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3 years ago

The ratio of the angle measures in triangle BCR is 2:3:4. find the angle measures

Mathematics

2 answers:

Georgia [21]3 years ago

8 0

Answer:

40, 60, 80

Step-by-step explanation:

The sum of angles in all triangles is 180 degrees (assuming you are talking about Euclidean geometry). If 2:3:4 is the ratio then

2x + 3x + 4x = 180

9x = 180

x = 20

Now that we now what x is, we can find the respective angles by plugging the value of x in. The angles are 40, 60, and 80 respectively.

julia-pushkina [17]3 years ago

3 0

Answer:

40:60:80 (in accordance with 2:3:4, respectively)

Step-by-step explanation:

To solve this problem, we need to change the integers within the ratio to coefficients for new variables.

1) Convert 2:3:4 to 2x:3x:4x.

2) Add all of the variables and coefficients together (2x + 3x + 4x). We should end up with 9x in total.

3) Set the 9x equal to 180°, so 9x = 180° (180° being the number of degrees within a triangle).

4) Simplify this equation (180/9, 9x/9). We should get x = 20.

5) Substitute the x = 20 into the variables that we changed within the ratio, so 2(20):3(20):4(20). As a result, we get 40:60:80.

Since these angle measures successfully add up to 180° (40 + 60 + 80), we know we solved this problem successfully.

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If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

german

Answer:

$Time = 7.5\ seconds$

Step-by-step explanation:

Given

$Equation:\ h(t) = -16t^2 + 120t$

$Initial\ Velocity = 160ft/s$

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

$h(t) = -16t^2 + 120t$

becomes

$0 = -16t^2 + 120t$

Solve for t in the above equation

$-16t^2 + 120t = 0$

Factorize the above expression

$-4t(4t - 30) = 0$

Split the expression to 2

$-4t = 0\ or\ 4t - 30 = 0$

Solving the first expression

$-4t = 0$

Divide both sides by -4

$\frac{-4t}{-4} = \frac{0}{-4}$

$t = \frac{0}{-4}$

$t =0$

Solving the second expression

$4t - 30 = 0$

Add 30 to both sides

$4t - 30+30 = 0+30$

$4t = 30$

Divide both sides by 4

$\frac{4t}{4} = \frac{30}{4}$

$t = \frac{30}{4}$

$t = 7.5$

Hence, the values of t are:

$t =0$ and $t = 7.5$

$t =0$ shows the time before the launching the rocket

while

$t = 7.5$ shows the time after the rocket returns to the floor

5 0

3 years ago

Expanded form for 3,029,251

aliina [53]

Try this : <span>3x10^6 + 2x10^4 + 9x10^3 + 2x10^2 + 5x10 + 1</span>

8 0

4 years ago

Read 2 more answers

Multiply -c^2(3c-2) apply distributive property and multiply

alexandr402 [8]

Answer:

$\large\boxed{-c^2(3c-2)=-3c^3+2c^2}$

Step-by-step explanation:

$-c^2(3c-2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(-c^2)(3c)+(-c^2)(-2)\\\\=-3c^3+2c^2$

7 0

3 years ago

An elevator starts at the basement with 8 people (not including the elevator operator) and discharges them all by the time it re

Rus_ich [418]

Answer:

1287

Step-by-step explanation:

Number of people in elevator , n = 8

Number of floors, r = 6

Since they all look alike, arrangement doesn't matter, the we use combination :

(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5

Recall:

nCr = n! / (n-r)!r!

13C5 = 13! / (13-5)!5!

13C5 = 13*12*11*10*9 / 5*4*3*2*1

= 1287

4 0

3 years ago

the ratio of weight to mass is constant.which statement describes the ratio of weight to mass and the value of x in the table

anzhelika [568]

HERE IS THE FULL PROBLEM!!!!

the table below lists four names and their corresponding aproximant weights on earth.

________________________________

mass (kilograms) | weight (newtons)

20 | 196

50 | 490

x | 1078

130 | 1274

140 | 1372

the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?

A. 98/10; X =90

B. 98/10; =110

C. 10/98; X =90

D. 10/98; X= 110

6 0

3 years ago