2x
P
10nº
8 nº
R
S
x + 3
PQRS is a parallelogram. Find each measure.
RS-
type your answer....
angle S =
type your answer...
angle R=
type your answer...

Answer:

There are 6 men in the dance recital.

Step-by-step explanation:

We have a ratio of 2:5, men to women. If there are 15 female performers we can do a cross multiplication to find the males performers:

Then it will be

[tex]\tt \frac{15}{x} =\frac{5}{2}[/tex]

[tex]\tt 5x=15*2[/tex]

[tex]\tt 5x=30[/tex]

[tex]\tt x=\frac{30}{5}[/tex]

[tex]\tt x=6[/tex]

[tex]\tt Therefore,there~are~6~Men~at~the~dance[/tex]

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Answer:

6,16

Step-by-step explanation:

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to the nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

[tex]\bold{\huge{\green{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

In the given right angled triangle, we have

Now, By using trigonometric ratios

[tex]\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}[/tex]

[tex]\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}[/tex]

[tex]\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}[/tex]

According to the question :-

[tex]\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{\red{ m = 2√2 \: units }}[/tex]

Therefore,

Let the unknown angle be x

[tex]\sf{ 45° + x + 90° = 180° }[/tex]

[tex]\sf{ x = 180° - 135 ° }[/tex]

[tex]\sf{ x = 45° }[/tex]

Now,

[tex]\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold { n = 2√2/√2 }[/tex]

[tex]\bold{\red{ n = 2\: units }}[/tex]

Thus, The value of m = 2√2 and n = 2

[tex]\sf{\blue{ Hence, \: option \: D \: is \: Correct }}[/tex]

Answer:

[tex]V = \frac{1}{2} LBH \\ \\ \\ LH =V \div ( \frac{1}{2} B) \\ \\ LH =V \times \frac{2}{B} \\ \\ \\LH = \frac{2V}{B} [/tex]

Answer:

2/5, 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100 ...

Percentage

8% x 75%.x = 6

0.06x = 6

x = 100

By iteratively substituting, we have

[tex]a_n = a_{n-1} + n[/tex]

[tex]a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)[/tex]

[tex]a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)[/tex]

and the pattern continues down to the first term [tex]a_1=0[/tex],

[tex]a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))[/tex]

[tex]\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)[/tex]

[tex]\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k[/tex]

Recall the formulas

[tex]\displaystyle \sum_{n=1}^N 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]

It follows that

[tex]a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2[/tex]

[tex]\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1[/tex]

[tex]\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}[/tex]

Answer: The answer is 50

Step-by-step explanation:

I did the test

Answer:

(x³+2x²-2x)-(-3x³+4x²-x)

(x³+2x²-2x)+(3x³-4x²+x)

(x³+3x³)+(2x²-4x²)+(-2x+x)

4x³-2x²-x ----you may write till here.

But, if not satisfied, factorize it

x(4x²-2x-1)

please mark brainliest

Answer:

Step-by-step explanation:

Let the width of the pool deck be x.

We have equation:

1)

2)

Correct choice is B

The width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

Here, we have to find the width of the pool deck, we need to calculate the total area occupied by the pool and the deck and then find the value of x that makes the total area equal to 1,408 square feet.

First, let's calculate the area of the pool.

The pool is 12 feet by 24 feet:

Area of the pool = Length × Width

Area of the pool = 12 ft × 24 ft

Area of the pool = 288 ft²

Now, we want to add the deck around the pool.

The length and width of the entire area (pool + deck) will be (12 + 2x) feet and (24 + 2x) feet, respectively, because we add x feet to both sides of the pool.

Area of the entire area (pool + deck) = (12 + 2x) ft × (24 + 2x) ft

We want this area to equal 1,408 square feet:

(12 + 2x) ft × (24 + 2x) ft = 1,408 ft²

Now, we can solve for x:

(12 + 2x) × (24 + 2x) = 1,408

Expand the equation:

288 + 48x + 24x + 4x² = 1,408

Combine like terms:

4x² + 72x - 1,120 = 0

Now, let's solve this quadratic equation for x.

We can either factor it or use the quadratic formula:

Using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = 72, and c = -1,120.

x = (-(72) ± √(72² - 4 * 4 * -1,120)) / 2 * 4

x = (-72 ± √(5,184 + 17,920)) / 8

x = (-72 ± √23,104) / 8

x = (-72 ± 152) / 8

Now, we have two possible solutions:

x = (-72 + 152) / 8

x = 80 / 8

x = 10

x = (-72 - 152) / 8

x = -224 / 8

x = -28

Since we are interested in a positive width for the deck, the width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

To learn more on Area click:

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Answer:

The value of x is 20 degrees.

