chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down

Using the distance formula, the perimeter of triangle ABC is approximately 40.5 units.

Perimeter = sum of all three sides.

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex] to find the distance between each of the vertices of the triangle.

The given vertices are:

AB = √[(8−(−6))² + (−1−4)²]

AB = √221

AB ≈ 14.9 units

BC = √[(8−0)² + (−1−(−9))²]

BC = √128

BC ≈ 11.3 units

AC = √[(−6−0)² + (4−(−9))²

AC = √205

AC ≈ 14.3 units

Perimeter of △ABC = 14.9 + 11.3 + 14.3

Perimeter of △ABC ≈ 40.5 units

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The value of x in all case is

1. The value of x is 2

2. The value of x is 1

3.The value of x is 57

4.The value of x is 93

If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

1. As the given angle is 90 degree i.e., complementary angle.

So,

54+10x+16=90

20=10x

x=2

2. 65x-12=43x+10  (Vertically opposite angle)

 22x= 22

x=1

3. 72= x+15  (Vertically opposite angle)

x= 57

4.x+244+23=360  (Complete angle)

 x=93

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Based on the relationship of special angles, the values of x are:

1. x = 34

2. x = 9

3. x = 6

Alternate interior angles are equals and corresponding angles are also equal.

Linear pair angles are supplementary.

1. Angles j and a are linear pair angles, therefore:

3x + 15 + 2x - 5 = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170/5

x = 34

2. Angles m and g are corresponding angles, therefore:

4x + 12 = 2x + 30

4x - 2x = -12 + 30

2x = 18

x = 9

3. Angles c and v are alternate interior angles, therefore:

6x + 9 = 3x + 27

6x - 3x = -9 + 27

3x = 18

x = 6

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Answer:

b. x = 123

Step-by-step explanation:

The polynomial written in standard from is -7xy³ - 3x³y + 8x²y² + 4x².

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

In other words the terms are arranged by decreasing order of degrees.

The degree of a polynomial is the exponential value of the variables.

Therefore, the polynomial written in standard from in the options is as follows:

-7xy³ - 3x³y + 8x²y² + 4x²

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Answer:.5 for either side

Step-by-step explanation:there are two sides, both equally likely so their probability must be equal and sun to 1. This condition is met when both probabilities are .5

Answer:

50/50 probability

Step-by-step explanation:

Answer:

The length of one of the sides would be 14 cm.

Step-by-step explanation:

There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)

The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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What is the surface area? 2 mm 3 mm 1 mm square millimeters.

••••••••••••••••••••••••••••••••••••••••••••

- Hence,The square millimeters is 22sqm².

"Problem has been Solve"

(ノ^_^)ノ

Answer :

Surface area is 22mm²

Required solution :

After noticing the question we got to knew that we need to calculate the surface area of cuboid and we've been provided with the values of length, breadth and height of it.

★ Surface area of cuboid :

Substituting values,

>> S.A. = 2 (2 × 3 + 2 × 1 + 3 × 1)

>> S.A. = 2 (6 + 2 + 3)

>> S.A. = 2 (8 + 3)

>> S.A. = 2 (11)

>> S.A. = 2 × 11

>> S.A. = 22

Answer:

Q=8

Step-by-step explanation:

Just multiply the entire first function by 2

therfore

(x-3y=4) * 2

therefore

=2x-6y=8

This is the same as the second function and in it, the coefficient of x is 2, therefore

Q=8

Answer:

13/7

Step-by-step explanation:

Method 1 :

1/2*3/7-5/7*1/2+2​ = (3/14)- (5/14) + 2

                            = -2/14 + 2            

                            = -2/14 + 28/14

                            = 26/14

                            = 13/7

Method 2 :

1/2*3/7-5/7*1/2+2​ = (1/2) [3/7 - 5/7] + 2

                            = (1/2)(-2/7) + 2            

                            = (-1/7) + 14/7

                            = 13/7

Answer:

x = 140°

Step-by-step explanation:

the secant- secant angle 10° is half the difference of the intercepted arcs

10° = [tex]\frac{1}{2}[/tex] (30 - ? )° ( multiply both sides by 2 to clear the fraction )

20° = 30 - ? ( subtract 30° from both sides )

- 10 = - ? ( multiply both sides by - 1 )

10° = ?

the lower arc is a semicircle = 180°

the sum of the arcs in a circle = 360° , then

x = 360° - 180° - 30° - 10° = 360° - 220° = 140°

Answer:

7 6 5 5

Step-by-step explanation:

the highest numbers should go in the leftmost digits place, as these are worth more

here, we put 7 in the thousands place, which is 2 thousand higher than if we put 5 in the thousands place

Answer:

Ring toss game

Step-by-step explanation:

[tex]2:7[/tex] can be rewritten as [tex]\frac{2}{7}[/tex], which is [tex]\approx0.286[/tex].

We can now compare the probabilities of winning for each game.

[tex]0.286 > 0.25[/tex]

This means the odds of winning the ring toss game ([tex]0.286[/tex]) are higher than the odds of winning the balloon dart game [tex](0.25)[/tex].

