What is the volume, in cubic centimeters, of the gift box?

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{4}{DE}[/tex] ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = [tex]\frac{4}{cos55}[/tex] ≈ 6.97 ( to the nearest hundredth )

Answer:

2x[tex]\sqrt{15}[/tex]

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{15}[/tex] · [tex]\sqrt{x^2}[/tex]

This can be simplified to be 2x[tex]\sqrt{15}[/tex]

Answer:

not valid..

Step-by-step explanation:

Answer:

Answer: 50x+100\geq18,00050x+100≥18,000

Let w denotes a seven letter word which Sal will need to make to break the record.

Since you get 50 points for each seven-letter and 100 points for playing the game.

Then the total points earned by you by making w seven letters words will be:

50x+10050x+100

Since, Sal wants to break that record, and needs 18,000 points or more to do so.

Then , the required inequality will be :

50x+100\geq18,00050x+100≥18,000

Answer:

similar; RYL by SAS similarity

Step-by-step explanation:

Side RL Is congruent to side RH and side RY is congruent to side RA by a scale factor of 3.5. and we know thank angles LRY and HRA are congruent by the reflexive property. So the two triangles are congruent by Side-Angle-Side similarity.

Answer:

To find the left triangle we make the two right triangles equal 1 square, making the area of that 2x2 or 4

Then we take the uppermost triangle on the left and find the area of that which is 2x2 / 2 or 2. Then we find the right uppermost triangle which is 5x 2 /2 or 5. Then we take the rightmost triangle and find that 4x 4 /2 or 8. Then we add the square in the middle which is 3 x 4 or 12.

Add those area 4 + 2 + 5 + 8 + 12. You should get 31.

Hope that helps somewhat. You need to divide the shape into easily usable shapes like squares and triangles.

Answer:

Each day she has read 1/6 of the book.

Step-by-step explanation:

Monica has read 5/6 of book .

Each day she read the same number of pages  for 5 days

Each day she read 5/6/5= 5/6*5= 1/6

Each day she has read 1/6 of the book.

So that in 5 days it makes

1/6+1/6+1/6+1/6+1/6= 5/6

Answer:

444

addition and subtraction

there are more fish in the school

the number of fishes that left the school is less than the number of fish that joined the school

Step-by-step explanation:

fishes that swam away = 375 - 47 = 328

fish that joined = 328 + 116 = 444

to determine the fish that swam away subtract. to determine the fish that joined, add.

116 is greater than 47. so there are more than 375 fish in the school

Answer:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

Answer: 7500m

Step-by-step explanation:

Answer:

We know the  angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the  relationship is

sin 82 / 34 = sin (  ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is   sin C / 27

sin 82 / 34 = sin C / 27

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]

Hence, a true relationship based on the Law of Sines was found in the given triangle.

To get more about sine law visit:

https://brainly.com/question/24175301

x=-3

Hope this helped!

Answer:

approximately equal to 72 centimeters

Step-by-step explanation:

The formula for the circumference of a circle is 2[tex]\pi[/tex]r.  

The formula for finding the radius with an arc and an arc length is 180 times l over [tex]\pi[/tex] times the angle.

[tex]\frac{3420}{298.45}[/tex] which is approximately equal to 11.46

11.46 is our radius so the circumference is 2[tex]\pi[/tex](11.46) or about 72

Answer:

Step-by-step explanation:

in complementary angle sum of two angle is always 90 degree.so,

let another be x

x+28.1=90

x=90-28.1

x=61.9

therefore another angle is 61.9 degree.

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

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

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

Answer:

all except the last one

Step-by-step explanation:

Answer:

#2 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

Step-by-step explanation:

A stem-and-leaf plot is a detailed graphical presentation of quantitative data on special kind of table that promotes visualizing the individual numbers in the data with the number at the stem being the first digits of the numbers in the data set while the leaf represent the last digit of each number in the data set

Following the above rule, the data in the given stem-and-leaf plot are;

64, 67, 69, 79, 81, 81, 83, 83, 84, 86, 90, 91, 92, 95

Therefore, the set of data that could have been used to create the stem-and-leaf plot is the data set that has all the numbers in the given stem-and-leaf plot which is the data set;

64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92.

Answer:

x=6

Step-by-step explanation:

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

Answer:

4th option

Step-by-step explanation:

(x³ + 2x - 1)([tex]x^{4}[/tex] - x³ + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x³([tex]x^{4}[/tex] - x³ + 3) + 2x([tex]x^{4}[/tex] - x³ + 3) - 1 ([tex]x^{4}[/tex] - x³ + 3) ← distribute parenthesis

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 3x³ + 2[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] + 6x - [tex]x^{4}[/tex] + x³ - 3 ← collect like terms

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 2[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 4x³ + 6x - 3

Answer: these are the numbers, if you put them in desmos you'll get the graph, good luck

Step-by-step explanation:

2 9

4 11

6 13

8 15

Answer:

1.33cm

Step-by-step explanation:

if 2cm is representing 75 miles, that means that .66 (repeating) is representative of 25 miles. This is because .66 (repeating) times 3 is equal to 2, and 25 times 3 is equal to 75. The reason 1.33cm would be equal to 50 miles is because if 25 miles is equal to .66, and 50/25 = 2, then you would have 2x.66 (repeating), to get 1.33.

Answer:

..

Step-by-step explanation:

right and scalene

Answer:

E, F

Step-by-step explanation:

Because the triangle has a right angle, it is a right triangle. Also, because the triangle doesn't sides of equal length, the triangle is also scalene.

Answer:

12.2 inches

Step-by-step explanation:

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

The length of the sides of the isosceles triangle can be found from the

given altitude and the length of the base.

Reasons:

The given parameter are;

The triangle is an isosceles triangle

The altitude cuts the base into two

Length of the altitude, h = 13 inches

Length of the base of the triangle, l = 8 inches

Required:

Find the perimeter of the triangle.

Solution:

By using the Pythagorean theorem, we have;

Length of one of the isosceles sides of the triangle which is an hypotenuse

side of the right triangle formed by the altitude, R, is given as follows;

[tex]\displaystyle R = \mathbf{\sqrt{ h^2 + \left(\frac{l}{2} \right)^2}}[/tex]

Therefore;

[tex]\displaystyle R = \sqrt{ 13^2 + \left(\frac{8}{2} \right)^2} = \mathbf{ \sqrt{ 13^2 + 4^2}} =\sqrt{185}[/tex]

R = √(185) inches

Therefore, the length of the other hypotenuse side = R = √(185) inches

On the original triangle, the sides are; R, R, and l

Which gives;

The perimeter of the triangle, P = R + R + l = 2·R + l

Therefore;

P = 2 × √(185) + 8 ≈ 35.2

The perimeter of the triangle, P ≈ 35.2 inches.

Learn more about Pythagorean theorem here:

https://brainly.com/question/2514956

Answer:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653