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jarptica [38.1K]
3 years ago
10

Ms. Hughes has 6.5 yards of yellow fabric and 12.3 yards of blue fabric. She needs a total of 20 yards of fabric. How much more

fabric does she need?
Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0
Just add. 6.5+12.3= 18.8 then subtract 20-18.8= 1.2. She needs 1.2 mores yards
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A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
Lorico [155]

The length of each side is 50 inch/ 600 ft

Step-by-step explanation:

Given,

The perimeter of the square park = 12 inches

1 inch = 200 ft

12 inches = 12×200 ft = 2400 ft

To find each side of the park.

Let, each side be 'a' inches

Formula

The perimeter of a square = 4a

According to the problem,

4a = 2400

or, a = 600 ft

= 50 inch

7 0
3 years ago
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Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.
Mashutka [201]

Answer:

in degrees: theta = 63.43°

in radians: theta = 1.11 rad

Step-by-step explanation:

To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.

Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:

atan(2) = 63.435°

So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.

Be sure to check in the calculator if the answer is given in degrees or radians.

In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)

3 0
3 years ago
Solution to the inequality 16x−33x<37x+27.
astra-53 [7]

<em><u>The solution to the inequality is:</u></em>

x>\frac{-1}{2}

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

Given inequality is:

16x-33x

We have to find the solution to given inequality

\mathrm{Add\:similar\:elements:}\:16x-33x=-17x

-17x

\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}

-17x-37x

Simplify the above inequality

-54x

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27

\mathrm{Divide\:both\:sides\:by\:}54

\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}

Thus the solution to inequality is found

3 0
4 years ago
Help porfavor, please
lakkis [162]

Answer:

Option A, (-7, -3)

Step-by-step explanation:

The answer is:  Option A, (-7, -3)

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exis [7]

Answer:

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Step-by-step explanation:

Doing the distributive property, we get the answer 10x + 16.

5 0
3 years ago
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