MATHEMATICS MIDDLE SCHOOL

Steve uses 8/9 gallon of paint to paint 4 identical bird houses. How many gallons of paint does he use for each birdhouse?

Answers

Answer 1

Answer:

Answer:

0.22 gallons of paint steve uses for each birdhouse .

Step-by-step explanation:

As given

$Steve\ uses\ (8)/(9)\ gallon\ of\ paint\ to\ paint\ 4\ identical\ bird\ houses.$

$Paint\ used\ for\ each\ birdhouse = (Total\ Paint\ uses)/(Number\ of\ birdhouse)$

$Paint\ used\ for\ each\ birdhouse = ((8)/(9))/(4)$

$Paint\ used\ for\ each\ birdhouse =(8)/(9* 4)$

$Paint\ used\ for\ each\ birdhouse =(2)/(9)$

= 0.22 gallons

Therefore the 0.22 gallons of paint steve uses for each birdhouse .

Answer 2

Answer: 2/9 of a gallon of paint is used per bird house.

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Answers

Answer: sorry ion k

Step-by-step explanation:

Let (-6,-5) be a point on the terminal side of theta Find the exact value of sin theta, csc theta, and cot theta

Answers

Answer:

Part 1) $sin(\theta)=-(5√(61))/(61)$ or $sin(\theta)=-(5)/(√(61))$

Part 2) $csc(\theta)=-(√(61))/(5)$

Part 3) $cot(\theta)=(6)/(5)$

Step-by-step explanation:

we know that

The point (-6,-5) lies on the III Quadrant

sin(theta) is negative

csc(theta) is negative

cot(theta) is positive

Part 1) Find the sine of angle theta

we know that

The function sine is equal to divide the opposite side to the angle theta by the hypotenuse

$sin(\theta)=(y)/(r)$

we have

$x=6\ units,y=5\ units$

Applying the Pythagoras Theorem

$r^(2)=x^(2)+y^(2)$

substitute

$r^(2)=6^(2)+5^(2)$

$r^(2)=61$

$r=√(61)\ units$ -----> the hypotenuse

substitute

$sin(\theta)=(5)/(√(61))$

Simplify

$sin(\theta)=(5√(61))/(61)$

Remember that the sin(theta) is negative

$sin(\theta)=-(5√(61))/(61)$

Part 2) Find the cosecant of angle theta

we know that

The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta

$csc(\theta)=1/sin(\theta)=(r)/(y)$

we have

$sin(\theta)=-(5)/(√(61))$

$csc(\theta)=-(√(61))/(5)$

Part 3) Find the cotangent of angle theta

we know that

The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta

$cot(\theta)=(x)/(y)$

we have

$x=6\ units,y=5\ units$

substitute

$cot(\theta)=(6)/(5)$

Final answer:

The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.

Explanation:

In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.

To answer your question:

sin theta = y/r = (-5)/sqrt((-6)^2+(-5)^2) = -5/sqrt(61)
csc theta = 1/sin(theta) = sqrt(61)/-5
cot theta = cos(theta)/sin(theta) = x/y = -6/-5 = 6/5

Learn more about Trigonometric Values here:

brainly.com/question/29069676

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An equation to show the best way to estimate 208 divided by 7 using compatible numbers

Answers

round them to the nearest 10, soooo

210 divided by 10 equals
around 21

that would be your estimate using compatible numbers.

I hope this helps =)

cual es la menor cantidad de dinero que necesito para comprar un número exacto de trajes de a $30, $45 o $50 cada uno si quiero que en cada caso me sobren $25?

Answers

I Think You Have To Multiply 30 45 50 And 25

Find the value of x for which t ll m

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C.144
D.54

Answers

A. 59

The step by step explanation is above.

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Answers

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