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3 years ago

I need to solve for x

Mathematics

1 answer:

podryga [215]3 years ago

8 0

Answer:

30 degrees

Step-by-step explanation:

This is an isosceles triangle having 2 equal sides and 2 equal base angles.

since the measurement of all the internal angles of the triangle is 180 degrees and we know that each base angle is 75 degrees

solving for x:

75 + 75 + x = 180 degrees

150 + x = 180

x = 180 - 150

x = 30 degrees

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Eveyln packed this box with 1 inch

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Answer:

where are the answer choices

Step-by-step explanation:

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3 years ago

A painter leans a 12-foot ladder against a house. The base of the ladder is

tatiyna

11.3 feet.

12 squared (144) minus 4 squared (16) is equal to 128. The square root of 128 is approximately 11.3.

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3 years ago

Lisa has a rectangular drawing that is 43.5 centimeters by 934 millimeters. How many centimeters of wood framing will she need?

KIM [24]

Lisa's drawing has the following dimensions:
Width=43.5 cm
Length=934 mm

but 1 cm =10 mm
thus
934mm when converted into cm we shall have:
length=93.4 cm

To get the total length of material required to frame the picture, we calculate the perimeter.
P=2(L+W)
P=2(93.4+43.5) cm
P=2(136.9)
P=273.8 cm

The total length of material required will be 273.8 cm

8 0

3 years ago

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

3 years ago

IF A LIQUID WEIGHS 2 POUNDS AND HAS A CApacity of 3 gallons. what is its density

umka21 [38]

Answer:

0.08 g/cm³

Step-by-step explanation:

We are given;

Mass of the liquid = 2 pounds

But; 1 pound = 453.592 g

Therefore, mass = 907.184 g

Volume of the liquid = 3 gallons

But; 1 gallon = 3785.41 cm³

Thus, volume = 11356.23 cm³

We are required to determine the density of the liquid;

We need to know that;

Density = Mass ÷ Volume

Therefore;

density of the liquid = 907.184 g ÷ 11356.23 cm³

= 0.0799 g/cm³

= 0.08 g/cm³

Thus, the volume of the liquid is 0.08 g/cm³

3 0

3 years ago