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3 years ago

Show that the triangles are similar and write a similarity statement.

Mathematics

1 answer:

RoseWind [281]3 years ago

7 0

Answer:

the circle is a square so that means a triangle is a circle

Step-by-step explanation:

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Match the real-world problem to its constant of proportionality.

irakobra [83]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{x}{y} = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{x}{y} = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{x}{y} = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{x}{y} = \frac{24}{2} = 12$

So, the proportionality constant is 12.

7 0

3 years ago

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean i

notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

a. What is the probability that your last pot will have the necessary 7 crabs?

b. What is the probability that your last pot will be empty?

Answer:

a. Probability = 0.0083

b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)= {e-2.4*2.47/7!} = 0.0083

The probability that your last pot will be empty is calculated as:

P(X=0)= {e-2.4*2.40/0!} = 0.0907

8 0

3 years ago

What value of Y will satisfy the given equation y divided by 2y — 15 = 7/5

guapka [62]

Answer:

$\huge\boxed{\sf y = \frac{41}{5} \ OR \ y = 8\frac{1}{5} }$

Step-by-step explanation:

$\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

3 0

3 years ago

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

olasank [31]

Answer:

Explanation:

I used the calculator.

4 0

3 years ago

The bearing of Y from X is 63

zimovet [89]

Answer:

117°

Step-by-step explanation:

<u>As per diagram:</u>

∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

<u>Find the measure of ∠YXZ:</u>

m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°

8 0

3 years ago