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2 years ago

9

A trapezoid has base lengths of 8 yards and 4 yards. If the height of the figure is 3 yards, what is the area? 36 square yards 9

6 square yards 18 square yards 12 square yards

1 answer:

12345 [234]2 years ago

5 0

A = 1/2(8+4)(3)
A = 6 * 3
A = 18

answer
<span>18 square yards</span>

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Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl. Fannin Lanes charges 2.50 pe

Archy [21]

Answer:

4 games

Step-by-step explanation:

<em>Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.</em>

Let x number of games played

y represents total cost to bowl

Fannin Lanes charges 2.50 per games plus 2 for shoe rental

y = 2.50x + 2

Fun Time Lanes charges 2 per game plus 4 for shoe rental.

y = 2x + 4

<u><em>If total cost to bowl be same at both center</em></u>

2.50x + 2 = 2x + 4

2.5x - 2x = 4-2

0.5x = 2

x = 4

Hence, 4 games will the cost to bowl be the same at both center.

3 0

2 years ago

What are the possible steps involved in solving the equation shown? Select three options.

e-lub [12.9K]

Answer:

Option B, C and D are correct choices.

Step-by-step explanation:

We have been given an equation $3.5+1.2(6.3-7x)=9.38$ . We are asked to choose the steps that are involved in solving the equation.

Let us solve the equation.

Using distributive property $a(b+c)=ab+ac$ , we will distribute 1.2 to 6.3 and $-7x$ .

$3.5+1.2*6.3-1.2*7x=9.38$

$3.5+7.56-8.4x=9.38$

Therefore, option B is the correct choice.

Now, we will combine like terms.

$11.06-8.4x=9.38$

Therefore, option C is the correct choice.

Now, we will subtract 11.06 from both sides of our equation.

$11.06-11.06-8.4x=9.38-11.06$

$-8.4x=-1.68$

Therefore, option D is the correct choice.

Now, to solve for x, we need to divide both sides of our equation by $-8.4$

$\frac{-8.4x}{-8.4}=\frac{-1.68}{-8.4}$

$x=0.2$

3 0

2 years ago

Read 2 more answers

Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to se

Alisiya [41]

The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:

hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2

we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2

lets expand:
144 = x^2 + 225 - 30y + y^2

substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m

substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence

3 0

2 years ago

In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthrop

saveliy_v [14]

Notice that 25+23+17+14+12+9=100, so among these students there are no 2 studying 2 subjects.

The probabilities of selecting students studying a certain subject are as follows

P(physics)=25/100
P(chemistry)=17/100
P(maths)=9/100

P(sociology)=23/100
P(political sciences)=14/100
P(anthropology)=12/100

since all the sets are disjoint, that is there are no common elements, and since all the students in consideration are enrolled in one these 6 subjects:

P(physics)+P(chemistry)+P(maths)+P(sociology)+P(political sciences)
+P(anthropology)=1

P(a)=P(sociology)+P(political sciences)+P(anthropology)+P(physics)

thus

P(a')=1-P(a)=P(chemistry)+P(maths)=17/100+9/100=26/100=0.26

Answer: 0.26

8 0

2 years ago

Lim x tends to 0 sinax/tanbx

Kipish [7]

Express tan in terms of sin and cos

= sin ax cos bx / sin bx

Now I'm stuck! sorry

For what its worth Ive drawn the graph and the answer is a/b

8 0

2 years ago