The height of a triangle is 8 centimeters greater than three times its base. The area of the triangle is 128 square centimeters. What is the base of the triangle?

Answer:

Step-by-step explanation:

Parallel, if you think about it infinitely, the lines will go on forever, they will never touch each other, if so that means its parallel

Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

400x2.5

[tex] \frac{1}{4}[/tex] is the answer.

(I have included the answer as picture.)

[tex]\rm{Have \: a \: great \: day! \: :)}[/tex]

Answer:

The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.

The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.

-2 times 3x is -6x  and  -2 times -4 is positive 8

Step-by-step explanation:

y = 3x - 4

3x - 2y = 13

------------------------

3x - 2(3x - 4) = 13

3x - 6x + 8 = 13

-3x + 8 = 13

-3x = 5

x = -5/3

y = 3(-5/3) - 4

y = -5 - 4

y = -9

Solution: x = -5/3 and y = -9

Answer:

$18.75

Step-by-step explanation:

25/4 = 6.25

25-6.25=18.75

$18.75

answer:

74

Step-by-step explanation:

The sample size for the given confidence interval is 96.

A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.

Given confidence of margin is at 95%

E = 0.1 = margin of error

95% confidence interval of Z = 1.96

sample size = n, which is given by

n = (Z/E)²(p)(1 - p)

n = (1.96/0.1)²(0.5)(0.5)

n = 96.04 = 96 approx

Hence, the sample size is 96.

Learn more about confidence intervals;

https://brainly.com/question/29680703

#SPJ2

x2+y2+8x+6y=0

x2+8x+6y+y=0

9x2+7y2

15x2y2

Answer:

If you are asking the shape it's rectangle if you are asking 5x5 = 25 1x1 = 1

Answer:

3x + 4y

Step-by-step explanation:

You need to explain more. If you are asking for an equation, x represents the cost of each notebook and y represents the cost of each pack of markers. Also, you did not mention how much each pack of of marker costed, so I used y to substitute that amount. If you do know how much a pack of markers costs, multiply that number by 4 and your new equation will be 3x + (whatever the product is).

Answer:

The triangle is obtuse if one angle is between 90º and 180º.

More : Acute < 90º, right = 90º, reflex > 180º (straight 180º, full rotation 360º)

Answer:

b = 4, or -4

Step-by-step explanation:

b^2 - 4*4*1 = 0

b^2 = 16

b = 4, or -4

Answer:

  4) a > b·sin(A) -- triangle exists

  5) a > b·sin(A) -- triangle exists

Step-by-step explanation:

The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...

  sin(B)/b = sin(A)/a

  sin(B) = b·sin(A)/a

In order for the triangle to exist, we must have ...

  1 ≥ sin(B)

  1 ≥ b·sin(A)/a

  a ≥ b·sin(A) . . . . . . . always true if a > b

__

  a ? b·sin(A)

  17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists

__

  a ? b·sin(A)

  24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists

_____

Additional comment

In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.

The only rational numbers that will give a right angle for B are ...

  a=1, b=2, A=30° . . . . . and any multiples of these side lengths

Answer:

Formula for area of triangle:

A = bh x 1/2

1) height is 8, and base is 8, so:

8(8) x 1/2 = 32 yd

2) height is 5, base is 6, so:

6(5) x 1/2 = 15 ft

3) height is 8, base is 10, so:
10(8) x 1/2 = 40 in

Answer:

B. because 3/2 is equal to 1.5 or 1 and a half and because of the negative on -2/3 it is a downward facing slope that has the ratio of down 2 over 3 for the slope.

Step-by-step explanation:

Answer:

Second Option

Step-by-step explanation:

The ratio of a 30-60-90 triangle is

a: a times root of 3: 2a.

Since the side opposite of 60 degree angle

[tex] \frac{3 \sqrt{3} }{2} [/tex]

The smallest angle is divided that of root 3.

[tex] \frac{3 \sqrt{3} }{2} \times \frac{1}{ \sqrt{3} } = \frac{3}{2} [/tex]

That side is b. Side A is twice of Side B. Which is

3.

Answer:

I do believe the answer is the second one

The expression 400(1.12)^y is an exponential function

The true statement is that the growth rate of the fish in the lake is 12%

The expression is given as:

400(1.12)^y

The above expression is an exponential growth function,

Where:

Next, we calculate the growth rate (r) as follows:

r = 1.12 - 1

r = 0,12

Express as percentage

r = 12%

Hence, the true statement is that the growth rate of the fish in the lake is 12%

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

I think its D

Step-by-step explanation:

Answer: One root

Explanation:

x^3 = -343

x^3 + 343 = 0

x^3 + 7^3 = 0

(x+7)(x^2 - 7x + 7^2) = 0 .... sum of cubes factoring rule

(x+7)(x^2 - 7x + 49) = 0

Set each piece equal to zero and solve for x.

You should find that the first piece x+7 = 0 leads to x = -7 as the only real root.

The other piece x^2-7x+49 = 0 leads to two non-real roots, ie complex roots.

Hey there!

13 + 18 - (4 * 6)
= 31 - 4 * 6

= 31 - 24

= 7

Thus, the answer MIGHT be: 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

part A:60

Step-by-step explanation:

25% of 20 is 5 now we know 40% of 60 which is 24 add 5+24=29 .hope this is helpful

Answer:

$50400

Step-by-step explanation:

2/5 of 240000 is 96000.

So the remaining money is 240,000-96000, which is 144000.

If 13/20 is used in the first ten days, that leaves 7/20 to be used in the next 10 days.

7/20 of 144000 is 50400.

There's the answer!

Answer:

$52.50

Step-by-step explanation:

Multiply $50 by 0.03 to find the tax = 1.5

Multiply $50 by 0.02 to find tip = 1

add $50 to 1.5 and 1 to get $52.50

Answer:

option C is correct answer.

hope this helps you !

Answer:

false

Step-by-step explanation:

to get the area of a rectangle u need to multiple length and width.

Answer:

false

Step-by-step explanation:

the given expression describes the perimeter.

the area is

length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)

We have the identity

[tex]\left(\sqrt x + \dfrac1{2^n}\right)^2 = x + \dfrac1{2^{n-1}} \sqrt x + \dfrac1{2^{2n}}[/tex]

Take the square root of both sides and rearrange terms on the right to get

[tex]\sqrt x + \dfrac1{2^n} = \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt{x} + \dfrac1{2^{n+1}}\right)}[/tex]

Decrementing n gives

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \left(\sqrt{x} + \dfrac1{2^{n}}\right)}[/tex]

and substituting the previous expression into this, we have

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right) } }[/tex]

Continuing in this fashion, after k steps we would have

[tex]\sqrt x + \dfrac1{2^{n-k}} = \sqrt{x + \dfrac1{2^{n-(k+1)}} \sqrt{x + \dfrac1{2^{n-k}} \sqrt{x + \dfrac1{2^{n-(k-1)}} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

After a total of n - 2 steps, we arrive at

[tex]\sqrt x + \dfrac14 = \sqrt{x + \dfrac12 \sqrt{x + \dfrac1{2^2} \sqrt{x + \dfrac1{2^3} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

Then as n goes to infinity, the first nested radical converges to √x + 1/4. Similar reasoning can be used to show the other nested radical converges to √x - 1/4. Then the integral reduces to

[tex]\displaystyle \int_e^{e^2} \left(\sqrt x - \frac14\right) + \left(\sqrt x + \frac14\right) \, dx = 2 \int_e^{e^2} \sqrt x \, dx = \boxed{\frac43 \left(e^3 - e^{\frac32}\right)}[/tex]