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3 years ago

Can someone please help me with this?

Mathematics

1 answer:

sergeinik [125]3 years ago

4 0

Step-by-step explanation:

3) adjacent angles add up to 180°

4)substitution property of equality

5) subtraction property of equality

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state is the triangles in each pair are similar. If so, say how you know they are similar and complete the similarity statement

lina2011 [118]

Answer:

1st

Step-by-step explanation:

The two triangles are similar by AA

Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.

The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA

3 0

3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!

AfilCa [17]

Number 3 is the correct answer

5 0

4 years ago

Ice cream is being put into a cone at a rate of 4 cm3/s. The cone has a radius of 2 cm and a height of 8 cm.

almond37 [142]

Answer:

0.5052 cm per sec ( approx )

Step-by-step explanation:

∵ The volume of a cone is,

$V=\frac{1}{3}\pi (r)^2h$

Where,

r = radius,

h = height,

Here, r = 2 and h = 8,

Thus, the volume of the cone is,

$V=\frac{1}{3}\pi (2)^2 8=\frac{32\pi }{3}$

When the cone is half filled,

Volume would be,

$V_1=\frac{V}{2}=\frac{16\pi }{3}$

Now, $\frac{r}{h}=\frac{1}{4}\implies r=\frac{h}{4}$

$V_1=\frac{1}{3}\pi (\frac{h}{4})^2 h=\frac{\pi h^3}{48}----(1)$

$\implies \frac{\pi h^3}{48} = \frac{16\pi }{3}$

$\implies h \approx 6.35$

Differentiating equation (1) with respect to t ( time )

$\frac{dV_1}{dt}=\frac{\pi h^2}{16}\frac{dh}{dt}$

We have, $\frac{dV_1}{dt}=4\text{ cube cm per s},h=6.35\text{ cm}$

$4=\frac{\pi (6.35)^2}{16}\times \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{64}{6.35^2 \pi}\approx 0.5052\text{ cm per sec}$

7 0

3 years ago

A square is folded into half to form a rectangle. the perimeter of the rectangle is 36cm. calculate the area of a square

zhannawk [14.2K]

Answer:

Let the measure of each side of the square be " x " cm.

then ,

area of square = x²

After we folded the square into a rectangle ,

length of rectangle = x

breadth of rectangle = x/2

perimeter of rectangle = 36 cm

$x + \frac{x}{2} + x + \frac{x}{2} = 36 \\ \\ \frac{2x + x + 2x + x}{2} = 36 \\ \\ \frac{6x}{2} = 36 \\ \\ 6x = 36 \times 2 \\ \\ 6x = 72 \\ \\ 6x = \cancel{\frac{72}{6} } = 12cm$

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

8 0

3 years ago

CAN SOMEONE HELP ME PLEASE ASAP!?

svetlana [45]

$\huge\boxed{Hi\;there!}$

Remember, all angles in a triangle always add up to 180 degrees.

We are given two out of three angles. We are given the measure of one angle (50 degrees) and the measure of another angle (Right angles always equal 90 degrees)

So, we have an equation:

x+90+50=180

x=180-90-50

x=90-50

x=40

$\huge\boxed{Answer:40 \;degrees}$

$\huge\bold{Good\;luck! \;Hope\;my\;answer\;helps!}$

$\rm{StillEnjoyingLife :)$

7 0

3 years ago

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