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3 years ago

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

Let's find the Slope $m$ :

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

$m=-40$ 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)

I'm leaving it like this to get a more accurate number

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 255.98189 pi

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)

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

The Surface Area is about 172.64114π

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