Fill in the blank. using decimals write the number 348.562 in expanded form:

348.562 =

Answer:

5 gallons

Given:

• Liters in 1 gallon

• Cooler holds 18 liters

Step-by-step explanation:

[tex]\sf 18L \div 3.785 = 4.75G[/tex]

≈ [tex]\sf 5G[/tex]

Answer:

5 gallons

Step-by-step explanation:

Unit conversion (given) : 1 gallon = 3.785 liters

Here, we are given 18 liters.

Then, let the value in gallons be x. We can take the values in proportion.

⇒ [tex]\frac{x}{1} = \frac{18}{3.785}[/tex]

⇒ [tex]x = \frac{18}{3.785}[/tex]

⇒ [tex]x = 4.75561427[/tex]

⇒ x = approximately 5 gallons

Answer: The number of sides of the base of a prism and the number of lateral faces is equal.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge exam

The inequality that represents the possible length of the patio is √A < 625.

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25  = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

learn more on inequality here: https://brainly.com/question/23919881

#SPJ1

Answer:

.33333333...   45/100

Step-by-step explanation:

1/3 as a reoccurring decimal would be 0.3333333......

.45 as a fraction is simply 45/100

give brainiest please!

hope this helps :)

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

By applying the law of sines, the length of side PQ is equal to 7.1 units.

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]

PQ = 7.1 units.

Read more on law of sines here: https://brainly.com/question/7922954

#SPJ1

Answer:

63.5 m from the ground

answer is 66.9 ft

top is the step by step explanation, hope it helps <3

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

      a = 22.61°

Then in triangle ΔABC, we have

   sin 22.61° = r / (12 - r)

           0.38 = r / (12 - r)

4.62 - 0.38r = r

           1.38r = 4.62

                  r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ1

Answer:

49cm

Step-by-step explanation:

49cm i got it right on edmentum

Answer:

[tex]9.5 \div 100 \times 841.99 = 79.99 \\ \\ 841.99 + 79.99 \\ 921.98[/tex]

Answer:

$921.98905

Step-by-step explanation:

To find the sales tax amount we need to find 9.5% of 841.99

for this we can use 2 methods:

Method 1-

P%* X= Y

9.5%*841.99= Y

Convert 9.5% to a decimal by removing the percent sign and dividing by 100: 0.095

Substitute 0.095 for 9.5% in the equation: 9.5% * 841.99 = Y becomes 0.095 * 841.99 = Y

Do the math: 0.095 * 841.99 = 79.98905

OR

method 2-

9*841.99

=7998.905

÷100

=79.98905

Now that we know how much the the amount is all we have to do is add the amount with the original price of the tv

$841.99 + $79.97905= $921.98905

Applying the Pythagorean theorem, the missing lengths in the right triangles are:

1. √19 ≈ 4.4

2. √96 ≈ 9.8

3. √60 ≈ 7.7

4. √231 ≈ 15.2

5. √21 ≈ 4.6

6. √24 ≈ 4.9

The Pythagorean theorem is a formula that can be used to find the leg of a  right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.

1. missing leg = √(10² - 9²) = √19 ≈ 4.4

2. missing leg = √(11² - 5²) = √96 ≈ 9.8

3. missing leg = √(8² - 2²) = √60 ≈ 7.7

4. missing leg = √(16² - 5²) = √231 ≈ 15.2

5. missing leg = √(5² - 2²) = √21 ≈ 4.6

6. missing leg = √(7² - 5²) = √24 ≈ 4.9

Learn more about the Pythagorean theorem on:

https://brainly.com/question/343682

#SPJ1

Answer:

x = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.

__

Sorted into increasing order, the numbers are ...

  43, 57, 67, 87, 98

The total of these values is

  43 +57 +67 +87 +98 = 352

The mean is this sum divided by the number of contributors:

  mean = 352/5 = 70.4

__

The median of the 5 numbers is the middle (3rd) one:

  median = 67

__

The mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.

  mode: none

__

The range is the difference between the highest and lowest values:

  range = 98 -43

  range = 55

Answer:

7/6

Step-by-step explanation:

6*1=6

6+1=7

7/6

Hope this helped! :)

Answer:

Plan B

Step-by-step explanation:

If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A

but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B

The point divides the line in the respective ratios. The correct matches are done.

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n   and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.

Substituting the values, we get

-3.6 =  2x₂ +3x₁ / 2+3                 and           -3.4 = 2y₂ +3y₁ / 2+3

 2x₂ +3x₁ = -18                           and               2y₂ +3y₁ = -17

The above equations are satisfied by the points A(-2,-1) and B (-6,-7)

For, Point C(4, 1.6) divides in the ratio 3 : 2.

