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mart [117]
2 years ago
15

What is 1/4 in feet?

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0

Answer:

0.25 feet

7.62 centimeters

3 inches

Step-by-step explanation:

Not really a clear question-

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Pls help you can do either one
iren [92.7K]

Answer:

4. 20.8 in

5. 60 degrees

6. i cant see number 6 so yah

Step-by-step explanation:

6 0
3 years ago
Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu
lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.


In fact, you have to buy a certain number h of hot dog package, and you will have 10h hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.


Similarly, you have to buy a certain number b of hot dog buns package, and you will have 8b hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.


Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want


10h = 8b


but you also want h and b to be the first values to satisfy this equation.


This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.


To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since 10 = 2\cdot 5 and 8 = 2^3, the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is 2^3\cdot 5 = 40.


So, if you buy 4 packages of hot dogs and 5 packages of hot dog buns, you will have 40 hot dogs and 40 hot dog buns, as requested.

4 0
3 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to y = 5 y=5y, equals, 5 and that passes through the point ( − 7 , − 5 ) (−7,
Jlenok [28]
The line of the equation perpendicular to y=5 and cuts through (-5,-7) will be given by
m(x-x1)=y-y1
where m=slope.
from y=0x+5, the slope of the perpendicular line m=0,
thus the equation will be:
0(x--5)=y--7
0=y+7
y=-7
The equation is y=-7
3 0
3 years ago
Read 2 more answers
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINLIEST!!! A triangle has side lengths of 17 cm and 8 cm. Which could be the value of the third side,
denis23 [38]

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

7 0
3 years ago
Read 2 more answers
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