If the length of SR is 4 m in the length of ST is 8 m what is the length of PQ in meters?


A. Square root of 80 m


B. Square root of 24 m


C. Square root of 68 m


D. Square root of 144 m

Answer:

D) 2² × 3³ × 7

Step-by-step explanation:

Hope this helps! Have a nice day :)

Answer:

l = 420 cm

Step-by-step explanation:

20.

Central angle  = 60°

The radius of circle, r = 7 cm

We need to find the length of the arc. We can find it as follows :

[tex]l=r\times \theta\\\\l=7\times 60\\\\l=420\ cm[/tex]

So, the length of the arc is equal to 420 cm.

Answer:

[tex]\frac{4\sqrt{5} }{5}[/tex]

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer:

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Given:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{To Find:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Using Formula:}}}}}}\end{gathered}[/tex]

[tex] \dag{\underline{\boxed{\sf{ S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

Where

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Solution:}}}}}}\end{gathered}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{P \times R \times T}{100}}}}}}[/tex]

Substituting the values

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 30\times 4}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 120}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{3600000}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\cancel{\dfrac{3600000}{100}}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{Rs.36000}}}}}[/tex]

[tex]{\dag{\underline{\boxed{\sf{ S.I ={Rs.36000}}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Learn More:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

INTEREST=P*T*R/100

=30000*4*30/100

=3600000/100

=36000

Step-by-step explanation:

Therefore ,simple interest is 36000

9514 1404 393

Answer:

  80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

__

Here, the base is a triangle. The formula for its area is ...

  A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

  A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

__

Using the above base area and pyramid height, we find the volume of the pyramid is ...

  V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

E) 48

Step-by-step explanation:

uhh I honestly have no idea hot to explain it but lemme try

so if you draw a line where the hypotenuse and the 4 in meet, you make a rectangle and a triangle then you can use Pythagorean Theorem to find the length of the unknown side and add them all together

Answer:

x = 3

Step-by-step explanation:

Mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

Thus;

( 4 + 8 + 9 + x + 2x)/5 = 6

(21 + 3x)/5 = 6

21 + 3x = 6(5)

21 + 3x = 30

3x = 30-21

3x = 9

x = 9/3

x = 3

Answer:

Midpoint is (0, -4)

Step-by-step explanation:

x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0

y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4

Midpoint is (0, -4)

Answer:

(0,-4)

Step-by-step explanation:

(x1 + x2/2,  y1 + y2/2)

(-7 + 7/2 ,  3 + -11/2)

(0/2,  -8/2)

(0,-4)

Answer:

its 10:25 :)

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Since,

The hour hand is just slightly up than 10 and minute hand is on 5.

Which denotes 10:25

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

Answer:

X=(-2)

Step-by-step explanation:

8(-2)=(-16)

so -16+4=(-12)

Answer:

3:54

Step-by-step explanation:

1 hour and 36 minutes after 2:18 is 3:54

Answer: C. Pyramid

Step-by-step explanation:

A cylinder is kind of like a paper towel roll.

A Rectangular prism is more like a cube.

A cone has a round part on the bottom.

And a Pyramid is this ...

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

Answer:

2.7, 3, 6

Step-by-step explanation:

Answer:

rang is 31

Step-by-step explanation:

Answer:

119 in

Step-by-step explanation:

you just have to find the area of each shape individually and add them!

As we can see, we have a square base and 4 triangles. each triangle has the same area because the base is a square and they all have a height of 5. so, the area of a triangle is

[tex]a = \frac{1}{2} bh[/tex]

thus, each triangle is

[tex]a = \frac{1}{2}( 7 \times 5) = \frac{1}{2} (35) = 17.5[/tex]

since we have 4 triangles we can add this together 4 times or multiply by four.

[tex]4 \times 17.5 = 70[/tex]

now, we just need to add the area of the base. the area of a square is

[tex]a = {s}^{2} [/tex]

or

[tex]a = s \times s[/tex]

so, the area of the square is

[tex]a = {7}^{2} [/tex]

or

[tex]a = 7 \times 7[/tex]

which both equal 49.

now, we can add 49 to our sum of the area of our triangles, so

70+49= 119in

Hope this helps!

