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3 years ago

7

3 and 1/2 x 6 and 1/2

1 answer:

Lera25 [3.4K]3 years ago

5 0

Answer:

91/4 or 22 3/4

Step-by-step explanation: i just know

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Suppose a triangular desk will be built in the corner of that room. It will be in the shape of a 30-60-90 right triangle. The le

Iteru [2.4K]

Answer:

<u>Longer leg = 5 feet</u>

<u>Shorter leg ≅ 2.89 feet</u>

<u>Hypotenuse ≅ 5.78 feet</u>

Step-by-step explanation:

Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1: √3 :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.

Upon saying that, we can find the length of the legs of the triangle given:

Longer leg = 5 feet

Shorter leg * √3 = 5

Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet

Hypotenuse = 2 * Shorter leg

Hypotenuse = 10√3/3 ≅ 5.78 feet

8 0

4 years ago

Can someone help me with this question ? Show steps please

jek_recluse [69]

Answer:

B) $\boxed{A_T=108\;in^2}$

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

$A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}$

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

$A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}$

Finally, we sum both of the areas found to calculate the total area.

$A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}$

So, the answer is option B).

4 0

3 years ago

A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

3 0

3 years ago

A cube has a volume of 216cm³ what is the side length of the cube

ludmilkaskok [199]

Answer:

The side length of the cube is 6 cm

Step-by-step explanation:

The volume of a cube is given by

V = s^3

We know the volume is 216

216 = s^3

Take the cube root of each side

216 ^ (1/3) = s^ (1/3)

6 = s

The side length of the cube is 6 cm

5 0

3 years ago

Read 2 more answers

Try to simplify 72/6+85/6

Reil [10]

72/6+ 85/6
= (72+ 85)/6
= 157/6
= (156+1)/ 6
= 156/6+ 1/6
= 26+ 1/6
= 26 1/6

The final answer is 26 1/6~

4 0

3 years ago

Read 2 more answers