Part 1: Serena's drawing
Follow these steps to find the angles of the trapezoids in Serena's drawing. If the angles of her
trapezoid match the angles of the trapezoid stone, then her drawing is correct.

Answer:

16

Step-by-step explanation:

Answer:

[tex]\boxed{\sf B}[/tex]

Step-by-step explanation:

-1 < y < 0

The value of y is negative.

Let’s take the number -0.5.

(-0.5)² = 0.25

1 - (-0.5) = 1.5

1 + (-0.5) = 0.5

2(-0.5) = -1

The greatest value is 1.5.

The answer is 1 - y.

Answer:

1 13/18

Step-by-step explanation:

Get a common denominator of 18

8/9+2/3+1/6

8/9 *2/2  + 2/3 *6/6  + 1/6 *3/3

16/18 + 12/18 + 3/18

31/18

18/18+13/18

1 13/18

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The Lowest Common Denominator (LCD) of these fraction is: \bf 18}[/tex]

[tex]\mathsf{\dfrac{8}{9}+\dfrac{2}{3}+ \dfrac{1}{6}}\\\\\mathsf{= \dfrac{8\times2}{9\times2}+\dfrac{2\times6}{3\times6}+ \dfrac{1\times3}{6\times3}}\\\\\mathsf{8\times2=\bf 16}\\\mathsf{2\times6=\bf 12}\\\mathsf{1\times3 = \bf 3}\\\\\mathsf{9\times2=\bf 18}\\\mathsf{3\times6= \bf 18}\\\mathsf{6\times3 = \bf 18}\\\\\mathsf{\dfrac{16 + 12 + 3}{18}}\\\\\mathsf{16+12+3}\\\mathsf{= 28 + 3}\\\mathsf{=\bf 31}\\\\\\\mathsf{ = \bf 1 \dfrac{13}{18}}\\\\\\\boxed{\huge\textsf{Answer: \boxed{\mathsf{1 \dfrac{13}{18}}}}}}[/tex] ☑

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

$12165.97

Step-by-step explanation:

100 + 4.1 = 104.1%

104.1% = 1.041

$5670 x 1.041^19 = $12165.97

Answer:

daily

Step-by-step explanation:

To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.

5670(1+0.041/365)^(365*19)

= 12356.04

365= daily

so your answer would be that the interest compounds daily.

Answer:   -12 - 3 = -15

Explanation:

We start at -12 which goes in the first box.

Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.

The arrow is pointing at -15 as the final destination, which goes in the final third box.

Answer:

179.38 sq.units

Step-by-step explanation:

answer is in the pic

Answer:

[tex]\mathrm{Domain\:of\:}\:0.5^x-9\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Range\:of\:}0.5^x-9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>-9\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-9,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Asymptotes\:of}\:0.5^x-9:\quad \mathrm{Horizontal}:\:y=-9[/tex]

Step-by-step explanation:

Domain:

The function has no undefined points nor domain constraints. Therefore, the domain is

[tex]...-\infty \:<x<\infty \:[/tex]

Definition: The domain of a function is the set of input or argument values for which the function is real and defined.

_________________________________________________

Range:

[tex]\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k\\k=-9[/tex]

[tex]f\left(x\right)>-9[/tex]

Definition: The set of values of the dependent variable for which a function is defined.

_________________________________________________

Asymptotes:

[tex]\mathrm{Vertical\:asymptotes\:of\:}0.5^x-9:\quad \mathrm{None}\\\mathrm{Horizontal\:Asymptotes\:of\:}0.5^x-9:\quad y=-9\\\mathrm{Horizontal}:\:y=-9x^{2}[/tex]

Answer:

-6723cw

Step by Step:

(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15

Answer:

25

Step-by-step explanation:

The overall range of all scores in all three sections is 25.

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The range of 3 sections is 28, 25 and 22.

So, the overall range of all scores in all three sections

= (28+ 25+ 22)/ 3

= 75/3

= 25

Hence, the overall range of all scores in all three sections is 25.

