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3 years ago

Create a conversion factor and solve for correct units (picture is included below)

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

Answer:

4)39 ft

5)12.746mi

6)0.221 L/min

svlad2 [7]3 years ago

3 0

Answer:

4) 39 feet

5) 1.27 miles

6) 0.22 liters per minute

Step-by-step explanation:

Conversion factors are already given (3 ft = 1 yd)

Multiply yards by 3 to get feet:

13 × 3 = 39 feet

Divide feet by 5280 to get miles:

6728 ÷ 5280 ≈ 1.27 miles

Divide gallons by 0.26 to get liters:

3.5 ÷ 0.26 ≈ 13.46 liters per hour

Divide by 60 to get liters per minute

≈ 0.22 liters per minute

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4[24-3(7x+6)]-6(4-14x)

garik1379 [7]

Answer:

Step-by-step explanation:

4[24-3(7x+6)]-6(4-14x)

4(24-21x-18)-24+84x

96-84x-72-24+84x

96-72-24-84x+84x

0 + 0

5 0

3 years ago

Read 2 more answers

26 x 69. Estimate <br><br><br>

vovikov84 [41]

Answer:

1750

Step-by-step explanation:

Round 26 to 25, round 69 to 70.

25 x 70= 1750

5 0

3 years ago

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

nalin [4]

Answer:

The last one $(x=11.3, y=8)$ .

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

$sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}$

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use $sin()=\frac{opposite}{hypotenuse}$ .

$sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31$

Find y.

Notice that, we can use the Pythagorean Theorem $(c^2=a^2+b^2)$ to find y.

$c^2=a^2+b^2$

$11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99$

3) Round them off to the nearest tenth.

$x=11.31\\x=11.3$

$y=7.99\\y=8$

Therefore, the correct choice is the last one $(x=11.3, y=8)$ .

4 0

3 years ago

Which point is located on the line represented by the equation y+4=-5(x-3)?

Elis [28]

The answer would be (3,-4) This is because if you replace the variables with the numbers and solve the equation it will come out 0=0

So, lets solve.

y+4=-5(x-3)

-4+4=-5(3-3)

0=-5x0

0=0

So therefore the correct answer will be (3,-4)

Hope this helped

8 0

3 years ago

Joe has a 13-foot-long board. He needs to cut it into 5 equal length parts. How many feet long should each section of the board

Fudgin [204]

Answer:

Each section is 2 3/5 feet long.

Step-by-step explanation:

13 / 5

= 2 3/5 foot.

7 0

3 years ago