Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now?

In the diagram,

forsale [732]

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = $\frac{1}{2}(\text{AD})$

= 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

AB = 3 units

Now we have measurements of the segments as,

AB = BC = 3 units

AC = CD = 6 units

AD = 12 units

Total number of segments = 5

Length of segments more than 3 = 3

Probability to pick a segment measuring greater than 3,

= $\frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}$

= $\frac{3}{5}$

= 0.6

4 0

3 years ago

Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap

bazaltina [42]

Answer:

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

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

Step-by-step explanation:

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

so

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

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

<em>The circumference of a quarter of circle is equal to</em>

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

substitute the given values

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

$C=6\pi\ cm$

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

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

$AC=\sqrt{288}\ cm$

simplify

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

Find the perimeter

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

simplify

Factor 6

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

6 0

3 years ago

In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?

Ray Of Light [21]

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

5 0

3 years ago

Heidi has x donations for the bake sale. Grandpa Case has 2 fewer donations than Heidi. If there are 7 donations in all, which e

dolphi86 [110]

We know that Heidi has x donations. We also know that Granpa has 2 fewer donations than Heildi, which means to subtract so x - 2. We also know that there are 7 donations in all. This tells use donations = 7 in all. So

Heidi donations = x
Grandpa = x - 2
Heidi + Grandpa = Total donations

x + (x-2) = 7

4 0

3 years ago

Biologists found a new species of pale shrimp at the

Vera_Pavlovna [14]

<h3>Approximately 5 kilometers, below the sea's surface is the vent</h3>

<em><u>Solution:</u></em>

Given that,

The vent is 3.1 miles below the sea's surface

To find: kilometers below the sea's surface is the vent

From given,

1 kilometer = 0.6214 miles

Use the above conversion factor and convert 3.1 miles to kilometers

From above,

$1\ miles = \frac{1}{0.6214}\ kilometers$

Therefore,

$3.1\ miles = \frac{3.1}{0.6214}\ kilometers = 4.988 \approx 5\ kilometers$

Thus, approximately 5 kilometers, below the sea's surface is the vent

8 0

3 years ago