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3 years ago

13

A rectangular picture frame has a perimeter of 56 inches . The height of the frame is 18 inches . What is the width of the frame

?

1 answer:

Mila [183]3 years ago

4 0

Answer:

I think it's 10 inches.

Step-by-step explanation:

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5/6−(1/8÷3/4) please help i will give brainliest

klemol [59]

The answer is 2/3 but if you want it in decimal form it is 0.6

7 0

3 years ago

5/6 multiplied by 1/5<br> Show you work please

lesya692 [45]

Answer:

The answer is 5/30

Step-by-step explanation:

The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30

5 0

3 years ago

erik [133]

Answer:

Option (2)

Step-by-step explanation:

Standard form of the polynomial will be in the form of (ax⁴+ bx³+ cx²+ dx + e).

Which means exponents of each successive term will be in the reducing form and the last term will be a constant term.

Now we can rearrange the terms of the given polynomial (5x + 2x⁴ - 4) for the standard form.

(2x⁴ + 5x - 4)

Since, degree of the leading term = 4

And number of terms = 3

Given polynomial is a fourth degree trinomial.

Option (2) will be the answer.

7 0

3 years ago

Can someone answer this question please?

Troyanec [42]

The solution to the inequality $3x-3\leq -15\,\,or\,\,4x-1\geq 11$ is $x\leq -3\,\,or\,\,x\geq 4$

The number line is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: $3x-3\leq -15\,\,or\,\,4x-1\geq 11$

Solving the inequality:

$3x-3\leq -15\,\,or\,\,4x-1\geq 11\\Adding\,\,3\,\,on\,\,both\,\,sides\,\,and\,\,1\,\,on\,\,both\,\,sides\\3x-3+3\leq -15+3\,\,or\,\,4x-1+1\geq 11+1\\3x\leq -12\,\,or\,\,4x\geq 12$

Divide by 3 and divide by 12

$x\leq \frac{-12}{3} \,\,or\,\,x\geq \frac{12}{4} \\x\leq -4\,\,or\,\,x\geq 3$

So, value of x can be less than equal to -4 or value of x is greater than equal to 3.

The number line is shown in figure attached.

The solution to the inequality $3x-3\leq -15\,\,or\,\,4x-1\geq 11$ is $x\leq -3\,\,or\,\,x\geq 4$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

7 0

3 years ago

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15

Vsevolod [243]

Answer:

The rate at which the height of the water tank is changing is approximately 0.4244 ft/hour

Step-by-step explanation:

The given parameters are;

The diameter of the cone = 10 feet

The height of the cone = 15 feet

The rate at which water is leaking from the tank, (dV/dt) = 12 ft³/h

The volume of water in the tank = 27·π cubic feet

The volume V of a right circular cone with radius r and height h = 1/3×π×r²×h

The rate of change of the volume, dV, with time dt is given as follows;

The radius of the cone when the volume of the water in the tank is 27·π cubic feet is given as follows;

1/3×π×r²×h = 27·π ft³

The ratio of the height to the radius of the cone is h/r = 15/5 = 3

h/r = 3

∴ r =h/3

The volume of the cone, V = 1/3×π×r²×h = 1/3×π×(h/3)²×h = 1/27×π×h³ = h³/27×π

dV/dt = dV/dh × dh/dt

Which gives;

12 = d(h³/27×π)/dh × dh/dt = π×h²/9 × dh/dt

dh/dt = 12/(π×h²/9)

At 27·π ft³ = 1/27×π×h³ ft³, we have;

27 = 1/27×h³

27² = h³

h = ∛27² = 9

∴ dh/dt = 12/(π×h²/9) = 12/(π×9²/9) = 12/(π×9) = 4/(3·π) ≈ 0.4244 ft/hour

The rate at which the height of the water tank is changing ≈ 0.4244 ft/hour.

6 0

3 years ago