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2 years ago

14)

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer:

A = 2(11 + 6x)

Step-by-step explanation:

GCF = Greatest Common Factor (remember example: 12 and 16 gcf = 4 because it is the largest number they have together. 12 = 4 * 3 and 16 = 4*4)

22 and 12's GCF is 2:

22 = 2*11

12 = 2*6

Using the distributive property, we can find out that A is the right answer.

However, let us check the other options:

B does not make sense because 6*5 is 30. 6 only applies to 12

C is not correct because it does not apply to 22 or 12

And D only applies to 12 as well because 4*3 = 12 but 4*6 is 24

A should be the answer so I hope this helps!

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Adult tickets to space amusement parkcost x dollars. Children's tickets cost y dollars. The henson family bought 3 aduly and 1 c

vesna_86 [32]

Answer:

3x + 1y = $163

2x + 3y =$174

Step-by-step explanation:

Adult tickets to space amusement park cost x dollars children’s tickets cost y dollars.

Henson family bought 3 adults and 1 child's tickets for $163

x + y = 163

3x + 1y = 163

The Garcia family bought 2 adults and 3 child’s ticket for $174.

x + y = $174

2x + 3y = $174

Therefore the equations representing both families cost are

Henson family

3x + 1y = $163

Garcia family

2x + 3y = $174

3 0

3 years ago

The radius of a circle is 3 meters. What is the circle's circumference? r=3 m Use 3.14 for .

Sunny_sXe [5.5K]

The answer would be 18.84

7 0

2 years ago

Justin lives 3 2 5 miles from his grandfather's house. Enter the mixed number as a fraction greater than one. 3 2 5 =

elena-s [515]

Answer: $\dfrac{17}{5}$ miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

$a\dfrac{b}{c}=\dfrac{ac+b}{c}$

The given mixed number = $3\dfrac25$ miles

This can be represented as

$3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1$

Hence, the required fraction= $\dfrac{17}{5}$ miles

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2 years ago

What’s the slope of these points (-8,3) and (-8,2)

m_a_m_a [10]

Answer:

donkeey kongy

Step-by-step explanation:

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3 years ago

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