The base of a triangle is 2 more than twice the height of the triangle. Find the measure of the base and the height if the area is 20 ft^2 (the height is 4 and the base is 10, show a process so I can see how you got there

Answers

Answer 1

Answer: B = 2 + 2H
A = 20 ft^2
H = H

Since the Area of a Triangle is Base * Height then the formula should be:
A = BH
20 = H(2+2H)
20 = 2H^2 + 2H
0 = 2H^2 + 2H - 20

Find the zeros of the quadratic equation through substituting the values of a,b, and c. You will get the zeros of x = 2.7 and -3.7. The only thing that would make sense is you use the x=2.7 because there are no negative heights.

Since b = 2h+2
b= 2(2.7) + 2
b= 5.4 + 2
b=7.4

I don't know where you got 4 and 10, but what I got is different.

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What percent of 67 is 26.8

Answers

If you would like to know what percent of 67 is 26.8, you can calculate this using the following steps:

x% of 67 is 26.8
x% * 67 = 26.8
x/100 * 67 = 26.8 /*100/67
x = 26.8 * 100 / 67
x = 40%

Result: 40% of 67 is 26.8.

26.8 is 40% of 67 :))

A necklace has 6 fewer metal beads than plastic beads.Complete the table to show the number of metal beads, a, and the number of plastic beads, b.
Function: a = b - 6.

Answers

b=6 ⇒ a=0
b=7 ⇒ a=1
b=8 ⇒ a=2
b=9 ⇒ a=3

Since your function is a =b-6 then your graph should look like this b a
_______________
6 0
7 1
8 2
9 3

Hope I helped!

Nancy worked thirty-six and three-tenths hours each week How many hours did she work in forty-seven weeks

Answers

Answer:

I believe the answer would be 1,706.1

Step-by-step explanation:

Since the problem is a fraction, it would be easier to covert it to a decimal. This is made simple since the fraction is out of ten. Now, the number should look like this: 36.3

Now let's do long division.

Now we have answer of 1706.1

We have one more step. Since there is one number behind the decimal point in 36.3, we have to put one number behind the decimal point in our answer.

As you can see in the last picture, we have 1,706.1.

I hope you understand after I have explained. If you have any other troubles, tell me.

A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens to the surface area.A) It remains the same.
B) It is multiplied by 5.
C) It is multiplied by 25.
D) It is multiplied by 125.

Answers

Answer:

Step-by-step explanation:

The surface are of the prism will be the area of a each side added together. The work would look like this:

SA = 2[(l×h)+(l×b)+(b×h)]

SA = 2(lh+lb+bh)

But if you multiply each dimension by 5, the area becomes

SA = 2[(5l×5h)+(5l×5b)+(5b×5h)]

SA = 2(5²lh+5²lb+5²bh)

SA = 5²×2(lh+lb+bh)

SA = 5²area

Since 5² = 25, then the the surface area is multiplied in size by 25.

If the ones digit of a numbers greater than 1 is 0, what factor or factors must that number have?

Answers

2,5,and 10 are factors it must have

2, 5, and 10. because it ends in 0, therefore it's an even number. it ends in 0, therefore it's divisible by 5, same goes with 10.

10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?

Answers

Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t ⇒d=48t (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

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