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2 years ago

7

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to y=5

1 answer:

koban [17]2 years ago

4 0

Answer:

I do not konw. SOREY

Step-by-step explanation:

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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

Jessica is baking a cake. The recipe says that she has to mix 96 grams of sugar to the flour. Jessica knows that 1 cup of this p

zepelin [54]

we are given the recipe of the cake made by Jessica. In this recipe, a cup weighs 128 grams in which the cake needs 96 grams. she uses half a cup which is equal to 64 grams. This means she needs to add 32 grams more which is 1/4 of a cup. In all, she needs 3/4 of a cup

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3 years ago

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A table showing Number, Value, and Total Value. The first row shows Pennies, with the entries, p, 0.01, and 0.01 p. The second r

Romashka [77]

Answer:

B: 0.01p + 0.05(22 – p) = 0.54

Step-by-step explanation:

B on edge

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3 years ago

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Find the circumference and area of a circle<br>with a radius of 5 feet.

iVinArrow [24]

Circumference = 2(pi)r

Area = (pi)r^2

r = 5

5 * 2 = 10

Circumference = 10π

5 * 5 = 25

Area = 25π

Using 3.14 as pi substitute:

5 * 3.14 = 15.7

15.7 * 2 = 31.4

Circumference = 31.4

5 * 5 = 25

25 * 3.14 = 78.5

Area = 78.5

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3 years ago

Can I PLEASE get some help?

V125BC [204]

The 1st and 3rd choices are irrational. The other 2 are rational. Irrational numbers are numbers that you can't make a simple fraction out of.

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3 years ago