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3 years ago

What is the length of leg s of the triangle below?

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Answer:

Step-by-step explanation:

s²+s²=(4√2)²

2s²=32

s²=16

s=4

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A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?

sweet-ann [11.9K]

Answer:

$18cm$

Step-by-step explanation:

From the question we are told that

First side 37 cm

Second side 19 cm

Generally considering the triangle inequality theorem we have

$37+19>X\\X+37>19\\X+19>37$

Solving equations we have

$X18\\X>-18$

Generally from the inequalities the range of X is mathematically given as

$X>18\\X$

$18cm$

Therefore the range of the Third side is

$18cm$

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3 years ago

Which expression is equivalent to 6(8-n)-8

Gnom [1K]

48-6n-8
40-6n is the answer

8 0

3 years ago

Testing: H 0 : μ ≥ 15.6 H 1 : μ < 15.6 Your sample consists of 46 values, with a sample mean of 13.4. Suppose the population

guajiro [1.7K]

Answer:

The value of the test statistic is <em>z</em> = 3.34.

Step-by-step explanation:

The information provided is:

$\bar x=13.4\\\sigma = 4.47\\n=46$

The test statistic is:

$Z=\frac{\mu-\bar x}{\sigma/\sqrt{n}}$

$=\frac{15.6-13.4}{4.47/\sqrt{46}}\\\\=3.33806\\\\\approx 3.34$

Thus, the value of the test statistic is <em>z</em> = 3.34.

5 0

3 years ago

Which statements about the hyperbola are accurate?

Marysya12 [62]

Answer:

A. There is a focus at (-9, 1).

D. There is a directrix at x = -5.8.

F. There is a directrix at x = -2.2.

Step-by-step explanation:

Just did it in edg

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3 years ago

McKenna and Lara work for their uncle Eddie who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the A

natali 33 [55]

Let x be a number of skateboards and y be the number of bicycles in Eddie's repair shop.

Eddie asks the girls to order 54 new wheels for 21 skateboards and bicycles, then

x+y=21.

One scateboard has 4 wheels, then x scateboards have 4x wheels, one bicycle has 2 wheels, then y bicycles have 2y wheels. In total there should be ordered 54 wheels, so

4x+2y=54.

Solve the system of equations:

$\left\{\begin{array}{l}x+y=21\\4x+2y=54.\end{array}\right.$

From the first equation $x=21-y.$ Substitute it into the second equation:

$4(21-y)+2y=54,\\ \\84-4y+2y=54,\\ \\-2y=54-84,\\ \\-2y=-30,\\ \\2y=30,\\ \\y=15.$

Then

$x=21-15=6.$

Answer: 6 scateboards and 15 bicycles.

8 0

3 years ago