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3 years ago

Solve for 15 ≥ -3x or x ≥ -2.

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

x≥−5

Step-by-step explanation:

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Help plzzzzzzzzzzzzzzzzzzzzz

prohojiy [21]

Answer:

c = ${\boxed{\boldsymbol{29}}}$ km

Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

${\longrightarrow{\pmb{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}}}$

$\purple\star$ a = 20 km
$\purple\star$ b = 21 km
$\purple\star$ c = ?

Substituting all the given values in the formula to find the third side of triangle :

$\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{{(20)}^{2} + {(21)}^{2} = {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{(20 \times 20) + (21 \times 21) = {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{841= {(c)}^{2}}}} \\ \\ \quad{\longrightarrow{\sf{c = \sqrt{841}}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}$

Hence, the length of missing side of triangle is 29 km.

$\rule{300}{2.5}$

3 0

2 years ago

Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?

mrs_skeptik [129]

D is the right answer

3 0

3 years ago

Read 2 more answers

Express 10.9090909091... as a rational number, in the form pq where p and q are positive integers with no common factors.

Alexeev081 [22]

Firts, Let $x$ be the repeated decimal that we are trying to convert , so $x=10.9090909090$ equation (1)

Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
$100x=1090.90909090$ (2)

Subtract equation (1) from equation (2):
$100x-x=1090.90909090-10.90909090$
$99x=1080$

Solve for $x$
$x= \frac{1080}{99}$

We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span> $\frac{1080}{99}$ .

4 0

3 years ago

From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is

harina [27]

To find how far the boat is from the bottom of the cliff is you’ll use tan;

Tan18degrees=120/x

x=120/tan18degrees

x=369m

4 0

3 years ago

Martina purchases a bookcase at $91. With sales tax, the total comes out to $94.64. What is the sales tax percentage?

olchik [2.2K]

Thanks so sorry to bother y’all yesterday but we are doing well and we are going out tomorrow morning to get our stuff done for tomorrow evening thanks for the call and I let him go to work tomorrow or tomorrow morning I can meet with him and meet him and there are we going out tomorrow at 7pm is that we can do that and if so I will let ya guys out tomorrow and I

7 0

4 years ago