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Galina-37 [17]
3 years ago
13

Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford. What is the distance from Hawick to Kelso? Round your answer to the nearest tenth of a km.

Answer:

22.7 km

Step-by-step explanation:

The shape formed by this problem is a right triangle which is attached.

We apply Pythagoras Theorem

x^2=17^2+15^2\\x^2=514\\x=22.7\: km

The distance from Hawick to Kelso is 22.7 km (to the nearest tenth of a km)

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What is the product of 4 x 2/3
Genrish500 [490]

Answer:

Step-by-step explanation:

Remark

A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.

Solution

4/1 * 2/3 = 4*2 / 1 * 3 = 8/3

3 0
2 years ago
Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be
Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance  = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are  ​eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0
3 years ago
In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh
Oxana [17]

Answer:

Salary = Rs23000

Step-by-step explanation:

Given

Shopping = \frac{1}{5}

Sister = \frac{2}{5}R

Left over = Rs11,040

Required

Her salary in that month

Given that she spent \frac{1}{5} of her salary on shopping, this implies that she has \frac{4}{5} of her salary left

From what's left, she gave her sister \frac{2}{5}

This means she gave her sister \frac{2}{5} * \frac{4}{5}

Sister = \frac{8}{25}

Calculating a fraction of what's left

Left over = 1 -Shopping - Sister

Left over = 1  - \frac{1}{5}- \frac{8}{25}

Left over = \frac{25 - 5 - 8}{25}

Left over = \frac{12}{25}

Recall that she has Rs11,040

This means that

\frac{12}{25} of Salary = Rs11,040

Multiply both sides by \frac{25}{12}

\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}

Salary = Rs11,040 * \frac{25}{12}

Salary = \frac{Rs276000}{12}

Salary = Rs23000

Hence, her salary for that month was Rs23000

5 0
3 years ago
Read 2 more answers
Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$ Pls help.
nirvana33 [79]

Answer:

-56/9

Step-by-step explanation:

By Vieta's formulas,

$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get

$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,

$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$

5 0
3 years ago
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frutty [35]

Answer:

-1/2

Step-by-step explanation:

counting down by 2 over one

6 0
2 years ago
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