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2 years ago

^Solve for x. Please help me if you can I really need the answer

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

8 0

Answer:

x ≈ 25.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = $\frac{opposite}{hypotenuse}$ = $\frac{11}{x}$ ( multiply both sides by x )

x × sin26° = 11 ( divide both sides by sin26° )

x = $\frac{11}{sin26}$ ≈ 25.1 ( to 1 dec. place )

m_a_m_a [10]2 years ago

6 0

"Correct" Answer:

Step-by-step explanation:

It's automadically 90 degrees because it's an acute angle, so you add 11 + 26 which gives you 37. Subtract 90 from 37 and it gives you 53, the variable.

26 + 11 = 37

90 - 37 = 53

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3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height i

Sphinxa [80]

Answer:

Hence the new height is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

$V=pie*r^2*h/3$

Here V is directly proportional to h i.ee pie ,3 and r being constant

$V=K*h$

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e h1=3h

Hence the height is 3 times the original height .

4 0

3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0

3 years ago

Please Help Me I Need Finish This Tonight

vladimir2022 [97]

1) a- rectangle
b- same place you started, facing west
2) a- right triangle
b- parallelogram
c- not sure the specific name they are looking for...
* also have no clue what a recipe is in terms of this lol
3) a- square
b- rectangle, depending on the length of the segments and their distance
apart
4) not sure

5 0

3 years ago

Item 21

Pavlova-9 [17]

Answer:

1st: 5x

2nd: 6ft

Step-by-step explanation:

I really don't know how just got the answer right.

5 0

3 years ago

2 numbers total 47 and have a difference of 21 what are the two numbers

murzikaleks [220]

x+y = 47

x-y = 21

------------ add together

2x =68 divide by 2

x=34

x+y = 47

34+ y = 47

subtract 34 from each side

y = 13

the two numbers are 34 and 13

7 0

3 years ago