Estimate 98.46 multiply 4.11
400
350
450
200

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547

Answer:

the photos isn't clear!

Answer:

NoShutterStock gives the correct value:  55 miles/hr (mph)

I'll only add that distance, d, is the product of time, t, and speed, s.

 (Distance, d) = (Time, t x) (Speed, s)

   d = ts

   330 miles = (6 hours)*(s)

s = 330 miles/6 hours, or 55 mph

Step-by-step explanation:

The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.

Given that, find the constant of proportionality and write an equation for the following proportional relationship.

"You drove 330 miles in 6 hours."

Here, the constant of proportionality =

330/6 = 55 miles per hour

The equation for the proportional relationship =

y = 55x

Where, y is total distance and x is hour of travelling.

Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

Learn more about proportionality, click;

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Answer:

1. The measure of a right angle is greater than the measure of an acute angle.

2. Given

3. Perpendicular lines form right angles.

4. If two angles of a right triangle...

(Please thank and rate if my answer helped!!!!)

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

When parallel lines are intersected by a transversal

alternate exterior angles are congruent

Therefor

15(x + 2) = 120

Divide both sides by 15

x + 2 = 8

Subtract 2 from both sides

x = 6

Answer:

Step-by-step explanation:

here 120 degrees would be the same as 15(x+2)

Just like how angle R on the other side of 120 Degrees is the same

so 15(x+2) = 120 degrees

let us distribute

15x +30 = 120

      -30     -30

15x=90

15x/15=90 /15

x=6

so what you have selected is correct

Answer:

The company filled 454570 bags.

Step-by-step explanation:

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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

Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]

9514 1404 393

Answer:

  $2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

  A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

  A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

Additional comment

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

Answer:

r = 2.5 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r = 1/2 (5)

r = 2.5 cm

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr

Answer:

x = 4 is the solution

Step-by-step explanation:

Solving the inequalities

x + 5 > 8 ( subtract 5 from both sides )

x > 3

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

2x - 3 < 7 ( add 3 to both sides )

2x < 10 ( divide both sides by 2 )

x < 5

The only integer value of x > 3 and < 5 is 4

Answer:

13841287201

Step-by-step explanation

7×7×7×7×7×7×7×7×7×7×7×7=13841287201

Answer:

7

×

7

×

7

×

7

×

7

=

7

5

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.

When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.

The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.

Visit: https://brainly.com/question/17967521

Answer: $149.8

Step-by-step explanation:

Find the 1% of the 140 which is 1.4 because 140/100 = 1.4

Times by 7 to get 7%. 1.4 x 7 = 9.8

Add them together. 140+9.8 = 149.8

Answer:

[tex]\pink{Answer}[/tex]

[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]

[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]

[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]

[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]

[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]

hence , angles of the triangle are 40 , 60 and 80

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

40° , 60° and 80°

We know that sum of all the angles of a triangle adds to 180° .

Let the angles be 2x , 3x and 4x

Now,

=> 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180/9

=> x = 20°

(The value of x is 20)

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion

Answer:

[tex]2.757*10x^{-4}[/tex]

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

[tex]\frac{1}{x}[/tex]

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.

5! + 5! = ?

= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2

= 5 × 4 × 3 × 2 × 1 × 2

= 120 × 2

= 240

[tex] \: \: \: \: \: \: [/tex]

[tex] = 120 \times x![/tex]

[tex]5! \times 5![/tex]

[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]

[tex] = 120 \times x![/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer: 7.9inches

Step-by-step explanation:

45.8-14.2=31.6

31.6/4=7.9

Answer:

x= 2, y= 1

Step-by-step explanation:

3x -y= 5 -----(1)

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

(1) +(2):

3x -y -x +y= 5 -1

2x= 4

Divide both sides by 2:

x= 4 ÷2

x= 2

Substitute x= 2 into (2):

-2 +y= -1

y= -1 +2

y= 1

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.

Answer:

So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.

Answer:

6.25 is the exact number, but you should round it to 6

Step-by-step explanation:

150/24=6.25.

It also equals 6 if you round it.