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3 years ago

5

Between which two integers does 35 lie?

1 answer:

iren2701 [21]3 years ago

7 0

The answer is the first choice, "5 and 6."

The square root of 35 is equal to 5.92, which is in between the numbers 5 and 6.

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3y-6 divided by 9 = 4-2 divided by -3

antoniya [11.8K]

I believe the answer is 16/9

4 0

2 years ago

Read 2 more answers

Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

Ugo [173]

Answer:

$Side\ B = 6.0$

$\alpha = 56.3$

$\theta = 93.7$

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

$A = 10cm$

$C = 12cm$

$\beta = 30$

What the question is to calculate the third length (Side B) and the other 2 angles ( $\alpha\ and\ \theta$ )

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

$B^2 = A^2 + C^2 - 2ABCos\beta$

Substitute: $A = 10$ , $C =12$ ; $\beta = 30$

$B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30$

$B^2 = 100 + 144 - 240*0.86602540378$

$B^2 = 100 + 144 - 207.846096907$

$B^2 = 36.153903093$

Take Square root of both sides

$\sqrt{B^2} = \sqrt{36.153903093}$

$B = \sqrt{36.153903093}$

$B = 6.0128115797$

$B = 6.0$ <em>(Approximated)</em>

Calculating Angle $\alpha$

$A^2 = B^2 + C^2 - 2BCCos\alpha$

Substitute: $A = 10$ , $C =12$ ; $B = 6$

$10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 180 - 144 *Cos\alpha$

Subtract 180 from both sides

$100 - 180 = 180 - 180 - 144 *Cos\alpha$

$-80 = - 144 *Cos\alpha$

Divide both sides by -144

$\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}$

$\frac{-80}{-144} = Cos\alpha$

$0.5555556 = Cos\alpha$

Take arccos of both sides

$Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)$

$Cos^{-1}(0.5555556) = \alpha$

$56.25098078 = \alpha$

$\alpha = 56.3$ <em>(Approximated)</em>

Calculating $\theta$

Sum of angles in a triangle = 180

Hence;

$\alpha + \beta + \theta = 180$

$30 + 56.3 + \theta = 180$

$86.3 + \theta = 180$

Make $\theta$ the subject of formula

$\theta = 180 - 86.3$

$\theta = 93.7$

5 0

3 years ago

a shop sell 200 chocolate ; vanilla and strawberry ice cream 45% of the ice cream sold are vanilla and 35% are strawberry. how m

Oksanka [162]

The number of chocolate ice creams sold is 50.

<h3>How many chocolate ice creams are sold?</h3>

There exist three kinds of flavors.

45% of the ice creams exist as vanilla

30% of the ice creams exist as strawberry

x percent of the ice creams exist chocolate

The total amount of ice cream exists 200 which equals 100%.

Therefore,

45% + 30% + x = 100%

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Solving for x, then the value of x is,

x = 25%

Then the number of chocolate ice creams are:

25%(200) = 50.

The number of chocolate ice creams sold is 50.

To learn more about the value of x refer to:

brainly.com/question/9965443

#SPJ2

6 0

2 years ago

An individual is at a restaurant with two other people and they are trying to determine the tip for their check total which came

zlopas [31]

Answer:

c. The tip is $10.00

Step-by-step explanation:

The total bill in the restaurant is = $ 68.42

They wanted to pay a gratuity of 15%

Therefore the correct tip can be calculated as :

= 68.42 of 15%

= $68.42 \times \frac{15}{100}$

= 68.42 x 0.15

= 10.263

≈ 10 (approx.)

Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.

7 0

2 years ago

Find the sum of the following geometric series.<br><br> 8 + 1.6 + 0.32 + 0.064 +...

bazaltina [42]

Answer is : 1.2 geometric series

4 0

2 years ago