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FromTheMoon [43]

3 years ago

10

Ociel has designed a square mural that measures 10 feet on each side. Bill has also designed a square mural, but his measures y

feet shorter on each side. How much smaller than Ociel's mural is Bill's mural? Explain

1 answer:

Papessa [141]3 years ago

5 0

Ocel’s 10x10=100
Bill’s (10 - y) (10 - y)

I don’t know which answer your teacher wants
100 - [(10-y)(10-y)]
100 - (100 -20y + y^2}
20y - y^2

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

Complete the table. Will choose brainliest.

maxonik [38]

Answer:

first one is 82% second is 214%

Step-by-step explanation:

Step 1: Divide 288 by 351 to get the number as a decimal. 288 / 351 = 0.82

Step 2: Multiply 0.82 by 100. 0.82 times 100 = 82

Step 1: Divide 212 by 99 to get the number as a decimal. 212 / 99 = 2.14

Step 2: Multiply 2.14 by 100. 2.14 times 100 = 214

5 0

2 years ago

Please help with #1 and explain your answers! Thank you

sashaice [31]

1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.

1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.

1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.

8 0

2 years ago

Read 2 more answers

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

makkiz [27]

Answer:

y = 12-(61) is the answer !!

7 0

3 years ago

A package of Big Bubbles Gum has 10 pieces and sells for 2.90. A package of fruity gum has 20 pieces and sells for 6.20. Compare

larisa86 [58]

Answer:

The unit price for the Big Bubbles Gum is 0.29 cents, while the unit price for the fruity gum is 0.31 cents.

Step-by-step explanation:

First identify what you know:

1) A package of Bug Bubbles Wrap, containing 10 pieces of gum, sells for a total of $2.90.

2) A package of fruity gum, with 20 pieces of gum, sells for a total of $6.20.

What is the unit price? The unit price is how much you're selling for a single piece within the package! If you were to buy just one packet, how much would it cost? To calculate this, simply divide the total cost of the package, but the number of units, or rather, pieces!

$2.90/10 = 0.29 cents

$6.20/20 = 0.31 cents

From this, we see that a single unit (piece) of the Big Bubble Gum, is only 29 cents, while a single unit (piece) of the fruity gum is 31 cents. So, it would be a better deal to buy the Big Bubble Gum!

For, twenty of the Big Bubble Gum, you'd buy two packages, for $5.80, which is 40 cents less than one package of 20 pieces of fruity gum!

Hope this helps! :)

6 0

3 years ago

Read 2 more answers