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2 years ago

Find the area of the triangle. Figure is not drawn to scale. Show your work. (Image attached)

Mathematics

1 answer:

Zolol [24]2 years ago

4 0

Answer: $13.8cm^2$

Step-by-step explanation:

The area of a triangle can be calculated with the formula:

$A_{(triangle)}=\frac{b*h}{2}$

The base of the triangle is "b" and the height of the triangle is "h",

In the figure you can observe that the base and the height of the triangle are:

$b=6.9cm\\h=4cm$

Knowing these values, you can substitute them into $A_{(triangle)}=\frac{b*h}{2}$ .

Therefore, the area of the triangle is:

$A_{(triangle)}=\frac{(6.9cm)(4cm)}{2}$

$A_{(triangle)}=13.8cm^2$

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A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface aft

den301095 [7]

Answer:

2.3 feet/ second

Step-by-step explanation:

To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.

This is given by rate of change = (change in position)/ change in time

From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.

Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds

Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.

Rounding off the answer to the nearest tenth, we have 2.3 ft/second

5 0

2 years ago

Find the consecutive positive odd integers whose product is 99

dezoksy [38]

Answer:

9 and 11

Step-by-step explanation:

So let's say that the first integer is x.

That means that the second integer is x+2, since it us the next odd number.

This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.

We make an equation using these two numbers:

$(x)*(x+2)=99\\$

Now all we gotta do is solve for x:

$x^2 +2x = 99\\x^2+2x-99=0$

Now we use either splitting the middle term or quadratic formula:

$x^2+11x-9x+99=0\\x(x+11)-9(x+11)=0\\(x+11)(x-9)=0$

Now we split each terma and solve for x:

$(x-9)=0\\x=9\\(x+11)=0\\x=-11$

Now the question states positive so we can rule out x = -11.

Now we have the first integer x = 9,

the second integer is x+2 = 9+2 =11

So the two consecutive positive odd integers are 9 and 11

4 0

2 years ago

In a photograph, a house is 4 inches wide and 6 inches tall. The photograph is enlarged while keeping proportional dimensions, a

AlekseyPX

Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height $h$ , the preservation of the width/height ratio is written as

$4 \div 6 = 9 \div h$

Solving the proportion for $h$ yields

$h = \frac{6\cdot 9}{4} =\frac{3\cdot 9}{2} = \frac{27}{2} = 13.5$

6 0

2 years ago

Read 2 more answers

Find the volume of the figure. Round to the nearest hundredth.

s2008m [1.1K]

Answer:

Volume=2521.91 mm³

Step-by-step explanation:

d=13, r=13/2=6.5, h=19

volume=πr²h

=π(6.5)²×19

=2521.91 mm³

hope it helps

have a great day!!

3 0

2 years ago

sleet_krkn [62]

Answer:

Divide x by 3 O using long polynomial division.

Step-by-step explanation:

8 0

2 years ago