

Our final answer is D.

Yes, the samples are likely to be representative of all teachers and non-teachers in the state.

The median, in similarity with the mean is a statistical measure of central tendency.

Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.

Read more on central tendency measure;

https://brainly.com/question/17726154

Answer:

27.4 ft

Step-by-step explanation:

because only 27.4 small tree

Answer:

the answer you are looking for is C

We will use graphical method to solve it.

The inequalities are

Graph both

We can see that the solution region is rightwards

The solution is (1.2,0.8)

Option D as the intersection point is ahead 1 unlike option A

Answer:

Given system of inequalities:

[tex]\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}[/tex]

When graphing inequalities:

[tex]y < \dfrac{2}{3}x[/tex]

The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.

So the correct line for the first inequality is the dotted line with the shallower slope.

As the relation is < for this inequality, the shading should be below the dotted line.

[tex]y\geq-x+2[/tex]

From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.

As the relation is ≥ for this inequality, the shading should be above the solid line.

Therefore, the only graph that satisfies these conclusions is graph D (attached).

Answer:

[tex](\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4[/tex]

[tex](\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )[/tex]

Simplifies to= [tex]\frac{1}{5832}[/tex]

Answer:

you dont have to answer hte tutorials jus submit it they dont see it uwu

Step-by-step explanation:

Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

INFORMATION/REMINDS ALREADY KNOWN:

We need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.

[tex]35/21= 1.6666666666667 = 1[/tex]

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

We'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:

[tex]35 - (21 * 1) = 14[/tex]

We've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

[tex]1\frac{14}{21}[/tex]

Our fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

[tex]\frac{14}{7} = 2\\\frac{21}{7} = 3[/tex]

When we put that together, we can see that our complete answer is:\

[tex]1\frac{2}{3}[/tex]