The state of Nevada is approximately in
the shape of a trapezoid with two right
angles. If the 'height' of Nevada is 320
miles, the longer base is 483 miles, and
the total area is about 110,000 square
miles, what is the lenght of the shorter
base, in miles?

4x - 2y = 12

x + 2y = 8

(to cancel 2y, solve by adding)

4x - 2y = 12

+

x + 2y = 8

4x + x = 5x

-2y + 2y = 0

12 + 8 = 20

5x = 20

÷5

x = 4

Substitute x=4 to one of the equation:

x + 2y = 8

4 + 2y =8

-4

2y. = 4

÷2

y. = 2

Check:

4 + (2x2) does give you 8

Hope this helps!

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

Answer:

Q=9

Step-by-step explanation:

if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch

(its a lot of words but i wanted to make sure you understand)

Answer: 25

Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).

                                       D = b² - 4ac

                                   D = 1² - (4)(2)(-3) = 25

Thus, the discriminant of the equation of 25.

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

Answer:

The answer is 47°

Step-by-step explanation:

Total angles in a triangle is 180°

so 31+x+102 = 180

x= 180-133

x=47°

Answer:6.8

Step-by-step explanation:

i dont know how to explain.

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

More can be learned about perfect-squares at https://brainly.com/question/13136492

Answer:

first you need to take way 20,000-88.75 =19,911.25 now you need to multiple 19,911.25×270=3,982345.go and see for your self

999999999999999999999999

Answer:

p + 6

Step-by-step explanation attached as image.

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

Answer:

The slope of the line would be -3/2.

Step-by-step explanation:

Let's get this equation into the proper slope form:

2x - 3y - 5 = 0

2x - 3y + 3y - 5 = 0 + 3y

2x - 5 = 3y

(1/3)(2x - 5) = 3y * 1/3

2/3x - 5/3 = y

Since the slope is 2/3, we need to find the negative reciprocal of that number, which is -3/2.

First of all, we need to add 5 on both sides :

2x-3y=5

Now, subtract 2x on both sides ↓

-3y=5-2x

Or

-3y=-2x+5

Now we need to divide by -3 on both sides to get y all by itself ↓

y=-2/-3+5/-3

[tex]\boxed{\\\begin{minipage}{2cm}y=$\displaystyle\frac{2}{3} x-\frac{5}{3}$ \\ \end{minipage}}[/tex]

Now determining the slope is facile.

If lines are perpendicular to each other, they

In order to find the opposite reciprocal of a fraction, we need to switch the numerator & the denominator places and then change the fraction's sign as follows ↓

(slope = 2/3)

Switch the numerator and denominator places ↓

3/2

Change the fraction's sign ↓

-3/2

hope helpful ~

Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

Answer:

-3 degrees

Step-by-step explanation:

13x + 78= 39 degree

-78 -78

(divide both sides by 13)

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

Answer:

$13.14

Step-by-step explanation:

The amount that would be needed to be deposited in order to reach the goal is:

Since Plan A compounds annually at an apr of 5%.

and plan B compounds continuously at an apr of 4.8%

Using the formula for annual compounding

[tex]f = p * (1+r)^n[/tex]

Where

Because the compounding is done annually, then the APR/100= 0.05

Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.

Putting the values together:

120,000 = p * (1.05)^30.

divide both sides of this formula [tex](1.05)^3^0[/tex] to get:

[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.

To solve for the PART B answer

the formula for continuous compounding is:

[tex]f = p * e^(r*n)[/tex]

Where

The formula becomes:

[tex]120,000 = p * e^(.048 * 30).[/tex]

divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:

[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.

#SPJ1

Read more about compound interest here:

https://brainly.com/question/24274034

Answer:

Triangles A and B

Step-by-step explanation:

Similar triangles have congruent corresponding angles. Triangles a and b both have angle measures of 90°, 23° and 67°. Triangle C has different angle measures therefore it cannot be similar to either triangle A and B.

Similar triangles also have similar side length ratios via corrsesponding sides. This is true for triangles A and B eg. have corresponding side length ratios of 24/12 , 26/13 and 10/5 which all equal 2

So we can conclude triangles A and B are similar

Answer:

I think I would be 16 cause if 8 double it is 16

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

Answer:

78%

Step-by-step explanation:

First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.

This question provides us with an interval estimate which is a range of values used to estimate a population parameter.

Interval Estimate = 74% to 82%

74% = Lower confidence limit

82% = Upper confidence limit

Point estimate = middle value

= [tex]\frac{74+82}{2}=\frac{156}{2}[/tex]

= 78%

Answer:  

x = 3

y = -2

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

4x + 5y = 2........i

2x + 3y = 0........ii

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

Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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

Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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

Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

Answer:

Number line 3 also known as [C]

Step-by-step explanation:

Given that:

c ≤ -1

Knowing that:

≤  = Less than or equal to

Now substitute into the equation:

C less than or equal to -1

Thus, it going left on a number line.

The only number line with left is [A] and [C]

Since ≤  = Less than or equal to -1

then, it including -1

also known as a closed circle means the number is included and an open circle means it is not.

Hence, it closed circle.

Thus, the answer is [C]

Kavinsky

Answer:

I think its B (x-5=13)

Step-by-step explanation:

if its x-5=13

Pedro bought 13 and 5

so 13+5 = 18 (x)

so rearrange the equation to be x-5=13

so imagine x=18 and it would work:

18-5=13

Answer: B. x - 5 = 13

Step-by-step explanation:

     Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.

        5 + 13 = x

      This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.

         B. x - 5 = 13