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2 years ago

The perimeter of an equilateral triangle is 5.1 m. How long are its sides?

Mathematics

2 answers:

Alja [10]2 years ago

7 0

Answer:

1.7 meters

Step-by-step explanation:

because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3

5.1 / 3 = 1.7

it is 1.7 m

Vesna [10]2 years ago

7 0

Answer:

x are sides of the traingle

5.1 = 51upon10 51/10

51 upon 10 =3x

3x = 51 upon 10

x= 3/51 upon 10 =

x= 3*10upon 51

=10upon 17

side of the traingle is 10/17

Step-by-step explanation:

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Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation

Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; $y-y_1=m(x-x_1)$ ......[1] ; where m is the slope and a point $(x_1, y_1)$ on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement: After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given values we get;

$m = \frac{40-25}{8-3}=\frac{15}{5}$ = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

$y-25=3(x-3)$

Using distributive property; $a \cdot(b+c) = a\cdot b + a\cdot c$

$y-25 = 3x - 9$

Add 25 on both sides, we get;

$y-25+25 = 3x - 9+25$

Simplify:

y =3x + 16

if x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0

3 years ago

Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.

evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) $(5^2)(5^3)$

As we know that

$a^m\times a^n=a^{m+n}$

So, it becomes,

$5^2\times 5^3=5^{2+3}=5^6=15625$

(b) $(5^2)(5^{-3})$

So, it becomes,

$5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2$

As we know that

$(a^m)^n=a^{mn}$

So, it becomes,

$5^{2\times 2}=5^4=625$

(d) $5^{-3}$

$a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008$

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0

3 years ago

4(-9x + 1) = Answer?

faltersainse [42]

Answer:

−36+4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The line of reflection will (always, sometimes, never) be the perpendicular bisector between a preimage and it’s reflected image

frez [133]

Answer:

Step-by-step explanation:

line of reflection: a fixed line directly in the middle of the pre-image and the reflected image.

perpendicular: two lines meeting at a 90 degree angle

bisector: line that divides something into two equal parts

pre-image: the original figure before any transformation or translation has been made

reflected image: the original image after being reflected across the line of reflection.

Is the line of reflection a line running perpendicular, directly in the middle of the pre-image and the reflected image? Yes, always would be my answer.

6 0

3 years ago

Please I need help!!

Gelneren [198K]

1 plus to the negative Peter plus the relative integers

3 0

3 years ago