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2 years ago

The lunchroom tables were clean except for some plates and napkins.

Mathematics

2 answers:

Naddika [18.5K]2 years ago

8 0

The answer for this is (d)

Montano1993 [528]2 years ago

7 0

The answer is D or some

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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

kherson [118]

Answer:

$4x\sqrt{26}$ .

Step-by-step explanation:

Given information:

$Leg_1=4x$

$Leg_2=20x$

According to the Pythagoras theorem,

$(hypotenuse)^2=(Leg_1)^2+(leg_2)^2$

Using Pythagoras theorem, we get

$(hypotenuse)^2=(4x)^2+(20x)^2$

$(hypotenuse)^2=16x^2+400x^2$

$(hypotenuse)^2=416x^2$

Taking square root on both sides.

$hypotenuse=\sqrt{416x^2}$

$hypotenuse=4x\sqrt{26}$

Hence, the expression of the hypotenuse is $4x\sqrt{26}$ .

5 0

3 years ago

3^x=1/9<br><br> What does x equal?

Nastasia [14]

Answer: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Step-by-step explanation:

7 0

2 years ago

Sin(42) = cos(x) <br> Solve for x

mariarad [96]

Answer:

X = 48

Step-by-step explanation:

When you type sin(42) in your calculator it will give you something around 0.669.

If you try reverse sinus sin-1(0.669) it will give you 42.

Therefore you can say that:

Cos(x) = 0.669

So you can reverse the cos to get your answer

Cos-1(0.669) = 48

Cos-1 (sin(42))

3 0

3 years ago

It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

3 0

1 year ago

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics growth

emmainna [20.7K]

Answer:

$\bar{x}=61.98$

Step-by-step explanation:

The sample mean $\bar{x}$ is a point estimate of the population mean μ.

Given the heights of the 6 tomato plants sample below:

55.6, 59.4, 59.9, 62.9, 64.9, 69.2

Point Estimate,

$\bar{x}=\dfrac{55.6+59.4+59.9+62.9+64.9+69.2}{6} \\=\dfrac{371.9}{6} \\\bar{x}=61.98$

4 0

3 years ago