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3 years ago

If x + 3 = 10, then x = 7. Statement Reasons

Mathematics

1 answer:

luda_lava [24]3 years ago

7 0

Reason: if you subtract 3 on both sides of the equal sign that will leave you with 7.

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On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1

Luden [163]

Answer:

229.5 $cm^{2}$

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 $cm^{2}$

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = $\frac{h * b}{2}$

At = $\frac{15cm * 13cm}{2}$

At = $\frac{195cm^{2} }{2}$

At = 97.5 $cm^{2}$

Now we simply add both areas together to calculate the total area of the arrow...

132 $cm^{2}$ + 97.5 $cm^{2}$ = 229.5 $cm^{2}$

6 0

3 years ago

Read 2 more answers

Please help this needs to be turned in by tonight

KonstantinChe [14]

Answer:

big robux

Step-by-step explanation:

y=big robux big

5 0

3 years ago

Find the length of the radius of the circle whose perimeter is xcm and the area is

Jobisdone [24]

$\bf \stackrel{\textit{perimeter}}{\textit{circumference}}\textit{ of a circle}\\\\ C = 2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=x \end{cases}\implies x = 2\pi r\implies \boxed{\cfrac{x}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=x \end{cases}\implies x = \pi \left( \boxed{\cfrac{x}{2\pi }} \right)^2\implies x = \pi \cdot \cfrac{x^2}{2^2\pi^2}$

$\bf x = \cfrac{x^2}{4\pi }\implies 4\pi x = x^2\implies \cfrac{4\pi x}{x}=x\implies \blacktriangleright 4\pi = x\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since the radius is}}{r = \cfrac{x}{2\pi }}\implies r =\cfrac{4\pi }{2\pi }\implies \blacktriangleright r = 2\blacktriangleleft$

6 0

3 years ago

Read 2 more answers

Find the value of x and y

allsm [11]

We have the equations:

x + 3 = 15 and 3y - 1 = 2x - 4

x + 3 = 15 |-3

x = 12

Put the value of x to the second equation:

3y - 1 = 2(12) - 4

3y - 1 = 24 - 4

3y - 1 = 20 |+1

3y = 21 |:3

y = 7

<h3>Answer: x = 12 and y = 7.</h3>

8 0

3 years ago

6x - 5 (4y - 3x) + 4y

vazorg [7]

Answer:

6x -5 (4y -3x) + 4y

6x -20y + 18x + 4y

24x - 16y

Step-by-step explanation:

5 0

3 years ago