All categories

2 years ago

Find the value of X in the triangle shown.

Mathematics

1 answer:

zalisa [80]2 years ago

7 0

X = 12

Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x

You might be interested in

Just tell me if these soccer balls show a reflection. Its for a math assignment i just need to know if this shows a reflection

lidiya [134]

Answer: Yes

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Can someone explain how to do this please?

Rufina [12.5K]

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

${ ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0$

for every x greater than zero, use the second line to determine the value

${3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7$

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

-Alex

3 0

3 years ago

A physician orders 140mg of a medication to give orally. You have 125mg/5mL on hand. What is the correct dose of medication to g

adelina 88 [10]

<h2>Hello!</h2>

The answer is: The correct dose of medication to give is 5.6 mL

To solve this problem we need to establish a relationship between the prescripted medication and the available solution.

Let's write the needed equations to establish the relantionship:

$\frac{125mg}{5mL}=1\\\\125mg=5mL$

The available solution means 125 mg each 5 mL of solution, so:

$\frac{125mg}{5mL}=\frac{140mg}{x}\\\\x*\frac{125mg}{5mL}=140mg\\\\x=140mg*\frac{5ml}{125mg}=\frac{700mg*mL}{125mg}=5.6mL$

Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.

Have a nice day!

3 0

3 years ago

Solve for t and find the value for t if I= 115, P=650, r=5%

Brrunno [24]

P=650
R= 5% annually= 0.05
T=1 month=1/12 year

Sl=Prt=650*0.05*1/12= $2.70
So the answer would be 2.7 or 2.70

5 0

3 years ago

Can someone help me with this?

Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

3 0

3 years ago