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Damm [24]
3 years ago
8

Given the following triangle,solve for angle C

Mathematics
2 answers:
Anestetic [448]3 years ago
6 0
The answer is 56 since you do 34 plus 90 and subtract that from 180
nataly862011 [7]3 years ago
6 0

Answer:

56 degrees

Step-by-step explanation:

Total angle measure of a triangle - 180 degrees

a square on an angle indicates that it is a right angle, or 90 degrees.

Another angle is 34 degrees.

<a + <b + <c = 180

Add them together then subtract them from the total angle measure (180)

90 + 34 + <c = 180

124 + <c = 180

124 - 124 + <c = 180 - 124

<c = 56

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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

7 0
4 years ago
Read 2 more answers
Given: m∠AKB = 25°
dexar [7]

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

<em>I'm leaving it like this to get a more accurate number</em>

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about <u>255.98189 pi</u>

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>

The Surface Area is about <u>172.64114π</u>

8 0
3 years ago
Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the secant line that cuts the cur
jek_recluse [69]
First find the secant line. The slope of the secant line through (-1,1) (when x=-1) and (2,4) (when x=2) is the average rate of change of y=x^2 over the interval [-1,2]:

\text{slope}_{\text{secant}}=\dfrac{2^2-(-1)^2}{2-(-1)}=\dfrac33=1

The tangent line to y=x^2 will have a slope determined by the derivative:

y=x^2\implies y'=2x

Both the secant and tangent will have the same slope when 2x=1, or when x=\dfrac12.
4 0
3 years ago
What fraction is equivalent to 0.997
Katena32 [7]
It’s is 997/1000. Just put the number over the highest decimal place
8 0
3 years ago
Estimate the product of 23.725 ×6.25. then find the product why is it a good idea to estimate first
LuckyWell [14K]
It's 154.687 because first you have to line up the dot which is call and. And you going to add your place holder which is a 0 next to the 2 and the you times
8 0
3 years ago
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