In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

Question:

1. vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up

2. vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down

3. vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down

4. vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Answer:

The correct option is;

4. Vertical stretch of 2, horizontal compression to a period of π/2, phase shift of π units to the right, vertical shift of 1 unit down

Step-by-step explanation:

Here, we have the parent cosine function given by y = cos(x)

A plot of the above function is attached

By comparison, it is observed that the transformation required to change the parent function includes;

1. Vertical stretch from the parent function of amplitude 1 to amplitude 2

2. A horizontal compression so that the period of one complete revolution is π/2 rather than 2·π in the parent cosine function

3. Phase shift of pi units to the right such that cos(π) = 1 rather than cos(2π) = 1 as it applies to the parent function

4. Shift of the y values from the symmetrical x-axis origin downwards by 1 unit such that the maximum y value of the doubly stretched transformation is 1 rather than 2

Answer:

$120.14

Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-025=0.75[/tex]

3) Multiply 900 by 0.75 to the power of 7.

[tex]900*0.75^7=120.14[/tex]

Answer:

If you’re looking for the vale after 8 years, I got $90 but I’m not sure if I’m right .

Step-by-step explanation:

66.67% of the students who passed the first test also passed the second test.

To find the percent of students who passed the second test given that they passed the first test, we need to calculate a conditional probability. Let's define the events:

We are given:

The conditional probability P(B|A) can be calculated using the formula:

P(B|A) = P(A ∩ B) / P(A)

Substitute the given values into the formula:

P(B|A) = 0.30 / 0.45

When we divide 0.30 by 0.45, we get 0.6667 or approximately 66.67%.

Therefore, 66.67% of the students who passed the first test also passed the second test.

Answer:

No I will never ever help you

To calculate the interest charged on the credit card, subtract the amount paid off from the new cost of the iPhone 11 and multiply it by the interest rate and time. The interest charged is $45. The new total bill will be $545.

To calculate the amount of interest charged on the credit card, we need to find the difference between the new cost of the iPhone 11 ($700) and the amount you paid off ($200). This difference will be the initial principal amount on which interest is charged.

Interest is calculated using the formula: interest = principal x rate x time. In this case, the principal is $500 (the remaining amount owed), the rate is 0.09 (9% as a decimal), and the time is 1 year since the interest is calculated annually for credit cards.

Using this information, we can calculate the interest charged: interest = $500 x 0.09 x 1 = $45.

To find the new total bill, we add the interest charged to the remaining amount owed: new total bill = $500 + $45 = $545.

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS, the congruent supplements theorem and CPCTC are needed.

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS (Side-Angle-Side) in the given triangles PST and RST, we need to use the following:

Therefore, by using the congruent supplements theorem and the CPCTC theorem, we can conclude that ∠PTQ and ∠RTQ are congruent.

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Answer:

The volume would be eight inches. I hope this helps.

Brainliest welcome

Step-by-step explanation:

Final answer:

The volume of a cube with an edge length of 2/3 inch is found by cubing the edge length, which results in a volume of 8/27 cubic inches.

Explanation:

To find the volume of a cube with an edge length of 2/3 inch, we use the formula for the volume of a cube, which is the edge length cubed (V = [tex]s^3[/tex]). Thus, the volume V is:

Therefore, the volume of the cube is 8/27 cubic inches.

There were 189 in-state students and 54 out of state students.

Total number of students = 243

Number of In-state students will be:

= 7/(7+2) × 243

= 7/9 × 243

= 189

Number of Out of states students will be:

= 2/(7+2) × 243

= 2/9 × 243

= 54

Therefore, there were 189 in-state students and 54 out of state students.

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Answer: 30(short piece) 90(long piece)

Step-by-step explanation:

Step-by-step explanation:

Simple

Speed of 1 hour = 51 miles

Total miles = 459

459 ÷ 51 = 9

It will take 9 hours for him to reach his destination

Answer: $3,150.00

Step-by-step explanation:

[tex]Formula: A=P(1+rt)[/tex]

Where;

A = amount

P = principal ($2,000)

r = rate (11.5% or 0.115)

t = time (5 years)

Plug this into the formula

[tex]A=(2000)(1+(0.115)(5))\\A=(2000)(1+0.575)\\A=(2000)(1.575)\\A=3150[/tex]

Answer:

There are no whole numbers greater than 15 but less than 16... I am pretty sure it cant be 15 1/2 or something like that...

