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Inga [223]
3 years ago
15

What the length of a diagonal of a square with perimeter of 16

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
A- the length of the side of a square
P = 16

P = 4a → 4a = 16  |:4 → a = 4

The diagonal of the square: d = a√2

therefore d = 4√2


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The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9
egoroff_w [7]

Answer:

B

Step-by-step explanation: just add up all of the miles they have all ready hiked and then subtract it from the number they need to hike

6 0
3 years ago
Show all work to multiply (2+√-25)(4-√-100)
ki77a [65]

Answer:

<h3>-42</h3>

Step-by-step explanation:

given the expression;

(2+√-25)(4-√-100)

Note that √-25 = √-1 * √25

√-100 = √-1 * √100

According to complex number,  √-1 = i

√-25 = 5i

√-100 = 10i

The expression becomes

(2+5i)(4-10i)

Open the parentehsis;

= 2(4)-20i+20i-50i²

=  8-50i²

Since i² = -1

The expression becomes;

8-50i² = 8-50(-1)²

8-50i² = 8-50 = -42

Hence the product of the expression is -42

7 0
3 years ago
According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million
ss7ja [257]

Answer:

P_D=61.1*10^{-4}

R_r=480

Step-by-step explanation:

From the question we are told that

Homicide rate in US R_U=62.4\ per\ one\ million

Homicide rate in Britain R_B=1.3\ per\ one\ million

Generally the equation for probability of homicide is mathematically given as

P=\frac{R}{10^6}

Generally the equation for probability of homicide in US is mathematically given as

P_U=\frac{62.4}{10^6}

P_U=62.4*10^{-4}

Generally the equation for probability of homicide in Britain is mathematically given as

P_B=\frac{1.3}{10^6}

P_B=1.3*10^{-5}

a)Generally the difference b/w the probabilities P_D is mathematically given as

P_D=P_U-P_B

P_D=62.4*10^{-4}-1.3*10^{-5}

P_D=61.1*10^{-4}

Therefore US annual homicide is P_D=61.1*10^{-4} greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

R_r=\frac{P_U}{P_B}

R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}

R_r=480

3 0
3 years ago
The equations in the triangle consist of (2x +1) and (5x +5)<br><br>​
Ainat [17]
2x + 1 + 5x + 5 + 90 = 180
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12
6 0
3 years ago
a hiking trail is 20 kilometers long. park organizers want to build 5 rest stops for hikers with one on each end of the trail an
ICE Princess25 [194]

The distance that will separate each rest stop is 4 kilometers.

<h3>What is the distance?</h3>

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

The distance = length of the trail / number of rest stops

20 km / 5 = 4km

To learn more about division, please check: brainly.com/question/13281206

#SPJ1

3 0
2 years ago
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