All categories

3 years ago

Help ASAP please ! Explain too if you can

Mathematics

2 answers:

horrorfan [7]3 years ago

3 0

Answer:

Step-by-step explanation:

180-118=42 so angle c=42

add 42 +76 =138

in a triangle all degrees ad up to 180 so

subtract 138 from 180=42

ddd [48]3 years ago

3 0

Answer:

B) 42 degrees

Step-by-step explanation:

If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)

So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.

Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.

Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)

Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42

So the measure of angle E is 42.

You might be interested in

An article in USA Today stated that Internal surveys paid for by directory assistance providers show that even the most accurate

MariettaO [177]

Answer:

a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %

Step-by-step explanation:

a. This is a binomial probability.

Let q = probability of giving out wrong number = 15 % = 0.15

p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75

For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹

= 10(0.15)(0.75)⁹

= 1.5(0.0751)

= 0.1126

= 11.26 %

b. At most one wrong is P(x ≤ 1) = P(0) + P(1)

= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹

= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹

= 0.0563 + 0.01126

= 0.06756

= 6.756 %

≅ 6.76 %

Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.

3 0

3 years ago

What is the greatest common factor of 16,32, and 44?

liubo4ka [24]

The greatest common factor of the three numbers is 4

4 0

3 years ago

One square grid is formed of 400 squares. Another square grid is formed of 256 squares. If the two grids join with a third at th

Sav [38]

One square grid has an area of 400.
Another square grid has an area of 256.

The area of the third grid can be:

(squares in third grid) + 256 = 400

OR

256 + 400 = (squares in third grid)

We get this by applying the Pythagorean theorem.

So, the squares in the third grid can either be 144 or 656. And we only have 144 as an option, so that is your answer.

Your final answer is D. 144.

4 0

3 years ago

Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180

dezoksy [38]

Answer:

28.3 minutes
53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

<h3>application</h3>

For the given scenario, we find ...

a = room temperature = 20 . . . . degrees C

b = (180 -20) = 160 . . . . degrees C

c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

Solving for t when f(t) = 80, we find ...

80 = 20 +160(1/2)^(t/20)

3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

f(45) = 20 +160(1/2)^(45/20)

f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0

1 year ago

Read 2 more answers

Susan determined that the expression below is equal to 7.59 . 15.91 subtract 8.32

weqwewe [10]

The answer to your question is 7.59 so shes right

3 0

3 years ago