What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)? A. y = -x - 1 B. y = -x + 1 C. y = x - 1 D. y = x + 1

Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex] is 5.162 units.

A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

Given information-

In the given triangle shown in the figure,

[tex]\angle JGH=35[/tex]

The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.

As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,

[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]

Put the values,

[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]

In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.

Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

This is the required expression,

[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]

Thus the length of the [tex]GJ[/tex]5.162 units.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex]5.162 units.

Learn more about the sides of a right triangle here;

https://brainly.com/question/14517390

Answer:

[tex] A = \dfrac{8x}{3x + 1} [/tex]

Step-by-step explanation:

[tex]A = \dfrac{bh}{2}[/tex]

[tex] A = \dfrac{16x^2}{9x^2 - 1} \times \dfrac{6x^2 - 5x + 1}{2x^2 - x} \times \dfrac{1}{2} [/tex]

[tex] A = \dfrac{(16x^2)(6x^2 - 5x + 1)}{2(9x^2 - 1)(2x^2 - x)} [/tex]

[tex] A = \dfrac{(16x^2)(2x - 1)(3x - 1)}{2(3x - 1)(3x + 1)(x)(2x - 1)} [/tex]

[tex] A = \dfrac{8x}{3x + 1} [/tex]

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

[tex]y=kx[/tex]

Where k is the constant of variation.

Inverse variation is in the form:

[tex]\displaystyle y=\frac{k}{x}[/tex]

In the given problem, the frequency of a vibrating guitar string varies inversely  as its length. In other words, using f for frequency and l for length:

[tex]\displaystyle f=\frac{k}{\ell}[/tex]

We can solve for the constant of variation. We know that the frequency f is 4.3 when the length is 0.65 meters long. Thus:

[tex]\displaystyle 4.3=\frac{k}{0.65}[/tex]

Solve for k:

[tex]k=4.3(0.65)=2.795[/tex]

So, our equation becomes:

[tex]\displaystyle f=\frac{2.795}{\ell}[/tex]

Then when the length is 0.5 meters, the frequency will be:

[tex]\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}[/tex]

Step-by-step explanation:

a^2 +b^2 = c^2

b^2 = c^2 - a^2

3 - solving for h

A = bh

h = A ÷h

4 - solving for r

I = prt

r = I÷ pt

5- solving for b

A= 1/2 bh

can rewrite as

A = bh ÷2

b = 2A ÷ h

Answer:

hi sh Sheet sh I monorailg Jericho improve Odom Ybor

Answer:

exponential growth or exponential decay , and what ... The value of a car purchased for $20,000 decreases ... population, P, increases by 20%each year,

Answer:

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Step-by-step explanation:

He uses a ratio of 7 to 4 of orange juice to sparkling water.

7/4 = ?/28

4 * ? = 7 * 28

Divide both sides by 4.

? = 7 * 7

? = 49

He will use 49 fl oz of orange juice.

The total amount made is: 49 fl oz + 28 fl oz = 77 fl oz

Answer:

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Answer:

I can't read the weight of the package due to the image quality, could you type it out please.

Answer:

4x - 2y can be simplified as 2(2x - y)

Answer:

10

Step-by-step explanation:

Hello,

I believe this is the explanation of this problem. If not, anyone else is free to correct me on this.

Look at the line segment passes through the center and is divided into 8 and 4. Since this line segment passes through the center of the circle, this is the diameter and is equal to 12 simply by adding 8 and 4..

Let's look at the next segment. It passes through the center as well, so it must have the same diameter. After all, the circle has the same diameter no matter what as long as the segment passes through the center.

You have the length of one part of that segment, which is 2. Subtract it from 12, the diameter you got from the other segment, and the answer is 10.

Hope this helps!

Answer:

i think its 102 or 120-18

Step-by-step explanation:

i think cauee 10% of 120 is 12 and half of ten percent is 5 and 5% is 6

Answer:

she will save $18

Step-by-step explanation:

find 10% of the number. then find 5%. add the two answers together and you get $18.

