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densk [106]
2 years ago
14

The angle measures of the three angles of a triangle are in the ratio $1:3:6$. What is the number of degrees in the measure of t

he largest angle?
Mathematics
1 answer:
NikAS [45]2 years ago
6 0

Answer:

Step-by-step explanation:

Since the angles of a triangle all have to add up to equal 180, then, given the info we are given:

1x + 3x + 6x = 180 and

10x = 180 so

x = 18

That means that the smallest angle measures 18, the middle angle measures 3(18) which is 54, and the largest angle measures 6(18) which is 108.

Checking our math, does 18 + 54 + 108 add up to equal 180? Yes, it does!! Yay for us!!

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A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s
Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

h(t)=-16t^2+32t+128

t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

-16t^2+32t+128=0

The above is a quadratic equation. It can be solved by the formula as follows :

t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 32 and c = 128

t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s

Neglecting negative value, the projectile will land after 4 seconds.

4 0
3 years ago
Due tomarrow please help!!!!!!!!!!!!!!!!!!!!!!!!! Identify the independent and dependent variables in the following statement. T
miskamm [114]
The independent variable is the rate that water is flowing into the pool, and the dependent variable is the depth of water in the pool.

I believe this would be the case due to the fact that we are not in control of the flow yet the flow impacts the depth. So flow would be independent while the pool depth would be dependent on the rate of flow.
8 0
3 years ago
julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will
tigry1 [53]

Answer:

The final cost for him is;

\text{ \$154.44}

Explanation:

Given that the ipod costs $220;

C=\text{ \$220}

The store gives a 35% discount, which means he will only pay 65% of the original cost;

100\text{\%- 35\% = 65\%}

The store price is;

\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}

Also he will need to pay additional 8% sales tax on the discounted price P;

\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}

The final cost he need to pay is the sum of the discounted price and the sales tax;

\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}

Therefore, the final cost for him is;

\text{ \$154.44}

5 0
1 year ago
Please help I would love that!
Kazeer [188]

Answer:

Area= 7234.56

Step-by-step explanation:

area= πr²

diameter= 96

so that means radius is 48

48^{2} \pi= 7234.56

8 0
2 years ago
Read 2 more answers
Use substitution to solve each of the following pairs of simultaneous equations.
Ronch [10]

Answer:

I will go for a part the rest You can do by yourself

Step-by-step explanation:

Multiply the second equation to get same amount of x in both equations

2x=2-3y/2

multiply both equations by 2 to get rid of the fraction in second equation

4x+14y=34

4x=4-3y

subtract equation(2) from equation(1)

14y=30+3y

11y=30

y=30/11, x=-23/22

6 0
3 years ago
Read 2 more answers
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