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3 years ago

7/10 ÷ 1/5 pls i need help

1 answer:

3 0

7/10 ÷ 1/5 = 3 1/2 because if you just find the reciprocal of the second number (in this case 1/5) and then simply multiply the two numbers straight across after you find the reciprocal, you will need to convert and simplify as needed, and then you get your answer.

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Write each number in standard form 62 hundreds and 30 tens

mestny [16]

We are given : 62 hundreds and 30 tens .

To find : the number in standard form.

Soltuion: We know hundreds represents times 100.

Also tens reprents times 10.

In order to find the values of 62 hundreds, we need to multiply 62 by 100.

In order to find the values of 32 tens, we need to multiply 32 by 10.

62 × 100 = 6200

32 × 10 = 320.

Now, we need to add those numbers above.

6200 + 320 = 6520.

In simple, we could also show as

62 hundreds and 30 tens = 62 × 100 = 30 × 10 = 6200+300 = 6520.

Therefore, standard form is 6520.

7 0

4 years ago

Read 2 more answers

Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

4 years ago

Find the area please

STatiana [176]

The correct should 356 yards^2
to solve this you simply add the are of the two squares after you calculate the area for each of them.

8 0

3 years ago

Please help I don’t understand

Kryger [21]

<h3>Answer: A) 35</h3>

===================================================

Short Explanation:

Subtract the arcs and divide by 2 like so

angle 1 = (longerArc - shorterArc)/2

angle 1 = (100 - 30)/2

angle 1 = 70/2

angle 1 = 35 degrees

---------------------------

Longer explanation:

Refer to the diagram below. I have replaced the 100 and 30 degree arcs with A and B respectively. I've also added in the arc measures of y and z.

Note how the smaller circle arc pieces A, B, y and z all form a complete full circle. So those values add to 360. We get A+B+y+z = 360. We'll use this later.

In the diagram, I've also drawn a blue segment to form a triangle. The angle x we want to find has replaced angle 1. The angles (y+B)/2 and (z+B)/2 are found through the inscribed angle theorem.

Focus on the triangle. The three angles of any triangle always add to 180, so,

(z+B)/2 + (y+B)/2 + x = 180

we can multiply both sides by 2 and we end up with

z+B + y+B + 2x = 360

z+y+2B + 2x = 360

Since we have 360 on the right hand side of this equation, and the equation A+B+y+z = 360, this means that the left sides of each equation are the same.

We can then say the following

z+y+2B + 2x = A+B+y+z

2B+2x = A+B

2x = A+B-2B

2x = A-B

x = (A-B)/2

This is the formula used in the "short explanation" section above. In this case, A = 100 and B = 30, so

x = (A-B)/2

x = (100-30)/2

x = 70/2

x = 35

The measure of angle 1 is 35 degrees.

Side note: With that formula above, we always have A > B.

8 0

3 years ago

Read 2 more answers

Write the expression 6x-24y= 36 in factored form

Nata [24]

I'm pretty sure it would be 6 (x - 4y) = 36.

8 0

3 years ago