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3 years ago

6

My dog, Stella, is playing in the park and sees a tree 100m away. Since she is the dog of a mathematics teacher, she knows how t

o calculate the angle of elevation to the top of the tree and finds it to be about 25 degrees. About how tall is the tree?

1 answer:

Serjik [45]3 years ago

5 0

Answer:

10 meters

Step-by-step explanation:

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6. Mr. Jackson has $60 to spend on supplies for his

shusha [124]

Answer: $12.54

Step-by-step explanation:

7 times $4.32 = $30.24

14 times $1.23 = $17.22

add both sums which = $47.46

now subtract $60.00 by $47.46

now equals $12.54 HOPE THIS HELPED!!

5 0

3 years ago

Determine the number of significant digits in the measurement 3.08 cm

BabaBlast [244]

<h3>The measurement of 3.08 cm has 3 significant digits in it .</h3>

We say this because a measurement is considered significant if it has non zero numbers in it , which 3.08 cm has . And a measurement is considered a significant digit if it has zero between it's non zero digits . Hence we say that 3.08 cm has 3 significant digits .

7 0

3 years ago

Combine like terms:<br>-3x^3+1+4x^3-3y^3-1+5x^3-7−3x3+1+4x3−3y3−1+5x3−7

hichkok12 [17]

Answer:

12 $x^{3}$ - 6 $y^{3}$ - 14

5 0

3 years ago

Find the missing number.

Vinil7 [7]

Answer: 20%

Step-by-step explanation:

If we let the original amount be x, then after increasing it by 25%, we now have 1.25x

To get this back to x, we need to do 1.25x*(something) = x

this gives us that something = 1/1.25 = 0.8

meaning you need to decrease it by 100% - 80% = 20%

4 0

2 years ago

The table shows a proportional relationship between the mass, in kilograms

OlgaM077 [116]

Answer:

C) Dog: 40 kg, Medicine: 1.6 mL

D) Dog: 35 kg, Medicine: 1.4 mL

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x ---> the mass, in kilograms of a dog

y ---> milliliters of flea medicine a veterinarian prescribes

<u><em>Find the value of the constant of proportionality k for the given data</em></u>

$k=\frac{y}{x}$

For x=50 kg, y=2 mL ----> $k=\frac{2}{50}=0.04\ mL/kg$

For x=10 kg, y=0.4 mL ----> $k=\frac{0.4}{10}=0.04\ mL/kg$

For x=5 kg, y=0.2 mL ----> $k=\frac{0.2}{5}=0.04\ mL/kg$

so

The linear direct equation is equal to

$y=0.04x$

<u><em>Verify each choice</em></u>

A) Dog: 15 kg, Medicine: 0.9 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

$\frac{0.9}{15}= 0.06\ mL/kg$

so

$0.06 \neq 0.04$

therefore

These numbers could not be used as the missing values in the table

B) Dog: 25 kg, Medicine: 0.8 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

$\frac{0.8}{25}= 0.032\ mL/kg$

so

$0.032 \neq 0.04$

therefore

These numbers could not be used as the missing values in the table

C) Dog: 40 kg, Medicine: 1.6 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

$\frac{1.6}{40}= 0.04\ mL/kg$

so

$0.04 = 0.04$

therefore

These numbers could be used as the missing values in the table

D) Dog: 35 kg, Medicine: 1.4 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

$\frac{1.4}{35}= 0.04\ mL/kg$

so

$0.04 \neq 0.04$

therefore

These numbers could be used as the missing values in the table

E) Dog: 20 kg, Medicine: 1.2 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

$\frac{1.2}{20}= 0.06\ mL/kg$

so

$0.06 \neq 0.04$

therefore

These numbers could not be used as the missing values in the table

5 0

3 years ago