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Masja [62]
3 years ago
5

What is the area of the equilateral triangle? Round to the nearest square centimeter. Do not include units

Mathematics
2 answers:
ziro4ka [17]3 years ago
5 0
The answer should be around 28 square centi. rounding from about 27.71
swat323 years ago
3 0
Area of an equilateral triangle is:

\frac{ \sqrt{3}}{4} 8^{2}=16\sqrt{3}=27.7128≈28

so your answer is 28


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What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
Andrej [43]

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

5 0
2 years ago
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries.
ipn [44]

Answer:

54.

Step-by-step explanation:

8/6 = 72/ x where x is the number of raspberries.

8x = 6*72

8x = 432

x = 54.

7 0
2 years ago
Need help asap im not good at math
vladimir2022 [97]

OK.

Let g(x) = ax²

We have the point (3, 1).

Substitute x = 3 and g(x) = 1:

1 = a(3²)

9a = 1    |divide both sides by 9

a = 1/9

Therefore your answer is

g(x)=\dfrac{1}{9}x^2=\left(\dfrac{1}{3}x\right)^2

6 0
3 years ago
Y=-1/4x +9 what is the slope and y - intercept
zvonat [6]
Well your slope is -1/4 and your y-intercept is 9
5 0
3 years ago
Read 2 more answers
Solve the system y= -x + 7 and y=0.5(x - 3)^2
solniwko [45]

Answer:

(- 1, 8 ) and (5, 2 )

Step-by-step explanation:

Given the 2 equations

y = - x + 7 → (1)

y = 0.5(x - 3)² → (2)

Substitute y = 0.5(x - 3)² into (1)

0.5(x - 3 )² = - x + 7 ← expand and simplify left side

0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )

x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )

x² - 4x - 5 = 0 ← in standard form

(x - 5)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )

x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )

8 0
2 years ago
Read 2 more answers
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