10% of $120 = $12

5% of $120 = $6. (half 10%)

$12 + $6 = $ 18

Answer:

21.952 [tex]yards^{3}[/tex]

Step-by-step explanation:

The volume of a cube is side length cubed.

So [tex]2.8^{3}[/tex] = 21.952

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

Answer:

3375 in³

Step-by-step explanation:

Volume of a cube = a³ ; where a = edge of the cube

Length of each face = edge of cube = 15 inches

Volume of cube = 15³

Volume of cube = 15 inch * 15 inch * 15 inch

Volume of cube = 3375 in³

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

The value of x is: 75°

360° - 128° - 85° - 72° = 75°

Answer:

3/8

Step-by-step explanation:

Total = 8

Probability of blue: 1/8

Probabiity of white: 2/8

Probbility of blue AND white:

1/8 + 2/8

3/8

Answer:

3/8

Step-by-step explanation:

because there are 3 possbile places the spinner can go, and that there are 8 sections, the answer is 3/8

Answer:

The answer is A. y <= -3x + 3

Answer:

If you just solve normally, you will get x=2 and x=-3. But if you plug these in to check your work, you will find that they are wrong. Your answer is no solution

Step-by-step explanation:

ln(2x+3)+ln(x-2)=ln(x^2-2x)

Rule: log(a) + log(b) = log(a*b)

ln( (2x+3)(x-2) ) = ln(x^2-2x)

Rule: If log(a) = log(b) then a = b

(2x+3)(x-2) = x^2 - 2x

2x^2-x-6=x^2-2x

x^2+x-6=0

Using Quadratic Formula:

x = 2 and x = -3

But, plugging these numbers back into the original equation is false!

Answer:

XY would also be 7 centimeters which is answer D.

Step-by-step explanation:

This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that, the number of people who liked Mindy's website is given by :

270(1.65)^t ; t = number of weeks after a review

Interpreting the equation :

The equation represents an exponential growth function :

y = a(1 + r)^t

a = initial amount ; r = growth rate ; t = period

Comparing the function with the equation given ;

270 = a = number of people who liked the website before the review

1 + r = 1.65

r = 1.65 - 1

r = 0.65 ; 0.65 * 100% = 65%

Site grew at a rate of 65% per week after review

Ther predicted number of likes 2 weeks after the review :

y = 270(1.65)^2

y = 270 * 2.7225

y = 735.075

Hence, number of likes after 2 weeks = 735

Answer:

About 700 billion bacteria

Step-by-step explanation:

Given

[tex]1oz \approx 28g[/tex]

[tex]1g = 25\ billion\ bacteria[/tex]

Required

Number of bacteria in 1 oz

[tex]1g = 25\ billion\ bacteria[/tex]

Multiply both sides by 28

[tex]28 * 1g = 25\ billion\ bacteria * 28[/tex]

[tex]28g = 700\ billion\ bacteria[/tex]

Recall that

[tex]1oz \approx 28g[/tex]

This means:

[tex]1oz \approx 700\ billion\ bacteria[/tex]

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

Learn more about confidence interval of population for small sample here:

https://brainly.com/question/13073610

Answer:

A)94.5 cm

Step-by-step explanation:

height = 9cm

Base 1 = 5cm

Area of a Trapezoid = 1/2 × (b1 + b2)h

h = 9cm

b1 = 5cm

b2 = (9 cm + 5cm + 2cm) = 16cm.

Area of Trapezoid

= 1/2 (5 + 16) × 9

= 1/2 × 21 × 9

= 94.5 cm

Option A is the correct answer

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit

Answer:

∠1and∠5

Step-by-step explanation:

Hello There!

The image shown below shows an example of what corresponding angles look like

Properties of corresponding angles

angles 2 and 4 are on the same side of the transversal however they are supplementary angles not congruent

angles 2 and 4 are an example of adjacent angles therefore this is not the answer

angles 1 and 5 are on the same side of the transversal and they are most definitely congruent

This might be our answer but lets check the last answer just to be sure

Angles 3 and 6 are congruent but they are not on the same side of the transversal

angles 3 and 6 are an example of alternate interior angles therefore this is not the correct answer

So we can conclude that angles 1 and 5 are corresponding angles

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99