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3 years ago

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Mathematics

2 answers:

Ludmilka [50]3 years ago

7 0

1. Set up a ratio for the pole comparing height to shadow length:

10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

$\dfrac{10 \text{ feet tall}}{15 \text{ feet shadow}} =\dfrac{x \text{ feet tall}}{24 \text{ feet shadow}}$

3. Solve the equation by multiplying by 24 on both sides of the equation:

$24 \cdot \dfrac{10}{15} = x$

x = 16 feet

hichkok12 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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Match each table of data below with the most appropriate graph and briefly explain why it matches the data

Stells [14]

Answer:

Table a match with Graph 3

Table b match with Graph 2

Table c match with Graph 4

Step-by-step explanation:

Table a

Time is plotted on x - axis and Temp on y axis

From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3

Table b

Time plotted on x axis, cost on y axis

Looking at the values we see that they are almost linear except for 2 values at x = 2 and 2.5 and at y = 5 and 5.3.

Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2

However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2

Table c

Months plotted on x axis and length of fetus on the y axis

We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows down between months 6 and 9. Only Graph 4 fits this pattern

8 0

2 years ago

Look at the image for the problem :)

8_murik_8 [283]

Answer:

$\displaystyle V = 28 \pi \ ft^3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cylinder Formula: $\displaystyle V = \pi r^2h$

V is volume
r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 ft

Height h = 7 ft

Step 2: Solve for V

Substitute in variables [Volume of a Cylinder Formula]: $\displaystyle V = \pi (2 \ ft)^2(7 \ ft)$
[Volume] Evaluate exponents: $\displaystyle V = \pi (4 \ ft^2)(7 \ ft)$
[Volume] Multiply: $\displaystyle V = 28 \pi \ ft^3$