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2 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Mathematics

1 answer:

andre [41]2 years ago

5 0

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

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During a football game a concert in stenciled family three hamburgers and two white dogs for a total of $13 and another family t

jeka94

Answer:

Price of hamburgers = $2

Price of white-dogs = $3

Step-by-step explanation:

Let

The number price of hamburgers be x

The number price of white-dogs be y

Then the first family buys 3 hamburgers and 2 white -dogs for $13

3x + 2y = 13-----------------------------(1)

Another first family buys 2 hamburgers and 5 white -dogs for $16

2x + 5y = 16----------------------------(2)

To solve let us multiply eq(1) by 2 and eq(2) by 3, we get

6x + 4y = 26-----------------------------(3)

6x + 15y = 48----------------------------(4)

subracting (3) from (4)

6x + 15y = 48

6x + 4y = 26

(-)

-------------------------

11y = 22

---------------------------

$y =\frac{22}{11}$

y =2

Now substituting the value of y in eq(1),

3x + 2(2) = 13

3x + 4 = 13

3x = 13-4

3x = 9

x = $\frac{9}{3}$

x =3

4 0

3 years ago

a doggie day care charges $21.50 per day. If you leave your dog 5 days a week the discount is 20%. what is the cost of leaving y

MAVERICK [17]

You'd have to pay 86 dollars per week.

6 0

3 years ago

What’s the answer thank you

Usimov [2.4K]

Answer:

Step-by-step explanation:

Division can be done by "cross multiplying", or multiplying the first equation by the reciprocal of the second equation.

In answer c, the first term remains the same, but the second is the reciprocal of the original. Also, the operator has changed from division to multiplication, so C is the correct answer.

5 0

3 years ago

The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, a

JulsSmile [24]

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

7 0

3 years ago

Read 2 more answers

X= r-h/y<br> solve for h and r

malfutka [58]

X = r - h/y ; Solve for h & r

Let's first solve for h :)

Add h/y to both sides.

h/y + x = r

So, r = h/y + x

Now, let's solve for h.

x = r-h/y

Subtract r from both sides.

-r + x = -h/y

Multiply both sides by y.

y(-r + x) = y(-h/y)

Simplify.

-ry + xy = -h

Divide both sides by -1.

ry - xy = h

So, h = ry - xy

~Hope I helped!~

3 0

3 years ago

Read 2 more answers