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3 years ago

Answer number 1 and 2 am giving brainliest please help

Mathematics

2 answers:

Ymorist [56]3 years ago

5 0

9514 1404 393

Answer:

38 square inches

Step-by-step explanation:

The figure is a quadrilateral with one pair of parallel sides. That means it is a trapezoid, so the area formula for a trapezoid is applicable.

A = (1/2)(b1 +b2)h

The two parallel bases are 7 in and 12 in. The height is the perpendicular distance between them, 4 in. So, the area is ...

A = (1/2)(7 in +12 in)(4 in) = (1/2)(19 in)(4 in)

A = 38 in²

The area of the trapezoid is 38 square inches.

natali 33 [55]3 years ago

5 0

Answer:

<h2><u>Answer </u><u>:</u><u>-</u></h2>

We know that

The shape is trapezoid.

According to Question,

The area of trapezoid = ½(a + b) × h

a and b are parallel side of the trapezoid
H is the height of trapezoid

$\large \sf \: \dfrac{1}{2} \bigg(12 + 7 \bigg) \times 4$

$\large \sf \: 1 \times 19 \times 2$

$\large \sf \: 19 \times 2$

$\large \sf \: 38 \: in {}^{2}$

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3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.

lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0

4 years ago

-5, 20, -80, 320, ... is a geometric sequence a. Find the common ratio, b. Write its recursive rule c. Write its explicit rule.W

mario62 [17]

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

$\text{ratio}=\frac{20}{-5}=-4$

The recursive rule can be found with the formula:

$a_n=a_{n-1}\cdot q$

Where an is the nth term and q is the ratio. So we have:

$a_n=a_{n-1}\cdot(-4)$

The explicit rule can be written as:

$a_n=a_1\cdot q^{n-1}$

Where an is the nth term, a1 is the first term and q is the ratio. So:

$a_n=-5\cdot(-4)^{n-1}$

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1 year ago

Question in the photo below

vichka [17]

Answer:

Step-by-step explanation:

Well the slope is y = -3/2x and B is the only option with that slope.

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3 years ago

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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

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2 years ago

How many 3/4 cup servings of cereal can be made from the box of cereal that has 11 1/4 cereal?

Kipish [7]

15 cereal servings that measure 3/4 cup

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4 years ago

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