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2 years ago

15

Sara is cutting ribbon for a math project. She has four feet of ribbon that must be cut into 7 equal lengths. How long will each

piece of ribbon be

1 answer:

Anna007 [38]2 years ago

8 0

Answer:

Step-by-step explanation:

4ft/7p=(4/7)ft per piece (approximately 0.571 ft)

(4ft/7p)(12in/ft)=(48/7) in per piece (approximately 6.86 in)

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4. Decide whether the following rates are equivalent? Answer is either: YES or NO

Arte-miy333 [17]

Answer

Yes, they are equivalent.

Step-by-step explanation:

10x2=20

13x2=26

6 0

3 years ago

Read 2 more answers

PART A<br> 3 less than half a number is 10<br> Write an expression to represent this situation.

Ivan

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n. Then:

n/2 - 3 = 10 represents this situation.

5 0

3 years ago

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Can you please help me with this question? What is 4% of 350?

OlgaM077 [116]

X = 4% * 350

x = 4/100 * 350

x = 4/10 * 35

x = 0.4 * 35

x = 14

14 is 4 percent of 350.
___________________

$\sf\ .04=\frac{4}{100}\\\\x=\frac{4}{100}\times350\\\\x=\frac{4\times350}{100}\\\\x=\frac{1400}{100}={\boxed{14}$

8 0

3 years ago

Read 2 more answers

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

Can you please explain how to write the ratios for sin x and cos x? When angles are x, y, and z. The hypotenuse being 12 and is

Kamila [148]

Your triangle has acute angles X and Y, and right angle Z.

For an acute angle A in a right triangle:

The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp

The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp

The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12

7 0

3 years ago