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ELEN [110]
3 years ago
14

The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

perimeter in inches of the triangle?
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

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You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be
azamat

Answer:

100 x 100 x 100 number cubes

Step-by-step explanation:

It's basically a volume problem.  The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube.  Or in other words the volume is 1,000,000.  Now how do we find the volume of a cube?  length times width times height, and witht he cubes each of those are the same so we can call them all x.

Now we just set up the equation where we have the equation whatever one side is times itself  three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000.  Now you just take the cube root of 1,000,000 which gets us 100.  so the length, width and height are 100 small cubes.

3 0
3 years ago
The largest set of x values satisfying
velikii [3]

Answer:

If p\ge -\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

Step-by-step explanation:

Solve two inequalities for x.

1. 2,018x-p

Separate terms with x and without x into two sides:

2,018x-2,020x

Multiply by -1:

2x>-2p\\ \\x>-p

2. 7x+3p

Separate terms with x and without x into two sides:

7x-10x

Multiply by -1:

3x>2+3p\\ \\x>\dfrac{2}{3}+p

Find the largest set of x values satisfying both inequalities:

x>-p\\ \\x>\dfrac{2}{3}+p

If

-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p

then x>-p and mn=-p=p\cdot (-1),\ m+n=p-1. In this case both m and n are negative.

If p>-\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

If p=-\dfrac{1}{3}, then x>\dfrac{1}{3} and mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}

7 0
3 years ago
Suppose given parallelograms EFGH ∼ IJKL, such that m∠E=70°. Find m∠J and m∠L.
jarptica [38.1K]

if both parallelograms are similar, that means all their angles are the same, one might be larger or smaller, but the angles are all the same for both.

in a parallelogra, opposite angles are equal, and their counterpart angle, are their supplementary sibling, namely they both siblings add to 180°.

check the picture below

8 0
3 years ago
Trey randomly selects one card a from a standard 52-card deck.
stira [4]

Answer:

3/4 AND MUTUALLY EXCLUSIVE

Step-by-step explanation:

PLATO

4 0
3 years ago
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function? A. (2,0) and (9,0) B.
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Answer:

D. (-2,0) and (9,0)

Step-by-step explanation:

set the two factors equal to zero and find your two x values and those are the x intercepts. ( y value for x intercepts are always zero)

4 0
3 years ago
Read 2 more answers
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