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3 years ago

What is the value of x? Please explain...

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:
X=14

Explanation:
The question tells us that the triangle is an equilateral triangle, meaning all of its side lengths are equal.

The perimeter of the triangle is all the lengths added together, so we can say this:

Perimeter=3(1.75x-2)

And since the question tells us the perimeter, we can input that into the equation as well.

67.5= 3(1.75x-2)

And now we solve:

67.5= 3(1.75x-2)
Distribute 3 into the parentheses
67.5=5.25x-6
Combine like terms (move -6 to the other side)
67.6+6=5.25x
73.6=5.25x
Divide both sides by 5.25
73.6/5.25=5.25x/5.25
14=x

I hope this helps! Please comment if you have any questions.

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Solve the inequality.<br> 3x+6<3(x-7)

GarryVolchara [31]

<h3> $\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3(x-7) } \end{gathered}$} }$ </h3>

Simplify both sides of the inequality.

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }$

Subtract 3x from both sides.

<h3> $\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6-3x < 3x-21-3x } \end{gathered}$} }$ </h3><h3> $\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6 < -21 } \end{gathered}$} }$ </h3>

Subtract 6 from both sides.

<h3> $\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6-6 < -21-6 } \end{gathered}$} }$ </h3>

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }$

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1 year ago

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Give an expression that generates all angles coterminal with each angle. Let n represent any interger?

Ainat [17]

Answer:

The expression to this question can be defined as follows:

Step-by-step explanation:

Given angle:

1. 60°

2. 120°

Formula:

$\to \bold{\ angle + 360 \ n}$

The Expression for point 1:

$\to 60^{\circ} + 360 \ n\\$

The Expression for point 2:

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3 years ago

4.9t^2-2.78t-1.15=0 what is the value of T

zzz [600]

Answer:

t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490

Step-by-step explanation:

Solve for t:

4.9 t^2 - 2.78 t - 1.15 = 0

4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:

(49 t^2)/10 - (139 t)/50 - 23/20 = 0

Multiply both sides by 10/49:

t^2 - (139 t)/245 - 23/98 = 0

Add 23/98 to both sides:

t^2 - (139 t)/245 = 23/98

Add 19321/240100 to both sides:

t^2 - (139 t)/245 + 19321/240100 = 75671/240100

Write the left hand side as a square:

(t - 139/490)^2 = 75671/240100

Take the square root of both sides:

t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490

Add 139/490 to both sides:

t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490

Add 139/490 to both sides:

Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490

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3 years ago

Help me with this question, please!

AURORKA [14]

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

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2 years ago

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