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6 months ago

Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is a1=-3

Mathematics

1 answer:

timama [110]6 months ago

3 0

Answer:

Step-by-step explanation:

the formula for an arithmetic sequence:

aₙ = a₁ + (n-1)d

where aₙ = the nth term

a₁ = the 1st term = -3

n = the term number = 13

d = the common difference = 7

Plugging in those values into the formula to find a₁₃:

a₁₃ = -3 + (13-1)7

= -3 + (12)7

= -3 + 84

= 81

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Determine the value of x for the following isosceles triangle.

andrew11 [14]

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg $= \tt \frac{x}{9}$ inches

▪︎Measure of its base $= \tt \frac{5}{2}$ inches

Which means :

$=\tt 6 = \frac{x}{9}$

$=\tt \frac{6}{1} = \frac{x}{9}$

$=\tt 6 \times 9 = x \times 1$

$\hookrightarrow\color{plum}\tt 54 = x$

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

$=\tt 6 = \frac{54}{9}$

$= \tt6 = 6$

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 54</u>

8 0

2 years ago

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley

Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, $P=48\textrm{ m}$

Length is 5 times the width.

Let width be $x$ .

So, as per question,

Length, $l = 5x$

Now, perimeter of rectangle is given as:

$P=2(l+b)$

Plug in 48 for $P$ , $5x$ for $l$ and $x$ for b.

$48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4$

Therefore, width is 4 m.

Length is $5x=5\times 4=20$ m.

8 0

3 years ago

when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative

Mekhanik [1.2K]

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation:

8 0

1 year ago

Liza needs a total of 22.23 square feet of cloth to make a bag and a towel the bag requires 5.13 square feet of cloth the height

Troyanec [42]

Answer:

5.7 feet

Step-by-step explanation:

Total cloth area recquired to make a bag and a towel is 22.23 square feet

Given the area of the cloth recquired to make the bag is 5.13 square feet.

The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet

given the height of the towel = 3 feet

let the length of the towel be x

We know that $area = length\times height$

area=3x

$3x=17.1\\x=5.7$

therefore the length of the towel is 5.7 feet

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2 years ago

What would happen to the perimeter of a shape when the dimensions are multiplied by 10

Mrrafil [7]

Answer:

Be 10 times larger.

Step-by-step explanation:

Imagine the perimeter is just 10. If it got 10 times larger, it goes to 100.

6 0

2 years ago