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2 years ago

Find the perimeter of the region.

Mathematics

1 answer:

tatyana61 [14]2 years ago

8 0

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

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Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase. Part A: What is the greatest nu

Dima020 [189]

Answer:

Part A

= 9 flowers

Part B

= 5 flowers

Step-by-step explanation:

Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.

Part A: What is the greatest number of flowers she can put in each vase?

This is calculated as:

59 flowers ÷ 6 vases

= 9 5/6 flowers

Therefore, the greatest number of flowers she can put in each vase is 9 flowers

Part B: How many flowers will Emily have left over?

We have to calculate the number of flowers in the 6 vases above

= 9 flower × 6

= 54 flowers

Hence:

= 59 flowers - 54 flowers

= 5 flowers

Therefore, Emily would have 5 flowers left over.

8 0

3 years ago

Question attached below

tamaranim1 [39]

Answer:

B . $f(x+h)=\frac{x+h}{1+x+h}$

Step-by-step explanation:

Given function is:

$f(x)=\frac{x}{1+x}$

Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.

So putting x+h in place of x

$f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}$

So, option B is the correct answer ..

6 0

4 years ago

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?

sweet-ann [11.9K]

Answer:

A, -1/13

Step-by-step explanation:

slope = rise / run

(12-7)/(39-12)

5/-65

simplify: 1/-13

3 0

3 years ago

Pls Answer Soon! NO LINKS; THANK YOU!!

NISA [10]

Answer:

x^2/12 -x+4

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

7 0

3 years ago

Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.

lora16 [44]

First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.

The sum $x^2+y^2$ can be written as: $x^2+y^2=(x+y)^2-2xy$ ,

from the binomial expansion formula: $(x+y)^2=x^2+2xy+y^2$ .

Thus, substituting y=-3x+18 and simplifying we have

 $x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)$ $=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x$ $=10x^2-108x+18^2$ .

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.

At x=5.4, the expression $10x^2-108x+18^2$ , which is equivalent to $x^2+y^2$ , takes it smallest value.

Substituting, we would find $10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324$ =32.4 This is the smallest value of the expression.

For x=5.4, y=-3x+18=-3(5.4)+18=1.8.

Answer: (5.4, 1.8)

8 0

3 years ago

**Find the perimeter of the region.**

Find the perimeter of the region.