MATHEMATICS HIGH SCHOOL

Triangle D F G is shown. The length of D F is 11, the length of F G is 6, and the length of D G is 9. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot What is the area of triangle DFG? Round to the nearest whole square unit. 27 square units 38 square units 364 square units 728 square units

Answers

Answer 1
Answer:

Answer:

  27 square units

Step-by-step explanation:

To use Heron's formula, you need to know that "s" represents half the perimeter.

  s = (11 +6 +9)/2 = 13

Then the area is given by the formula as ...

  A = √(13(13 -11)(13 -6)(13 -9)) = √(13·2·7·4) = √728

  A ≈ 26.98 ≈ 27 . . . square units
Answer 2
Answer:

Answer:

27 units

Step-by-step explanation:

correct answer on edge

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Consider the exponential function f(x) = 1/5(15x). What is the value of the growth factor of the function?a.1/5
b.1/3
c.5
d.15

Answers

Answer:

Option: d is the correct answer.

      d.   15

Step-by-step explanation:

We are given a exponential function as:

             f(x)=(1)/(5)(15^x)

We know that in general a exponential function is represented by:

        f(x)=ab^x

where a is the initial amount and b represents a growth factor if it is strictly greater than 1 and a decay factor if 0<b<1

Hence, the value of the growth factor of the function is:

                              d.   15
The answer would have to be 15.

Jaclyn has 30 times a many apples as her sister he's is has 8 sticker how many stickers does Jaclyn have

Answers

Answer: 22

Step-by-step explanation:

it is 22 because 30-8=22

If Jaclyn has 30 times as many apples as her sister and her sister has 8 stickers, we can find out how many stickers Jaclyn has by multiplying her sister's number of stickers by 30.

Stickers Jaclyn has = 30 * (Stickers her sister has)

Stickers Jaclyn has = 30 * 8

Stickers Jaclyn has = 240

So, Jaclyn has 240 stickers.

5. multiply 9x^2(2x^2 8x) a) 18x^4 72x^3 b) 18x^2 72x^3 c) 11x^4 - 17x^3 d) 90x^4

Answers

9x^2(2x^2 + 8x) = 18x^4 + 72x^3

How do you Graph 6x-4y=-24

Answers

Plot the equation with respect to y, so let's re-write the equation in slope intercept form:

6x - 4y = -24

*subtract 6x from both sides, then divide through by -4

-4y = -6x - 24

y = (-6/-4)x + (-24/-4)

y = (3/2)x + 6

In slope intercept form:

y = mx + b

where:
m = slope
b = y-intercept

To answer the question, the line crosses the vertical axis line at 6 units up and has a positive slope where the rise 3 units and the run is 2 units

A and B share money in a ratio of 9:4. How much of the £39000 does B get?

Answers

so we have a total of 39000
and a total of 9+4 parts to split it in
so split 39000 into 13 parts
39000/13 = 3000
9:4
9(3000) : 4(3000)
27000:12000
I was going to answer your question but someone did it

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?A. 3/7

B. 7/3

C. 10

D. 21

Answers

Answer:

  D.  21

Step-by-step explanation:

The equation tells you xy = k. Substituting the given values, you get ...

  7·3 = k

  21 = k

Answer:

D) 21

Step-by-step explanation:

The given inverse variation equation is x.y = k, where k is the constant of proportionality.

Given: x = 7 and y = 3.

We need to find the constant variation, k.

To find the constant variation, k, plug in x = 7 and y = 3 in the given equation and simplify.

k = 7*3

k = 21.

Therefore, the constant of variation k = 21.

Answer is D) 21.
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