Which angle measures represent an acute triangle?

1 answer:

8 0

Acute triangles have angle measures that are less than 90°, so here are your three answers:

20°, 80°, and 80°

60°, 60°, and 60°

25°, 75°, and 80°

You might be interested in

Plss answer my questions

KIM [24]

Answer:

a) 450. b) 1:1.25 c) 32 rooms

Step-by-step explanation:

1. 100*4.5 = 450

2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)

3. 64/2 = 32 rooms needed. They have 16.

Sorry if answers are wrong, the picture quality is really poor for me.

8 0

1 year ago

Read 2 more answers

Does 4 = 2+2 it seem like I'm really dumb but, trust me this is really hard

igomit [66]

Answer:

Yes it does

Sorry I need 20 characters so 2+2=4 there you go

5 0

2 years ago

Read 2 more answers

Pre Calculus:

Gwar [14]

Let n be a number of friends at the perty. If dinner costs $30 per person, then it cost $30n for all friends.

Robert has booked a banquet hall which costs $200, then his total expenses are $200+30n.

If the final bill is p, then p=200+30n.

Answer: p=200+30n.

3 0

3 years ago

Read 2 more answers

Which case allows for more than one triangle with the given measures to be constructed?

Anni [7]

A.three sides measuring 9 meters, 5 meters, and 5 meters

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.

C.three angles measuring 25°, 25°, and 130°

--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.

7 0

3 years ago

A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation

natulia [17]

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .