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3 years ago

Tessellations

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

Answer:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

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If (x+3)(x-5)=x^2 +mx-15, the value of m is...?<br> Pls explain the answer, thx!

katovenus [111]

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let's solve :

first step : we have to expand the term in L.H.S

$(x + 3)(x - 5)$
${x}^{2} - 5x + 3x - 15$
${x}^{2} - 2x - 15$

now, let's equate the equations to find the value of m :

${x}^{2} - 2x - 15 = {x}^{2} + mx - 15$

value of m = -2

3 0

3 years ago

Read 2 more answers

The length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 294 cm^2. Find th

storchak [24]

Answer:

Length = 21 cm

Width = 14 cm

Step-by-step explanation:

Let the width of the jewel case = m cm

So, the length of the case = (m + 7) cm

Area of the case = $294cm^{2}$

Now, Area of a Rectangle = Length x Width

= m x (m + 7)

⇒ m x (m + 7) = 294

or, $m^{2} + 7m - 294 = 0$

⇒ $m^{2} + 21m - 14m - 294 = 0$

or, $m(m+21) -14( m + 21)$

⇒(m + 21)(m -14) = 0

Hence, either (m + 21) = 0 ⇒ m = -21

or, (m -14) = 0⇒ m = 14

Since, m is the width of a case, so it can not be negative

Hence the width of the jewel case = m = 14 cm

And the length of the case = (m + 7) = 14 + 7 = 21 cm

3 0

3 years ago

The Spanish club is selling plates of food as a fundraiser. A plate with 2 tacos, 2 cheese enchiladas, and 1 tamale costs $8.50.

frutty [35]

Answer:

Step-by-step explanation:

Put the numbers that represents tacos, enchiladas and tamales in front of x, y and z

For instance,

2x+2y+1z=8.50

3x+2y+2z=13

1x+3y+2z=11.50

5 0

3 years ago

A single card is drawn from a deck. Find the probability of selecting

shepuryov [24]

Answer:

A. 1/2.

B. 15/26.

Step-by-step explanation:

Note when you have an 'OR' in the statement we <u>add </u>the probabilities.

A . Club or a diamond . There are 13 clubs and 13 diamonds so

The Required Probability = 13/52 + 13/52

= 1/4 + 1/4 = 1/2.

B. There are 4 jacks and 26 black cards.

The Required Probability = 4/52 + 26/52

= 1/13 + 1/2

= 2/26 + 13/26

= 15/26.

5 0

4 years ago

S (SOA) An annuity pays 1 at then end of each year for n years. Using an annual effective interest rate of i, the accumulated va

Reptile [31]

Answer:

Step-by-step explanation:

Given:

Annuity at time (n + 1) = 13.776

(1 + i)ⁿ = 2.476

Now,

$S_{n/i}=\frac{(1+i)^n-1}{d}$

here, d = $\frac{i}{1-i}$

thus,

$13.776=\frac{2.476-1}{d}$

d = 0.1071

therefore,

d = $\frac{i}{1+i}$

0.1071 = $\frac{i}{1+i}$

0.1071 + 0.1071i = i

i = 0.1199

now,

(1 + i)ⁿ = 2.476

(1 + 0.1199)ⁿ = 2.476

1.1199ⁿ = 2.476

taking log both sides

n × log(1.1199) = log(2.476)

n = 8.006 ≈ 8

hence,

the answer is 8

7 0

3 years ago