What is the volume of the pyramid below?

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

Answer:

Step-by-step explanation:

Prime factorize 121 and 99

121 = 11 * 11

99 = 11 * 3 * 3

Common factor = 11

Answer:

Step-by-step explanation: This means the hypothenuse and the Adjacent are equal  b= x thus the double lines indicates and they are opposite to 6

Answer:

D

Step-by-step explanation:

Got it from the person above me

Answer:

The answer is number 2. hope that helps

Answer:

(3,-12)

Step-by-step explanation:

the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically)  will cause B to translate to coordinates (3, -12)

.......19 is the answer need any explanation????

Answer:

easy-peasy

Step-by-step explanation:

Perimeter:

P=2(a+b)

P=2(50+70)

P=2(120

P=240

Area:

A=50*70

A=3,500

I really hope it helped:)

Answer:

Step-by-step explanation:

Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is

C = πd and

C = (3.1415)(50) so

C = 157.075

Now we add in the 2 straight edges of the field to get the perimeter:

P = 120 + 120 + 157.075 and

P = 397.075 m

The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.

The area of the rectangle is length times width: A = 120(50) so A = 6000

The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.

Add these 2 areas together to get the area of the whole field:

6000 + 1963.495 = 7963.495 meters squared

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

a box has a length of 6x inches

the width equals one third the length

the height equals half the length.

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

Therefore:-

The value of x is 27.

a box has a length of 6x inches

so,

But,the width equals one third the length

again,the height equals half the length.

Volume of a rectangle box=l×b×h

From the question,

if the volume equals 972 cubic inches,

.°.The value of x is 27.

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

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Answer:

360 calories: 90/(3/4)=120

Step-by-step explanation:

I think sorry if im wrong

Answer:

A/w = l

Step-by-step explanation:

A = lw

Divide each side by w

A/w = lw/w

A/w = l

Answer:

B

Step-by-step explanation:

(4x^-2)^4

256x^-8

256 * 1/x^8

256/x^8

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

Answer:

10

Step-by-step explanation:

not sure please verify

Answer:

The answer is victor

peter paid : 15 for 1 pizza

victor paid : 16.875

George paid : 16

Hope it helps

Answer:

Victors pizza

Step-by-step explanation:

Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza

George paid 32 for 2 pizzas which if we divide it 16 for each pizza

Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.

If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.

Hope this helps

:)

Answer:

[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48   <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29      -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

   -14     -14

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

3x = -12

3        3

x = -4

Therefore our final answer is (-4,2)

Answer:

-12

Step-by-step explanation:

x=6

g(6)=-2*6=-12. Answered by Gauthmath

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4

Answer:

(a) 320 cm²

(b) 75 cm³

Step-by-step explanation:

The scale factor from A to B is 8/4 = 2.

The scale factor of the areas is 2² = 4.

The scale factor of the volumes is 2³ = 8.

(a)

80 cm² * 4 = 320 cm²

(b)

600 cm / 8 = 75 cm³

The required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
               

Given that,
The base of shape A is a circle with a radius of 4 cm
The base of shape B is a circle with a radius of 8 cm.

Surface area is defined as the area of the surface that is uncovered.

Here,
1)
The scale factor of area = 8²/4² = 4
The surface area of shape B = 4 surface area of shape A.
The surface area of shape B = 4 * 80
                                                = 320 cm²

2)
The scale factor of volume = 8³ / 4³ = 8
The volume of shape B = 8 *  the volume of shape A.
The volume of shape A = 600 / 8
The volume of shape A = 75 cm³

Thus, the required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
   

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer:

42 degrees

Step-by-step explanation:

Since m and n are parallel, that is a transversal

So 24=(x-18) because of exterior angle property

so x - 18 = 24

We bring - 18 to the other side so it becomes + 18

x = 24 + 18

x = 42

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

Answer:

(9/4,3/4) or (2.25, 0.75)

Step-by-step explanation:

The dilation is 1/4. We can tell this by looking at (8,12) and (2,3). 8*1/4=2 and 12*1/4=3. So therefore we just need to times 9 and 3 by 1/4. 9*1/4=2.25 or 9/4 and 3*1/4=0.75 or 3/4. so the dilation (9/4, 3/4). I believe this is correct but if I am not please tell me.

Answer:

its letter c

Step-by-step explanation:

I hope this help

#9. C

A negative sign on the outside of the function indicates a reflection in the y-axis.

A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.

Hope this helps!