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3 years ago

10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet

Mathematics

1 answer:

wariber [46]3 years ago

3 0

Answer: 944 cubic feet

Step-by-step explanation:

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A recipe that serves 6 uses 1 1/4 cups of flour. How many cups are needed to serve 8?

pickupchik [31]

Answer:1 2/3

Step-by-step explanation:

6 uses 1 1/4. To improper fraction 6 uses 5/4. Thus 1 will use 5/4 ×1/6= 5/24. Then 8 will use 8×5/24=5/3=1 2/3

7 0

3 years ago

The hypotenuse of a 45°-45°-90° triangle measures 22 2 units.

Aleonysh [2.5K]

Answer:

Option C.

Step-by-step explanation:

Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.

Let x be the length of one leg.

From the given figure it is clear that length of both legs are same.

According to the Pythagoras theorem, in a right angled triangle

$(leg_1)^2+(leg_2)^2=hypotenuse^2$

Substitute $leg_1=leg_2=x, hypotenuse=22\sqrt{2}$ in the above formula.

$(x)^2+(x)^2=(22\sqrt{2})^2$

$2x^2=(22)^2(\sqrt{2})^2$

$2x^2=2(22)^2$

Divide both sides by 2.

$x^2=(22)^2$

Taking square root on both sides.

$x=22$

The length of one leg is 22 units.

Therefore, the correct option is C.

6 0

3 years ago

Read 2 more answers

- The position of an object moving in a straight line

Misha Larkins [42]

Answer:

s(t) = 2t^2-3t

19 = 2t^2-3t

2t^2-3t-19=0

t = [3 +- sqrt(9-4*2*-19)]/4

t = [3 +- sqrt(161)]/4

t = [3 +- 12.6886]/4

Positive answer:

t = [3+12.6886]/4

t = 3.9221 seconds

Step-by-step explanation:

4 0

3 years ago

What are the roots for x^2+47=3 2x^2+50=4 2x^2+85=7

erastovalidia [21]

$x^2+47=3\ \ \ |-47\\x^2=-44\\if\ x\in\mathbb{R}\ then\ x\in\O\\if\ x\in\mathbb{C}\ then\ x=\sqrt{-44}=i\sqrt{44}=i\sqrt{4\cdot11}=\boxed{2\sqrt{11}i}\\---------------------------\\2x^2+50=4\ \ \ |-50\\2x^2=-46\ \ \ \ |:2\\x^2=-23\\if\ x\in\mathbb{R}\ then\ x\in\O\\if\ x\in\mathbb{C}\ then\ x=\sqrt{-23}=\boxed{\sqrt{23}i}\\---------------------------\\2x^2+85=7\ \ \ |-85\\2x^2=-78\ \ \ \ |:2\\x^2=-39\\if\ x\in\mathbb{R}\ then\ x\in\O\\if\ x\in\mathbb{C}\ then\ x=\sqrt{-39}=\boxed{\sqrt{39}i}$

7 0

3 years ago

A sheet of glass has a density of 2.5g/cm^3. WHat is the density of the glass in kg/m^3?

larisa [96]

The answer is 0.0025kg/0.01m^3

5 0

3 years ago

Read 2 more answers

10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet​

10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet