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4 years ago

Please help me with this...

Mathematics

1 answer:

oksian1 [2.3K]4 years ago

5 0

Well took a while but i believe the answer is 589 hugs and handshakes are exchanged.

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Consider the non-right triangle below.

denpristay [2]

Answer:

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°

8 0

3 years ago

Angelica makes $15.50 per hour, while Khalil makes $12 per

VMariaS [17]

a. Angelica makes 29.16% more than Khalil.

b. Khalil makes 22.58% less than Angelica.

Step-by-step explanation:

Given,

Per hour pay of Angelica = $15.50

Per hour pay of Khalil = $12

a. Angelica makes what percent more than Khalil?

Difference = Angelica's pay - Khalil's pay

Difference = 15.50 - 12 = $3.50

Percentage = $\frac{Difference}{Khalil's\ pay}*100$

Percentage = $\frac{3.50}{12}*100$

Percentage = $\frac{350}{12}=29.16\%$

Angelica makes 29.16% more than Khalil.

b. Khalil makes what percent less than Angelica?

Difference = Khalil's pay - Angelica's pay

Difference = 12 - 15.50 = -$3.50

Negative sign indicates the decrease.

Percent decrease = $\frac{Difference}{Angelica's pay}*100$

Percent decrease = $\frac{3.50}{15.50}*100=\frac{350}{15.50}$

Percent decrease = 22.58%

Khalil makes 22.58% less than Angelica.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago

a movie starts at 2:30 pm and ends at 4:15 pm. after the movie anne and her friends go for ice cream. they eat ice cream from 4:

Andru [333]

Answer:

The answer is two hours and thirty minutes.

Step-by-step explanation:

The movie starts at 2:30 PM, and Anne and her friends finish their ice cream at 5:00 PM. If you add two hours and thirty minutes to 2:30 PM, you reach 5:00 PM.

7 0

3 years ago

Read 2 more answers

Please help asap, 70 points, THREE questions (:

mixas84 [53]

$9x^2=17\ \ \ |:9\\\\x^2=\dfrac{17}{9}\to x=\pm\sqrt{\dfrac{17}{9}}\\\\\boxed{Answer:\ x\approx-1.37\ \vee\ x=1.37}$

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ the\ equation\ has\ 2\ solutions\\if\ \Delta=0\ then\ the\ equation\ has\ 1\ solution\\if\ \Delta < 0\ then\ the\ equation\ has\ no\ solution$

$x^2+5x+7=0\\a=1;\ b=5;\ c=7\\\\Delta=5^2-4\cdot1\cdot7=25-28=-3 < 0\\\\\boxed{Answer:\ 0}$

$5y^2-8y=2\ \ \ |-2\\\\5y^2-8y-2=0\\\\a=5;\ b=-8;\ c=-2\\\\b^2-4ac=(-8)^2-4\cdot5\cdot(-2)=64+40=104\\\\\sqrt{b^2-4ac}=\sqrt{104}\approx10.198\\\\y_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ y_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\y_1=\dfrac{-(-8)-10.198}{2\cdot5}\approx-0.22\\\\y_2=\dfrac{-(-8)+10.198}{2\cdot5}\approx1.82\\\\\boxed{Answer:\ 1.82,\ -0.22}$

5 0

3 years ago

Read 2 more answers

I'm having trouble understanding how to do this. I know i'm supposed to convert the standard form to slope-intercept form which

BigorU [14]

3x -5y = 15. Transpose 3x

-5y = -3x +15

multiply both sides by - 1

5y = +3x -15

divide both sides by 5

y = (3/5).x - 15/3 that is equal to y=(3/5).x - 3. (it's D)

5 0

3 years ago