All categories

3 years ago

Midsegment of triangle Find the distance across the lake

Mathematics

2 answers:

Marizza181 [45]3 years ago

6 0

Answer:

The distance across the lake is 3.5 km

Step-by-step explanation:

Hypotenuse is divided in equal parts. Thus both sides are divided in the same proportion.

sergiy2304 [10]3 years ago

6 0

Step-by-step explanation:

find the length of the bottom

7•X( full length) and y•(x/2)

use scale factors (ratios)

7:y so 7/y=scale factor

(full length):(haft the length)

(full lengtb)/(haft the length)

( make sure you know in to km) (ruler)

7/2

3.5

h2=3.5

only for

finding area

find area of triangle 1/2bh

the one problem would be of cource the missing area of the shaded part.

but what im guessing is you might need to find where each end of the shaded region ends (measure the farthest distances of shaded region) and start subtracting area of the triangle. (parts of the triangle that you know have no shaded parts to them).

There is also another way but you have to cut the paper and find total burn time for that shaded part and the triangle and than convert to km

You might be interested in

Use the figure at the right to complete each proportion.

vekshin1

Answer:

33) RQ

34) PQ

35) NO

36) MO

Step-by-step explanation:

4 0

2 years ago

Answer if you know

Arlecino [84]

I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set $y=1.25$ for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance $x$ between the y-axis $x=0$ and the curve $y=\sqrt x$ . In terms of $y$ , this distance is $x=y^2$ . The height of each cross section is twice the value of $y$ , so the area of each rectangular cross section should be $2y^3$ .

This means the volume would be given by the integral

$\displaystyle\int_0^22y^3\,\mathrm dy$

8 0

2 years ago

X+y=11 and 22X+15y=228

Lady_Fox [76]

X+y=11
22x+15y=228

y=11-x
22x+15y=228
22x+15(11-x)=228
22x+165-15x=228
7x+165=228
7x=63
x=9

9+y=11
y=2

The solution to the system of equations is (9,2)

6 0

3 years ago

I need some help on this math problem, thanks so much

bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0

2 years ago

LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

$P_{DFG}=20ft+25ft+35ft=80ft$

5. Therefore, she would need 80 feet of fence.

8 0

2 years ago