Solve for unknown variable

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: 7500m

Step-by-step explanation:

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:

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:

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:

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:

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:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

The correct statements about liquid volume are:

1. One milliliter is 100 times smaller than one liter.

2. Milliliters are smaller units than liters.

3. One liter is 1,000 times larger than one milliliter.

1. One milliliter is 100 times smaller than one liter:

This statement is true.

Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.

2.  Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.

3. As mentioned earlier, there are 1,000 milliliters in one liter.

Therefore, one liter is 1,000 times larger than one milliliter.

4. Liters are larger units of measure compared to milliliters.

5. As explained earlier, one milliliter is 100 times smaller than one liter.

Learn more about Unit Conversion here:

https://brainly.com/question/31054078

#SPJ6

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:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

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:

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:

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

Answer:

18.84 units

Step-by-step explanation:

The question is incomplete, however, we can proceed with the given information

Given data

The expression for the circumference of a circle is given as

C= 2πr

Hence when we have a value for the radius say r= 3

Hence the circumference can be found as

C= 2*3.14*3

C= 18.84 units

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:

Below

Step-by-step explanation:

First, find the difference. You would do

-19 - (-9) = -10

-9 - 1 = -10 and so on...

The difference is -10

Now you need to find what number will make 11 when added to -10.

11 - (-10) = 21

The equation:

y = -10x + 21

Answer:

all except the last one

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:

#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:

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:

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:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653

Answer:

not valid..

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

So far this semester, What was the average of his scores last semester?

Let us represent last semester average score as x

We are told that:

Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.

This is expressed Mathematically as:

63 = x - 10%

63 = x - 0.1

Collect like termd

x = 63 + 0.1

x = 63.1