Answer:

[tex]\tan 2 x = \dfrac{24}7[/tex]

Step by step explanation:

[tex]\textbf{2)}\\\\\text{Given that,} \\\\~~~~~\cos x = -\dfrac 45\\\\\implies \cos^2 x = \dfrac{16}{25}~~~~~~~~~~;[\text{Square both sides}]\\\\\implies 1- \sin^2 x= \dfrac{16}{25}\\\\\implies \sin^2 x = 1- \dfrac{16}{25}\\\\\implies \sin^2 x = \dfrac{9}{25}\\\\\implies \sin x =\pm\sqrt{\dfrac{9}{25}}\\\\\implies \sin x = \pm \dfrac 35\\\\[/tex]

[tex]\text{Since,}~ \pi \leq x \leq \dfrac{3\pi}{2}, ~ \text{the angle lies in the 3rd quadrant, where}~ \sin x ~ \text{is negative.}\\\\\text{So,}~ \sin x = -\dfrac 35[/tex]

[tex]\text{Now,}~\\\\\tan x = \dfrac{\sin x }{\cos x} = \dfrac{-\tfrac 35}{-\tfrac 45} = \dfrac 35 \times \dfrac 54 = \dfrac 34\\\\\\\tan 2x =\dfrac{2 \tan x }{ 1- \tan^2 x}\\\\\\~~~~~~~~~=\dfrac{2 \left( \tfrac 34 \right)}{1- \left( \tfrac 34 \right)^2}\\\\~~~~~~~~~=\dfrac{\tfrac 64}{1-\tfrac {9}{16}}\\\\\\~~~~~~~~~=\dfrac{\tfrac 32 }{\tfrac 7{16}}\\\\\\~~~~~~~~~=\dfrac 32 \times \dfrac{16}7\\\\\\~~~~~~~~~=\dfrac{24}7[/tex]

The estimated probability that at least one student who have NO PETS is 1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Onyx surveys students at his school and finds that 80% have a pet.

He wants to estimate the probability that, if he randomly selected 4 students, at least one student would NOT have a pet.

lets the numbers 1, 2, 3, and 4 represent a student who HAS a pet, and 5 represent a student who does NOT have a pet.

He then has a computer randomly select 4 numbers and repeats this 20 times.

The estimated probability that at least one student who have NO PETS

= 1/4

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The statement that proves that quadrilateral JKLM is a kite is (b) LM = JM = 3 and JK = LK = √17

See attachment for the complete question, the graph and the options

The coordinates of the quadrilateral are:

J = (4,5)

K = (5,1)

L = (1,2)

M = (1,5)

Calculate the lengths of the kite using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]JK = \sqrt{(4 -5)^2 + (5 -1)^2} = \sqrt{17[/tex]

[tex]LK = \sqrt{(1 -5)^2 + (2 -1)^2} = \sqrt{17[/tex]

[tex]LM = \sqrt{(1 -1)^2 + (5 -2)^2} = 3[/tex]

[tex]JM = \sqrt{(1 -4)^2 + (5 -5)^2} = 3[/tex]

On a kite, the adjacent sides are of equal lengths

Because LM = JM = 3 and JK = LK = √17, we can conclude that the quadrilateral JKLM is a kite

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Answer:

RIght triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

2| 1   -3    -10  24

 |       2   -2   -24

_______________

   1   -1    -12  |0

b=2

c=-1

d=-2

Answer:

Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!

system%2810b%2B6p=17000%2C3b%2B20p=17000%29

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Let +a+ = the cost of 1 pencil

Let +b+ = the cost of 1 book

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

(1) +6b+%2B+10a+=+17000+

(2) +3b+%2B+22a+=+17000+

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

Multiply both sides of (2) by +2+

and subtract (1) from (2)

(2) +6b+%2B+44a+=+34000+

(1) +-6b+-+10a+=+-17000+

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

+34a+=+17000+

+a+=+500+

and

(1) +6b+%2B+10a+=+17000+

(1) +3b+%2B+5a+=+8500+

(1) +3b+%2B+5%2A500+=+8500+

(1) +3b+=+8500+-+2500+

(1) +3b+=+6000+

(1) +b+=+2000+

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

Step-by-step explanation:

IT,LL

HELP

Answer:

1/3

Step-by-step explanation:

probability = favorable outcomes/total possible outcomes

There are two favorable outcomes, 2 and 5.

There are 6 total possible outcomes.

Make your fraction.

2/6

reduce

1/3

The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]

[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]

[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]

[tex]\rm =\dfrac{2y^4}{x^4}[/tex]

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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Answer:

A

Step-by-step explanation:

imagine explaining

The amount of money Jade and chet will have to purchase the app is $11.6

Where,

x = $2.50

Amount each earned:

Jade = 8 + 2x

= 8 + 2(2.50)

= 8 + 5

= $13

Chet = 4x + 6

= 4(2.50) + 6

= 10 + 6

= $16

Combined earnings = $13 + $16

= $29

Amount planned to save = 40% of combined earnings

= 40% × $29

= 0.4 × 29

= $11.6

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