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Amiraneli [1.4K]
3 years ago
7

Solve for t. Express your answer in simplest and exact form.

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Step-by-step explanation:

Solve for t:

z = (h t^2)/2 + t q_1

z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:

(h t^2)/2 + t q_1 = z

Divide both sides by h/2:

t^2 + (2 t q_1)/h = (2 z)/h

Add q_1^2/h^2 to both sides:

t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2

Write the left hand side as a square:

(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2

Take the square root of both sides:

t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

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Find the hcf of 15a²b² and -24ab | plzzz solve
tino4ka555 [31]

Answer:

\large \boxed{\sf \ \ \ 3\cdot a \cdot b \ \ \ }

Step-by-step explanation:

Hello,

First of all, let's find the factors of these two numbers and I will put <u>in boxes the common factors.</u>

15a^2b^2=\boxed{3}\cdot 5\cdot \boxed{a} \cdot a \cdot \boxed{b} \cdot b \\ \\ \\-24ab=(-1)\cdot 2 \cdot \boxed{3} \cdot 4 \cdot \boxed{a} \cdot \boxed{b}

The Highest Common Factor (HCF) is found by finding all common factors and selecting the largest one. So, in this case, it gives

\large \boxed{\sf \ \ \ 3\cdot a \cdot b \ \ \ }

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Help. Find the value of x to the nearest tenth
vodka [1.7K]

I will assume that line 4 bisect line x exactly in half. This means that if we solve the last side of the triangle like seen in the pic below we will know what half of line x is

To find the length of the last side of the triangle (let's call this y) you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 4

b = y

c = 6

^^^Plug these numbers/variables into the theorem

4^{2} +y^{2} =6^{2}

solve for y

16 + y^{2}  = 36

y^{2} = 20

x = √20

x ≈ 4.472

^^^This is only half of x so if you double it then it will get you the full length of x

4.472 * 2 = 8.944

8.9 (D)

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan
belka [17]

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

7 0
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Lapatulllka [165]
I think the correct answer is c
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nataly862011 [7]

Answer:

3/2 or 1 1/2 squares.

Step-by-step explanation:

It says it on the image attached. Also, it's what you get when you multiply

3*\frac{1}{2}.

7 0
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