Step-by-step explanation:

Answer:

17.33

Step-by-step explanation:

plug 78/450 into your calculator

78 is 17.33% of percent of 450.

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To calculate what percent of 450 is 78, we can use the following formula:

percent = (part / whole) * 100

In this case, the part is 78 and the whole is 450. Thus, we have:

percent = (78 / 450) * 100

percent = 17.33%

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Answer:

100

I want brainliest

Step-by-step explanation:

sqareroot of y -2=8

10-2=8

sqare root 10^2-2=8

y=100

Answer:

y = 100

Step-by-step explanation:

Assuming you mean sqrt(y) - 2 = 8

Add 2 to each side

sqrt(y) - 2+2  = 8+2

sqrt(y) = 10

Square each side

y = 10^2

y = 100

Answer:

a. Property 1

b. Property 2

Step-by-step explanation:

In this case, what we will do is say the properties of the equations, which are 4, the following:

Property 1: When a number is added or subtracted to both sides of equality, equality remains.

Property 2: When multiplied or divided by the same number, other than zero, on both sides of equality, equality remains.

Property 3: When both members of equality are raised to a nonzero power, equality remains.

Property 4: When the same root is extracted, on both sides of the equality, equality remains.

In other words, property 1 is used in part a and property 2 is used in part b.

Answer: c

Step-by-step explanation:

20,400

Answer:

all 3 statements are true

Step-by-step explanation:

domain is the x value or the first number in the parentheses

range is the y value or the second number in the parentheses

Answer:

1. True.

2. True.

3. True.

Step-by-step explanation:

The domain contains X coordinates, and the range contains Y coordinates. From the given list of coordinates, the domain contains numbers 2, 3, 5, and 6.

The range contains numbers 1, 4, 5, and 7, making questions 1 and 2 true.

Both the domain and range contain the number 5, so question 3 is also true.

Answer:b

b

Step-by-step explanation:

tell me if you got it right.

Answer:

1) 30

Step-by-step explanation:

We need the radius of the wheel, we know that the radius is half the diameter, therefore:

r = d / 2 = 3/2 = 1.5

the angle is equal to the distance traveled (s) divided by the radius, thus:

° A = s / r =

° A = 45 / 1.5

° A = 30 radians

Through the radiation angle of 30 radians the wheel turned

therefore the answer is 1) 30

The radian angle at which the wheel rotated is; 1: 30

We are given;

Diameter of wheel; d = 3 ft

Radius; r = d/2 = 3/2 = 1.5 ft

Now, the formula for the radian angle at which the wheel rotated is;

θ = s/r =

where;

s is distance

r is radius

Thus;

θ = 45/1.5

θ = 30 radians

Thus the angle at which the wheel rotated is 30 radians

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Answer:

a.) [tex]hours=13[/tex]

b.) [tex]h\leq 15[/tex]

c.) $[tex]$105[/tex]

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let h be the unknown number of hours:

[tex]7h=91[/tex]

Solve for h. Divide both sides by 7:

[tex]\frac{7h}{7}=\frac{91}{7}\\\\h=13[/tex]

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let h be hours:

[tex]h\leq 15[/tex]

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for h into an equation when she earns $7 per hour. Let the product of the hours and money equal t for total:

[tex]t=7(15)\\t=105[/tex]

The most money Sylvia can earn in a week is $105.

Finito.

Answer:

820.125

Step-by-step explanation:

2*4+2/2=9

9*4+9/2=40.5

40.5*4+40.5/2=182.25

182.25 * 4 + 182.25/2 = 820.125

Answer:

C.  the vertical scale does not start at zero.

Step-by-step explanation:

The bars should  be longer than  they are drawn because the scale does not start at zero. As it is visual comparisons of the different months is misleading.

