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2 years ago

Which triangle is a 30°-60°-90° triangle?

Mathematics

1 answer:

Talja [164]2 years ago

5 0

Answer:

the first one

Step-by-step explanation:

Hey There!

Look at the image for the rule of a 30- 60 - 90 triangle

x = 5

the hypotenuse would be x2 so 10

the longer leg would be x $\sqrt{3}$

So the first triangle is the right answer

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Which function has a different range than the function f(x)=bx?

kodGreya [7K]

The answer is D but i could be wrong

3 0

2 years ago

The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,83

slavikrds [6]

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

8 0

2 years ago

Read 2 more answers

Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being alon

enot [183]

Answer:

Length a = 59.62

Width b = 67.09

Cost = $10,734.4

Step-by-step explanation:

Solution:

Let a be the length and b be the width.

Area of the rectangle = a x b

a x b = 4000

Cost of the construction:

Cost = 100a + 80(a + 2b)

Cost = 100a + 80a + 160b

Cost = 180a + 160b Equation of the Cost of the construction.

Now, we need a and b to calculate the minimum cost required to build a lot.

From the area = a x b

we have,

a x b = 4000

b = 4000/a

Putting this equation into the cost of the construction.

We get:

Cost = 180a + 160 x (4000/a)

Cost = 180a + 640000/a

Differentiating with respect to a, we get

$C^{'}$ = 180 - 640000/ $a^{2}$

Putting $C^{'}$ = 0

180 - 640000/ $a^{2}$ = 0

Taking LCM

180 $a^{2}$ - 640000 = 0

Solving for a

180 $a^{2}$ = 640000

$a^{2}$ = 640000/180

$a^{2}$ = 3555.55

Taking square root

a = 59.62

As we know,

b = 4000/a

putting the minimum value of a = 59.62

b = 4000/59.62

b = 67.09

So, now we have both the dimensions a and b

Putting the values of a and b we will get the cost of the construction.

Cost = 180a + 160b

Cost = 180(59.62) + 160(67.09)

Cost = $10,734.4

Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.

5 0

2 years ago

Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2)

MatroZZZ [7]

I've attached working :)

7 0

2 years ago

According to a Department of Labor report, the city of Detroit had a 20% unemployment rate in May. Eight working-age residents w

ExtremeBDS [4]

Answer: 0.49668352

Step-by-step explanation:

Given : The unemployment rate : p = 20%= 0.20

Sample size : n =8

Let x be the binomial variable that represents the number of unemployed residents.

Binomial probability distribution formula : $^nC_xp^x(1-p)^x$

The probability that at least two of the residents were unemployed :

$P(x\geq2)=1-P(x$

$1-(^8C_0(0.2)^0(0.8)^8+^8C_1(0.2)^1(0.8)^7)$

$1-((1)(0.16777216)+(8)(0.2)(0.2097152))$

$1-(0.16777216+0.33554432)$

$1-(0.16777216+0.33554432)=1-0.50331648=0.49668352$

Hence, Required probability =0.49668352

4 0

2 years ago