Substituting the values, we get

4 =  3x₂ +2x₁ / 2+3                     and           1.6 = 3y₂ +2y₁ / 2+3

3x₂ +2x₁ = 20                          and               3y₂ +2y₁ = 8

The above equations are not satisfied by any of the points.

For, Point C(3.5, -2.5) divides in the ratio 1 : 7.

Substituting the values, we get

3.5 =  1x₂ +7x₁ / 1+7                     and           1.6 = y₂ +7y₁ /1+7  

x₂ +7x₁ = 28                          and                y₂ +7y₁ = -20

The above equations are not satisfied by any of the points.

For, Point C(8, 9) divides in the ratio 5 : 3.

Substituting the values, we get

8 =  5x₂ +3x₁ /5+3                    and           9 = 5y₂ +3y₁ /5+3  

 5x₂ +3x₁ =64                          and                5y₂ +3y₁ = 72

The above equations are satisfied by the points A (3,4) and B(11, 12).

For, Point C(-2, 5) divides in the ratio 2 : 6.

Substituting the values, we get

-2 =  2x₂ +6x₁ /2+6                    and           5 = 2y₂ +6y₁ /2+6  

 2x₂ +6x₁  =-16                          and                2y₂ +6y₁ = 40

The above equations are satisfied by the points A (-5,2) and B(7,14).

For, Point C(0,1) divides in the ratio 4 : 7.

Substituting the values, we get

0 =  4x₂ +7x₁ /4+7                   and           1= 4y₂ +7y₁ /4+7  

 4x₂ +7x₁  = 0                      and                4y₂ +7y₁ = 11

The above equations are satisfied by the points A (4,-3) and B(-7,8).

Thus, all the equations are joined with their satisfying points.

Learn more about division of line.

https://brainly.com/question/27065786

#SPJ1

Answer:

scout is a group of noble youth

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

Learn more about subtraction property of equality on:

https://brainly.com/question/1601404

#SPJ1

Answer:

4

Keys:

Step-by-step explanation:

[tex]4\left(\left(2\right)\cdot \:2+2\left(-2\right)\right)-2\left(-2\right)\\\left(2\right)\cdot \:2+2\left(-2\right)\\=4+2\left(-2\right)\\=4-4\\=0[/tex]

[tex]=4\cdot \:0-2\left(-2\right)\\4\cdot \:0\\=0\\=0-2\left(-2\right)[/tex]

[tex]2\left(-2\right)\\=-4\\=0-\left(-4\right)[/tex]

[tex]0-\left(-4\right)\\=0+4\\=4[/tex]

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

Answer:

Below.

Step-by-step explanation:

I assume you are referring to a system of equations.

Example:

2x - y =  4

x + y =  5

If we add these 2 equations then the y is eliminated because -y + y = 0:-

3x + 0 = 9

x = 3

Now we plug x = 3 into the first equation to find y:

2(3) - y = 4

-y = 4 - 6 = -2

y = 2.

If we cannot eliminate one of the variables we multiply one of the equations so that one of the variables so that it can be eliminated.

For example:

2x - 3y = 5       A

x  + y  =  6        B

We multiply the second equation B by 3 so that when we add -3y + 3y gets eliminated:

3x + 3y = 18

- so adding this to equation A

5x + 0 = 23.

In some cases we may have to multiply both equations by different values to get terms that can be eliminated.

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

The angles NOS, NOT, NOU, VOR, VOQ, VOP​ are obtuse angles

An angle whose measure is more than 90 degree is called an obtuse angle.

In the given figure , the angles which have value more than 90 degree needs to be found.

The angles NOS, NOT, NOU, VOR, VOQ, VOP​ are obtuse angles as their measure is more than 90 degree.

To know more about Obtuse Angle

https://brainly.com/question/1581660

#SPJ1

Answer:

x=7

Step-by-step explanation:

95+65=160

There is 360 degrees total in a quadrilateral

360-160=200

(15x-5)+100=200

15x+95=200

Subtract 95 from both sides

15x=105

x=7

Answer: 8

Step-by-step explanation:

The triangles are congruent by SAS, so using CPCTC, the answer is 8

Answer:

Step-by-step explanation:

According to definition, angles 4 and 2 are exterior angles.

The matching answer choices are E and F

Using the probability concept, it is found that the correct statements are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22