For example, it looks like the sales for February are about twice the March sales but that is not true.

Answer:

22 inches

Step-by-step explanation:

7 + 7 = 14

4 + 4 = 8

14 + 8 = 22

Answer:

"If they add all of the pencils together and then divided by how many of them there, which is 60/5, we can that there will be 12 pencils given to each person."

"Sample Response: Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils. "

Check all that you included in your response.

Maria should give away 2 pencils.

Ted should get 3 pencils.

Lucinda should give away 1 pencil.

Everyone should have 12 pencils.

Step-by-step explanation:

Answer:

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

Step-by-step explanation:

Let the number of men be denoted by M

number of women be denoted by W

Maximum no of people that can go one trip = 40

Therefore representing it mathematically we have

M + W <= 40  -------------- CONSTRAINT 1

Minimum number of men needed on trip = 12

Therefore representing it mathematically we have

M >= 12  CONSTRAINT 2

Minimum number of women needed on trip = 15

Therefore representing it mathematically we have

M >= 15  CONSTRAINT  3

profit on 1 man = $26

profit on M men = $26 * M

profit on 1 woman = $14

profit on M men = $14 * W

Total profit combining for men and women =

 $26 * M + $14 * W  -------------CONSTRAINT  4

___________________________________________

writing together all the constraint

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

Answer:

Their total budget last year = $44,000

Step-by-step explanation:

Let last year's budget be x

let total budget this year be y

we are given the following information

y = 1000 + x - - -   (1)       (Their total budget this year is $1,000 more than  last                                               year)

7% of y = $3,150

7/100 × y = 3,150

0.07y = 3,150

y = 3,150 ÷ 0.07 = $45,000

Therefore, budget this year = $45,000

from equation 1

y = 1000 + x - - -   (1)

∴ x = y - 1000

x = 45,000 - 1000 = $44,000

Therefore their total budget last year = $44,000

Final answer:

To find the Smiths' total budget last year, divide the amount they plan to spend on entertainment this year ($3,150) by 7% to calculate this year's budget ($45,000), then subtract the $1,000 increase from last year to reach the total budget for last year ($44,000).

Explanation:

To determine the Smiths' total budget last year, we need to work backwards from the amount they plan to spend on entertainment this year, which is $3,150. Given that entertainment costs represent 7% of their total budget, we can calculate their total budget for this year by dividing the entertainment expenditure by 7% (or 0.07). Once we have their budget for this year, we can subtract the $1,000 increase to find their budget for last year.

Let's calculate the total budget for this year:

Total budget this year = $3,150 / 0.07 = $45,000

Now, to find last year's budget, we subtract the $1,000 increase:

Total budget last year = $45,000 - $1,000 = $44,000

Therefore, the Smiths' total budget last year was $44,000.

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

[tex]\sin \theta = \dfrac 2 3[/tex]

[tex]\tan \theta < 0[/tex]

Positive sine, negative tangent, means we have a negative cosine.  We're talking about the second quadrant.

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

[tex]\cos^2 \theta = 1 - \sin ^2\theta[/tex]

[tex]\cos \theta = \pm \sqrt{1 - \sin ^2\theta}[/tex]

We know it's negative,

[tex]\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}[/tex]

Answer: -(1/3)√5

Answer:

  A) 24 ft³

Step-by-step explanation:

The area of the right triangle base is ...

  A = (1/2)(3)(4) = 6 ft²

The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).

  V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A

_____

Comment on the triangle

You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:

  5² = 3² +4²

  25 = 9 + 16 . . . . . true; so the triangle is a right triangle

In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.

Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.

  A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle

Answer:B

Step-by-step explanation:

Answer:

b. Only x = –2 is an extraneous solution.

Step-by-step explanation:

edge 2021

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Answer:

Option B

Step-by-step explanation:

The reason is because the surface area is not including the base of the pyramid and the top of the prism.

Option b.  she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the pyramid not including the base plus the surface area of the prism not including the top

so

SA= 285.7 units squared

Answer:

B

Step-by-step explanation: