sin(**) =
A. – V2
2
B. 3
2
c
C. V2
2
D.
2

Given:

PQRS is a rectangle.

[tex]PS=5\ cm,\ PR=13\ cm[/tex]

To find:

The length of SR and QS.

Solution:

We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].

According to the Pythagoras theorem, in a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem in triangle PRS, we get

[tex]PR^2=PS^2+SR^2[/tex]

[tex]13^2=5^2+SR^2[/tex]

[tex]169-25=SR^2[/tex]

[tex]144=SR^2[/tex]

Taking square root on both sides.

[tex]\sqrt{144}=SR[/tex]

[tex]12=SR[/tex]

So, the measure of SR is 12 cm.

We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,

[tex]PR=QS[/tex]

[tex]13=QS[/tex]

Therefore, the length of SR is 12 cm and the length of QS is 13 cm.

Answer:

In the Hindu caste system, the farmers and merchants are known as the Vaishyas.

Hope it will help :)❤

Answer:

It would end at 9:38

Step-by-step explanation:

but obviously it is not one of the answer choices, so I would go with 9:42

Answer:

108.37

Step-by-step explanation:

Give me Brainllest T-T

Answer:

D 108.37

Step-by-step explanation:

Answer:

5.06

Step-by-step explanation:

hope this helps

(if correct, can u plz mark as brainliest?)

Answer:

8.92 mm

Step-by-step explanation:

thickness of combination = (3.86)2 + 1.2 = 5.06 + 3.86 = 8.92 mm

I edited its correct now plz mark me

Answer:

$24.57

$15.43

Step-by-step explanation:

Cost per pint of ice cream = $2.73

Number of pints purchased = 9

Total cost = cost per pint * Number of pints

Total cost = $2.73 * 9 = $24.57

If she paid $40

Change collected = $40 - $24.57 = $15.43

Answer:

6 units

Step-by-step explanation:

Here, The distance between two points is 6 units

-TheUnknownScientist

Answer:

it is 20 if I am not mistakin

Answer:

[tex](4w + 4) + < de + (2w + 11) = 180 \\ < de = 180 - 4w - 4 - 2w - 11 \\ < de = (165 - 6w)[/tex]

Answer:

here

Step-by-step explanation:

123cm is the answer

Answer:

Number of friends in the group = 9

Step-by-step explanation:

Number of cards in the package = 108

Number of cards each friend gets = 12

How many friends were in the group?

Number of friends in the group = Number of cards in the package / Number of cards each friend gets

= 108 / 12

= 9

Number of friends in the group = 9

Answer:

266.15

Step-by-step explanation:

3460 dividido por 13 personas = 266.15

Answer:

I think the answer is D. A variable of interest. I'm so sorry if I'm wrong.

Answer:

40

Step-by-step explanation:

add 80 and 60

subtract 140 from 180

180-140=40

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

Answer:

59.00

Step-by-step explanation:

kind of common sense

Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

Answer:

x = 6

Work -

13x = 78

divide 13 on both sides to isolate x. 78 divided by 13 gives us 6, and 13/13 =1.

1 times x is x,  as you can see, we have isolated x on one side. On the other side, we got 6, so x = 6

Answer:

48

Step-by-step explanation:

5 songs would equal 12 minutes, right?

5 times what equals 20? It's 4, so you take 12 times 4 since there'd be 4 times as many songs. So, to listen to 20 songs it'd take 48 minutes.

Answer:

A

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

[tex]x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36[/tex]

Answer: 21

Step-by-step explanation: at the bottom it said "Y-intercepts have an x value of 0." and when we look at the numbers, y is at 21 when x is at 0.

Part A

Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"

Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8

So this means that the largest we can measure is 18.74 and it is the upper bound we're after.

=========================================================

Part B

We use the same idea as part A, but now we're extending out one more decimal place.

We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374

By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm

Answer:

90,597 square inches

Step-by-step explanation:

In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.

We solve using Heron's formula

A = √s(s -a)(s - b) (s - c)

s = a + b + c/2

a = 410 inches

b = 530 inches

c = 830 inches

Hence,

s = 410 + 530 + 830/2

s = 885

A = √885(885 - 410)(885 - 530)(885 - 830)

A = 90,597.030166557 square inches

Approximately = 90,597.0 square inches

Answer: [tex](0,0), (3,-27)[/tex]

Step-by-step explanation:

Given

Curve is [tex]y=x^4-4x^3[/tex]

The stationary point on a differentiable function is the points where the differentiation of the function is zero i.e. slope is zero at that point.

Differentiate the curve [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f'(x)=4x^3-12x^2[/tex]

Equate it to zero

[tex]\Rightarrow 4x^3-12x^2=0\\\Rightarrow 4x^2(x-3)=0\\\Rightarrow x=0,0,3[/tex]

Put [tex]x=0,3[/tex] in the function [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f(0)=0\\\Rightarrow f(3)=3^4-4(3)^3\\\Rightarrow f(3)=81-108\\\Rightarrow f(3)=-27[/tex]

Therefore, the stationary points are [tex](0,0), (3,-27)[/tex]

Answer: (w² + 10)inches²

Step-by-step explanation:

Since the width of the rectangular blanket is given as w and the length of the blanket is 10inches greater than it's width, therefore the length will be:

= 10 + w.

Therefore,

length = 10 + w

width = w

Area = length × width

Area = (10 + w) × w

Area = 10w + w²

Therefore, the area of the blanket will be (w² + 10)inches².

Answer:

7 gallons

Step-by-step explanation:

38*5= 190

190/29

6.551

= 7

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Answer: n divided by 4!

Step-by-step explanation: If its a quotient, it means division!