Learn more about average here:

https://brainly.com/question/11195029

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Answer:

$1171.05

Step-by-step explanation:

1500 × (1-(6 / 100))⁴

Answer:

Hey there!

Each year, the computer is (100-6), or 94% of it's original value.

Thus, we have:

Original: 1500

First year: 1500(0.94)

Second year: 1500(0.94)(0.94)

Third year: 1500(0.94)(0.94)(0.94)

Fourth year: 1500(0.94)(0.94)(0.94)(0.94)

Fourth year: 1171 dollars.

Hope this helps :)

Answer:

1

Step-by-step explanation:

1

Answer:

7282

Step-by-step explanation:

To answer this use PEMDAS

First, we need to multiply: 76 x 94 = 7144

Then we add: 7144 + 138 = 7282

Answer:

Step-by-step explanation:

Using PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

[tex] \mathsf{138 + 76 \times 94}[/tex]

Multiply the numbers

[tex] \mathsf{ = 138 + 7144}[/tex]

Add the numbers

[tex] \mathsf{7282}[/tex]

Hope I helped!

Best regards!

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

Answer:

The answer is 2-4

Step-by-step explanation:

Answer:

It goes over the goal post by 6 feet

Step-by-step explanation:

The football will be at the same x position as the goal when x = 40. When x = 40, y = -0.03 * 40² + 1.6 * 40 = 16. The height of the goal post can be represented by the equation y = 10. Since 16 > 10, the football goes over the goal post by 16 - 10 = 6 feet.

Answer: 1/12

Step-by-step explanation: 1/4=3/12. 2/3=8/12. 3/12+8/12=11/12. The remaining 1/12 is blue.

Answer:

15

Step-by-step explanation:

f(x) = x^2+1

f(2) = 2^2+1 = 4+1 = 5

g(x) = 3x+1

g(3) = 3(3)+1 = 9+1 = 10

f(2)+g(3) = 5+10 =15

Answer:

15

Step-by-step explanation:

I'm just guessing though.

Answer:

1. EF = 65m

2. DF = 73m

Step-by-step explanation:

1. EF = height of the building = h = 33 / tan 27 = 65m

2. DF = sqrt (65² + 33²) = 73m

The building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.

From the triangle DEF, we find the value of EF by using tan function.

tan function is a ratio of opposite side and adjacent side.

tan(27)= 33/FE

0.5095 = 33/FE

Apply cross multiplication:

FE=33/0.5095

FE=64.76

Now DF is the hypotenuse, we find it by using pythagoras theorem.

DF²=DE²+EF²

DF²=33²+64.76²

DF²=1089+4193.85

DF²=5282.85

Take square root on both sides:

DF=72.68

In a triangle the the sum of three angles is 180 degrees.

∠D + 27 +90 =180

∠D + 117 =180

Subtract 117 from both sides:

∠D =63 degrees.

Hence, the building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.

To learn more on trigonometry click:

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Answer for number 4:

4. It will take them 3.5 hours on the fourth day.

Alright, so this is a multistep problem.

1. We need to calculate how many miles they have already traveled.

In order to do that, we multiply the number of hours by the average speed on each day.

- On day 1, they drove 5 hours at an average of 70 mph. 5 * 70 = 350, so they drove 350 miles on the first day.

- On day 2, they drove 7 hours at an average of 65 mph. 7 * 65 = 455, so they drove 455 miles on the second day.

- 350 miles + 455 miles = 805 miles, so they've driven 805 miles so far.

2. We need to figure out how far they have left to travel.

They started out with 1,050 miles, so they've got 245 miles left. 1,050 - 805 = 245.

3. We need to figure out how many hours they've got left to drive.

On the third day, they drive at an average speed of 70 mph, and they've got 245 miles left. to find the amount of time they need to drive, we divide the distance by the speed.

245 miles ÷ 70 mph = 3.5 hours. Therefore, it will take them 3.5 hours to reach their friend's home.

Answer For Number 5:

10 gallons of water will leak out in 30 hours.

