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marishachu [46]
3 years ago
12

A quadrilateral can have four obtuse angles. True False

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
The correct answer to this question is FALSE. A quadrilateral CAN NOT have four obtuse angles.<span>sum of all the interior angles in a quadrilateral is 360. i think you can think about the answer now with this in mind.
</span>
All the internal angles of a quadrilateral sum to 360 degrees If all are obtuse that means every angle >90 so Sum of all is >360

That's not possible

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Volume of Composite Figure
Pavlova-9 [17]
68 cubic in.

Explanation:
The explanation is too long, just trust me and look at keep in mind these steps:

Separate that figure into 2 pyramids and 1 rectangular prism. Find the volume of each figure and add them all up

Keep in mind that the formula for volume of rectangular prism is length x width x height

The formula for volume of triangular prism is
1/2 x length x width x height.

Hope this helps! Comm.ent me if u have any questions

Mark me brainliest if I got this right!
-SpaceMarsh
7 0
3 years ago
The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard
user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

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.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that \mu = 80, \sigma = 6

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

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

1.96 = \frac{X - 80}{6}

X - 80 = 6*1.96

X = 91.76

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3 0
3 years ago
PLEASE HELP ME!!
Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

6 0
3 years ago
A plan for a house is drawn on a 1:40 scale .if the length of the living room on the plan measures 4.5 inches ,what is the actua
nydimaria [60]
<span>A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room?
Answer:</span><span>15 feet


Hop this helped!</span>(◕ω◕✿)
5 0
3 years ago
Graph the following:<br> (x - 1)2 + (y - 3)2 = 4 <br> Center<br> Radius
poizon [28]

Answer:

Center  = (1,2)  radius = 2

Step-by-step explanation:

I used Demos to graph the circle.

Then I added two line to find the center of the circle

The radius is 2

8 0
3 years ago
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