9. Find the measure of arc UPT.

Answer:

38 degrees

Step-by-step explanation:

To get the answer, we need to subtract the first angle from the second angle:

84-46=38

The minute hand turned 38 degrees from its first to second position.

How to check the answer? Use inverse operations.

46+38=84

Answer:

[tex] \sqrt{ {(6 + 2)}^{2} + {(8 - 2)}^{2} } \\ \sqrt{64 + 36 } \\ \sqrt{100 } \\ 10[/tex]

Using proportions, it is found that the original angle is of 2250º. The co-terminal angle is of 90º, which has sine equals to 1.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion considered in this problem is that 2pi  is equivalent to 360º and we want to find the equivalent angle to 200pi/16, hence the rule of three is given by:

2 pi - 360º

200pi/16 - x º

Applying cross multiplication:

[tex]x = \frac{1}{2\pi} \times 360 \times \frac{200\pi}{16}[/tex]

[tex]x = 2250^\circ[/tex]

The original angle is of 2250º.

To find the co-terminal angle, we find the remainder of the division of 2250 by 360, hence it is of 90º, which has sine equals to 1.

More can be learned about proportions at https://brainly.com/question/24372153

Step-by-step explanation:

the diagonals of a parallelogram are crossing each other exactly at their midpoints. that means the lengths of both sides of a diagonal are equal.

so, we get

x = 7y - 16

and

2x + 5 = 5y

we can use the first equation as an identity directly in the second equation and get

2(7y - 16) + 5 = 5y

14y - 32 + 5 = 5y

14y - 27 = 5y

9y - 27 = 0

9y = 27

y = 3

x = 7y - 16 = 7×3 - 16 = 21 - 16 = 5

Answer:

Given expression ,

[tex]\bold\purple{5y + \frac{x}{z}} \\ [/tex]

Also ,

value of x = 12

value of y = 8

value of z = 3

Substituting the values of x , y and z in the expression given , we get

[tex]\bold{⇢5(8) + \cancel{\frac{12}{3} }} \\ \\ \bold{ ⇢40 + 4} \\ \\ \bold\red{ ⇢44}[/tex]

hope helpful~

Hello.

First, let's plug in the values of the variables.

x=12

y=8

z=3

[tex]\mathrm{5(8)+\displaystyle\frac{12}{3}}[/tex]

5 times 8 equals 40:

[tex]\mathrm{40+\frac{12}{3}}[/tex]

12 divided by 3 equals 4:

[tex]\Large\boxed{44}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Solving steps:

Question:5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together.

Find:the probability that all girls sit together.

Solution: 5 boys and 4 girls, 9 kids in all, can be seated in a row in 9! ways. In order to find the number of ways, where the 4 girls are seated together, we place them in an imaginary group Z, so that they are not separated in the seating arrangements. Now we have 6 entities, namely 5 boys and one group of girls, and the number of ways of their seating is 6!. For each of these 6! ways, the 4 girls can be seated within the group Z in 4! ways. So the number of ways in which the 4 girls are seated together, is 6!/4!.

So the probability, as requested, is (6!4!)/9! = 24/(7x8x9) = 1/21

Answer:

2√34

Step-by-step explanation:

→ Find the difference between the x coordinates

-4 - 6 = -10

→ Find the difference between the y coordinates

2 - 8 = -6

→ Use Pythagoras

√ -10² + 6²= 2√34

Answer:

ok ez

Step-by-step explanation:

a) 119/1009=11.79%

b) 264/1009=26.17%

c) 75/1009= 7.43%

d) 9/1009= 0.89%

u are welcome :)

Answer:

There were 5 students in the back of the room.

Step-by-step explanation:

8x3=24

Which means that there were 24 students on the stage

Then...

29-24=5

Which means that there were 5 students in the back of the room.

Thanks!

Answer:

448

Step-by-step explanation:

This is  a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.

height ratio  shadow ratio

40 cm / x = 25 / 280             Cross multiply

25x = 40 * 280                      Combine

25x = 11200                            Divide by 25

x = 11200/25

x = 448 cm

The height of the corn plant is 448 cm

Answer:

20:40

Step-by-step explanation:

Because part of the ratio is the total number of berries, we need to add up all of the berries.

20+15+5=40

The number of strawberries picked is 20, so the ratio is 20:40

Answer:

$6525

Step-by-step explanation:

I rewrote the problem before because the ratios are not clear in the given problem.

------------------------------------------------------------------------------------------

Arjun and Gretal each pay rent.

In 2018, the ratio of the amount each paid in rent was Arjun:Gretal=5:7.

In 2019, the ratio of the amount each paid in rent was Arjun:Gretal=9:13.

Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.​

------------------------------------------------------------------------------------------

2018: Arjun/Gretal = 5x/7x

2019: Arjun/Gretal = 9y:13y

5x = 9y

13y = 7x + 290

Solve the first equation for x. Substitute in second equation.

x = 9y/5

13y = 7(9y/5) + 290

Multiply both sides by 5.

65y = 63y + 1450

2y = 1450

y = 725

In 2019, Arjun's rent was 9y.

9y = 9(725) = 6525

Answer: $6525

Check:

Solve for x.

x = 9y/5 = 9(725)/5 = 1305

Now we find Arjun's and Gretal's rents in both 2018 and 2019.

2018: Arjun 5x = $6525; Gretal 7x = $9135

2019: Arjun 9y = $6525; Gretal 13y = $9425

Arjun's rent is the same in both 2018 and 2019 as the problem states.

Gretal's rent is $290 more in 2019 than in 2018 since $9425 - $9135 = $290.

This confirms the answer $6525 is correct.

Answer:

48 feet.

step-by-step explanation:

using Pythagoras theorem:

a² + b² = c²

h² + 55² = 73²

h² = 73² - 55²

h² = 5329-3025

h² = 2304

h = √2304

h = 48

Answer:

x = 48 ft

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for x:

⇒ x² + 55² = 73²

⇒ x² + 3025 = 5329

⇒ x² = 5329 - 3025

⇒ x² = 2304

⇒ x = ±√2304

⇒ x = ±48

Since distance is positive, x = 48 ft

Answer:

  (a)  -5

Step-by-step explanation:

The vertical scale factor for the graph and the function can be found by comparing the y-value of a point on f(x) to the y-value of a point on g(x). The graph conveniently marks two corresponding points with these y-values:

  f(-2) = 2

  g(-2) = -10

The value of k in g(x)=k·f(x) is the ratio of these y-values:

  k = g(-2)/f(-2) = -10/2 = -5

The value of the vertical scale factor k is -5.

Answer:

1.75/n

Step-by-step explanation:

1.75 divided by n is equal to 0.35

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56

Answer:

2

Step-by-step explanation:

Use z score formula.

55 is x

plug in u and sd.

Answer:

A, C.

Step-by-step explanation:

A function is a relationship between two variables. Another definination is that it relates an input to an output. In the answer A, x is the input. Y changes based on x.

Answer:

C≈31.42in

d Diameter

Hope it helps

Have a good day

Answer:

9,508.8 dollars spent

Step-by-step explanation:

subtraction.

Answer:

$9,508.8

Step-by-step explanation:

10,000-491.2=ans

Answer:

11.4

Step-by-step explanation:

Subtract 14-7 to get the height of the triangle. 9 is the width.

Now we need to find the hypotenuse which is c^2=a^2+b^2

x^2=7^2+9^2=11.4

Let me know if this helped <3

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

Any equation of the form [tex]ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

[tex]$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$[/tex]

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

[tex]$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$[/tex]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : https://brainly.com/question/1214333

Answer:

C) Penelope should have added 4 to both sides instead of adding 1.

Step-by-step explanation:
Got it right on edge! Good Luck <3

Answer:

Reduce the expression, if possible, by canceling the common factors.

Exact Form:

15/32

Decimal Form:

0.46875

Step-by-step explanation:

Good Luck!

Answer:

hope this helps

Step-by-step explanation:

Searching it up gives your answer right then and there.

The first record of zero was founded in Mesopotamia 3 B.C

Inventor:

The Mayans invented it independently circa 4 A.D

Then it was only then during mid-fifth century it spread to Cambodia

Near the end of seventh century it went to China, and Islamic counties at the end of the eighth century.

(Correct me if I'm wrong not all website's are reliable,So sorry if I'm wrong.)

Answer:

vertex: (0,-1)

axis of symmetry: x=0

The price of the bed is $376.2

From the question, we have the following parameters that can be used in our computation:

Discount = 10%

Original selling price = $380

Markup = 10%

The price of the bed is calculated using

Price = Original selling price * (1 - Discount) * (1 + Markup)

Substitute the known values in the above equation, so, we have the following representation

Price = 380 * (1 - 10%) * (1 + 10%)

Evaluate

Price = $376.2

Read more about discount at

https://brainly.com/question/7459025

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