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2 years ago

6

A group is hiking up a mountain. Their hike begins at 77 feet below sea level. They stop for lunch after ascending 523 feet. Wha

t is the elevation of the group relative to sea level?

1 answer:

lozanna [386]2 years ago

3 0

Answer:

446 feet

Step-by-step explanation:

-77 + 523 = 446

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Prove that the diagonals of a rectangle bisect each other.

Umnica [9.8K]

Answer:

2

Step-by-step explanation:

example A(2a,0),B(2b,0)

C(2b,2c),D(2a,2c)

mid point of AC=((2a+2b)/2,(0+2c)/2)=(a+b,c)

mid point of BD=((2b+2a)/2,(0+2c)/2)=(a+b,c)

∴midpoint of diagonals same or diagonals bisect each other.

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3 years ago

What is the area of the trapezoid?<br><br><br> 91 in 2<br> 182 in. 2<br> 140 in 2<br> 120 in. 2

mihalych1998 [28]

Answer: 91

Step-by-step explanation:

the equation to find the area of a trapezoid is as follows:

A = (a+b)/2h

So A = 6+20 which is 26

then you divide 26 by two which gives you 13, then multiply by 7

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2 years ago

In a country that only wants girls, every family continues to have children until they have a girl. If they have a boy, they hav

Alik [6]

Complete Question

In a country in which people only want Girls, every family continues to have children until they have a Girl. If they have Girl, they stop. If they have boy, they will continuous have child. Assuming that the birthrate of Girl is 52%, what is the proportion of Girl in the country?

Answer:

0.52

Step-by-step explanation:

From the question we are told that

52% is the birthrate of Girls

Therefore

$\frac{52}{100} =0.52$

0.52 is the proportion of Girls to boys in that country

7 0

3 years ago

Solve 169x^2-42.25=0 by using square roots?<br><br> NEED HELP!!!

jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0

3 years ago

If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm

natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

$F= ke$

where F is the applied force in N

k is the spring constant N/m

e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= $\frac{15}{100}$ = $0.15m$

we can solve for the spring constant k

we also know that the force F = mg

assuming $g=9.81m/s^{2}$

therefore

$24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\$

We can use this value of k to solve for the mass that will cause an extension of $10cm= 0.1m$

$x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg$

5 0

3 years ago