Someone help me?Please

Michael's father bought him a 16 foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal pi

andrew-mc [135]

This may not be correct sorry , 16÷11 = 1.454545454545454545454545

6 0

2 years ago

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x$

$$\cos \left(38.5^{\circ}\right) x=40$

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}$

simplifying the above equation, we get

$$x=\frac{40}{\cos \left(38.5^{\circ}\right)}$

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0

1 year ago

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Write the polynomial in factored form.

Furkat [3]

Answer:

4x(x -4)(x +6)

Step-by-step explanation:

The factoring of 4x³ +8x² -96x will be such that the leading coefficient is 4 and the product of all constants is -96. Only one answer choice matches:

4x(x -4)(x +6)

5 0

3 years ago

Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4.<br> a.176<br> b.180<br> c.215<br> d.216

Tom [10]

The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × $2^{6}$ + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - $2^{6}$ )
Collect the like terms with a base of 2.
2( $2^{6}$ + 3 × 2³)
Evaluate the power of 2³.
2( $2^{6}$ + 3 × 8)
Evaluate the power of $2^{6}$ .
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)

5 0

2 years ago

Of 350 solitaire games that jay played, he won 154 times. what percent of the games did jay win?

ludmilkaskok [199]

Answer:

44.044%

Step-by-step explanation:

To find the answer we first have to find the value of each percent, to do this we divide 100 by 350, that gets us approximately 0.286. We know that he won 154 of them we then multiply 154 by 0.286 to get the percentage of games he won and we get 44.044.

5 0

3 years ago

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