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Semenov [28]
3 years ago
7

Answer these questions

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0
Define natural hazard?

A natural hazard is a natural phenomenon that might have a negative effect on humans and other animals, or the environment. Natural hazard events can be classified into two broad categories: geophysical and biological.

What is the difference between tectonic hazards and weather hazards ?

Tectonic hazards occur when the Earth's crust moves. For example, when the plates move, friction can cause them to become stuck. Tension builds until the plates release, which leads to an earthquake. Climatic hazards occur when a region has certain weather conditions, for example heavy rainfall can lead to flooding.

why do convection currents in the mantle occur?

Heat rising and falling inside the mantle creates convection currents generated by radioactive decay in the core. The convection currents move the plates. Where convection currents diverge near the Earth's crust, plates move apart
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Juanita can complete 12 math problems in 40 minutes. How many problems can she complete in 60 minutes
RSB [31]

Answer:

The answer is 18.

Step-by-step explanation:

3 0
3 years ago
HELP Me NOW NOW NOW NOW
german

Answer:

The answer is 9/16.

Step-by-step explanation:

Using Indices Law,

{( \frac{a}{b}) }^{n} ⇒ \frac{ {a}^{n} }{ {b}^{n} }

So for this question :

{ (\frac{3}{4}) }^{2}

=  \frac{ {3}^{2} }{ {4}^{2} }

=  \frac{3 \times 3}{4 \times 4}

=  \frac{9}{16}

7 0
3 years ago
after 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sloths speed in feet per minute
grigory [225]
 I think this is how you do it: You would multiply 3/8 to 3/4 min...then convert into decimal..and get 0.5 min.
5 0
3 years ago
What is the distance between (2, -1) and (-1, -5) on the coordinate plane?
Gekata [30.6K]

C. 5 units is the answer and I am typing to make in 20 characters long.

6 0
3 years ago
Read 2 more answers
Triangle ABC has vertices A(-5, -2), B(7, -5), and C(3, 1). Find the coordinates of the intersection of the three altitudes
Darina [25.2K]

Answer:

Orthocentre (intersection of altitudes) is at (37/10, 19/5)

Step-by-step explanation:

Given three vertices of a triangle

A(-5, -2)

B(7, -5)

C(3, 1)

Solution A by geometry

Slope AB = (yb-ya) / (xb-xa) = (-5-(-2)) / (7-(-5)) = -3/12 = -1/4

Slope of line normal to AB, nab = -1/(-1/4) = 4

Altitude of AB = line through C normal to AB

(y-yc) = nab(x-xc)

y-1 = (4)(x-3)

y = 4x-11           .........................(1)

Slope BC = (yc-yb) / (xc-yb) = (1-(-5) / (3-7)= 6 / (-4) = -3/2

Slope of line normal to BC, nbc = -1 / (-3/2) = 2/3

Altitude of BC

(y-ya) = nbc(x-xa)

y-(-2) = (2/3)(x-(-5)

y = 2x/3 + 10/3 - 2

y = (2/3)(x+2)    ........................(2)

Orthocentre is at the intersection of (1) & (2)

Equate right-hand sides

4x-11 = (2/3)(x+2)

Cross multiply and simplify

12x-33 = 2x+4

10x = 37

x = 37/10  ...................(3)

substitute (3) in (2)

y = (2/3)(37/10+2)

y=(2/3)(57/10)

y = 19/5  ......................(4)

Therefore the orthocentre is at (37/10, 19/5)

Alternative Solution B using vectors

Let the position vectors of the vertices represented by

a = <-5, -2>

b = <7, -5>

c = <3, 1>

and the position vector of the orthocentre, to be found

d = <x,y>

the line perpendicular to BC through A

(a-d).(b-c) = 0                          "." is the dot product

expanding

<-5-x,-2-y>.<4,-6> = 0

simplifying

6y-4x-8 = 0 ...................(5)

Similarly, line perpendicular to CA through B

<b-d>.<c-a> = 0

<7-x,-5-y>.<8,3> = 0

Expand and simplify

-3y-8x+41 = 0 ..............(6)

Solve for x, (5) + 2(6)

-20x + 74 = 0

x = 37/10  .............(7)

Substitute (7) in (6)

-3y - 8(37/10) + 41 =0

3y = 114/10

y = 19/5  .............(8)

So orthocentre is at (37/10, 19/5)  as in part A.

8 0
3 years ago
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