An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

13/4 = 3.25

Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

Answer:

10h and 48min

Step-by-step explanation:

60*18=1080

1080/100=10.8

so 10.8h which means 10 hours and 48 min

Hey there!

I believe the answer to your question is 24.

If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.

Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.

Answer:

A. 5,562 feet higher

B. 0 feet

Step-by-step explanation:

A. Calculation for how many feet higher is denver than death valley

Numbers of feet=5,280 feet-(- 282 feet)

Numbers of feet=5,280 feet+282 feet

Numbers of feet=5,562 feet higher

Therefore the numbers of feet higher is denver than death valley will be 5,562 feet higher

B. Since ocean level tend to have 0 feet which means that in a situation where you were standing close to the ocean what the elevation would be is 0 feet.

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

Step-by-step explanation:

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The area of the dark area = 3cm × 3cm = 9cm²

The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²

Now, the probability that the dart will hit a spot in the shaded square will be,

Probability = 9 / 315 = 0.028

Hence, the probability that the dart will hit a spot in the shaded square is 0.028.

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Answer:

Jake is incorrect with his methodology for solving these problems

Step-by-step explanation:

Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27

Answer:

Step-by-step explanation:

Answer:

your answer is going to be 384

Answer:

thirty-eight

Step-by-step explanation:

31+7= answer

Answer:

i think its either 38 or 24

Step-by-step explanation:

Answer:

bro just use ur hand

Step-by-step explanation:

Answer:

Probably a lot considering Vegeta couldn't safely break an egg :)

Step-by-step explanation:

Answer:

In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

​

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

​

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

​

Answer:

4,000 cm

Step-by-step explanation:

10,000 x 0.4

just do 10,000 x 4

(40,000)

and then move the decimal point one space to the left

(4,000)

Answer

1,3,5,7,9

Step-by-step explanation:

Answer:

he is at -3

Step-by-step explanation:

On a number chart, If he goes 3 left hes going 3 negative. So it would be -3

I hope this helps!

Answer:

-2

Step-by-step explanation:

You subtract 3 from one

First jump 0

Second jump -1

Third Jump -2

Answer:

The number of players the team can bring to the tournament is 16.

Step-by-step explanation:

With the information provided, the equation would express that the total cost to go to the tournament is equal to the price to rent a bus plus the result of multiplying the amount per player for meals for the number of players.

Total cost=896.50+47x, where:

x is the number of players

Now, as you know that the softball team raised $1,648.50 to go to a tournament, you can replace the total cost with this number and solve for x:

1,648.50=896.50+47x

1,648.50-896.50=47x

752=47x

x=752/47

x=16

According to this, the answer is that the number of players the team can bring to the tournament is 16.

Answer:

Equation:  47x + 896.5 = 1648.5

X= 16

Step-by-step explanation:

Delta Math

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

To determine

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

All real solutions of the function  y=f(x) are x = -4 and x = 4

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

we are Given graph in the attachment represents the function y = f(x)

Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.

Thus the graph of the function touches and crosses at x = -4 and x = 4

Therefore, all real solutions of the function  y=f(x) are x = -4 and x = 4

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Answer:

[tex]\dfrac{v-u}{a}[/tex]

Step-by-step explanation:

The given equation should be:

v = u +at ...(1)

Where

u is initial velocity, v is final velocity, a is acceleration and t is time

We need to solve the above equation for t.

Subtract u from both sides.

v-u= u +at -u

v-u=at

Dividing both sides by a.

[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]

So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].

1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2

2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=

=8x^3+10x^2+12x+15-8x^3+16x=

=10x^2+28x+15

Answer:

1. [tex]8x^2+xy-15y^2[/tex]           2. [tex]10x^2 + 28x + 15[/tex]

Step-by-step explanation:

For Question 1:

[tex](4x + 5y) (2x - 3y) + 3xy[/tex]

= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]

[tex]=8x^2+xy-15y^2[/tex]       (cannot simplify any further)

For Question 2:

[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]

[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]

[tex]=10x^2 + 28x + 15[/tex]         (cannot simplify any further)

Option c. 93°.

Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.

Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.

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Answer:

5x+2

Step-by-step explanation:

:)

Answer:

16x little 2 on top - 40xy + 25y little 2 on top

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: