6.
Find the value of y.
160°
60°
50°

Answer:

[tex]5820[/tex] square inches

Step-by-step explanation:

For the rectangular prism in the middle:

[tex]24*30=720*2=1140[/tex]

[tex]10*30=300*2=600[/tex]

[tex]1140+600=1740[/tex]

For the left triangular prism:

[tex]10*24=240[/tex]

[tex]26*30=780[/tex]

[tex]24*30=720[/tex]

[tex]10*30=300[/tex]

[tex]240+780+720+300=2040[/tex]

For the other right triangular prism, it's the same.

Let's add now to find the surface for the whole ramp.

[tex]1740+2040+2040=5820[/tex]

Hope this is helpful to you

Answer:

x = 4

Step-by-step explanation:

I think this is correct

Answer:

An algebraic expression is a type of expression that contains a variable or variables.

Answer:

x = 26

Step-by-step explanation:

x+64 is a right angle

x+64 = 90

Subtract 64 from each side

x = 90-64

x = 26

Answer:

x = 26°.

Step-by-step explanation:

This is a complementary angle. Complementary angles are two angles that have a sum of 90°.

[tex]90-64=26.[/tex]

[tex]26+64=90.[/tex]

[tex]x=26.[/tex]

Answer:

m<ABC  = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC  = 51degrees

The measure of angle ∠ABC  = 51 degree.

Since we know that,

For a circle,

The angle at the vertex is half the difference of the angles at the intercepted arcs.

Therefore,

m∠ABD = 1/2 (arcAD - arcAC)

⇒   ∠ABC = (1/2)(17x + 2 -(7x - 10°))

⇒  4x + 15 = (1/2)(17x-7x+2+10)

⇒2(4x+15) = 10x+12

⇒ 8x + 30 = 10x+12

⇒   8x-10x = 12-30

⇒         -2x = -18

⇒             x = 18/2

⇒             x = 9

Get m∠ABC

⇒ m∠ABC = 4x + 15

⇒ m∠ABC = 4(9) + 15

⇒ m∠ABC = 36 + 15

⇒ m∠ABC  = 51 degree

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Step-by-step explanation:

This problem is a bit tedious to work out all at once. The first student opens every locker so lockers 1 to 50 are open.

The second student closes every two lockers so every even locker is closed while every odd locker is open. This will repeat over and over and will take too long.

An alternative for this would be checking the factors of each number. For example, 4 has three unique factors, which are 1, 2 and 4. The number of unique factors determine whether the locker is open or closed. In this case, locker 4 will be open after all 50 students finished. Student 1 opens locker 4, student 2 closes locker 4, student 3 doesn't change locker 4 and student 4 opens locker 4. However, students 5 to 50 will never change the locker.

I can't help put all of the answers at once but this should help.

Round this value however you need to. The exact length is sqrt(319)

In other words, sqrt(319) = 17.8606

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

Work Shown:

Apply the pythagorean theorem to solve for b.

a^2+b^2 = c^2

9^2 + b^2 = 20^2

81 + b^2 = 400

b^2 = 400-81

b^2 = 319

b = sqrt(319)

b = 17.8606 which is approximate

I'm going with the approximate value it makes more sense to do so in this case. Saying "the length is sqrt(319)" to someone not familiar with math, would probably not convey just how long the third side must be. Round the value in bold however you need to.

Answer:

P = -31

Step-by-step explanation:

-1 + 14p = -435

Remove the -1 by adding it from both sides.

14p = -434

Remove the 14 by dividing it from both sides.

p = -434/14

p = -31

Answer:

-31

Step-by-step explanation:

-1+14p=-435

14p=-435-(-1)

14p=-435+1

14p=-434

p=-434/14

p=-31

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

Answer:

64ft

Step-by-step explanation:

The distance between the lions and the monkeys is; 64 ft

From the given diagram, we see two triangles;

Triangle one formed by Zebras, Monkeys, lions.

Triangle two formed by tigers, elephants, lions

Now, from the given triangles we can see that they are similar and using the given dimensions, we can use proportion to find distance between the lions and the monkeys as;

52/78 = x/96

where x is the unknown distance we are looking for

We cross multiply to get;

4992 = 78x

Divide both sides by 78 to get;

x = 64 ft

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Answer:

Hello! answer: x = 50

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees! so...

50 × 3 = 150 150 - 20 = 130

130 + 50 = 190 therefore x = 50 hope that helps!

Answer:

a) There are 4 terms.

b) 2 of them are negative

explanation:

Let's simplify step-by-step.

