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4 years ago

Guys can you help me and my brother with these 2 questions (im confused on this).

Mathematics

2 answers:

leonid [27]4 years ago

6 0

Answer:

1, i can't see the pic so i can't answer the Question

Step-by-step explanation:

konstantin123 [22]4 years ago

4 0

The second one is 950,400

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Elena walked 12 miles. Then she walked `\frac{1}{4}` that distance. How far did she walk all together?

zzz [600]

Answer:

15 miles

Step-by-step explanation:

12 + ( 1/4 x 12) = ?

12 + 3 = 15

7 0

3 years ago

Read 2 more answers

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

3 years ago

Write a recursive rule for the sequence 4,10,16,22

Phantasy [73]

Answer:

$a_{n+1}$ = $a_{n}$ + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

$a_{n+1}$ = $a_{n}$ + 6 with a₁ = 4

8 0

3 years ago

Example 2

PIT_PIT [208]

Answer: (a) 314.2cm², (b) 157.1cm², (c) 78.55cm² (e) 6.77

Step-by-step explanation: (a) Area of the circle with radius of 10 cm = πr²

= 3.142 × 10 × 10

= 3.142 × 100

= 314.2cm²

The formula = πr²

(b) Area of the half of a circle known as semicircle

= πr²/2

= 3.142 ×10 × 10/2

= 3.142 × 50

= 157.1cm²

The formula = πr²/2

= πr²/4

= 3.142 × 10 × 10/4

= 314.2/4

= 78.55cm²

The formula is written thus = πr²/4, which implies that the circle is divided into 4 unit

(d) The conjecture about how to determine the area of the sector is

Formula of a sector = ∅/360(πr²)

<u>Information</u>

The arc cant be 60°, therefore information incomplete.

(e) Area of the sector with the angle AOB of 60° = 24.

To find the radius of the angle, make v the subject of the formula from the formula.

Sector area = πr²∅/360°

equate formula to 24.

Therefore πr²∅/360° = 24

Multiply through by360° to make it a linear expression

It now becomes πr²∅ =24× 360°

r² = 24 x 360/π × ∅°

r² = 24 × 360° /3.142 × 60°

r² = 3,640/188.52

r² = 45.8

To find r , we take the square root of both side by applying laws of indicies

Therefore r = √45 .8

r = 6.77

(f) General formula = ∅°/360° × (πr²)

angle substended at centre by the arc = x°

assuming the radius of the circle = ycm, Therefore, area of the sector = { ∅°/360° × πy² }

8 0

3 years ago

The floor of a shed has an area of 108 ft. The floor is a rectangle whose length is 6 feet less than twice the width. Find the w

Lesechka [4]

A = L x W

A = 108

108 = L x W

L = 2w - 6

108 = (2w-6) (W)

7 0

3 years ago