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3 years ago

Help pls appreciate it pls

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer: D.

Step-by-step explanation:

If we know that 1 side equal along with 1 angle is equal to the other triangles angle and side. Than only one answer really stands out (at least to me) if that makes any sense

Hope this helps

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a hotel has a number of meeting rooms,m, available for events. each meeting room has 325 chairs. write an equation to represent

liq [111]

C=325m
Because for every meeting room there is 325 chairs and c=the total of chairs

6 0

4 years ago

If f(x)=sinx 2x 1 and g is the inverse function of f

Bingel [31]

The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.

<h3>What is an inverse function?</h3>

A function that may convert into another function is known as an inverse function or anti-function.

If the function is f(x) = sinx + 2x + 1.

Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be

$\rm g'(a) = \dfrac{1}{f'(g(a))}$

The derivative of f(x) will be

f'(x) = cos x + 2

Then the given value of a will be

a = 1

g(x) = f⁻¹(x)

put x = 0, then we have

f(0) = sin 0 + 2(0) + 1

f(0) = 1

Put x = 1, in the function f⁻¹(x). Then we have

f⁻¹(1) = 0

and

g(1) = 0

Then put a = 1, then we have

$\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}$

More about the inverse function link is given below.

brainly.com/question/2541698

#SPJ4

8 0

2 years ago

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

3 years ago

Annie works as both a carpenter and a blacksmith. Last week she worked 12 hours as a carpenter and 20 hours as a blacksmith and

Minchanka [31]

Answer:Let x = pay per hour as a carpenter and y = pay per hour as a blacksmith

Last week she worked 12 hours as a carpenter

earning 12x dollars

and 20 hours as a blacksmith

earning 20y dollars

and earned a total of $860

and those two things add up to 860.

Do the same with the other sentence, giving you a second equation.

Step-by-step explanation:

6 0

3 years ago

Roberto deposits $3,000 into 2 different savings accounts.

KonstantinChe [14]

The total balance of the amount of money deposited into the account at the end of 4 years is $3194.76.

<h3>What is the total balance?</h3>

Simple interest rate is the interest that is paid only on the principal portion of the amount deposited. Compound interest is when interest is earned on the amount deposited and the interest accrued.

Compound value = amount deposited x (1 + interest rate) ^number of years

800(1.0125)^4 = $840.76

Future value of the account with simple interest = amount deposited + (principal x time x interest rate)

2200 + (2200 x 0.0175 x4) = $2354

Total value = 2354 + 840.76 = $3194.76

To learn more about compound interest, please check: brainly.com/question/26367706

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3 0

2 years ago