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2 years ago

What is the scale if: 3.2 cm on the map correspond to 4 km in the actual distance?

Mathematics

1 answer:

aliya0001 [1]2 years ago

5 0

Scaling on map is defined as the ratio of a distance on the map to the corresponding distance on the ground.

Here, 3.2 centimeters on the map is equivalent to 4 kilometers.

We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to.

Using the unitary method:

$3.2 cm=4 km$

$1 cm=\frac{4}{3.2} =1.25km$

Therefore, the scale of map represents 1.25 kilometers for each centimeter.

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A runner increases her speed from 3.1 m/s to 3.5 m/s during the last 15 seconds of her run, what was her acceleration during her

bezimeni [28]

We know, acceleration = change in speed / time
a = (3.5 - 3.1) / 15
a = 0.4 / 15
a = 0.026 m/s²

In short, Your Answer would be: 0.026 m/s²

Hope this helps!

4 0

1 year ago

One way to solve the system is to _____________ a variable.

Ivahew [28]

One way to solve the system is to <u>substitute</u> a variable.

<u>Explanation:</u>

One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.

The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.

8 0

2 years ago

Read 2 more answers

Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is

FinnZ [79.3K]

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Further explanation:

Given:

Vector a is $\vec a = 4.00\hat i + 7.00\hat j.$

Vector b is $\vec b = 5.00\hat i - 2.00\hat j.$

Explanation:

The cross product of a \times b can be obtained as follows,

$\begin{aligned}a \times b &= \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k} \\4&7&0\\5&{ - 2}&0 \end{array}}\right|\\&= \hat i\left( {0 - 0} \right) - \hat j\left( {0 - 0} \right) + \hat k\left( { - 9 - 35} \right)\\&= 0\hat i - 0\hat j - 43\hat k\\&= - 43\hat k\\\end{aligned}$

The vector can be expressed as follows,

$a \times b = - 43\hat k$

The magnitude of $a \times b$ can be obtained as follows,

$\begin{aligned}\left| {a \times b} \right| &= \sqrt {{0^2} + {0^2} + {{\left( { - 43} \right)}^2}}\\&= \sqrt {{{43}^2}}\\&= 43\\\end{aligned}$ 43404

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.

8 0

2 years ago

Read 2 more answers

Ray feeds his dog 0.12 kilogram of dry dog food each

Julli [10]

Answer:

The smallest bag that has enough food to feed his bag for one month

= 3.6 kilogram

Step-by-step explanation:

The quantity of dry food Ray feeds his dog = 0.12 kilogram

So the quantity of food he feeds his dog in one month

= 0.12 × 30 ∵ since 1 month = 30 days