Step-by-step explanation:

The three angles of a triangle must equal 180 degrees.

100 + 40 + 2x = 140 + 2x

180 - 140 = 40 (goal)

2(x) = 40

2(20) = 40

A) 20 degrees

Answer:

-20/3

Step-by-step explanation:

m = ∆y/∆x

∆y = -8 - 12 = -20

∆x = 8 - 5 = 3

Hence m= ∆y/∆x = -20/3

Answer:

5 hours, and 30 minutes ago, which would be 7:15 AM

Step-by-step explanation:

add hours, then minutes, then subtract both times: 12:45 - 5:30 = 7:15

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

thus:

0.65T * (2000lb / 1 T) = 1300 lbs

Hope that helps!

Answer:

10³⁰

Step-by-step explanation:

firstly working out without the power of 3

[tex]( \frac{10 {}^{15} }{10 {}^{5} } )[/tex]

this is the same as 10¹⁵ ÷ 10⁵

here the bases are the same and it's division so we subtract the powers

15 - 5 = 10

10¹⁵ ÷ 10⁵ = 10¹⁰

we are left with (10¹⁰)³, multiply the powers

10 × 3 = 30

final answer = 10³⁰

Hey there!

(10^15/10^5)^3

10^15

= 1,000,000,000,000,000

10^5

= 10 * 10 * 10 * 10 * 10

= 100 * 100 * 10

= 10,000 * 10

= 100,000

(1,000,000,000,000,000/100,000)^3

= (10,000,000,000)^3

= 10,000,000,000 * 10,000,000 * 10,000,000

= 100,000,000,000,000,000 * 10,000,000

= 10^30

Therefore, your answer is: 10^30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The histogram for the data is given at the end of this answer.

An histogram is a graph that shows the number of times each element of x was observed.

In this problem:

Hence, the graph given at the end of this answer is the histogram.

You can learn more about histogram at https://brainly.com/question/2962546

Answer:

1+1=2

Step-by-step explanation:

as we know that one is made up of 1/2+1/2=1

so 1/2+1/2+1/2+1/2=2

hope this helps you

have a great day :)

Answer:

I think its 2nd one

HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)

Answer:

F(x) is greater.

Step-by-step explanation:

f(2) = 2 + 1

(2,3)

Have a good day!

Answer:

F(x) is greater.

Step-by-step explanation:

Answer:

A = ks^2

I hope this helps :D

Answer:

9cm

Step-by-step explanation:

a square has 4 equal sides therefore if you divide 36 by 4 you will get the length of 1 side

Answer:

A. x = 4

Step-by-step explanation:

[tex]\sqrt{4} +9=2+9=11[/tex]

Hope this helps

Answer:

     A.  [tex]x =4[/tex]

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

L = library

A = animal shelter

A = 5L

20 = 5L

20 ÷ 5 = 5L ÷ 5

4 = L(L = 4)

4 + 20 = 24

Answer:

  594 in²

Step-by-step explanation:

There are several ways to do this.

Given the way the figure is dimensioned, the last strategy is the easiest.

A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.

The area of a rectangle is the product of its length and width:

  A = LW

So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...

  shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²

  shaded area = 594 in²

_____

Additional comment

You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.

Answer:

use Pythagoras theorem and a graph to be fluent in this

Step-by-step explanation:

answer is 2sqr(7)

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug in the given points into the equation:

[tex]Slope=\frac{-6-(-2)}{1-8}=\frac{-6+2}{-7}=\frac{-4}{-7}=\frac{4}{7}[/tex]

Answer:

B. H(w) gets very small.

Step-by-step explanation:

This should be the answer you're looking for

From the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

As we know, It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph shown in the picture.

From the graph:

H(w) represents the vertical axis or y-axis and w represents the horizontal axis or x-axis.

H(w) is decreasing as the w increasing

Thus, from the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.

Learn more about the exponential function here:

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10

Answer:

[tex] - 1(2)( - 5) \\ - 2 \times ( - 5) \\ = 2 \times 5 \\ 10[/tex]

Answer:

10

Step-by-step explanation:

-1(2)(-5)

-1(-10) = 10

[RevyBreeze]

Answer:

241/20 or 24.05 0r 481/20

Step-by-step explanation:

First simply your fractions

then add 6+4 to your fractions !!

Answer:

24 1/20 meters

Step-by-step explanation:

To find perimeter, you add all the side lengths.

6 4/5 + 4 + 6 + 7 1/4 = 24 1/20