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3 years ago

360 kilometers is 24% of how many kilometers.

2 answers:

7 0

Do 360 ÷ 24/100. Flip the fraction so that it is now 360 x 100/24. Make that 360 x 100/24. That is then 36000/24. Do the division and then you get 1500.

VLD [36.1K]3 years ago

3 0

1,500 is the answer

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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

b - base

h - height

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ subtract 25 from both sides

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

8 0

3 years ago

Simplify: 45÷3+2×8-12+30

Phantasy [73]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

disa [49]

Answer:

Option A $V_B=19\ cm^3$

Step-by-step explanation:

The volume of a cone is:

$V_B = \pi\frac{hr ^ 2}{3}$

The volume of a cylinder is:

$V_A = \pi(r ^ 2)h$

Both figures have the same height h and the same radius r.

The volume of the cylinder $V_A = 18\pi\ cm ^ 3$

We want to find the volume of the cone.

Then, we find r and h:

$V_A = 18\pi = \pi(r ^ 2)h$

We simplify.

$V_A = 18 = (r ^ 2)h$

Then the product of $(r ^ 2)h = 18$ .

We substitute this in the cone formula and get:

$V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3$

8 0

3 years ago

Read 2 more answers

What is 34/38 in simplest form? ( please show the work)

olga55 [171]

34 and 38 are both multiples of 34 and 38 so divide each by 2
34/38 = 17/19
this is its simplest form as it cannot be cancelled down any more

4 0

3 years ago

You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-

kicyunya [14]

Answer:

x+y ≤ 20

7.50x+6y ≥ 92

x = dog walking in hours

y = car washing in hours

3 0

3 years ago