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3 years ago

If a rectangles width is twice as long as its length. If the perimeter is 36in find its length.

1 answer:

4 0

Answer of what is the length is 12. if we add all the sides it has to come as 36,so if length=x then width=2x therefore X+X+2X+2X=36 therefore x=6 then width=2x =12.

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The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14

kodGreya [7K]

$\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}$

In decimal form, a = 114.5; b = 25.5

We will write this as a system of equations, where $a$ and $b$ are the two angles.

$\left \{ {{a=5b-13} \atop {a+b=140}} \right$

We will use substitution to solve this system. We know what $a$ equals, so we plug that into the second equation.

$5b-13+b=140$

Combine the like terms.

$6b-13=140$

Add $13$ on both sides.

$6b=153$

Divide both sides by $6$ .

$b=\frac{153}{6}=\boxed{\frac{51}{2}}$

Now just subtract that from $140$ .

$a=140-\frac{51}{2}=\boxed{\frac{229}{2}}$

7 0

2 years ago

Five bags of chips cost $7.

Dvinal [7]

Answer:

1. $1.40 2. $8.40

Step-by-step explanation:

1. 7 divided by 5 is 1.4

2. 1.40 plus $7 equals $8.40

6 0

2 years ago

Read 2 more answers

Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)

raketka [301]

Answer:

$g(-2)=20$

Step-by-step explanation:

Given $g(x)=2x^2-2x+8$ , substitute what is in the parentheses for $x$ to find an output.

For $g(-2)$ , the term $-2$ is in the parentheses. Thus, substitute $x=-2$ into $2x^2-2x+8$ to find $g(-2)$ :

$g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}$

5 0

2 years ago

Read 2 more answers

Which expressions are equivalent to − 56 z + 28 −56z+28minus, 56, z, plus, 28? Choose 2 answers: Choose 2 answers: (Choice A) A

Dmitrij [34]

Answer:

$(D)-2(28z-14) \: and\:\\(E) -7(8z-4)$

Step-by-step explanation:

We are to determine which of these expressions are equivalent to: $-56 z + 28$

$(A)\frac{1}{2}\cdot(-28z+14) \\(B)(-1.4z+0.7)40\\(C)(14-7z)\cdot(-4)\\(D)(8z-4)(-7)\\(E)-2(-28z-14)$

$-56 z + 28$

If we factor out -2

$-56 z + 28=-2(\frac{ -56 z}{-2} + \frac{28}{-2})=-2(28z-14)$

If we factor out -7

$-56 z + 28=-7(\frac{ -56 z}{-7} + \frac{28}{-7})=-7(8z-4)$

Therefore, the two equivalent expressions are:

$-2(28z-14) \: and\: -7(8z-4)$

5 0

2 years ago

What is the equation of the sinusoid shown in the graph?

ololo11 [35]

Answer:

Answer: C

Step-by-step explanation:

The Cosine Function

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

$y=\cos x$