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2 years ago

One angle in a complementary pair of angles measures 3 times the other angle.

Mathematics

1 answer:

GuDViN [60]2 years ago

4 0

Answer:

22.5 degrees

Step-by-step explanation:

Complementary angles add up to be 90 degrees. You can model the simple equation $x+3x=90$ where is x is the small angle and 3x is the large angle.

$4x=90\\x=22.5$

the smaller angle is 22.5 degrees

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7. A hippopotamus weighs 1.5 tons. What is its weight in ounces

Dmitrij [34]

48000 ounces is the weight of the hippo

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1 year ago

Read 2 more answers

Choose the correct simplification of (9xy^5)^2.

Grace [21]

Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰

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2 years ago

A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t

Harman [31]

Answer:

The expectation is $E(1 )= -\$ 1$

Step-by-step explanation:

From the question we are told that

The first offer is $x_1 = \$ 8000$

The second offer is $x_2 = \$ 4000$

The third offer is $\$ 1600$

The number of tickets is $n = 5000$

The price of each ticket is $p= \$ 5$

Generally expectation is mathematically represented as

$E(x)=\sum x * P(X = x )$

$P(X = x_1 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_1 ) = 0.0002$

Now

$P(X = x_2 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_2 ) = 0.0002$

Now

$P(X = x_3 ) = \frac{5}{5000}$ given that they offer five

$P(X = x_3 ) = 0.001$

Hence the expectation is evaluated as

$E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001$

$E(x)=\$ 4$

Now given that the price for a ticket is $\$ 5$

The actual expectation when price of ticket has been removed is

$E(1 )= 4- 5$

$E(1 )= -\$ 1$

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2 years ago

Which of the following statements could be translated to the equation n-5=-2?

Klio2033 [76]

Answer:

The difference between a number and five is negative two.

Step-by-step explanation:

n-5=difference between a number and five

=-2 means is negative two

8 0

2 years ago

Can someone please help me on this

choli [55]

Answer:

if you flipped one of the figures you will see that they are both the same shape and the same distance from the x and y axes.

3 0

2 years ago