Answer:

bro its D and your taking your math finals lol

Step-by-step explanation:

Answer:

The radius of each base is 4.46 inches.

Step-by-step explanation:

The surface area (SA) of a cylinder is given by:

[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex]   (1)

Where:

r: is the radius of each base

h: is the height of the cylinder

Now, the lateral area (LA) is:

[tex]LA = 2\pi rh = 200[/tex]   (2)

Hence, by entering equation (2) into equation (1) we have:

[tex] SA = LA + 2\pi r^{2} [/tex]                  

[tex] 325 = 200 + 2\pi r^{2} [/tex]

[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]

Therefore, the radius of each base is 4.46 inches.

I hope it helps you!                                                                

Answer:

B; 1

Step-by-step explanation:

Firstly, we need to find the inverse of the given function

Let us have f(x) as y

To find the inverse, we set out to make x the formula subject

Thus;

y = √(3x + 6)

square both sides

y^2 = 3x + 6

3x = y^2 - 6

x = (y^2 - 6)/3

To write the inverse, replace y by x

So we have the inverse of the function as ;

(x^2 - 6)/3

So what we have to do here is to substitute 3 for x in the inverse

We have this as;

(3^2 -6)/3

(9-6)/3

= 3/3 = 1

Answer:

1 ( option B )

Step-by-step explanation:

The given equation is ,

[tex]\implies f(x) =\sqrt{ 3x + 6 }[/tex]

Now substituting y = f(x) , we have ,

[tex]\implies y=\sqrt{ 3x + 6 }[/tex]

For finding the inverse , Interchange x and y , we have ,

[tex]\implies x =\sqrt{ 3y + 6 }[/tex]

Now solve for y , we have ,

[tex]\implies x ^2=3y + 6 \\\\\implies 3y = x^2-6 \\\\\implies y =\dfrac{x^2-6}{3} [/tex]

Now replace y with f-¹(x) , we have ,

[tex]\implies f^{-1}(x) =\dfrac{x^2-6}{3} [/tex]

Now put x = 3 , we have ,

[tex]\implies f^{-1}(3) =\dfrac{3^2-6}{3}\\\\\implies f^{-1}(3) = \dfrac{9-6}{3}\\\\\implies \underline{\underline{ f^{-1}(3) = 1 }} [/tex]

Answer:

113.04 km²

Step-by-step explanation:

Formula - Area = πr²

= 3.14 * 6²

= 113.04 km²

Answer:

3

Step-by-step explanation:

length

width

height

Answer:

0.5 cents per pound.

4.50/9 = 0.5

Please mark me brainliest! I hope this helps!

Answer:

P = a + b + c + d

Step-by-step explanation:

Remember that perimeter is the measure of the outer edge of a shape, or otherwise, the sum of the measures of the sides of the trapezoid. Representing the perimeter by P, and the sides as a, b, c and d, our formula is P = a + b + c + d.

Answer:

90

Step-by-step explanation:

????????????

Step-by-step explanation:

?????????

Answer:

2 years

Step-by-step explanation:

5%× 600= $30

$30×2=$60

not sure if you will get what I mean but that's how I worked it out.

Answer:

[tex]I = \frac{PRT}{100}[/tex]

P= $600

R= 5%

[tex]I = \frac{600 \times \ 5 \times T}{100} = 30T\\\\[/tex]

A = double the deposit =2  600= $1200

[tex]A = I + P \\1200 = 30T + 600\\30T = 600\\T = 20[/tex]

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

[tex]{( \sqrt[3]{{x}^{2}})}^{6} = {({x}^{ \frac{2}{3}})}^{6} = {x}^{ \frac{2}{3} \times 6 } = {x}^{2 \times 2} = {x}^{4} \\ [/tex]

So the answer is the second option which is,

[tex] {x}^{4} [/tex]

Answer:

838.08 in³

Step-by-step explanation:

volume of tank = (36×24×24)+(½×3.14×12²×24)

= 20,736 + 5,425.92

= 26,161.92 in³

the remaining water = 27,000 - 26,161.92

= 838.08 in³