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2 years ago

10

Pls help being timed

1 answer:

Airida [17]2 years ago

7 0

50 miles / 4 hours = 12.5 miles per hour

Answer: 12.5

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Help please (will give brainliest)

ycow [4]

Sin <P = opp/hyp = 12/13
m <P = 67.38 degrees

5 0

2 years ago

An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

1 year ago

Find the value of x in the following diagram,<br> 3x + 10<br> Here, B and D are points of tangency.

SVEN [57.7K]

<u>Given</u>:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

$3x+10=7x-6$

Subtracting both sides of the equation by 7x, we get;

$-4x+10=-6$

Subtracting both sides of the equation by 10, we get;

$-4x=-16$

Dividing both sides of the equation by -4, we get;

$x=4$

Thus, the value of x is 4.

5 0

2 years ago

Beth has $108.50 in her bank account. She buys x shirts for $5.50 each. Write and solve an equation Beth can use to find how man

suter [353]

$x-\ number\ of\ shirts\\\\
x*5.50=108.50\ \ \ | divide\ by\ 5.50\\\\
x\approx19\\\\
She\ can\ buy\ 19\ shirts.$

3 0

2 years ago

Read 2 more answers

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

ryzh [129]

We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = $\sqrt{14400}$ = 120 feet has the other dimension of the lot.

6 0

2 years ago