−3x^2+2y^2+5xy−2y+5x^2−3y^2

=−3x^2+2y^2+5xy+−2y+5x^2+−3y^2

Combine Like Terms:

=−3x^2+2y^2+5xy+−2y+5x^2+−3y^2

=(−3x2+5x^2)+(5xy)+(2y^2+−3y^2)+(−2y)

=2x^2+5xy+−y^2+−2y

Answer:

=2x^2+5xy−y^2−2y

Answer:

Step-by-step explanation:

A. There are 6 terms. Even if there is a variable onto the coefficient, it wouldn't be 2 terms but only 1, in this case, there are 6 terms.

B. If I simplify the number of negative terms, there would be 2 terms.-3x^2,-2y, and -3y^2 are all negative terms in this equation. I can't combine all because one has x as a variable and the other 2 has y. If I simplify both of the negative terms (-2, -3y^2) Ill get -5y^2. -2-3= -5 and just add my other values y and 2 square, and in that case, my final 2 negative terms are -3x^2 and -5y^2

I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho

Step-by-step explanation:

system of Linear Equations 2 variables

hamburger = x

fries = y

Stefan

3x + 4y = $26.5

Nancy

4x + 2y = $29.5

elimination

3x + 4y = $26.5 | ×1 |

4x + 2y = $29.5 | ×2 | -

3x + 4y = $26.5

8x + 4y = $59. -

-5x = $-32,5

x = $-32,5 ÷ -5

x = hamburger = $6.50

I hope this help

Answer:

6 and 7

Step-by-step explanation:

It is vertical angles (plural) - a pair of non-adjacent angles formed when two lines intersect. There are two pair of vertical angles with intersecting lines, they are across from each other.

Answer:

the answer is 3 and 7 third one

Answer:

V = 2304π units³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( where r is the radius ) , then

V = [tex]\frac{4}{3}[/tex]π × 12³

   = [tex]\frac{4}{3}[/tex] π × 1728

   = 4π × 576

   = 2304π units³

Step-by-step explanation:

everything can be found in the picture

The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180

The nth term of an arithmetic sequence is expressed as:

Tn = a +(n - 1)d

where

If -4 is the first term and 10 is the third term, then;

a = -4

a + d = 10

d = 10 - (-4)

d = 14

Determine the 157th term

T157 = -4 + (157 - 1)(14)

T157 = -4 + (156*14)

T157 = 2180

Hence the 157th term of the sequence is 2180

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Answer:

AD = 6

Step-by-step explanation:

If a radius is perpendicular to a chord, then it bisects the chord.

Here XB is the radius, AC is the chord. Given XB and AC are perpendicular to each other. Therefore, XB bisects AC at D.

So,

    [tex]AD = \frac{1}{2} \times AC = \frac{1}{2} \times 12 = 6[/tex]

Answer:

no 379s not in the sequence below

Answer:

-0.0390625

Step-by-step explanation:

each is cut in half

so we do this

20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625

Answer:

What missing side? You're missing a picture.

Answer:

It Should Be A

Step-by-step explanation:

Answer:

option D.

[tex]y \geqslant 2x + 2[/tex]

Step-by-step explanation:

we have two points on the line

using these points to find the equation of the line (shown as red in the figure)

[tex]y - y_{1} = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} (x - x_{1})[/tex]

let,

[tex]y - 0 = \frac{2 - 0}{ 0 + 1} (x + 1) \\ y = 2(x + 1) \\ y = 2x + 2[/tex]

so the equation of the required line (boundary line) is y = 2x+ 2

the shaded portion is represented by inequality :-

so, option D is the answer

Answer:

[tex] - 15[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = (- )[/tex]

So,

[tex] (- 3) \times ( + 5) = - 15[/tex]

hope this helps you.

Have a nice day!

Answer:

-15

Step-by-step explanation:

(-3)*(+5) = -15

Answer:

Heptacontakaitetragon

I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.

Answer:

m∠ABC = 150°

Step-by-step explanation:

180° - 90° = 90°

[tex](2x+14)+(x+7)=90[/tex]

[tex](2(23)+14)+(23+7)=90[/tex]

[tex]((46)+14)+(30)=90[/tex]

[tex](60)+(30)=90[/tex]

[tex]x=23[/tex]

90° + 60° = 150°

Answer:

A Trapezium..................

Answer:

Step-by-step explanation:

take lcm of (2x-1)(x+2)

lcm=(2x-1)(x+2)

=2(x+2)-1(2x-1)/(2x-1)(x+2)

=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)

=2x+4-2x+1/2x^2+4x-x+2

=4+1/2x^2+3x+3

=5/2x^2+3x+3

Answer:

1/2 .Step-by-step explanation: on the number line, draw the number line and mark a point A to represent 1. Now, divide the gap between O and A into two equal parts

Answer:

Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.

Step-by-step explanation:

Answer:

90 + 90 = 180, 45 + 45 = 90

Step-by-step explanation:

Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180

x = 90

Hence both angles will be equal to 90

Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90

x = 45

Hence both angles equal to 45

Hope this helped!