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Step2247 [10]
4 years ago
9

10 2/3 + 2h < 4 1/3.

Mathematics
1 answer:
Snezhnost [94]4 years ago
5 0
Well i got -19/6 but if you simplify it it would be -3.16667
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Find the length of side x simplest radical form with a rational denominator
Nuetrik [128]

Answer:

The length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}

Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 60°

adjacent of 60° = x

hypotenuse = 5

so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

cos Ф = adjacent / hypotenuse

so

cos\:60^{\circ }\:=\:\frac{x}{5}

       \frac{\sqrt{3}}{2}=\frac{x}{5}

switch sides

         \frac{x}{5}=\frac{\sqrt{3}}{2}

Multiply both sides by 5

         \frac{5x}{5}=\frac{5\sqrt{3}}{2}

Simplify

         x=\frac{5\sqrt{3}}{2}

Therefore, the length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}
5 0
3 years ago
Layla wants to build a wooden box with a volume of 450 cubic centimeters. She started with a width of 10cm and a height of 3cm.
puteri [66]

Answer:

Stop cheating and do your own work....

Mr E

Step-by-step explanation:

7 0
3 years ago
Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium
lisabon 2012 [21]

Answer:

a) $2248.75

Step-by-step explanation:

<em>Susan pays $0.3 per $100</em>

<em>For $483000, she pays $1449 insurance annually</em> : Calculation shown below

483000/100 x 0.3 = $1449

<em>Monthly instalments of the insurance premium for 12 months :</em>

annual insurance premium/ 12 months

1449/12 = $120.75

Monthly mortgage payments = $2128

Monthly total payments = monthly mortgage payments + monthly insurance premium instalment.

                                       = 1449 + 120.75

                                       = $2248.75

!!

4 0
3 years ago
Ed is 7 years older than Ted. Ed’s age is also 1/3 times Ted’s age. How old are Ed and Ted?
nata0808 [166]

Answer:

Ed is 13 Ted is 6

Step-by-step explanation:

Dont guess think

4 0
3 years ago
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea
sveticcg [70]
To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:

If two variables are directly proportional, then their graph is a linear function. 

If two variables are not directly protional, then their graph is not a linear function.
6 0
3 years ago
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