This question involves unit rates.

1. We need to figure out how much water leaks out per hour.

- Since 7 gallons of water will leak out in 21 hours, we divide the amount of water by the amount of time it took for it to leak out. The answer will be how much water leaks out in an hour.

- 7 gallons ÷ 21 hours = 1/3 gallon of water. Now we have our unit rate. Every hour, 1/3 gallon of water leaks out.

2. We need to figure out how much water will leak out in 30 hours.

- Since we know how much water leaks out in 1 hour, we can easily figure out how much water leaks out in 30 hours. All we need to do is multiply how much water leaks out in one hour by 30!

- 1/3 gallon * 30 hours = 10 gallons of water.

Therefore, 10 gallons of water will leak out in 30 hours.

I hope this helps!

Answer:

33

Step-by-step explanation:

We can write an equation:

x+x+1+x+2+x+3=130

x represents the smallest number of the consecutive integers

By the way, an example of consecutive would be 2, 3, 4, 5 or 10, 11, 12, 13

We can combine like terms from our equation:

4x+6=130

4x=124

x=31

The smallest number is 31. The second number would be 31+1=32, which means the third number is 33!

Hope this helps! :) :)

Answer:

[tex]\huge\boxed{3rd\ number = 33}[/tex]

Step-by-step explanation:

Let the consecutive numbers(Coming one after another) be x, x+1, a+2 and x+3

So,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

Subtracting 6 to both sides

4x = 130-6

4x = 124

Dividing both sides by 4

x = 32

So,

1st number = x = 31

2nd Number = x+1 = 31+1 = 32

3rd number = x+2 = 31+2 = 33

4th number = x+3 = 31+3 = 34

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

Answer: Image

Step-by-step explanation:

took the test

They do. the initial point is same in both lines.

formally,

[tex] \vec{r_1}=(2\hat i+3 \hat j+\hat k)+s(4\hat i-\hat k)[/tex]

$\vec{r_2}=(2\hat i +3 \hat j +\hat k)+t(2\hat i+2\hat j +\hat k)$

if they intersect then $\begin{vmatrix} 4 & 0 & -1 \\ 2 & 2 & 1 \\ (2-2) & (3-3) & (1-1) \end{vmatrix}=0$

(which obviously is zero)

Answer:

  90

Step-by-step explanation:

Let g and b represent the number of girls and boys attending, respectively.

After 15 girls left, the ratio of boys to girls was ...

  b/(g -15) = 2/1

  b = 2g -30 . . . . . multiply by (g-15)

__

After 45 boys left, the ratio of girls to boys was ...

  (g -15)/(b -45) = 5/1

  g -15 = 5b -225 . . . . . . multiply by (b-45)

  g = 5b -210

Using the latter to substitute into the former, we have ...

  b = 2(5b -210) -30

  450 = 9b . . . . . add 450-b

  50 = b . . . . . . 50 boys attended

  g = 5(50) -210 = 40 . . . . . 40 girls attended

The number of students who attended the party was 50 +40 = 90.

_____

Check

After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.

After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.

Answer:

let b = original number of boys

let g = original number of girls

:

Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.

The ratio of boys to girls then remaining was 2 to 1.

b%2F%28%28g-15%29%29 = 2%2F1

Cross multiply

b = 2(g-15)

b = 2g - 30

:

Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.

%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1

cross multiply

g - 15 = 5(b-45)

g - 15 = 5b - 225

g = 5b - 225 + 15

g = 5b - 210

Replace b with (2g-30)

g = 5(2g-30) - 210

g = 10g - 150 - 210

g = 10g - 360

360 = 10g - g

360 = 9g

g = 360/9

g = 40 girls originally

find b

b = 2(40) - 30

b = 50 boys originally

" How many students attended the party?"

40 + 50 = 90 students

Answer:

-20/343

Step-by-step explanation:

Answer:

[tex]\sqrt[5]{y^3}[/tex]

Step-by-step explanation:

[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]

Answer:(3/25)

Step-by-step explanation: just had this question