All categories

2 years ago

Given right triangle ABC which of the following statements must be true? Check all that apply.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

Answer:

Option A. <A and <B are complementary angles

Option D. $Sin(C)=Cos(90\°-C)$

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

$Sin(C)=Cos(A)$

$Cos(C)=Sin(A)$

Remember that

$A=90\°-C$

$Sin(C)=Cos(90\°-C)$

$Cos(C)=Sin(90\°-C)$

You might be interested in

The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

6 0

2 years ago

To change a recipe that serves 8 to make it serve 5, by what fraction would you multiply each ingredient?

NARA [144]

Let, that fraction = x
So, 8 * x = 5
x = 5/8

In short, Your Answer would be 5/8

Hope this helps!

8 0

3 years ago

Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − 3y = −12, and segment WZ is on the x − 3y = −6. Which

Nostrana [21]

Answer:

Equation shown

Step-by-step explanation:

Eq(1): x-3y=-12

X=-12+3y

=-4+y

Eq(2): x-3y=-6

X=-6+3y

=-2+y

4 0

2 years ago

Read 2 more answers

Help Please really do need help

Ksju [112]

Answer:

your answer would be a whole number, so your answer would be 1,000 i think.

this should be the answer because if you multiply

9*1000 you get 9000

if you multiply

25 * 1000 you get 25000

so on and so on

Step-by-step explanation:

hope this helps :)

5 0

2 years ago

The fraction a/b must be equal to which expression

OlgaM077 [116]

Answer:

Step-by-step explanation:

3 0

2 years ago